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3 years ago

Need help asap!

Mathematics

2 answers:

Maslowich3 years ago

8 0

TU=AB since they are congruent figure. So AB=13

devlian [24]3 years ago

8 0

Answer: $\overline{AB}=13\ units$

Step-by-step explanation:

Given: Figure TUVW ≅ figure ABCD

UV=9 , WT=17 , and TU=13

We know that if two figures are congruent then their corresponding parts (angles and sides) are also equal.

Therefore, if Figure TUVW ≅ figure ABCD then

$\overline{AB}=\overline{TU}=13\ units\\\overline{BC}=\overline{UV}=9\ units\\\overline{CD}=\overline{VW}\\\overline{AD}=\overline{TW}=17\ units$

Hence, the measure of $\overline{AB}=13\ units$

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What is the area of a parallelogram whose vertices are A(−12, 2) , B(6, 2) , C(−2, −3) , and D(−20, −3) ? Enter your answer in t

nikdorinn [45]

Let

$A(-12,2)\\B(6,2)\\C(-2,-3) \\D(-20.-3)\\E(-12.-3)$

using a graphing tool

see the attached figure to better understand the problem

we know that

Parallelogram is a quadrilateral with opposite sides parallel and equal in length

$AB=CD \\AD=BC$

The area of a parallelogram is equal to

$A=B*h$

where

B is the base

h is the height

the base B is equal to the distance AB

the height h is equal to the distance AE

Step 1

Find the distance AB

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

$A(-12,2)\\B(6,2)$

substitute the values

$d=\sqrt{(2-2)^{2}+(6+12)^{2}}$

$d=\sqrt{(0)^{2}+(18)^{2}}$

$dAB=18\ units$

Step 2

Find the distance AE

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

$A(-12,2)\\E(-12.-3)$

substitute the values

$d=\sqrt{(-3-2)^{2}+(-12+12)^{2}}$

$d=\sqrt{(-5)^{2}+(0)^{2}}$

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Step 3

Find the area of the parallelogram

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$A=B*h$

$A=AB*AE$

substitute the values

$A=18*5=90\ units^{2}$

therefore

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the area of the parallelogram is $90\ units^{2}$

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3 years ago

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Help please!

LiRa [457]

Step-by-step explanation:

The rectangle area is equal to LENGTH * WIDTH

then

t^2-16t+48 = L*W

L = [t^2-16t+48] / W

and

t^2-16t+48 = L*W

W = [t^2-16t+48] / L

Best regards

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pochemuha

I hope this helps you

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