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3 years ago

Quadrilateral RSTU is a rectangle with diagonal RT. If rtu 8x + 4 and str = 3x – 2, find x

Mathematics

1 answer:

dolphi86 [110]3 years ago

7 0

Answer:

x=8

Step-by-step explanation:

we know that

If Quadrilateral RSTU is a rectangle

then

The measure of angle STU is a right angle

m∠STU=90°

m∠STU=m∠STR+m∠RTU

m∠STR+m∠RTU=90° -----> complementary angles

substitute the given values

(3x-2)+(8x+4)=90°

Solve for x

11x+2=90

11x=90-2

11x=88

x=8

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Mikes plumbing charges 68 for coming to your house and 17 per hour for labor if I paid him 357, how many hours, h, was mike at m

Roman55 [17]

Answer:

b. $68 + 17h = 357$

f. 17 hours

Step-by-step explanation:

Charges for coming to my house = $68 (this will be the constant of the equation)

Amount charged per hour labor = $17

hours = h

Total amount paid to Mike = 357

The equation that represents this situation can be expressed as:

$68 + 17h = 357$

Solve for h

$68 + 17h - 68 = 357 - 68$ (subtraction property of equality)

$17h = 289$

$\frac{17h}{17} = \frac{289}{17}$ (division property of equality)

$h = 17$

Mike was in my house for 17 hours.

5 0

3 years ago

Aaron is 5 years younger then Ron. Four years later, Ron will be twice as old as Aaron. Find their present ages.

Katyanochek1 [597]

Answer:17

Step-by-step explanation:

tommy was 14 ten years ago 2times old as ron.14/2=7 . so we add the 10 years ron is 17..c;

6 0

3 years ago

Read 2 more answers

Use the Distance Formula to find the distance between D(2, 0) and E(8, 6).

Mazyrski [523]

Answer:

The answer is

<h2> $6 \sqrt{2} \: \: \: or \: \: \: 8.50 \: \: \: \: units$ </h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

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

where

(x1 , y1) and (x2 , y2) are the points

From the question

The points are D(2, 0) and E(8, 6

The distance between them is

$|DE| = \sqrt{ ({2 - 8})^{2} + ({0 - 6})^{2} } \\ = \sqrt{( { - 6})^{2} + ( { - 6})^{2} } \\ = \sqrt{36 + 36} \\ = \sqrt{72} \: \: \: \: \: \: \: \: \: \: \\ = 6 \sqrt{2} \: \: \: \: \: \: \: \: \: \: \\ = 8.4852813$

We have the final answer as

$6 \sqrt{2} \: \: \: or \: \: \: 8.50 \: \: \: \: units$

Hope this helps you

5 0

3 years ago

I need help right away ASAP!!!Please help me please finding the missing angle

german

$\\ \sf\longmapsto tan\Theta=\dfrac{P}{B}$

$\\ \sf\longmapsto tan40=\dfrac{48}{x}$

$\\ \sf\longmapsto 0.8=\dfrac{48}{x}$

$\\ \sf\longmapsto 0.8x=48$

$\\ \sf\longmapsto x=\dfrac{48}{0.8}$

$\\ \sf\longmapsto x=60$

8 0

2 years ago

Read 2 more answers

1. Compute the percent of Mikki's Mathematics score. That is compute P X( 5 60).

Varvara68 [4.7K]

Answer:

sorry kid idontknow

Step-by-step explanation:

5 0

3 years ago