Mathematics High School

Use the following diagram to find the angle measures of the triangle, rounded to the nearest degree.

​ m∠A=
m∠B=
m∠C=

Use The Following Diagram To Find The Angle Measures Of The Triangle, Rounded To The Nearest Degree.

Answers

Answer 1

Answer:

m∠A = 30°

m∠B = 80°

m∠C = 70°

Step-by-step explanation:

By applying cosine rule in the given triangle,

b² = a² + c² - 2ac[cos(∠B)]

From the given triangle,

a = 14 m

b = 28 m

c = 24 m

(28)² = (14)² + (24)² - 2(14)(24)cos(B)

784 = 196 + 576 - 672cos(∠B)

cos(∠B) = 0.1786

∠B = [tex]\text{cos}^{-1}(0.1786)[/tex]

∠B = 79.71°

∠B = 80°

By applying sine rule in the given triangle,

[tex]\frac{\text{sinA}}{a}= \frac{\text{sinB}}{b}= \frac{\text{sinC}}{c}[/tex]

[tex]\frac{\text{sinA}}{14}= \frac{\text{sin(79.71)}}{28}= \frac{\text{sinC}}{24}[/tex]

[tex]\frac{\text{sinA}}{14}= \frac{\text{sin(79.71)}}{28}[/tex]

[tex]\text{sinA}= \frac{\text{sin(79.71)}\times 14}{28}[/tex]

sinA = 0.491958

A = 29.47°

A ≈ 30°

By applying triangle sum theorem,

m∠A + m∠B + m∠C = 180°

30° + 80° + m∠C = 180°

m∠C = 70°

Related Questions

help me please anyone please

Answers

Answer:

b=5 m

Step-by-step explanation:

3000 eura were invested for 2 years with a Compound interest rate of 3,8% for year. Find the total interest earned after 2 years. ​

Answers

Answer:

232.332

Step-by-step explanation:

3000×((3.8%+1)^small 2 -1)

(3000×((0.038%+1)small 2 -1)

232.332

Consider these four number lines of solutions. 4 number lines going from negative 5 to positive 5. Graph A: a point is at negative 4. Everything to the left of the point is shaded. Graph B: a point is at negative 4. Everything to the right of the point is shaded. Graph C: Points are at negative 4 and positive 4. Everything to the left of negative 4 and to the right of positive 4 is shaded. Graph D: points are at negative 4 and positive 4. Everything between the points is shaded. Which graph represents the solution to the inequality |k|StartAbsoluteValue k EndAbsoluteValue greater-than-or-equal-to 4? graph A graph B graph C graph D

Answers

Answer:

graph C

Step-by-step explanation:

What is the quotient 6/7 and 3/14?

Answers

The answer is 4.
Step by step explanation in photo

help me please!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:77

Step-by-step explanation:

What is g(-5)=-x-4 ?

Answers

Hello!

Answer:

g=(-x-4)/5

x=5g-4

Step-by-step explanation:

Hope this helps!

-2(9/4)^2
+9 (9/4)+5

Answers

Answer:

15.125

hope it helps-

Answer:

fraction form: 121/8

decimal form: 15.125

Step-by-step explanation:

HELP!!! Please and maybe hurry??

What is the slope of the line through the points (-4, 2) and (-16, -6)?

3/2

-5/2

2/3

2/5

Answers

Answer:

i don't know if you still need the answer but if you do i will help you

Step-by-step explanation:

face
23.) Find the total surface area

Answers

Answer:

252 m

Step-by-step explanation:

Triangles: (base x height) 2

Rectangles: width x length

Triangles = 2(7*6)/2 = 42 m

Rectangles = 3(7*10) = 210

210 + 42 = 253 m

Write the equation using the graph In slope-intercept form

Answers

Answer:

y=(2/3x)+2

Step-by-step explanation:

Selected Points: (3,4) & (-3,0)

Slope (m) = (y2-y1) / (x2-x1)

m=(4-0) / [3-(-3)]

m=4/(3+3)

m=4/6

m=2/3

Point Slope Form: y-y1=m(x-x1)

y-4=(2/3)(x-3)

y-4=(2/3x)-2

y=(2/3x)+2

Change 5 2/5 into an improper fraction. What is the answer?

Answers

Answer:

27/5

Step-by-step explanation:

5 wholes=5/1

convert 5/1 into fifths, which is 25/5

add 25/5 to 2/5 to get your answer, 27/5

What is the value of x in the equation
4z +16
12
= х - 4?

Answers

Solution:

[tex] \frac{4x + 16}{12} = x - 4 \\ = > 4x + 16 = 12(x - 4) \\ = > 4x + 16 = 12x - 48 \\ = > 16 + 48 = 12x - 4x \\ = > 64 = 8x \\ = > x = \frac{64}{8} \\ = > x = 8[/tex]

Answer:

x = 8

What is the equation of the line that is parallel to the
given line and
passes through the point (-3, 2)?

Answers

Answer:

4x+3Y=-6  D

Step-by-step explanation:

took the test

which equation is equivalent to the given equation x^2 -6x =8

Answers

Answer:

x^2 - 6x + 8 = 0

Step-by-step explanation:

Answer:

(x-3)^2 = 17

Step-by-step explanation:

Plato/Edmentum

26 is 38% of what number?

Answers

Answer:

68.4210526

Step-by-step explanation:

Hope this helps :)

Answer:

68.42

Step-by-step explanation:

and you can also derive that 38 percent of 68.42 equals 26.

7x - 3 > 18 or 3x – 25-2

Answers

Hi I hope you are having a great day :) Your question, 7x - 3 > 18 or 3x – 25-2,

Let's solve your inequality step-by-step.

7x−3>(18)(3)x−25−2

1.  Simplify both sides of the inequality.

7x−3>54x−27

2.  Subtract 54x from both sides.

7x−3−54x>54x−27−54x

−47x−3>−27

3.  Add 3 to both sides.

−47x−3+3>−27+3

−47x>−24

4.  Divide both sides by -47

Finally answer, x<24/47

Hopefully that helps you :)

Solve for the value of y

Answers

8y-2 = 30 since that is a 90 degree and the above angle is 60 degrees. 90-60=30


8y=32
y=4
Given that the m < 60° and m < (8y — 2) add up to 90° because they are complementary angles:

We could simply establish the following formula to solve for y:

m < 60° + m < (8y — 2)° = 90°

60° + 8y — 2 = 90°

58° + 8y = 90°

Subtract 58° from both sides

58° — 58° + 8y = 90° — 58°

8y = 32°

Divide both sides by 8:

8y/8 = 32°/8

y = 4


Therefore, the value of y = 4°

Double check whether we derived with the correct answer:

m < 60° + m < (8y — 2)° = 90°

m < 60° + m < 8 (4)— 2° = 90°

m < 60° + m < 32 ° — 2° = 90°

m < 60° + m < 30° = 90°

m < 90° = 90° (True statement). Thus, we have the correct value for y.

Please mark my answers as the Brainliest if you find my explanations helpful :)

The second step in the process for factoring the trinomial x2 - 4x - 32
is to:

Answers

Answer:

x 2 - 4 x - 32

( x - 8 ) ( x + 4 )

Step-by-step explanation:

( x - 8 ) ( x + 4 )

The segments shown below could form a triangle.
A
C
B
7
9
16
A. True
B. False

Answers

Answer:

that's a big false.

Step-by-step explanation:

9+7 =16 so your best try is just colinear points

77 x(3x+8)=107+88x

What is the answer

Answers

Answer:48

Step-by-step explanation: pretty easy

The table gives selected values of the function y=ax^3 + bx^2 +cx + d. What is a+d?
x -2 -1 0 1 2 3
y 36 0 -6 0 0 -24

Answers

Answer:

What is the volume of a sphere with a radius of 24 units? A. 92167 units O B, 230477 unite 3 O c. 18A324 units D. 13,8247 units

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

The seventh grade math classes are going on a field trip.

The field trip will cost $7 per student plus a one time fee of $55 for a bus to rent.

Write an expression to find the total cost of the field trip for (s) students.

Answers

Answer:

$55*($7s)

Step-by-step explanation:

So there is a one time fee for the bus. Its $55. You only pay for it once. However each student has to pay $7 to get on the bus. So 7 times how ever many students there are plus 55 dollars for the bus rent fee.

Atul, Bryony and Charlotte share an amount of money in the ratio 4:11:10
What fraction of the money does Bryony get?

Answers

4 + 11 + 10 = 25.

Assuming Bryony is the middle number, she gets 11/25 fraction of the money.

Point L is on line segment

K

M

‾

KM

. Given

L

M

=

2

LM=2 and

K

M

=

19

,

KM=19, determine the length

K

L

‾

.

KL

.

Answers

Answer:

k is the option that makes sense

Solve for y.
6x + y = 10

Answers

[tex]6x + y = 10 \\ y = 10 - 6x \\ y = 10 - 6x,x∈ℝ[/tex]

Solved✔︎

Answer:

y = 10 - 6x

Step-by-step explanation:

6x + y = 10

=> y = 10 - 6x

A single ant colony may have as many as 90,000 members. What is that number written as a whole number multiplied by a power of 10?

Answers

Answer:

9

Step-by-step explanation:

9×10=90 would make up the ant colony

13- (x + 6) = 4x - 3

Answers

Step-by-step explanation:

13 - (x + 6) = 4x - 3

13 -x -6 = 4x - 3

Group like terms

13 - 6 + 3 = 4x + x

13 - 3 = 5x

10 = 5x

Divide both sides by 5

10/5 = 5x/5

2 = x

Therefore, x is equal to 2.

Hope it helps. Please mark as brainliest.

In which situation will Kiyo end up in the same location as where she started?

Kiyo walks 3 steps forward, 9 steps backward, and 3 steps forward.

Kiyo walks 17 steps backward, 20 steps forward, and 2 steps backward.

Kiyo walks 7 steps forward, 10 steps backward, and 3 steps forward.

Kiyo walks 12 steps backward, 16 steps forward, and 8 steps backward.

GIVING BRAINLY

Answers

Answer:

In third condition

Step-by-step explanation:

In,

Kiyo walks 7 steps forward, 10 steps backward, and 3 steps forward.

what's the measure of <4?

Answers

Answer:

The angles of a triangle all add up to 190º, so the answer would be 63º

Step-by-step explanation:

The bottom angle is a right angle; 90º

The top left angle is 37º

So the top right angle must be 63º

Hope This Helps!

algebric expression
divide the following
​

Answers

Answer:

3

Step-by-step explanation:

a)3ab/-4ab = -3/4
b)5y^2/x
c)5pq
d)-5xy^6
e)9p^6q^2 - 3q^3
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