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EleoNora [17]
3 years ago
9

Determine whether the triangles are similar? If not explain why.

Mathematics
1 answer:
amm18123 years ago
3 0
They are similar, though not congruent. They have some differences between angles.
(All this Web playing has paid off...)
BTW, Web is a Brainpop game about angles.
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Given: <SPT = <RQT, ST = RT Prove: PR = QS​
andrey2020 [161]

Answer:

See explanation

Step-by-step explanation:

Consider triangles PTS and QTR. In these triangles,

  • ST=RT - given;
  • \angle SPT=\angle RQT - given;
  • \angle STP=\angle RTQ - as vertical angles when lines PR and SQ intersect.

Thus, \triangle PTS\cong \triangle QTR by AAS postulate.

Congruent triangles have congruent corresponding sides, so

PT=QT

Consider segments PR and QS:

PR=PT+TR\ [\text{Segment addition postulate}]\\ \\QS=QT+TS\ [\text{Segment addition postulate}]\\ \\PT=QT\ [\text{Proven}]\\ \\ST=RT\ [\text{Given}]

So,

PR=SQ\ [\text{Substitution property}]

7 0
3 years ago
1,-4,-9,-14,-19 what’s the 5th term
wlad13 [49]

Answer:

-24

Step-by-step explanation:

goes by -5

6 0
3 years ago
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How do i multiply ?​
attashe74 [19]

Answer:

Do repeated addition

Step-by-step explanation:

For example 12 * 12 = 144 because 12+12+12+12+12+12+12+12+12+12+12+12=144

7 0
3 years ago
Use two points to enter an equation for the function. Give your answer in the form a(b)^n. In the event that a = 1, give your an
levacccp [35]

Answer:

m(n) = 24 (0.75)^n

Step-by-step explanation:

1) <u>The two points are</u>:

a) On the first swing she swings forward by 18 degrees: <em>(1, 18)</em>

b) On the second swing she only comes 13.5 degrees forward: <em>(2,13.5)</em>

2) <u>The general equation using the form given is</u>:

m(n)=A(B)^n

3) <u>Substitute the two points</u>:

18=A(B)\\ \\ 13.5=A(B)^2

4) <u>Divide the second equation by the first one</u>:

⇒ 13.5 / 18 = B

⇒ B = 0.75

5) <u>Substitue B = 0.75 into the first equation</u>:

18 = A (0.75) ⇒ A = 18 / 0.75 = 24

Hence, the equation is:

m(n) = 24 (0.75)^n

5 0
3 years ago
Sheila paid $8.68 for 7 flower<br> plants. How much did she pay for<br> each plant?
Olin [163]

Answer:

$1.24 per plant

Step-by-step explanation:

You just have to divide the total amount paid by the number of flowers.

8 0
2 years ago
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