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Bad White [126]
3 years ago
5

Write in the measure, in degrees, for each angle marked with a question mark.​

Mathematics
1 answer:
garik1379 [7]3 years ago
3 0

1. 180-146=34°

2. 40° (alternate angles are equal)

3. 50° (vertically opposite angles are equal)

4. 180-75=105° (co-interior angles add up to 180°)

5. 90-65=25°

Hope my answer helped u :)

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Raphael is timing how fast he can do a series of 5
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Answer:

Time left for each question is less than 5.5 minutes

Step-by-step explanation:

Given that:

Raphael is trying to solve 5 math questions in less than 20 minutes.

3 questions have been completed which have taken 3 minutes each.

To find:

How much time is left with Raphael for each question so as to reach his goal.

Solution:

First of all, let us find the time that has been already consumed by Raphael in solving the 3 questions.

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Time left = Total Time - Time already consumed

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​For the two right triangles above, explain why a/8=x/12 . ​ ​What ​trigonometric ratio is also equal to the two given ratios?
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Answer:

sin trigonometry ratio

Step-by-step explanation:

Given

See attachment for triangles

Required

Explain why \frac{a}{8} = \frac{x}{12}

From the attached diagram, both triangles are similar triangles because

(1) the second triangle is a dilation of the first triangle by a ratio of 1.5

i.e

k = \frac{12}{8}

k = 1.5

(2) They have angle 30 degrees, and have their right angles located at the same point

In the first triangle, the sine of 30 degrees is represented as:

sin(30) = \frac{Opp}{Hyp}

This gives:

sin(30) = \frac{a}{8}

In the second triangle:

sin(30) = \frac{Opp}{Hyp}

So:

sin(30) = \frac{x}{12}

By comparison:

sin(30) = sin(3)

Hence:

\frac{a}{8} = \frac{x}{12}

8 0
3 years ago
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