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3 years ago

13

RSTU is a parallelogram. Solve for x. Please help!

1 answer:

Goryan [66]3 years ago

8 0

The answer is B-0

Work:

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Use the diagram and the Pythagorean Theorem to find the EXACT area of square ABCD

Burka [1]

ANSWER

The area of square ABCD is
$25 \: square \: unit$

EXPLANATION

The area of square ABCD is the square of the length of one side.

That is the area of ABCD is |AD|²

From Pythagoras theorem,

${|AD|}^{2} = { |AG| }^{2} + { |GD| }^{2}$

We can read from the graph that, each box is one unit.

This implies that,

${|AD|}^{2} = {4}^{2} + {3}^{2}$

${|AD|}^{2} =16 + 9$

${|AD|}^{2} =25$

Therefore the area of square ABCD is 25 square units.

The correct answer is option C.

5 0

3 years ago

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A sixth grade student bought three cans for $4 each.Sales tax for all 3 cans is $.95.Write and expression to show the total amou

shepuryov [24]

3(4) + .95
12+.96
12.96

5 0

4 years ago

Pls Need Answer Now!!

iris [78.8K]

Answer:

Option B, 14.6 units

Step-by-step explanation:

<u>Step 1: Find the distance of AB</u>

<u /> $AB =$ $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$AB =$ $\sqrt{(3 - 1)^2 + (5 - 3)^2}$

$AB =$ $\sqrt{(2)^2 + (2)^2}$

$AB =$ $2\sqrt{2}$ or 2.83...

<u>Step 2: Find the distance of BC</u>

$BC =$ $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

<u /> $BC = \sqrt{(3 -1)^2 + (-1 - 3)^2}$

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

$BC = \sqrt{4 + 16}$

$BC = \sqrt{20}$

$BC = 2\sqrt{5}$ or 4.47...

<u>Step 3: Find the perimeter</u>

<em>AB is the same as AD and BC is the same as DC</em>

<em /> $2(AB) + 2(BC)$

$2(2.83) + 2(4.47)$

$5.66 + 8.94$

14.6 units

Answer: Option B, 14.6 units

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3 years ago

3 math problem please show step by step

babymother [125]

The correct answe to tht wits is my

4 0

3 years ago

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Greg drove to school at 30 mph to drop off his friend’s car. He then jogged home at 6 mph. If the entire trip too k him 1 hour,

fredd [130]

5 miles

using the formula

time = $\frac{distance(d)}{speed}$ , then his distance can be calculated

$\frac{d}{30}$ + $\frac{d}{6}$ = 1

$\frac{d}{30}$ + $\frac{5d}{30}$ = 1

$\frac{6d}{30}$ = 1 ( multiply both sides by 30 )

6d = 30 ( divide both sides by 6 )

d = 5

He lives 5 miles from school

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3 years ago

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