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arlik [135]
3 years ago
15

What are some similarities and differences between the Third Angle Theorem and the Triangle Angle-Sum Theorem?

Mathematics
1 answer:
Alborosie3 years ago
4 0

Answer:

The similarities are;

1) The Third Angle Theorem and the Triangle Angle-Sum Theorem are based on the sum of the angles in a triangle being equal to 180°

2) The Third Angle Theorem and the Triangle Angle-Sum Theorem are used to prove the measure of the third

3) The Third Angle Theorem and the Triangle Angle-Sum Theorem are triangle theorems

The differences are;

1) The Third Angle Theorem is mainly used to prove the similarity of two triangles, while Triangle Angle-Sum Theorem is used to find the measure of the third angle

2) The value of the third angle may not be determined when using the The Third Angle Theorem to prove the similarities between triangles while the value of the third angle is normally determined calculated when the Triangle Angle-Sum Theorem is used to find the third angle given the other two angles in the triangle

Step-by-step explanation:

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5 0
2 years ago
To make Diane's special punch it take 4 cups of juice for every 7 cups of Lime soda. How much juice will be needed if we have 21
stiks02 [169]

Answer:

Step-by-step explanation:

4 cups of J for every 7 cups of soda  4:7

21 cups of soda will take 12 cups of J

If you take the 7 and multiply by 3 you get the 21.

So you will need to multiply the 4 by the 3 to get the 12. You need to keep everything in proportion.

4:7   same as 12:21

4 0
3 years ago
5. Patricia is on the edge of the top of a mountain and notices that a kayak on the lake is 30 meters
zhuklara [117]

The distance from the kayak to the mountain to the nearest whole number is 43 meters.

The situation will form a right angle triangle as shown below in the diagram.

<h3>Properties of a right angle triangle:</h3>
  • One of its angle is 90 degrees.
  • The sides and angle can be found by using trigonometric ratios.

The height(opposite side) of the triangle is the kayak distance from the mountain to the lake below. The distance from the kayak to the mountain is the adjacent side of the triangle.

Therefore, using trigonometric ratios,

tan 35 = opposite / adjacent

tan 35° = 30 / a

a = 30 / tan 35°

a = 30 / 0.70020753821

a = 42.8444402023

a = 42.84 meters

a ≈ 43 meters

learn more on the angle of depression: brainly.com/question/13969247?referrer=searchResults

8 0
3 years ago
NEED AN ANSWER ASAP How are the terms in parentheses affected when multiplied by a negative coefficient when the distributive pr
Anna [14]

The Distributive Property is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.

The Distributive Property tells us that we can remove the parentheses if the term that the polynomial is being multiplied by is distributed to, or multiplied with each term inside the parentheses.

If a number outside the parentheses has a negative sign then the first and simplest way is to change each positive or negative sign of the terms that were inside the parentheses. Negative or minus signs become positive or plus signs. Similarly, positive or plus signs become negative or minus signs.

5 0
3 years ago
What is the nearest thousand to 700,000
emmasim [6.3K]
It would stay 700,000
3 0
3 years ago
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