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4 years ago

The lines intersect at point C. What is the value of x?

Mathematics

2 answers:

Lisa [10]4 years ago

6 0

ANSWER

$x = 21 \degree$

EXPLANATION

The two given angles are
$(4x - 4) \degree$

and

$(3x + 17) \degree$

These two angles are vertically opposite to each other.

Recall that vertically opposite angles are equal.

We therefore write the equation below and use it to find x.

This implies that,

$(4x - 4) \degree = (3x + 17) \degree$

We group like terms to get,

$4x - 3x = 17 + 4$

This implies that
$x = 21 \degree$

Therefore the correct answer is D.

Agata [3.3K]4 years ago

5 0

Answer:

The correct answer option is 21.

Step-by-step explanation:

We know that the given lines PW and AD intersect at the point C.

Therefore, the two given angles are equal to each other and we can write them in the form of an equation as:

(4x - 4)° = (3x + 17)°

Solving for x to get:

4x - 4 = 3x + 17

4x - 3x = 4 + 17

x = 21

Therefore, the value of x is equal to 21.

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Using the order of operations, what should be done first when evaluating this expression?

Nastasia [14]

Answer:

$-\frac{16}{17}\\-0.94117$

Step-by-step explanation:

$\frac{-\frac{1}{2}}{\frac{2\left(9+3\right)-4-3}{4\left(8\right)}}\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\frac{-\frac{1}{2}}{\frac{2\left(9+3\right)-4-3}{4\cdot \:8}}\\\frac{2\left(9+3\right)-4-3}{4\cdot \:8}=\frac{17}{32}\\\frac{2\left(9+3\right)-4-3}{4\cdot \:8}\\2\left(9+3\right)-4-3=17\\2\left(9+3\right)-4-3\\2\left(9+3\right)=24\\2\left(9+3\right)\\\mathrm{Add\:the\:numbers:}\:9+3=12\\=2\cdot \:12\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:12=24\\=24-4-3$

$\mathrm{Subtract\:the\:numbers:}\:24-4-3=17\\=\frac{17}{4\cdot \:8}\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:8=32\\=\frac{17}{32}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}\\=-\frac{\frac{1}{2}}{\frac{17}{32}}\\\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}\\=-\frac{1\cdot \:32}{2\cdot \:17}\\Refine\\=-\frac{32}{2\cdot \:17}\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:17=34\\=-\frac{32}{34}$

$\mathrm{Cancel\:the\:common\:factor:}\:2\\=-\frac{16}{17}\\\mathrm{Decimal:\quad }\:-0.94117$

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3 years ago

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pentagon [3]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What is the value of X? -5x-5y=25 3x+5y=-21

enyata [817]

Answer:

x = -2

Step-by-step explanation:

Solution:

-5x - 5y = 25 -(1)

3x + 5y = -21 -(2)

Adding (1) and (2),

-5x - 5y + 3x + 5y = 25 - 21

-5x + 3x -5y + 5y = 4

-2x = 4

x = 4 / -2

Therefore, x = -2

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3 years ago

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