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Drupady [299]
3 years ago
9

Given that ΔABC ∼ΔDEF, m∠A = 108 degrees and m∠E = 40 degrees. Find m∠F. Type ONLY the number of degrees.

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
5 0

Answer:

∠F = 32°

Step-by-step explanation:

ΔABC & ΔDEF are similar triangles. So, corresponding angles of both triangles are congruent

∠D = ∠A = 108

∠B = ∠E = 40

∠C = ∠F

In ΔDEF,

∠D +∠E + ∠F = 180        {Angle sum property of triangle}

108 + 40 + ∠F = 180

        148 +∠F = 180

                ∠F = 180 - 148

               ∠F = 32°

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Galina-37 [17]
<span>Part A: Solve A = (x + 23) for x.

A = x + 23

=> A - 23 = x + 23 - 23

=> A - 23 = x

=> x = A - 23 <------- answer

Part B: Determine the value of x when A = 108

Replace the value of A in the expression x = A - 23

x = 108 - 23 = 75

x = 75 <------- answer

Part C: Solve -np - 90 > 30 for n.

-np - 90 > 30

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=> - 90 > 30 + np

=> -90 - 30 > 30 - 30 + np

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4 years ago
Is 1/5 a rational or irrational number (20 points pls help)
goblinko [34]

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rational

Step-by-step explanation:

7 0
3 years ago
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Lionel is planning a one-day outing.
pychu [463]

Answer:

Option B - y=5x+40 and  y=3x+60

Step-by-step explanation:

Given : The Thrill amusement park charges an entry fee of $40 and an additional $5 per ride, x. The Splash water park charges an entry fee of $60 and an additional $3 per ride, x.

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Let x be the number of rides and

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The Thrill amusement park charges an entry fee of $40 and an additional $5 per ride.

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The Splash water park charges an entry fee of $60 and an additional $3 per ride.

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6 0
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Answer:

1. C

2. D

Step-by-step explanation:

1.

Pattern A is adding by 2's (1 -> 3, 4 -> 6, 7 -> 9 and so on).

Pattern B is multiplying by 2's (2 -> 4, 3 -> 6, 4 -> 8 and so on).

2.

If 0.25 gallons of paint = 24 ft^2, then 1 gallon will equal?

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3 years ago
Select the correct answer.
Kay [80]

Answer:

D) 37.1\times 10^{-4} \ \textsf{kilograms}

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\implies 37.1\times 10^{-4}

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