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Nady [450]
3 years ago
14

State if the triangles are similar. If so, how do you know they are similar and complete the similarity statement. Triangle LKJ≈

____

Mathematics
1 answer:
Llana [10]3 years ago
4 0

Answer: C) similar, SAS similarity, triangle LQR

==============================================

Explanation:

The vertical angles KLJ and QLR are congruent. This forms the "A" in "SAS". The angles in question are between the marked sides.

KL = 18 is twice that of QL = 9, or put another way, KL/QL = 18/9 = 2. The ratio of the sides is 2. Also, JL/RL = 16/8 = 2 is the same ratio. Because both pairs of sides have the same ratio, the sides are in proportion. This helps form the two "S" letters of "SAS".

The original triangle has LKJ mentioned at the top. Note the order as its important. We start with L and move to K, so LK is the first segment mentioned. LK = 18 pairs up with LQ = 9, meaning that LQ must be the first segment mentioned of the answer triangle. Therefore LQR is the correct letter sequence if we start with point L. Writing QLR is not correct because Q is the first letter here but Q does not pair up with L.

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Answer: Prime Factors for 18: 2, 3, and 3

Prime Factors for 19: 19

Prime Factors for 20: 2, 2, and 5

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Step-by-step explanation:

6 0
3 years ago
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hodyreva [135]

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3 0
3 years ago
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All island taxi charges an initial fee of $5 plus $2 per mile driven. Lyft charges a flat rate $25 for any distance. After how m
vladimir2022 [97]

Answer:

10 miles.

Step-by-step explanation:

The island taxi charges $5 for initial fee and $2 per mile.

For the island taxi to be $25 it would have to drive for 10 miles. (25-5=20) due to the initial fee puts you at 20. 20÷2 is 10. Meaning 10 miles for the island taxi.

Since the lyft charges a flat rate of $25 for any distance the only distance that matters is the island taxi.

Your answer is 10 miles.

6 0
3 years ago
In each part (a)-(d) below, some additional assumptions about the
Viktor [21]

In the triangle, the fact that wee are given 2AX = 3XD isn't enough to prove similarity.

<h3>How to explain the triangle?</h3>

a. In the question, we are given 2AX = 3XD. An arbitrary triangle AXB can be drawn where one extends AX and choose a point D on the extended line in order for 2AX = 3XD. Also, extend BX and choose a point C on the line so that 2BX = XC. Even though they both satisfy the condition, they're not similar.

b. We are given that AX/BX = DX/CX. When this is rearranged, we'll have AX/DX = BX/CX. In this case, let AX/DX = k. DX and AX will align upon rotation of 180°. The triangle can then be dilated by a factor of k. This brings about the mapping of triangle DXC to AXB. Therefore, the original triangle DXC is similar to AXB.

c. Lines AB and CD are parallel. Here, the dilation moves line CD onto line AB. Here, since the dilation moves D to a point on ray XA, D must move to A. Therefore, the rotation of triangle DXC is similar to AXB. Therefore, DXC is similar to AXB.

d. Here, angle XAB is congruent to angle XCD. This shows similarity and in this case, XCD is similar to XAB.

Learn more about triangles on:

brainly.com/question/28021872

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4 0
2 years ago
What number am I? If you divide me by 8, the quotient is 3.
bonufazy [111]

<u>Answer:</u>

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<u>Step-by-step explanation:</u>

Let the number we are looking for = x.

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x ÷ 8 = 3

• Multiply both sides by 8:
x = 8 x 3

x = 24

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2 years ago
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