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REY [17]
2 years ago
15

Find the value of y.

Mathematics
1 answer:
Elodia [21]2 years ago
8 0

Answer:

<h2><u><em>94°</em></u></h2>

Step-by-step explanation:

Find x

(180 - 36) : 2 =

72°

so angle 2x is 144°

sum of all interior angles = 720°

Find y

720 - 144 - 111 - 105 - 165 - 101 =

94°

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What is the Volume of the prism? ​
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2 years ago
Find the value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2
soldier1979 [14.2K]

The value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2 is -2

<u>Solution:</u>

Given that line is passing through point (-5, 2) and (3, r)

Slope of the line is \frac{-1}{2}

Need to determine value of r.

Slope of a line passing through point \left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right)  is given by following formula:

\text { Slope } m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}  --- eqn 1

\text { In our case } x_{1}=-5, y_{1}=2, x_{2}=3, y_{2}=\mathrm{r} \text { and } m=-\frac{1}{2}

On substituting the given value in (1) we get

\begin{array}{l}{-\frac{1}{2}=\frac{r-2}{3-(-5)}} \\\\ {\text { Solving the above expression to get value of } r} \\\\ {=>-\frac{1}{2}=\frac{r-2}{3+5}} \\\\ {=>-8=\frac{r-2}{3+5}} \\\\ {=>-8=2(r-2)} \\\\ {=>-8=2 r-4} \\\\ {=>2 r=-8+4} \\\\ {=>2 r=-4} \\\\ {=>r=\frac{-4}{2}=-2}\end{array}

Hence the value of "r" is -2

8 0
3 years ago
TWO points A and B on a plan represent two localities 12 m apart. Given that the segment AB is 6 cm long, find the scale used to
dezoksy [38]

Answer:

The scale used to draw the plan is 1: 200.

Step-by-step explanation:

Given that two points A and B on a plan represent two localities 12 m apart, to determine, given that the segment AB is 6 cm long, the scale used to draw the plan, the following calculation must be performed:

12 m = 12 cm x 100 = 1200 cm

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Therefore, the scale used to draw the plan is 1: 200.

5 0
2 years ago
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