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3 years ago

BRAINLIEST FOR WHOEVER SOVLES FIRST AND GIVES A GOOD REASON.

Mathematics

1 answer:

natulia [17]3 years ago

6 0

X=60
That’s the answer

What I did to get it
(3x-60)=120
+60. +60
3x =180
————. = 60
3

X=60

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Determine whether a figure with the given vertices is a rectangle using the Distance Formula.

Alex Ar [27]

Answer:

Yes; Opposite sides are congruent, and diagonals are congruent.

Step-by-step explanation:

we have

$A(4, -7), B(4, -2), C(0, -2), D(0, -7)$

we know that

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

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

step 1

Find the length of the sides

Find the distance AB

substitute the values

$d=\sqrt{(-2+7)^{2}+(4-4)^{2}}$

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

$AB=5\ units$

Find the distance BC

substitute the values

$d=\sqrt{(-2+2)^{2}+(0-4)^{2}}$

$d=\sqrt{(0)^{2}+(-4)^{2}}$

$BC=4\ units$

Find the distance CD

substitute the values

$d=\sqrt{(-7+2)^{2}+(0-0)^{2}}$

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

$CD=5\ units$

Find the distance AD

substitute the values

$d=\sqrt{(-7+7)^{2}+(0-4)^{2}}$

$d=\sqrt{(0)^{2}+(-4)^{2}}$

$AD=4\ units$

Compare the length sides

AB=CD

BC=AD

therefore

Opposite sides are congruent

step 2

Find the length of the diagonals

Find the distance AC

substitute the values

$d=\sqrt{(-2+7)^{2}+(0-4)^{2}}$

$d=\sqrt{(5)^{2}+(-4)^{2}}$

$AC=\sqrt{41}\ units$

Find the distance BD

substitute the values

$d=\sqrt{(-7+2)^{2}+(0-4)^{2}}$

$d=\sqrt{(-5)^{2}+(-4)^{2}}$

$BD=\sqrt{41}\ units$

Compare the length of the diagonals

AC=BD

therefore

Diagonals are congruent

The figure is a rectangle, because Opposite sides are congruent, and diagonals are congruent

8 0

4 years ago

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Shawn’s box had a base area of 12 square inches. The volume of the box was 132 cubic inches.what is the height of the box

Harlamova29_29 [7]

About 37.7
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132 divided by 3.5 = 37.7

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3 years ago

Find the missing measure of the triangle given the angle measurements. 75°, 30°, y

Ket [755]

Answer:

Step-by-step explanation:

If a triangle = 180 degrees, then subtract 105 by 180, and you get 75!

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2 years ago

What is the value of a?

bekas [8.4K]

Answer:

Step-by-step explanation:

you do a/18=4/a, cross multiply

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3 years ago

1 over 2 times t equals 3 over 4

lana66690 [7]

1/2t=3/4
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