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salantis [7]
2 years ago
5

‼️SOS lIn the diagram above, PQR and QST are straight lines. Find the value of x + y.

Mathematics
1 answer:
OleMash [197]2 years ago
5 0

\\ \sf\longmapsto x+144=180(Supplementary)

\\ \sf\longmapsto x=180-144

\\ \sf\longmapsto x=36

And

\\ \sf\longmapsto y+40=180

\\ \sf\longmapsto y=180-40

\\ \sf\longmapsto y=140

Now

\\ \sf\longmapsto x+y=140+36=176

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Right the slope intercept form for the line that travels through (4,-1) and is parallel to y=1/4x
ololo11 [35]

Answer:

Step-by-step explanation:

The slope is given to you by the line y = 1/4 x

The slope is just read as the number in front of x providing that the coefficient of y is 1. If that is not so, then you must divide by the coefficient in front of y. So far what you have is y = 1/4 x + b.

The second part of the question is to use the given point to find b.

x = 4

y = -1

b = ?                       substitute x and y to find b

y = 1/4 * 4 + b

- 1 = 1/4 * 4 + b

-1 = 1 + b

-2 = b

The equation of the line is y = 1/4 x - 2 Just to confirm this, I'm going to include the graph with the point 4,-1 on it.

4 0
2 years ago
Solve the given inequality. Describe the solution set using the set-builder or interval notation. Then, graph the solution set o
Korolek [52]

Answer:

B

Step-by-step explanation:

10(10m+6)<=12        

100m+60<=12       Distributive Property

100m     <=12-60

100m    <=-48

     m    <=-48/100

     m    <=-.48

This says values for m that are less than or equal to -.48

-.48 is between -1 and 0 so the answer is B

6 0
3 years ago
Read 2 more answers
Mathematics in the london eye answers
san4es73 [151]
CENTRAL ANGLE: 
<span>There are 32 passenger cars, so you want an angle equal to 1/32 of the full circle. 
</span>
<span>The full circle in degrees is 360°, but you want radians. </span>
<span>The full circle in radians is 2π. </span>
<span>2π / 32 </span>
<span>= π/16 radians 
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<span>ARC LENGTH </span>
<span>The arc length would be 1/32 of the full circumference. I know you already asked and got answers for the full circumference. Divide that by 32. 
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<span>AREA OF SECTOR: </span>
<span>Ditto on this. You have the full area from a prior question. Now just divide it by 32</span>
6 0
3 years ago
I need to find the value of X
nirvana33 [79]

Answer:

17.7

Step-by-step explanation:

This figure is a pentagon - a shape with 5 sides. In a pentagon, the figure's angles add to 540.

100 + 7x-4 + 3x + 23 + 9x - 6 + 90 = 540

190 +19x + 13 = 540

203 + 19x = 540

19x = 337

x = 17.7

3 0
3 years ago
In the diagram, r || s. Parallel lines r and s are crossed by transversal t to form 8 angles. Clockwise from the top left, the a
Softa [21]
24.8 sorry I couldn’t find this question sooner
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