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natulia [17]
3 years ago
12

Daniel is constructing a fence that consists of parallel sides line AB and line EF. Complete the proof to explain how he can sho

w that m∠GKB = 120° by filling in the missing justifications. Statement Justification line AB ∥ line EF m∠ELJ = 120° Given m∠ELJ + m∠ELK = 180° Linear Pair Postulate m∠BKL + m∠GKB = 180° Linear Pair Postulate m∠ELJ + m∠ELK = m∠BKL + m∠GKB Transitive Property ∠ELK ≅ ∠BKL 1. m∠ELK = m∠BKL 2. m∠ELJ + m∠ELK = m∠ELK + m∠GKB Substitution Property m∠ELJ = m∠GKB Subtraction Property m∠GKB = m∠ELJ Symmetric Property m∠GKB = 120° Substitution 1. Alternate Interior Angles Theorem; 2. Definition of Congruence 1. Alternate Exterior Angles Theorem; 2. Substitution Property 1. Definition of Congruence; 2. Alternate Interior Angles Theorem 1. Substitution Property; 2. Alternate Exterior Angles Theorem
Mathematics
1 answer:
Anit [1.1K]3 years ago
3 0

Answer:

its 1

Step-by-step explanation:

got it right o the test

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Point A is at (4,7). Find its new coordinate after it is translated 3 units left and 2 units down
VMariaS [17]

Answer:

B 1,5

Step-by-step explanation:

6 0
2 years ago
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In the right triangle shown in the diagram below,
adelina 88 [10]

QUESTION :-

what is the value of x to the nearest whole number?

ANSWER :-

\cos( \theta)  =   \frac{base}{hypotenuse}  \\  \cos(30)  =  \frac{x}{24}  \\  \frac{ \sqrt{3} }{ \cancel2}  =  \frac{x}{ \cancel{24}}  =  \frac{x}{12}  \\ 1.732 =  \frac{x}{12}  \\ 12 \times 1.732 = x \\ x = 20.7

SO

the nearest whole number-->

20.7 --> approximately --> 21 units

5 0
2 years ago
10) Solve the equation for the variable "a":<br> 2(x + a) = 4b
masya89 [10]

Answer:

a= 2b-x

Step-by-step explanation:

You have to isolate the variable by dividing each side of the factors that does not contain the variable "a".

3 0
3 years ago
1. Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will aff
nasty-shy [4]

Answer:

Increase by $145

Step-by-step explanation:

= $ (x + 145 + 145)

= $ (x + 290)

5 0
3 years ago
5/8+3/4 / -2/3 - 5/6 =​
m_a_m_a [10]

Answer:

-11/12

Step-by-step explanation:

Add 5/8+3/4 (6/8) which is 11/8 and then get -2/3 - 5/6 which simplifies to -3/2

Multiply -3/2 by 4 to get it to like terms

11/8 / -12/8

Multiply and then simplify.

If you need help, just comment!!

3 0
3 years ago
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