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scoundrel [369]
3 years ago
12

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

so

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
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