1) Quadrilateral PAST, TX=AX,
(given)
2)
and
(alternate interior angles theorem)
3)
(AAS)
4)
(CPCTC)
5) PAST is a parallelogram (a quadrilateral with two pairs of opposite congruent sides is a parallelogram)
He will do both in 12 days since the least common multiple of 3 and 4 is 12. This can be found by making a list of both numbers' multiples. You will see that the first common number or multiple is 12.
Multiples of 3: 3, 6, 9, 12, 15
Multiples of 4: 4, 8, 12, 16, 20
Hope this helped
Using similar triangles, the proportionality ratio of △QRS to △KJI is of 1/3.
<h3>What are similar triangles?</h3>
Similar triangles are triangles that have the same angles, and whose side lengths are proportional.
For this problem, we have that:
- The sides that have length of 2 on △QRS have lengths of 6 on △KJI.
- The side that has a length of 1 on △QRS has length of 3 on △KJI.
Hence the proportionality ratio of △QRS to △KJI is given as follows:
2/6 = 1/3.
More can be learned about similar triangles at brainly.com/question/305520
#SPJ1
D is the correct answer to your question
Answer:
<h2>x = 145°, y = 35°</h2>
Step-by-step explanation:
<em><u>Given</u></em><em><u>, </u></em>
m || n
<em><u>So</u></em><em><u>,</u></em>
35° = y° <em>[</em><em>Alternate</em><em> </em><em>interior</em><em> </em><em>angles</em><em>]</em>
<em>And</em><em>,</em>
y° + x° = 180° <em>[</em><em>Since</em><em> </em><em>linear</em><em> </em><em>pair</em><em>]</em>
=> x + 35 = 180
=> x = 180 - 35
=> x = 145°
<em><u>Hence</u></em><em><u>, </u></em>
<em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>145</u></em><em><u>°</u></em><em><u>,</u></em><em><u> </u></em><em><u>y</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>35</u></em><em><u>°</u></em>