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nordsb [41]
3 years ago
5

Question 5

Mathematics
1 answer:
navik [9.2K]3 years ago
7 0

Answer:

A. Similar using SAS; ∆ABC ~ ∆DFE

Step-by-step explanation:

m<B of ∆ABC = m<F of ∆DFE

AB corresponds to DF

AB/DF = 12/8 = 3/2

BC corresponds to FE

BC/FE = 24/16 = 3/2

Thus, the ratio of the corresponding sides of both triangles are the same. Therefore, both triangles has two sides that are proportional to each other, and also had an included corresponding angles that are congruent to each other.

By the SAS criterion, we can conclude that both triangles are similar to each other. That is, ∆ABC ~ ∆DFE

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Alexxandr [17]
18) (10)7d/10=35(10)
7d/7=350/7
d=50
21) 3/4 w=27
(4/3)3/4 w=27(4/3)
w=36
Hope this helps!
5 0
3 years ago
Find the volume of a cylinder with a diameter of 10 inches and a height that is three times the radius. Use 3.14 for pi and roun
notka56 [123]

Answer:

1,177.5

Step-by-step explanation:

I have not done this is a while but the formula is v = 3.14 r^2 h

so 3.14 x 5^2 x 15

then 3.14 x 25 x 15

lastly multiply it all to get 1,177.5

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3 0
3 years ago
Given: circle k(O) m∠R = (12x+1)mFP = (11x+7) mPQ= 60Find: mFP
zhannawk [14.2K]

Answer:

62°

Step-by-step explanation:

The angle R inscribes the arc FQ, so using the property of inscribed angles in a circle, we have that:

m∠R = mFQ / 2

The arc FQ is the sum of the arcs FP and PQ, so we have:

mFQ = mFP + mPQ = 11x + 7 + 60 = 11x + 67

Now, with the first equation, we have:

12x + 1 = (11x + 67) / 2

24x + 2 = 11x + 67

13x = 65

x = 5°

So we have that mFP = 11x + 7 = 55 + 7 = 62°

5 0
3 years ago
What is the quotient?PLSSS HELP ASAP!!!
4vir4ik [10]

Answer:

\frac{1}{5^{9} }

Step-by-step explanation:

Hi there,

The correct quotient is first answer choice.

Cheers.

3 0
3 years ago
(01.04 MC)Simplify the following expression: (−1)(−7)(4)
-BARSIC- [3]

Answer:

-4

Step-by-step explanation:

(-7)(-1) = -8

-8+4 = -4

4 0
3 years ago
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