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Liono4ka [1.6K]
3 years ago
7

2 Points

Mathematics
1 answer:
lidiya [134]3 years ago
4 0

"An angle that forms a linear pair with one of the interior angle the triangle" is the best definition of an exterior angle of a triangle.

<u>Option: C</u>

<u>Explanation:</u>

When to the sum of the inward angles opposite outer angle of a triangle the sum of the inward angles opposite is equivalent thus understood as exterior angle of a triangle.

The Triangle outer angle theorem for more about is if at each vertex the equivalent angle is drawn, the outer angles always add up to 360°. In reality, this is valid for any convex polygon, not just triangles.

In the most easiest pattern , since any angle of triangle equivalent is 60′, the outer angle would be 120′. Therefore all exterior angles sum is:

                     120 + 120 + 120 = 360°.

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RoseWind [281]
A.
If:
j - the price of a glass of juice
p - the price of a pancake special
Then:
3j + 5p = 7.60
j + 2p = 2.90

b.
If:
j + 2p = 2.90
Then:
j = 2.90 - 2p
We can substite j in the first equation.
<span>If:
3j + 5p = 7.60
</span><span>j = 2.90 - 2p
</span>Then: 
3×(2.90-2p) + 5p = 7.60
8.70 - 6p + 5p = 7.60
8.70 - p = 7.60
⇒ p = 8.70 - 7.60
⇒ p = 1.10

If:
<span>j = 2.90 - 2p
</span><span>p = 1.10
</span>Then:
j = 2.90 - 2×1.10
j = 2.90 - 2.20
j = 0.70

Thus, the price of a glass of juice is $0.70 and <span>the price of a pancake special is $1.10.

c.
If:
p = 1.10
j = 0.70
Then: 
j + p = 1.10 + 0.70 = 1.80

Thus, </span><span>the bill for 1 glass of orange juice and 1 pancake special is $1.80.</span>
6 0
2 years ago
The volume of the prism is 234 cubic units. What is the height of the prism? 3 units 4 units 6 units 8 units
mojhsa [17]

Answer:

8

Step-by-step explanation:

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Answer:

{x}^{2}  + 17x + 3

Step-by-step explanation:

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Find the 11th term of the geometric sequence 7, 35, 175,
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Answer:

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Need some help please!!​
ella [17]

Answer:

The other point on the diameter which is also on the circle is; (-3, 2)

Step-by-step explanation:

The center of the circle, also a point where the diameter crosses, is (3, 6)

The diameter touches the circle at point (9, 10)

The displacement is (9 - 3, 10 - 6) = (6, 4)

This means that we move, +6 units along the x-axis and +4 units along the y-axis , from the center of the circle in order to reach point (9, 10)

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