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drek231 [11]
3 years ago
10

Sure face of a prism

Mathematics
1 answer:
vladimir2022 [97]3 years ago
5 0

Answer:

Step-by-step explanation:

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Given the information in the diagram below, find the measure of angle N. Use RACE and complete sentences to show how you found t
Sonja [21]

Answer:

m<N = 76°

Step-by-step explanation:

Given:

∆JKL and ∆MNL are isosceles ∆ (isosceles ∆ has 2 equal sides).

m<J = 64° (given)

Required:

m<N

SOLUTION:

m<K = m<J (base angles of an isosceles ∆ are equal)

m<K = 64° (Substitution)

m<K + m<J + m<JLK = 180° (sum of ∆)

64° + 64° + m<JLK = 180° (substitution)

128° + m<JLK = 180°

subtract 128 from each side

m<JLK = 180° - 128°

m<JLK = 52°

In isosceles ∆MNL, m<MLN and <M are base angles of the ∆. Therefore, they are of equal measure.

Thus:

m<MLN = m<JKL (vertical angles are congruent)

m<MLN = 52°

m<M = m<MLN (base angles of isosceles ∆MNL)

m<M = 52° (substitution)

m<N + m<M° + m<MLN = 180° (Sum of ∆)

m<N + 52° + 52° = 180° (Substitution)

m<N + 104° = 180°

subtract 104 from each side

m<N = 180° - 104°

m<N = 76°

4 0
3 years ago
Factor Completely: 2x2 − 18
tangare [24]
To factor the given function, find a term that is divisible by both terms. For this problem, the factor would be 2, since 2x^2 and -18 are both divisible by 2.

2(x^2 - 9)

You could further factor out x^2 - 9 because it is factorable by (x - 3) and (x + 3). Thus, it would be

2(x -3)(x+3)


3 0
3 years ago
Read 2 more answers
15x – 4y = 18<br> As a fraction?
Margaret [11]

Answer:

2(9+2y)/15 Hope this helped!!

Step-by-step explanation:

3 0
3 years ago
Determine the domain and range of the following
Tasya [4]

Answer:

Domain: (-3,-2,0,1,2,3)

Range: (9,4,1,0,1,4,9)

Step-by-step explanation:

5 0
4 years ago
CAN SOMEONE PLEASE HELP ME???
sp2606 [1]

Answer:

D

Step-by-step explanation:

6 0
4 years ago
Read 2 more answers
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