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Viktor [21]
3 years ago
8

In the figure below, m ROP = 125°.

Mathematics
1 answer:
marissa [1.9K]3 years ago
3 0
The figure given above shows us a circle with a couple of lines intersecting certain points on it. So if we divide the circle into two, then we have a semi circle with an angle of 180° on its vertical side. Since ∠ROP = 125°, then subtract 180° to 125° and you will get ∠POS = 55°. ∠POS is also equal to ∠QOR. And ∠ROP = ∠QOS.
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Find the equation of the line between the points (10, – 5) and ( - 2,0).
Natali5045456 [20]

Answer <u>(assuming it can be in slope-intercept form)</u>:

y = -\frac{5}{12} x-\frac{5}{6}  

Step-by-step explanation:

1) First, find the slope of the line between the two points by using the slope formula, m  = \frac{y_2-y_1}{x_2-x_1}. Substitute the x and y values of the given points into the formula and solve:

m = \frac{(0)-(-5)}{(-2)-(10)} \\m = \frac{0+5}{-2-10} \\m=\frac{5}{-12}

Thus, the slope of the line is -\frac{5}{12}.

2) Next, use the point-slope formula y-y_1 = m (x-x_1) to write the equation of the line in point-slope form. Substitute values for m, x_1, and y_1 in the formula.

Since m represents the slope, substitute -\frac{5}{12} in its place. Since x_1 and y_1 represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, it will equal the same thing) and substitute its x and y values into the formula as well. (I chose (-2,0), as seen below.) Then, isolate y and expand the right side in the resulting equation to find the equation of the line in slope-intercept form:

y-(0)=-\frac{5}{12} (x-(-2))\\y-0 = -\frac{5}{12} (x+2)\\y = -\frac{5}{12} x-\frac{5}{6}

3 0
2 years ago
Which equation represents the function shown in the input-output table?
stepladder [879]

Answer:

Equation B

Step-by-step explanation:

Equation B because:

it is 7x + 3

so for the first one, it's 7 + 3

the second one is 14 + 3

the third one is 21 + 3

the fourth one is 28 + 3

Please Mark Brainliest

4 0
2 years ago
The following figure is a regular hexagon. What is the value of w?<br><br> ILL GIVE BRAINLIEST!!!!
earnstyle [38]
The sum of the interior angle of a polygon is 720°, thus the value of w will be obtain as follows:
size of each angle is
720/6=120°
thus
8w=120
solving for w we get'
(8w)/8=120/8
w=15°
Answer: w=15°


6 0
2 years ago
PLEASSEE HELPPPP HURRRY FIND THE SURFACE AREA HURRRYY
Aleksandr [31]

Answer:

The answer is 48.9 cm^2.

Step-by-step explanation:

Let's find the surface areas of the faces other than the base;

triangle area: b x h / 2

4 x 7 = 28, 28/2 = 14

in this case, there are three faces, so 14 x 3 = 42, and we add that with the base to get 48.9

:) hope this helps!

8 0
2 years ago
Read 2 more answers
Please help
nalin [4]

Answer:

12870ways

Step-by-step explanation:

Combination has to do with selection

Total members in a tennis club = 15

number of men = 8

number of women = 7

Number of team consisting of women will be expressed as 15C7

15C7 = 15!/(15-7)!7!

15C7 = 15!/8!7!

15C7 = 15*14*13*12*11*10*9*8!/8!7!

15C7 = 15*14*13*12*11*10*9/7 * 6 * 5 * 4 * 3 * 2

15C7  = 15*14*13*12*11/56

15C7 = 6,435 ways

Number of team consisting of men will be expressed as 15C8

15C8 = 15!/8!7!

15C8 = 15*14*13*12*11*10*9*8!/8!7!

15C8 = 15*14*13*12*11*10*9/7 * 6 * 5 * 4 * 3 * 2

15C8 = 6,435 ways

Adding both

Total ways = 6,435 ways + 6,435 ways

Total ways = 12870ways

Hence the required number of ways is 12870ways

4 0
2 years ago
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