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Alisiya [41]
3 years ago
13

Unit 4 Test, Part 2: Congruence and Constructions Help with my math please

Mathematics
1 answer:
lakkis [162]3 years ago
8 0

Answer/Step-by-sep explanation:

1. Given:

∆NMK ≅ ∆TRP

\overline{NM} = 20

\overline{MK} = 15

\overline{KN} = 25

\overline{TR} = 3x - 1

a. To complete the congruent statement, thus: ∆MNK ≅ ∆RTP

b. The side that is congruent to \overline{TR} is \overline{NM}. Thus:

\overline{TR} ≅ \overline{NM}

c. Since \overline{TR} ≅ \overline{NM}, therefore:

\overline{TR} = \overline{NM}

3x - 1 = 20 (substitution)

Add 1 to both sides

3x = 20 + 1

3x = 21

Divide both sides by 3

x = \frac{21}{3}

x = 7

2. a. Slope of LK = \frac{rise}{run} = \frac{4}{3}

Slope of LM = \frac{rise}{run} = -\frac{3}{5}

b. ✍️Length of LK is the distance between L(-7, 4) and (-4, 8):

Lk = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Lk = \sqrt{(-4 -(-7))^2 + (8 - 4)^2}

Lk = \sqrt{(3)^2 + (4)^2}

Lk = \sqrt{9 + 16}

Lk = \sqrt{25}

Lk = 5

✍️Length of LM is the distance between L(-7, 4) and (-2, 1):

LM = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

LM = \sqrt{(-2 -(-7))^2 + (1 - 4)^2}

LM = \sqrt{(5)^2 + (-3)^2}

LM = \sqrt{25 + 9}

LM = \sqrt{34}

LM = 5.8 (nearest tenth)

∆KLM is not an isosceles ∆ because it does not has two equal side lengths. This we can see because LK and LM are not equal.

Therefore, Anthony is incorrect. Am isosceles ∆ has two equal sides.

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Minchanka [31]
Square root of 30=5.5
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7 0
3 years ago
Consider the equation.<br> 35 +<br> = 7(5+3)
Deffense [45]

Answer:

21

Step-by-step explanation:

35+? = 7(5+3)

35+? = 7(8)

35+? = 56

? = 56-35

? = 21

6 0
2 years ago
Hellllllllllpppppppppppppppppp Solve for t. −5t≥70
Zinaida [17]
Divide 70 by -5
and flip the sign when dividing by a negative number
70/-5= -14
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7 0
3 years ago
Read 2 more answers
Expressions that are equivalent to <br> –<br> 8(q+6).
Alona [7]

Answer:

q = -6

Step-by-step explanation:

8(q + 6)

= (8×q) (8×6)

= 8q + 48

8q = -48

q = -48/8

q = -6

8 0
3 years ago
Can someone please help me with this! I'll do my best to give a lot of points for it!
Triss [41]
1. By combining like terms
2. Same variable = same term, so you can combine them
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4. 1/2 + 1/2 = 1. A half an x and a half an x makes one whole x, therefore, x
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Hopefully these are right, I’m a bit rusty!
6. 4x
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Good luck, I hope this helped
8 0
3 years ago
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