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Goshia [24]
3 years ago
6

Determine the value of x in the diagram below

Mathematics
2 answers:
podryga [215]3 years ago
7 0

Answer:

x = 15

Step-by-step explanation:

The 2 angles are corresponding angles and they are always equal to each other.

5x + 55 = 2x + 100

Subtract 2x from each other;

3x + 55 = 100

Subtract 55 from both sides;

3x = 45

Divide both sides by 3;

x = 15

<em>Check:</em>

5x + 55

Substitute x;

5(15) + 55 = 75 + 55 = 130

2x + 100

Substitute x;

2(15) + 100 = 30 + 100 = 130

aivan3 [116]3 years ago
5 0

Answer:

x = 15

5x + 55 = 2x +100, plug in 15 and they are equal

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the density of a certain material is such that weighs 6900 grams for every 4.5 quarts of volume express this density in pounds p
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Answer:

d=101.4\ \text{pounds}/\text{feet}^3

Step-by-step explanation:

Given that,

Mass of material, m = 6900 grams

Volume of the material, V = 4.5 quarts

We need to find the density in pounds per cubic foot

We know that,

1 pound = 453.59 grams

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Also, 1 cubic foot = 29.92 quarts

4.5 quart = 0.15 feet³

Density = mass/volume

Or

d=\dfrac{15.21\ \text{pounds}}{0.15\ \text{feet}^3}\\\\d=101.4\ \text{pounds}/\text{feet}^3

Hence, the density of the material is 101.4\ \text{pounds}/\text{feet}^3

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3 years ago
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Given f (g (x)) = x + 4 and f (x) = 3x + 5, find g (x).​
JulijaS [17]

Answer:

g(x) = \frac{1}{3}(x - 1) = \frac{x}{3} - \frac{1}{3}

Step-by-step explanation:

f(x) = 3x + 5

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Step-by-step explanation:

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Point T is on line segment \overline{SU} SU . Given ST=12ST=12 and TU=3,TU=3, determine the length \overline{SU}. SU
vova2212 [387]

Answer:

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Step-by-step explanation:

Given that,

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