Answer: d
Step-by-step explanation:
The 75 degree angle and angle d are same-side interior angles, meaning that if they were supplementary, the lines would be parallel by the converse of the same-side interior angles theorem.
True or False: You can use the Pythagorean Theorem to determine if a triangle is a right triangle or not.
Answer:
True
Step-by-step explanation:
Definitely true. If the shorter legs of the given triangle are a and b and the longest side is c, then if a^2 + b^2 = c^2, the triangle is a right triangle. Otherwise it is not a right triangle.
On the last day of vacation, the Hernandez family drove 252 miles from a state park to their home. That drive covered 35% of the total distance the family traveled during their vacation. What is the total distance the Hernandez family traveled during their vacation
Answer:
720 miles
Step-by-step explanation:
We are given a distance and a fraction of the total that it represents. This lets us write the relation ...
252 = 0.35D . . . . . . where D is the total distance traveled
252/0.35 = D = 720 . . . . divide by the coefficient of D
The Hernandez family traveled 720 miles during their vacation.
2 1/2 * 7 7/3 *- 5 3/7
Answer:
-126.66
Step-by-step explanation:
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please help!!! asap!!!
show all the steps that you use to solve this problem in the space provided
Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.
Answer:
x = 11 cos 22 = 11 * .927 = 10.2
In ΔPQR, ∠P and ∠Q are complementary angles.
.
Answer:
P + Q = 90
P = 90 - Q
Cos (p) = cos (90-Q) = sinQ = 4/5 (given)
You can find CosQ from the triangle of Q
CosQ = sqrt (5^2 - 4^2) / 5 = 3/5
Required = CosP + CosQ = 4/5 + 3/5 = 7/5
Step-by-step explanation:
hope this helps if not please let me now
Answer:
P + Q = 90
P = 90 - Q
Cos (p) = cos (90-Q) = sinQ = 4/5 (given)
You can find CosQ from the triangle of Q
CosQ = sqrt (5^2 - 4^2) / 5 = 3/5
Required = CosP + CosQ = 4/5 + 3/5 = 7/5
Step-by-step explanation:
Transversal Problems with Equations (Level 1)
Delta Math
Answer:
x = 15
Step-by-step explanation:
Where a transversal crosses parallel lines, alternate exterior angles are congruent. This lets you write an equation relating the measures of the marked angles.
__
(6x +8)° = (7x -7)° . . . . the angles have the same measure
15 = x . . . . . . . . . . . . divide by °, add 7-6x
A 17-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 10 feet from the base of the building. How high up the wall does the ladder reach?
Answer:
13.747... meters
Step-by-step explanation:
Refer to image attached~
Let AC represent the length of the ladder.Let BC represent the distance from the base of the ladder from the base of the building.Let AB (x) represent the height of the building.In this case, the longest side of the triangle formed is AC. Thus, our hypotenuse is AC (17 m).
To determine the height of the building, we need to use pythogoras theorem.
Pythogoras theorem: (Hypotenuse)² = (Side)² + (Side)²
⇒ (17)² = (10)² + (x)²⇒ 289 = 100 + (x)²⇒ 289 - 100 = (x)²⇒ 189 = (x)²Take square root both sides:
⇒ √189 = √(x)²⇒ x = √189 ≈ 13.747... metersAnswer:
13.75 ft (nearest hundredth)
Step-by-step explanation:
The ladder creates a right triangle with the wall and ground, where:
leg (base) = groundleg (height) = wallhypotenuse = ladderPythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = 10 ftc = 17 ftSubstitute the given values into the formula and solve for b:
⇒ 10² + b² = 17²
⇒ b² = 17² - 10²
⇒ b² = 289 - 100
⇒ b² = 189
⇒ b = ±√(189)
As distance is positive, b = √(189) ft only
Therefore, the ladder reaches 13.75 ft (nearest hundredth) up the wall.
Which will result in a difference of squares? (negative 7 x 4)(negative 7 x 4) (negative 7 x 4)(4 minus 7 x) (negative 7 x 4)(negative 7 x minus 4) (negative 7 x 4)(7 x minus 4)
An expression is defined as a set of numbers, variables, and mathematical operations. The expression that will result in the difference in the squares is (7x+4)(7x-4).
What is an Expression?
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The difference between the squares can be written as,
[tex]a^2-b^2=(a+b)(a-b)[/tex]
The expression that will result in the difference in the squares will be
[tex](7x+4)(7x-4)=(7x)^2-(4)^2[/tex]
Thus, the expression that will result in the difference in the squares is (7x+4)(7x-4).
Learn more about Expression:
https://brainly.com/question/13947055
x^2-y^2=16
y^2=-x+4
I need help to solve the system of equations
Gavin has 300 pencils
15% of the pencils need to be sharpened
Work out how many pencils need to be sharpened
Answer:
45 pencils
Step-by-step explanation:
15%/100% ×300
15% ×3
=45 pencils that needed to be sharpened and it is at easy as that
15% of 300 =
10%= 30
5%= 15
30+15 = 45
45 pencils need to be sharpened
PLEASE HELP!! I NEED HELP ON MY MATH
Answer:
750 and 3.125
Step-by-step explanation:
a = 750
b= 3.125
The endpoints of CD are (-2,-4) and D(6,2). What are the coordinates of the midpoints of CD
Answer:
(2,-1)
Step-by-step explanation:
[tex]midpoint = ( \frac{ - 2 + 6}{2} , \frac{ - 4 + 2}{2} ) \\ [/tex]
[tex]midpoint = ( \frac{4}{2} , \frac{ - 2}{2} ) \\ [/tex]
[tex]midpoint = (2, - 1)[/tex]
The line segment reflects across the x-axis. What are the new coordinates for the endpoints? How does the transformation affect the length of the line segment?A) (−4, −8) and (4, 1); The length of the segment does not change.B) (−4, −8) and (−4, −1); The length of the segment does not change.EliminateC) (4, −8) and (−4, 1); The transformed segment is longer.D) (4, 8) and (4, 1); The transformed segment is shorter.
Answer:
The length does not change
Step-by-step explanation:
Only dilations will change the size of something, the line is just changing locations. because it is across the x axis, apply the rule
x,-y
-4, -8
4, 1
30. Tina went to batting cages with $20. She rented a bat for $3. 25 and
paid $3 for each round. What was the greatest number of rounds Tina
could have played?
Answer:
5
Step-by-step explanation:
Tina started with $20, but had to spend $3.25 on the bat.
$20-$3.25 = $16.75, which is all she has left for rounds.
Each round costs $3.00
$16.75 divided by $3.00 comes out to 5.58 rounds, but since she can't play 1/2 a round, that means she could only play 5 rounds
5 rounds X $3.00 per round comes to $15.00
In ms Perron's class,75% of the students are boys.There are 18 boys in the class.What us the total number of students in ms. Perrons class
To solve this you first have to find your missing percentage 25%
something you can do is find the pattern that there is 75% is 3/4 of 100 so you could find what 25 %is worth out of 18 so 18/3=6.Now that you have found your 25% all you have to do is add the amount of boys to girls so 18+6=24 and you have your answer.
There are 24 students in the class in which 75% of the students are boys (18 boys)
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the total amount of students in the class.
75% of the students are boys.There are 18 boys in the class, hence:
0.75x = 18
x = 24
There are 24 students in the class in which 75% of the students are boys (18 boys)
Find out more on equation at: https://brainly.com/question/2972832
If you borrow $100 for 3 years at an
annual interest rate of 9%, how
much will you pay altogether?
Answer:
$127
Step-by-step explanation:
[tex]i = \sf \frac{prt}{100} [/tex]
=> 100 × 3 × 9/100
=> 3×9 = 27
Total amount= 27 + 100
=> 127
Answer :-- $127
Pls hurry and help me pls.
What’s the answer????
Answer:
5
Step-by-step explanation:
Answer the questions below based on the two quadratic functions.
Answer:
The vertex of Function 2 is at (2,7)
The function that has the smaller minimum value is Function 1
The smaller minimum value is 3
Step-by-step explanation:
hope this helps :)
Which is more, 6 quarts or 26 cups?
Answer:
26 cups
Step-by-step explanation:
24 cups is 6 quarts, 25 cups is 6.25 quarts, and 26 cups is 6.5 quarts.
Therefore, 26 cups = 6.5
6.5>6
26 cups is larger than 6 quarts.
If ur good with fractions percentages and decimals this one is for you !!!!
Check pic
Thanks :] xx
Answer:
1 20%, 0.2
2 1/4, 0.25
3 50%, 0.5
4 6/9
Step-by-step explanation:
A square prism has a height of 12 inches and a base with an area of 30 square inches. A cylinder is inscribed inside the prism. Which statement about the volume of the cylinder, V, is true?
The volume of the cylinder (282.74 in.³) is less than the volume of the square prism (360 in.³). Then the correct option is C.
What is a rectangular prism?A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.
What is a cylinder?A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.
A square prism has a height of 12 inches and a base with an area of 30 square inches.
A cylinder is inscribed inside the prism.
The volume of the square prism will be
[tex]V_{square} =Base[/tex] [tex]area*Height[/tex]
[tex]V_{square}=30*12[/tex]
[tex]V_{square} =360[/tex] [tex]in^3[/tex]
The volume of the cylinder will be
[tex]V_{cylinder}=\pi r^2h[/tex]
The radius of the base circle of the cylinder will be
[tex]r=\frac{\sqrt[]{30}}{2}[/tex]
[tex]r=2.7386[/tex]
Then volume will be
[tex]V_{cylinder}=\pi *(2.7368)^2*12[/tex]
[tex]V_{cylinder}=282.74[/tex] [tex]in^3[/tex]
The volume of the cylinder (282.74 in.³) is less than the volume of the square prism (360 in.³). Then the correct option is C.
More about the rectangular prism link is given below.
https://brainly.com/question/21308574
Find The Mode Of The Data 2, 4, 5, 6, 7, 2, 3, 4.
Answer:
2 and 4 is repeated mode of the data
Answer:
2 and 4
Step-by-step explanation:
The mode is the value of highest frequency in the data set2 and 4 each repeat twice whereas all other numbers only appear once2 and 4 are the mode
Which table contains input-output values of the function y = 2x - 7?
Answer:
The input-ouput is B.
Step-by-step explanation:
By plugging in 3, -4, and 5 into the x-values of the equation [tex]f(x)=2x-7[/tex] you provided you get
[tex]f(3) = 1 , f(-4) = -15 , f(5) = 3[/tex]
Please answer number 11 thank you
nicole sells breaded necklaces .each large necklace sells for $5.30 and each necklace sells for $3.80 . how much will she earn from selling 4 large necklaces and 6 small necklaces
Answer:
$41.60
Step-by-step explanation:
5.30 *4= 21.20
6*3.80=20.40
20.40+21.20=41.60
im stuck please help
Answer:
it's 720
Step-by-step explanation:
6x10=60x12=720
Fish weighs 135 pds the scale has error of up to 5%. What is the answer
3k^2+12k-7kn-28n square meters and a length of 3k-7n meters.
What expression represents the width of the rectangle?
Step-by-step explanation:
here ! I used the formula area = length × width
and just some algrbric expressions solving
Complete the following statement.
The money used in Jordan is called the dinar. The exchange rate is US $3 to 2 Jordanian dinars. To receive 22 dinars, you need to exchange
U.S. dollars.
Answer:
$33
Step-by-step explanation:
$3 = 2 Dinars
$x = 22 Dinars
3/2 = x/22
multiply 3 by 22 and divide by 2
multiply 2 by x and divide 2
which will give answer to $33.
Don't know if it makes sense