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Andrei [34K]
3 years ago
11

In the diagram below, ΔPQR ≅ ΔSTR. Complete the statement ∠Q ≅ ___

Mathematics
1 answer:
Leni [432]3 years ago
3 0

Answer:  Choice A.  \angle T

Explanation:

Notice how letters Q and T are in the middle of the sequences of PQR and STR respectively. This means the angles correspond.

Because the triangles are congruent, this means the corresponding pieces are congruent. Therefore, angle Q and angle T are the same measure.

As you can see, the order matters when it comes to forming congruence statements. Something like \triangle PQR \cong \triangle STR is slightly different from \triangle PQR \cong \triangle SRT

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6 0
3 years ago
Power by 10 10 and theres a 4 above it
vitfil [10]

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multiply 100 by 100 then multiply that 4 times of the same number

3 0
3 years ago
Tìm kiếm x y z<br> x-1/y =1<br> y-1/z =1<br> z-1/x =1
const2013 [10]

<em>y</em> - 1/<em>z</em> = 1   ==>   <em>y</em> = 1 + 1/<em>z</em>

<em>z</em> - 1/<em>x</em> = 1   ==>   <em>z</em> = 1 + 1/<em>x</em>

==>   <em>y</em> = 1 + 1/(1 + 1/<em>x</em>) = 1 + <em>x</em>/(<em>x</em> + 1) = (2<em>x</em> + 1)/(<em>x</em> + 1)

<em>x</em> - 1/<em>y</em> = <em>x</em> - (<em>x</em> + 1)/(2<em>x</em> + 1) = (2<em>x</em> ² - 1)/(2<em>x</em> + 1) = 1

==>   2<em>x</em> ² - 1 = 2<em>x</em> + 1

==>   2<em>x</em> ² - 2<em>x</em> - 2 = 0

==>   <em>x</em> ² - <em>x</em> - 1 = 0

==>   <em>x</em> = (1 ± √5)/2

If you start solving for <em>z</em>, then for <em>x</em>, then for <em>y</em>, you would get the same equation as above (with <em>y</em> in place of <em>x</em>), and the same thing happens if you solve for <em>x</em>, then <em>y</em>, then <em>z</em>. So it turns out that <em>x</em> = <em>y</em> = <em>z</em>.

3 0
3 years ago
Which of the following would be an acceptable first step in simplifying the expression
krek1111 [17]

Answer: A

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7 0
2 years ago
What is 2 thirds of 24
evablogger [386]
2/3 of 24 is:
24 divided by 3= 8
8+8=16
answer is 16
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4 years ago
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