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Ivanshal [37]
3 years ago
14

Find the value of x. A. 70 B. 30 C. 65 D. 40

Mathematics
1 answer:
AleksandrR [38]3 years ago
8 0

Answer:

Option (A)

Step-by-step explanation:

From the figure attached,

By applying triangle sum theorem in ΔBCP,

m∠CBP + m∠CPB + m∠BCP = 180°

15° + 20° + m∠BCP = 180°

m∠BCP = 145°

m∠ACB + m∠BCP = 180° [Linear pair of angles are supplementary]

m∠ACB + 145° = 180°

m∠ACB = 35°

Since, ∠ACB is the inscribed angle and AB is the intercepted arc.

Therefore, m(arc AB) = 2m(∠ACB)

m(arc AB) = 2 × 35°

                 = 70°

Therefore, Option (A) is the correct option.

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sam cut a pie into equal slices.There are only three slices left.The angle measure for the three slices is 72 degrees.how many s
mars1129 [50]

Answer:

Sam sliced the pie into 15 equal slices

Step-by-step explanation:

Given : Sam cut a pie into equal slices.There are only three slices left.The angle measure for the three slices is 72 degrees.

We have to determine the number of slices that the Sam cuts.

Sam cuts a pie and pie is in shape of circle therefore total angle measure is 360°.

Since, Given the angle measure for the three slices is 72 degrees.

So, The angle measure for the one slices is \frac{72}{3}=24 degrees.

Since, Pie is cut into equal slices.

So, measure of each slice must be equal.

So let he cut x slices of pie of 24°

So , total measure of x slices must be equal to 360°

24 · x = 360

x = 15

Thus, Sam sliced the pie into 15 equal slices

7 0
3 years ago
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Arianna cycles for 3 hours at a speed of 40 mph. what distance did she travel
Phantasy [73]

40 × 3 = 120 miles

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16 POINTS
Marta_Voda [28]
Solve the following system using elimination:
{7 x + 2 y = -19 | (equation 1)
{2 y - x = 21 | (equation 2)

Add 1/7 × (equation 1) to equation 2:
{7 x + 2 y = -19 | (equation 1)
{0 x+(16 y)/7 = 128/7 | (equation 2)

Multiply equation 2 by 7/16:
{7 x + 2 y = -19 | (equation 1)
{0 x+y = 8 | (equation 2)

Subtract 2 × (equation 2) from equation 1:
{7 x+0 y = -35 | (equation 1)
{0 x+y = 8 | (equation 2)

Divide equation 1 by 7:
{x+0 y = -5 | (equation 1)
{0 x+y = 8 | (equation 2)

Collect results:
Answer: {x = -5, y = 8
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HELP!!! 50 POINTS!!!!<br><br> a transformation is a _____ to the _____ or _____ of a figure
Temka [501]

Answer:

a transformation is a <u>rotation</u><u> </u><u>or</u><u> </u><u>reflection </u> to the <u>posit</u><u>ion</u> or co-ordinates of a figure

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3 years ago
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lawyer [7]
At the beining, he has 76
that is at x=0
y=mx+76

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the equatin is

y=12x+76
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4 years ago
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