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3 years ago

8

Find the measure of each angle listed below.

1 answer:

gogolik [260]3 years ago

3 0

Answer:

<P 40, <Q 25, <PRQ 115, <PRS 65

Step-by-step explanation:

exteririor angle = sum of remote angles

(3x + 4) + (2x + 1) = (6x - 7)

3x + 2x + 4 + 1 = 6x - 7

5x + 5 = 6x - 7

<u> +7 +7</u>

5x + 12 = 6x

<u>-5x -5x</u>

12 = x

x = 12

find angle mesures:

3(12) + 4

36 + 4

40

2(12) + 1

24 + 1

25

6(12) - 7

72 - 7

65

forms linear pair

65 + m<PRQ = 180

-65 -65

m<PRQ = 115

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The dimensions of a rectangular prism are shown below:

quester [9]

Answer:

84 cubes

28/9 ft³

Step-by-step explanation:

<u>Dimensions:</u>

L = 1 1/3 ft = 4/3 ft
W = 1 ft
H = 2 1/3 ft = 7/3 ft
Small cube has side of 1/3

<h3>Part A</h3>

<u>Volume formula: V= lwh</u>

V = 4/3*1*7/3 = 28/9 ft³

<u>Small cube has volume of:</u>

(1/3)³ = 1/27 ft³

<u>Number of small cubes:</u>

28/9 ÷ 1/27 = 28/9×27 = 28×3 = 84

<h3>Part B</h3>

28/9 ft³ unit cube
84 unit³ of 1/3 ft

4 0

4 years ago

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oksian1 [2.3K]

Answer:

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Step-by-step explanation:

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3 years ago

What expression is equivalent to 30 divided (3 + x)

kicyunya [14]

Answer:

the second one

Step-by-step explanation:

30/ (3+x)

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3 years ago

Mrs. Thompson spins the spinner below two times. Find the probability that the spinner will land on a 6 on the first spin and a

DiKsa [7]

What does the spinner look like?

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3 years ago

Solve the following exponential equations.<br> 2(4^x )+ 4^(x+1 )= 342

Cloud [144]

Answer:

x ≈ 2.91644500708

Step-by-step explanation:

The equation can be simplified to ...

2(4^x) +4(4^x) = 342

6(4^x) = 342

4^x = 57

Taking logarithms, we get ...

x = log₄(57) = log(57)/log(4)

x ≈ 2.91644500708

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3 years ago