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Contact [7]
2 years ago
14

Based only on the information given in the diagram, it is guaranteed that JKL ~ WXY.

Mathematics
2 answers:
Alika [10]2 years ago
6 0

Answer:

Option A True

Step-by-step explanation:

we know that

The sum of the internal angles of  the triangle is equal to 180\°

<u>In the triangle JKL</u>

m∠L=180\°-90\°-27\°=63\°

so

The measurements of the angles of triangle JKL are 27\°-90\°-63\°

<u>In the triangle WXY</u>

m∠W=180\°-90\°-63\°=27\°

so

The measurements of the angles of triangle WXY are 27\°-90\°-63\°

therefore

Triangle JKL and triangle WXY are similar by AAA ( The AAA postulate states that if you can prove that all three angles of two triangles are congruent, you can prove the two triangles are similar)

antoniya [11.8K]2 years ago
4 0
It is an absolutely true statement that based <span>only on the information given in the diagram, it is guaranteed that JKL ~ WXY. The correct option among the two options that are given in the question is the first option or option "A". I hope that this is the answer that has actually come to your desired help.</span>
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Item 6 sq−→sq→ bisects ∠rst∠rst, sp−→sp→ bisects ∠rsq∠rsq, and sv−→sv→ bisects ∠rsp∠rsp. the measure of ∠vsp∠vsp is 17°17°. find
Stolb23 [73]
<span>Angle TSQ measures 68 degrees. When a ray bisects an angle, it divides it into two equal parts. Each part is one-half the measurement of the original angle. Several rays are described as bisecting different angles. I would sketch a diagram to keep track of all the different rays and angles.
       
A. Since angle RST is bisected by ray SQ, angle RSQ and angle QST are each half the size of angle RST.
       
B. Since angle RSQ is bisected by ray SP, angle RSP and angle PSQ are each half the size of angle RSQ.
       
C. Since angle RSP is bisected by ray SV, angle RSV and angle VSP are each half the size of angle RSP. We are given the measurement of angle VSP as 17 degrees. To find the measure of angle RSP, we notice in statement C above that VSP is half the size of angle RSP. If we double angle VSP's measurement (multiply by 2), we get angle RSP measures 34 degrees. Using similar logic and statement B above, we double RSP's measurement of 34 to get angle RSQ's measurement. Double 34 is 68, angle RSQ's measurement in degrees. From statement A above, we notice that RSQ's measurement is equal to that of angle QST's. Therefore, angle QST also measures 68 degrees. However, the question asks us to find the measurement of angle TSQ. However, angle QST and angle TSQ are the same. Either description can be used. Therefore, the measurement of angle TSQ is 68 degrees.</span>
3 0
3 years ago
If the points (–2, –1), (–1, 0), (2, 3), and (–3, –2) are joined to form a straight line, at what point does the line intersect
Snowcat [4.5K]

Answer:

0

Step-by-step explanation:

Pick 2 points and use the slope formula

(–1, 0), (2, 3)

Slope =(y2−y1)/(x2−x1)

              (3−0)(2−−1)

                   3/3

                     1

y=1x

Hope this helps! Plz award Brainliest : )

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2 years ago
Find all numbers whose absolute value is 3 . If there is more than one, separate them with commas. If there are no such numbers,
adelina 88 [10]

Answer:

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Step-by-step explanation:

Because absolute value is the distance away from zero, |3| and |-3| would both be 3 units away from 0. Be sure to have the negative on the inside if you're trying to make something positive, otherwise -|3| means that the absolute value of 3 would then become negative since the negative sign isn't a part of the absolute. hope this helps!

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