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Yuri [45]
2 years ago
9

Find the value of x if ∡A and ∡B are supplementary angles.

Mathematics
1 answer:
Elanso [62]2 years ago
3 0

Answer:

x = 30.5

Step-by-step explanation:

Two angles are supplementary when they add up to 180°.

So we know that:

C + D = 180

Supplanting we get:

(3x-44) + (5x-20) = 180

We add up the X's.

8x-44-20 = 180

8x-64 = 180

Then we send 64 to the other side adding:

8x = 180+64

8x = 180+64

8x = 244

And then the 8 goes dividing:

x = 244 : 8

x = 30.5

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A student says that a correlation coefficient of −0.93 indicates that the two quantities of a data set have a weak correlation.
zloy xaker [14]

Answer:

Step-by-step explanation:

Recall that correlation coefficients range from -1 to +1.  So, -0.93 is a strong negative relationship.  Two interpretations:  1) the correlation is actually very strong, and 2) the correlation is negative.  When the correlation is negative, the dependent variable DECREASES when the independent variable INCREASES.

8 0
2 years ago
What is the slope of the line that passes through the points (-4, 0) and (-4, -10)? Write your answer in simplest form.
Tresset [83]

Answer:

<h2>         There is no slope.</h2>

Step-by-step explanation:

slope=\dfrac{y_2-y_1}{x_2-x_1}

It means that for a line passing through two points to have the slope, the x-coordinates of these point have to be different.

(-4, 0) and (-4, -10) means x₁ = x₂ = -4, <u>so there is no slope.</u>

{the line is parallel to Y-axis, and has an equation:  x=-4}

4 0
3 years ago
Find the area of the region shaded in green. Use 3.14 to approximate pi.
8090 [49]

Answer:

254 cm² (to 3 s.f.)

Step-by-step explanation:

Area of shaded region

= area of large circle -area of smaller circle

\boxed{area \: of \: circle = \pi {r}^{2} }

Radius of large circle= 15cm

Radius of smaller circle= 12cm

Area of shaded region

= π(15²) -π(12²)

= 225π -144π

= 81π

= 81(3.14)

= 254.34

= 254 cm² (3 s.f.)

3 0
2 years ago
Which best shows one 1 half 3
SOVA2 [1]
The answer to that would be B
4 0
3 years ago
Read 2 more answers
A. - 8/5<br><br>B. 5/8<br><br>C. - 5/8 <br><br>D. 8/5​
IrinaK [193]

Answer:

5/8

Step-by-step explanation:

To find the slope, use the formula

m = (y2-y1)/(x2-x1)

   = (2 - -3)/(6 - -2)

   = (2+3)/(6+2)

   = 5/8

5 0
3 years ago
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