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3 years ago

What is the value of x?

Mathematics

1 answer:

Yuliya22 [10]3 years ago

4 0

Answer:

Step-by-step explanation:

∠QRT and ∠SRT are supplementary angles,

therefore m∠QRT + m∠SRT = 180°.

(45x)° + m∠SRT = 180° <em>subtract (45x)° from both sides</em>

m∠SRT = 180° - (45x)°

We know: the sum of the measures of the angles of the triangle is equal to 180 °. Therefore we have the equation:

(180 - 45x) + (57 + x) + 25x = 180 <em>combine like terms</em>

(-45x + x + 25x) + (180 + 57) = 180

-19x + 237 = 180 <em>subtract 237 from both sides</em>

-19x = -57 <em>divide both sides by (-19)</em>

x = 3

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A line parallel to the line 3x+4y+8=0 with y-intercept 4

Vitek1552 [10]

3x + 4y + 8 = 0
4y = -3x - 8
y = -3/4x - 2....slope here is -3/4. A parallel line will have the same slope.

y = mx + b
slope(m) = -3/4
y int (b) = 4

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3 years ago

Read 2 more answers

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allochka39001 [22]

If you use a proportion, you'll get:

$\frac{0.25}{12} = \frac{x}{8}$

Then, you use cross products:

$12x=0.25(8) \\ 12x=2$

Then, you algebraically solve x:

$12x=2 \\ \frac{12x}{12} = \frac{2}{12} \\ x= \frac{5}{3}$

The answer is 5/3 inches , or 1 5/13 inches, or 1.6 repeating.

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3 years ago

The point A(0,3) and point B(4,19) lie on the line L.<br> Find the equation of line L

IRISSAK [1]

Answer: The equation is y = 4x+3

Slope = 4

y intercept = 3

========================================================

Explanation:

Let's start off by finding the slope.

$A = (x_1,y_1) = (0,3) \text{ and } B = (x_2,y_2) = (4,19)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{19 - 3}{4 - 0}\\\\m = \frac{16}{4}\\\\m = 4\\\\$

The slope is 4.

The y intercept is 3 because of the point (0,3)

We go from y = mx+b to y = 4x+3

m = slope

b = y intercept

---------------

Check:

Plug in x = 0 and we should get to y = 3

y = 4x+3

y = 4(0)+3

y = 0+3

y = 3

That works out. Now try x = 4. It should lead to y = 19

y = 4x+3

y = 4(4)+3

y = 16+3

y = 19

The answer is confirmed.

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2 years ago

2 members of the 5-member math study group will present their project to the class. How many combinations of 2 members are possi

klio [65]

Answer:

Step-by-step explanation:

(,)=?

(,)=(5,2)

=5!(2!(5−2)!)

=5!2!×3!

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3 years ago

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