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rosijanka [135]
3 years ago
14

On a piece of paper use a protractor to construct a triangle with angle measures of 40 and 60 what is the measure of the third a

ngle?
Mathematics
1 answer:
Lina20 [59]3 years ago
7 0

Answer:

80°

Step-by-step explanation:

<u>The angles of a triangle must add up to 180°.</u>

40° + 60° + missing angle = 180°

100° + missing angle = 180°

<em>subtract 100° from both sides</em>

missing angle = 80°

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Circle A has center of (2, 8), and a radius of 2 and circle B has a center of (5, 4), and a radius of 10. What steps will help s
SVETLANKA909090 [29]

Answer:

D.Dilate circle A by a scale factor of 5.

Step-by-step explanation:

We are given that

The center of circle A is (2,8) and radius of circle A is 2.

The center of circle B is (5,4) and radius of circle B is 10.

We have to find the steps will help to show that circle A is similar to circle B.

When two circles are similar it means the size of circles can be same or different.Therefore, radius of circles will be same or  different.

But, the radius of circles are different.

Dilation: It is a transformation in which obtained figure is similar to the original figure.

Shape remains same but the size of figures are different.

Ratio of corresponding sides of  two figures=Scale factor

When a circle is dilated then,

Ratio of  radius of circle obtained after dilation to the radius of original circle= Scale factor

Scale factor=\frac{10}{2}=5

Hence, option D is true.

4 0
4 years ago
A simple model to describe the curve of a baseball assumes the spin of the ball produces a constant sideways acceleration (in th
sammy [17]

Answer:

S_y, plate = -0.5325 ft (further away from batter)

Step-by-step explanation:

Given:

V_0 = < 130 , 0 , -3 > ft / s

a = < 0 , 32 , 8 > ft / s^2

S_plate = < 60 , z , 0 > ft

S_0 = < 0 , 6 , 0 > ft

The time taken t by the ball to reach home plate:

S_x, plate = S_o,x + V_o,x * t

60 = 0  + 130*t

t = 60 / 130

t = 0.4615 s

The distance traveled by the ball in y-direction when it reaches home plate at t = 6 / 13 s:

S_y, plate = S_o,y + V_o,y * t + 0.5*a_y*t^2

S_y, plate = 0 -3*(0.4615) + 0.5 * 8 * (0.4615)^2

S_y, plate = -0.5325 ft

8 0
3 years ago
You have two ways to drive home from school: Route A is usually quicker; Route B is
Brilliant_brown [7]

Answer:

0.12 = 12%

Step-by-step explanation:

To find this probability, we need to multiply the probability of getting route B, and the probability of getting home by 4 P.M if we choose route B.

If the probability of choosing route A is 60%, we have that the probability of choosing route B is 100% - 60% = 40%

Then, we have that the probability of getting home by 4 P.M. when choosing route B is 30%, so the final probability is:

P = 40% * 30% = 0.4 * 0.3 = 0.12 = 12%

4 0
3 years ago
Write an equivalent expression for- <br> 3 (4+2)
aliya0001 [1]
Just simplify it :18
7 0
3 years ago
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Allison has three containers with 25 crayons in each. She also has four boxes of markers with 12 markers in each box. She gets 1
Advocard [28]

25x3=75
4x12=48
48-10=38

75 crayons and 38 markers
3 0
3 years ago
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