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soldier1979 [14.2K]
3 years ago
10

Two parallelograms are similar. The base of the first is 12cm, and its height is 8 cm. Find the base of the second parallelogram

if its height is 34 cm.
Mathematics
1 answer:
bearhunter [10]3 years ago
7 0

Answer:

The base of the second parallelogram is 51cm.

Step-by-step explanation:

If the parallelograms are similar, it means by applying the same scale factor to all the sides in one gives you the other. The question tells us the height of the first shape is 8cm and the height of the second shape is 34cm. That means the scale factor is:

\frac{34}{8}=4.25

Apply this same scale factor to the base of the first shape to find the base of the second:

12 \times 4.25=51

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What is the inverse of f(x)=(-2x+2)/(x+7)?
Nana76 [90]

By applying the concept of the inverse of a function and <em>algebraic</em> handling, we conclude that the inverse of f(x) = (- 2 · x + 2)/(x + 7) is g(x) = (- 7 · x + 2)/(x + 2).

<h3>How to find the inverse of a function</h3>

In this question we have a <em>rational</em> function f(x) and finding its inverse consists in clearing x in terms of f(x). Prior any algebraic handling, we need to apply the following substitutions:

x \to y

f(x) \to x

x = \frac{-2\cdot y + 2}{y+7}

x · (y + 7) = - 2 · y + 2

x · y + 7 · x = - 2 · y + 2

2 · y + x · y = - 7 · x + 2

y · (2 + x) = - 7 · x + 2

g(x) = \frac{- 7\cdot x + 2}{x + 2}

By applying the concept of the inverse of a function and <em>algebraic</em> handling, we conclude that the inverse of f(x) = (- 2 · x + 2)/(x + 7) is g(x) = (- 7 · x + 2)/(x + 2).

To learn more on inverses: brainly.com/question/7181576

#SPJ1

4 0
1 year ago
What is the answer !​
kondor19780726 [428]

Answer:

m∠OKG = 95°

Step-by-step explanation:

In the given question,

Angle OKL and angle OKG are the linear pairs.

And we know that sum of linear pair of angles is 180°.

Therefore, m∠OKL + m∠OKH = 180°

85° + m∠OKH = 180°

m∠OKH = 180° - 85°

              = 95°

Therefore, measure of angle OKG = 95° will be the answer.

3 0
2 years ago
How do i express the number 7.901 x 10 to the power of 12
Cerrena [4.2K]

Answer:

7,901,000,000,000

Step-by-step explanation:

8 0
2 years ago
ASAP!!!!!PLEASE HELP
ki77a [65]

\frac{distance}{time} =\frac{100/1609}{5/3600} = approx. 44.64\\answer D

8 0
3 years ago
Read 2 more answers
M∠ABC=95° <br> Find m∠ABD and m∠DBC.<br><br> Please explain how to do this
ch4aika [34]
(2x+23)+(9x-5)=95

11x+18=95

x= 95-18/11

x=7

therefore substituting value of x in the given equations of angles:

angle ABD = 2(7)+23=37°
angle DBC = 9(7)-5= 58° Answer


to verify = 37°+58°= 95° ( which was given)
7 0
3 years ago
Read 3 more answers
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