16. Higher Order Thinking
a. Find the value of x given that rls.
m21 = (63 - x)º
m22 = (72 - 2x)
2
b. Find mz1 and m22.

16. Higher Order Thinkinga. Find The Value Of X Given That Rls.m21 = (63 - X)m22 = (72 - 2x)2b. Find

Answers

Answer 1

Answer:

[tex]\red{ \bold{m \angle \: 1 = 54 \degree}} \\\: \purple{ \bold{m \angle \: 2 = 54 \degree}} [/tex]

Step-by-step explanation:

[tex](a) \: \: \: \\ r || s \: \: \: (given) \\ \implies \: m \angle \: 1 = m \: \angle \: 2 \\ (corresponding \: \angle s) \\ \implies \: (63 - x) \degree = (72 - 2x) \degree \\ \implies \: 63 - x = 72 - 2x \\ \implies \: 2x - x = 72 - 63 \\ \implies \: \huge \orange{ x = 9} \\ \\ (b) \\ m \angle \: 1 = (63 - x) \degree \\ \implies \: m \angle \: 1 = (63 - 9) \degree \\ \implies \: \red{ \bold{m \angle \: 1 = 54 \degree}} \\ \implies \: \purple{ \bold{m \angle \: 2 = 54 \degree}} \\ ( \because \: m \angle \: 1 = m \: \angle \: 2)[/tex]


Related Questions

The radius of a circular swimming pool is 7.8 meters. Which is closest to the circumference of this swimming pool?

f 48.98 m g 191.04 m h 24.49 m j 47.76 m

Answers

Answer:

F. 48.98 m

Step-by-step explanation:

What is circumference?

The circumference of a circle is the distance around the circle, otherwise known as the perimeter.The formula to find the circumference of a circle is 2πr, or if you're given the diameter, πd

How does it apply here?

We are asked to find the closest circumference given of the swimming pool. We are also given the radius of the pool as 7.8 meters.

Solving

Step 1: Plug in your values.

[tex]2 * 3.14 * 7.8[/tex]

Step 2: Simplify.

[tex](2*3.14)*7.8 = 6.28 * 7.8[/tex] [tex]6.28 *7.8 = 48.984[/tex] 48.984 ≈ 48.98

Therefore, the correct answer is F. 48.98 meters.

Multiply and simplify. 11 18 × − 4 11
A) − 7 27
B) − 2 9
C) 5 9
D) 11 27

Answers

Answer:

B) − 2/9

Explanation:

[tex]\hookrightarrow \sf \dfrac{11}{18} * -\dfrac{4}{11}[/tex]

join both fractions

[tex]\hookrightarrow \sf \dfrac{11*-4}{18*11}[/tex]

simplify by multiplying

[tex]\hookrightarrow \sf \dfrac{-44}{198}[/tex]

simplify the following

[tex]\hookrightarrow \sf -\dfrac{2}{9}[/tex]

[tex]\bold{Heya!}[/tex]

→ Answer :-

B) [tex]\sf{-\frac{2}{9}[/tex]

→  EXPLANATION :

[tex]\sf{\frac{11}{18}(-\frac{4}{11})[/tex]

Apply rule :  [tex]\sf{a(-b) = -ab}[/tex]

[tex]\sf{\frac{11}{18}(-\frac{4}{11}) = -\frac{11}{18}[/tex] × [tex]\sf{\frac{4}{11}[/tex]

[tex]\sf{= -\frac{11}{18}[/tex] × [tex]\sf{\frac{4}{11}[/tex]

Cross - cancel common factor: [tex]\sf{11}[/tex]

[tex]\sf{= -\frac{4}{18}[/tex]

Factor the number: [tex]\sf{4 = 2}[/tex] × [tex]\sf{2}[/tex]

[tex]\sf{= -\frac{2 \: x \: 2}{18}[/tex]

Factor the number: [tex]\sf{ 18 = 2 \: x \: 9}[/tex]

[tex]\sf{= - \frac{2 \: x \: 2}{2 \: x \: 9}[/tex]

Cancel common factor: [tex]\sf{2}[/tex]

[tex]\sf{-\frac{2}{9}[/tex]

Hopefully This Helps ! ~

#LearnWithBrainly

[tex]\underline{Answer :}[/tex]

Jaceysan ~

Simplify the expression

Answers

Step-by-step explanation:

here

=(81x^12/3x^3)1/3

=(3^4.x^12/3.x^3)1/3

=(3^4-1.x^12-3)1/3

=(3^3×1/3.x^9×1/3)

=3×x^3

A company is considering adding a new ingredient to its bread recipe to increase the freshness of the bread. to study the impact of adding ingredient p, q, r, s, or t to the recipe, they baked 270 loaves of bread. some of the loaves contained no extra ingredients, while each of the rest contained one of the five new ingredients. the freshness of the bread was checked one week later, and the results were used to create the two-way tables below. which tables suggest an association between adding an extra ingredient and the freshness of the bread? select the three correct answers. a 3-column table with 2 rows titled effect of ingredient p on freshness. column 1 has entries contains the ingredient, does not contain the ingredient. column 2 is labeled stays fresh with entries 11, 4. column 3 is labeled does not stay fresh with entries 39, 16. a 3-column table with 2 rows titled effect of ingredient q on freshness. column 1 has entries contains the ingredient, does not contain the ingredient. column 2 is labeled stays fresh with entries 9, 4. column 3 is labeled does not stay fresh with entries 41, 16. a 3-column table with 2 rows titled effect of ingredient r on freshness. column 1 has entries contains the ingredient, does not contain the ingredient. column 2 is labeled stays fresh with entries 16, 4. column 3 is labeled does not stay fresh with entries 34, 16. a 3-column table with 2 rows titled effect of ingredient s on freshness. column 1 has entries contains the ingredient, does not contain the ingredient. column 2 is labeled stays fresh with entries 4, 4. column 3 is labeled does not stay fresh with entries 46, 16. a 3-column table with 2 rows titled effect of ingredient t on freshness. column 1 has entries contains the ingredient, does not contain the ingredient. column 2 is labeled stays fresh with entries 34, 4. column 3 is labeled does not stay fresh with entries 16, 16.

Answers

Answer:

Tables 3,4 and 5

Step-by-step explanation:

Answer on quizlet.

Answer:

h

Step-by-step explanation:

Please help I will give
BRAINLY
a THANKS
and FIVE STARS

Answers

Answer:

day 26

Step-by-step explanation:

just multiply the numbers

Answer:

Complete the following statement.Of the three pools described, Model_______ needs the largest amount of water to be completely filled. B A C. 2. See answers.

2 answers

·

1 vote:

Answer: A Step-by-step explanation: It because of The Width and Depth

Missing: ___ ‎____ ‎drew ‎net ‎pyramid,

Step-by-step explanation:

Which of these is a nonlinear function

Answers

Answer:

C. y = 3/x + 1

Step-by-step explanation:

A linear function is, well, a line. The line goes on indefinitely without a stopping point.

In one of these functions, there is a line with a stopping point.

The function y = 3/x + 1 has a point that does not have a value, which is 0. 0 cannot be a value in a denominator. All of the other functions can be expressed at all values.

Graphical proof is attached. The function in green has a discontinuity at x = 0 and therefore is not linear.

75 ounces 5 pounds which one is greater​

Answers

Answer:

5 pounds

Step-by-step explanation:

5 pounds is 80 ounces, which is greater then 75 ounces.

What would the monthly payment be for a $5,000 loan with a 6.25% interest rate compounded monthly spread over 60 months? a. $25.31 b. $97.25 c. $217.00 d. $320.95 please select the best answer from the choices provided a b c d

Answers

The monthly payment for a $5000 loan at a 5.25% rate is 97.25. Then the correct option is B.

What is a monthly payment?

The term loan refers to a sort of credit vehicle in which a sum of money is lent to another party in exchange for the value or principal amount being repaid in the future.

The loan amount is $5000 with a rate of 6.25% over 60 months.

Then the monthly payment (MP) will be

[tex]r = \dfrac{0.0625}{12} = 0.0052[/tex]

Then the formula will be

[tex]\rm MP = P \times \dfrac{r(1+r)^n}{(1+r)^n - 1}\\[/tex]

P = $5000

r = 0.0052

n = 60

Then we have

[tex]\rm MP = P \times \dfrac{0.005208(1+0.005208)^{60}}{(1+0.005208)^{60} - 1}\\\\MP = 97.245 \approx 97.25[/tex]

More about the monthly payment link is given below.

https://brainly.com/question/14064255

Can some one help me please I am not understanding this

Answers

Answer:

x = (-7.5,0)

y = (0,5.5)

Step-by-step explanation:

y = the vertical line

x = horizontal line

along the corridor, up the stairs - do the x axis first then the y axis which determines the spot of thenumbers

hope the helps :))

If the slope of a line is 4/5, does the line rise (from left to right), fall (from left to right), horizontal or vertical?

Answers

slope: 4/5 is a positive slope

positive slopes rises from left to rightpositive slopes falls from right to leftneither horizontal or vertical.

The picture below shows some examples of equation with positive slope.

Answer:

rise from left to right

Step-by-step explanation:

Linear equation: [tex]y=mx+b[/tex]

(where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept)

Positive slope: rise from left to right

[tex]m[/tex] is a positive number

[tex]\textsf{e.g.}\:y=\dfrac45x+4[/tex]

Negative slope: fall from left to right

[tex]m[/tex] is a negative number

[tex]\textsf{e.g.}\:y=-\dfrac45x+4[/tex]

Zero slope: horizontal line

[tex]m=0[/tex]

[tex]\textsf{e.g.}\:y=0x+\dfrac45\implies y=\dfrac45[/tex]

Therefore, a horizontal line is [tex]y = a[/tex] (where [tex]a[/tex] is some constant)

Infinite slope: vertical line

[tex]m= \infty[/tex]

[tex]\sf slope\: (m)=\dfrac{change\:in\:y}{change\:in\:x}[/tex]

There is no change in x-values for a vertical line, so:

[tex]\sf \implies slope=\dfrac{change\:in\:y}{0}=\infty[/tex]

We also usually call the slope of this line undefined.

Therefore, a vertical line is [tex]x = a[/tex] (where [tex]a[/tex] is some constant)

---------------------------------------------------------------------------------

Attached graph:

Positive slope: black line

Negative slope: blue line

Zero slope: green line

Infinite slope: red line

100 Points!!!! Please Show Steps!

1. Given f(x)=x^2 - 2 and g(x) =4x + 1 Find

a. f(g(x))
b. g(f(x))

Answers

f(x) = x² - 2g(x) = 4x + 1

Go from right to left in such function questions

a. f(g(x))

⇒ f(4x + 1)

⇒ (4x + 1)² - 2

⇒ 16x² + 8x + 1 - 2

⇒ 16x² + 8x - 1

b. g(f(x))

⇒ g(x² - 2)

⇒ 4(x² - 2) + 1

⇒ 4x² - 7

Answer:

[tex]f[g(x)]=16x^2+8x-1[/tex]

[tex]g[f(x)]=4x^2-7[/tex]

Step-by-step explanation:

Given functions:

[tex]f(x)=x^2 - 2[/tex]

[tex]g(x) =4x + 1[/tex]

[tex]f[g(x)][/tex] means to substitute g(x) in place of x in f(x):

[tex]\begin{aligned}\implies f[g(x)] & =[g(x)]^2-2\\ & =(4x+1)^2-2\\ & = (4x+1)(4x+1)-2\\ & = 16x^2+8x+1-2\\ & = 16x^2+8x-1\end{aligned}[/tex]

[tex]g[f(x)][/tex] means to substitute f(x) in place of x in g(x):

[tex]\begin{aligned}\implies g[f(x)] & =4[f(x)]+1\\ & = 4(x^2-2)+1\\ & = 4x^2-8+1\\ & = 4x^2-7\end{aligned}[/tex]

how many solutions does −5x+12=−12x−12

Answers

Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:

x= -24/7
decimal= -3.42…

Mixed Number Form:-3 3/7

A new washing machine is purchase by the hamilton family it cost 324.50 how much will the washing machine cost after 6% sales tax is
applied

Answers

Answer:

343.97

Step-by-step explanation:

price of vending machine is 100% = 324.50

100% + 6% sales tax = 106%=1.06

324.50*1.06

343.97

Help pls!!! No links pls and ty <33

A circle has a circumference of 51 centimeters. What is the circle's
diameter? Use 3.14 for pi and round your answer to the nearest tenth

Answers

Answer:

16.2

Step-by-step explanation:

just divide the circumference by 3.14

Answer:

diameter= 16.2338

Step-by-step explanation:

D = C/π

c means CircumferenceD means diameterπ means pi

=> D = 51/3.14

D = 16.2338

D = 16.2

Which number of trials will yield an experimental probability that most closely matches the theoretical probability of the event?
A
40
0
20
С
30
D
50

Answers

Answer:

D. 50.

Step-by-step explanation:

50 trials . The greater the number of trials the closer will the experimental probability be to the theoretical.

3.4k+(0.63−0.81k)÷0.9=5.7

Answers

Part I: Converting the terms into fraction form

Given equation:

3.4k + (0.63 - 0.81k) ÷ 0.9 = 5.7

First, let's convert the terms (that are in decimals) into fractions.

3.4k = 34k/100.63 = 63/1000.81k = 81k/1000.9 = 9/105.7 = 57/10

Replace the fraction forms in the equation:

3.4k + (0.63 - 0.81k) ÷ 0.9 = 5.734k/10 + (63/100 - 81k/100) ÷ 9/10 = 57/10

Part II: Simplifying the division being performed

Since the expression in the parenthesis can't be simplified, we can open the parenthesis. Before we do that, we need to divide the expression by 9/10 (as division is third in BODMAS). This can be done by converting the divisor into it's reciprocal and changing the sign to a multiplication sign.

34k/10 + (63/100 - 81k/100) × 10/9 = 57/10

Since there is no other division being performed, we can simplify the distributive property (as multiplication is fourth in BODMAS).

34k/10 + [63/100 × 10/9] - [81k/100 × 10/9] = 57/1034k/10 + [7/10] - [9k/10] = 57/1034k/10 + 7/10 - 9k/10 = 57/10

Part III: Isolating "k" to determine it's value

Combine like terms as needed:

34k/10 + 7/10 - 9k/10 = 57/10k(34/10 - 9/10) + 7/10 = 57/1025k/10 + 7/10 = 57/10

Subtract 7/10 both sides of the equation to isolate "x" and it's coefficient.

25k/10 + 7/10 - 7/10 = 57/10 - 7/1025k/10 = 50/10

Cancel the denominators (as a/b = c/b ⇔ a = c)

25k/10 = 50/1025k = 50

Divide both sides by 25 to isolate "k"

25k/25 = 50/25k = 2

What is formula for Correlation of Karl's Pearson (Short-cut Mean Method)?


❥[tex] \huge { \mathfrak{\fbox{ \green{Correlation}}}}[/tex]

Answers

[tex]r = \frac{Σ(X-X)(Y-Y)}{\sqrt{Σ(X-X)²} \sqrt{(Y-Y)²}}[/tex]

Where, X-mean of X variable

Y - mean of Y variable

GIVING BRAINLEST TO THE PERSON THAT CAN EXPLAIN HOW TO DO THIS THE BEST :)

Answers

Answer:

I think area will me 24 sq unit

Explanation:

AC=6

BD=8

1/2 × 8 × 6 = 24

Plot the points then find the length of the to intersecting lines… D1 and D2 (please see photo)

The answer is 24units or the second selection.

46. 3 Divided 1. 5 I can't find the answer on this question

Answers

Answer:

30.8666666666666...(repeating 6)

Step-by-step explanation:

46.3/1.5=30.8666666666....

Which function is the inverse of f(x) = 2x+ 3?

Answers

[tex]f(x) = y = 2x +3\\\\\text{Replace x with y and then solve for y:}\\\\~~~~~~~x= 2y+3 \\\\\implies 2y = x-3\\\\\implies y = \dfrac{x-3}2\\\\\implies f^{-1}(x)= \dfrac{x-3}2[/tex]

area = 756 cm^2
h = 18 cm
a = 39 cm
b = ?​

Answers

Answer:

given,

area= 756cm^2

h = 18cm

a = 39cm

then,

area = (a+b)h/2

756 = (39+b)18/2

756= 351+9b

756-351= 9b

405 = 9b

405/9= b

b = 45cm

If f(x) = 3x + 5 and g(x) = -2x - 5x+3, find (f + g)(x).

O A. (f+ g)(x) = -2x + 8
O B. (f + g)(x) = -4x + 8
OC. (f+ g)(x) = -2x2 + 8x+ 8
OD. (f + g)(x) = -2x2 - 2x + 8

Answers

Answer:

D. (f + g)(x) = -2x² - 2x + 8

Step-by-step explanation:

Given:

f(x) = 3x + 5g(x) = -2x² - 5x + 3

Find (f + g)(x):

⇒ [tex]f(x) + f(g)[/tex]

[tex]3x + 5 + ( -2x^{2} - 5x + 3 )[/tex]

⇒ [tex]3x + 5 - 2x^{2} - 5x + 3[/tex]

Combine like terms:

⇒ [tex]-2x^{2} + 3x - 5x + 5 + 3[/tex]

⇒ [tex]-2x^{2} - 2x + 8[/tex]

Answer: D. (f + g)(x) = -2x² - 2x + 8

HELP PLEASE!!! I WILL GIVE 25 POINTS
What is the slope of the line.

Answers

1.

Use rise over run method. The line rises one block and runs one block.

Makati and his friends rolled two fair number cubes 500 times and recorded the sum of the numbers shown on the cubes each time. On 42 of the trails sum was 10. Which of these is fair number cubes are rolled

Answers

Answer:

1/2 anwser is B

Step-by-step explanation:

rolled 2 fair number 500 times right? okay so the sum is a number of anytotal added up correct?

it was shown on the cubes each time ,so you can assume wit 42+10=52?2=x well then just divide that by 500! wich is 1/2

A relay race covers a distance of 2 1/2 miles. Each runner on the team will run 1/4 mile. How many runners are needed for the team to cover the total distance of the race?

Answers

Answer:

6

Step-by-step explanation:

10 runners

explanation:

1/4 x 10 = 2 1/2

help me PLEASEE i really don’t understand

Answers

Area =Length(L) x Length(L)
Area = L^2
625 = L^2
L = √625
L= 25 m

Perimeter = 4L = 4 x 25 = 100 m
Answer = 100 meters

Evaluate (1/1000)1/3. Express your answer as a fraction in the simplest form.
1/1000 is a fraction and so is 1/3 1/3 is also a power outside of the parenthesis.

Answers

Answer:

1/10

Step-by-step explanation:

(1/1000) ^ (1/3) means that you are trying to find ONE of the THREE equal factors of 1 and 1000

1³ = 1

10³ = 10000

so the answer is 1/10

or think of it like ∛ (1/1000) = 1/10

Which value of x makes the following equation true?

2(x + 10) = x + 23
A.
3
B.
23
C.
13
D.
-7

Answers

Answer:

[tex]\Longrightarrow:\boxed{\sf{x=3}}[/tex]

Step-by-step explanation:

Isolate the term of x, from one side of the equation.

2(x+10)=x+23

Use the distributive property.

Distributive property:

⇒ A(B+C)=AB+AC

2(x+10)

2*x=2x

2*10=20

2x+20=x+23

First, subtract by 20 from both sides.

2x+20-20=x+23-20

Solve.

Subtract the numbers from left to right.

23-20=3

2x=x+3

Then, you subtract by x from both sides.

2x-x=x+3-x

Solve.

[tex]\Longrightarrow: \boxed{\sf{x=3}}[/tex]

Therefore, the correct answer is x=3.

Answer:

x = 3Option A is the correct answer .

Step-by-step explanation:

In this question we're given with an equation that is 2(x + 10) = x + 23 and we are asked to find the value of x .

Solution : -

[tex] \longmapsto \: 2(x + 10) = x + 23[/tex]

Step 1 : Solving the parenthesis on left hand side :

[tex]\longmapsto \:2x + 20 = x + 23[/tex]

Step 2 : Subtracting 20 on both sides :

[tex]\longmapsto \:2x + \bold{ \cancel{20}} - \bold{ \cancel{20} }= x + \bold{23 - 20}[/tex]

On further calculations , we get :

[tex]\longmapsto \:2x =x + 3[/tex]

Step 3 : Subtracting x on both sides :

[tex]\longmapsto \:2x - x = \bold{ \cancel{x} }+ 3 - \bold{ \cancel{x}}[/tex]

On further calculations, we get :

[tex]\longmapsto \: \red {\boxed{{x = 3}}}[/tex]

Therefore, value of x is 3 .

Now , we're verifying our answer by substituting the value of x in given equation :

2(x + 10) = x + 23

2 ( 3 + 10 ) = 3 + 23

2 ( 13 ) = 26

26 = 26

L.H.S = R.H.S

Hence, Verified .

Therefore, our answer is correct.

#Keep Learning

(24 +2)divide by 2 order operation

Answers

Answer:

13

Step-by-step explanation:

(24+2)/2 would be the expression.

PEMDAS so first complete the numbers in the Parantheseis:

(24+2)/2 = 26/2

Since there are no exponents or mulitplication, divide:

26/2 = 13

Hope this helps!

What is the value of y in the solution to this system of equations?

6y + x = negative59
x = negative2y + 9

Answers

Answer:

X=-8,Y=-8.5

Step-by-step explanation:

just substitute the second equation into the first one where x is and solve for y. Then playe value of y in second equation and get x.

Other Questions
Complete the sentences using the passive:1)A street vendor sold Paul a stolen phone. A stolen phone2)He promised Sue that tablet Sue3)The company will offer him a job. A job4)The airline has sent Mary a free ticket. A free ticket 5)The courier can deliver the parcel to John now. The parcel Which expression correctly shows the difference between the product of 8 and 5 and the sum of 8 and 7?O 8 x (5-8) +7O (8 x 5) + (8 + 7)O 8x (5+8)+7O (8 x 5) - (8 + 7)feelWacomaer Please help Quick Do Today!!! Do you think that laws protecting voting rights create other avenues that lead to de facto discrimination? 20 x 20 x 20 x 20 x 20 please help I need it Jasper wants to buy 4kilograms of nails and 4kilograms of standard washers .How much will hespend? rivets $0.69 per kg nails $0.74 per kg standard washers $1.67 per kg split washers $1.12 per kg bolts $0.90 per kg $ Questions answered What value of c makes x2 6x c a perfect square trinomial? A bag contains 6 red marbles, 8 blue marbles and 4 green marbles. If two marbles are drawn out of the bag, what is the probability, to thenearest 1000th, that both marbles drawn will be blue?PLEASE HELP IF YOU CAN Find the nature of the roots of 4x ^ 2 + 6x - 7 = 0a. complexb. irrational c. rationald. real and equal King Tut died at what age Miss work for no reason knowing they would be fired.Why did they do it, you think? Suggest 2 types of learned behaviors and two innate behaviors that you have observed in animals (cats, dogs, whales, humans) Read the excerpt from Up from Slavery by Booker T. Washington. While we take pride in what we exhibit as a result of our independent efforts, we do not for a moment forget that our part in this exhibition would fall far short of your expectations but for the constant help that has come to our education life, not only from the Southern states, but especially from Northern philanthropists. Read the excerpt from The Souls of Black Folk by W. E. B. Du Bois. First, it is the duty of black men to judge the South discriminatingly. The present generation of Southerners are not responsible for the past, and they should not be blindly hated or blamed for it. Furthermore, to no class is the indiscriminate endorsement of the recent course of the South toward Negroes more nauseating than to the best thought of the South. What evidence do the two texts have in common? They both excuse the wrongdoing of the South. They both focus on individual efforts. They both point out that the South has not been solely oppressive. They both see the South as exhibiting a history of oppression. This scene is from the second act of The Tragedy of Romeo and Juliet. The use of soliloquy at this point in the play helps to advance the plot byA. further developing Romeo's love for Juliet, despite their feuding familiesB, providing insight into Romeo's fear that the Capulets will discover himC emphasizing Romeo's determination to change Juliet's mind about himD. describing Romeo's desires to discover Juliet's true hopes for the future Give your answer in minutes. Question 5(Multiple Choice Worth 3 points)(03.03)Which of the following describes the location of the opposite of the number that R represents on this line? a customer borrows $950 at 6% annual interest rate Andy Benton works at the local Starbucks coffee shop and his responsibilities include taking orders, fulfilling orders, and ringing in sales. At what level of the organizational pyramid would you categorize Andy What geological process formed the Himalayas 1. Which party will/would you vote for in the federal election? Give 3 reasons for ( liberal or New Democratic)your choice. (write at least 10 sentences) Pls help me Please hurry!What is the relationship between coronary artery disease and a heart attack?-Coronary artery disease is a symptom of heart attacks.-Heart attacks reduce blood flow to the heart and cause coronary artery disease.-Coronary artery disease can reduce blood flow to the heart and cause heart attacks.-Heart attacks occur when coronary artery disease is treated.