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Slav-nsk [51]
4 years ago
11

In the following diagram \overline{DE} \parallel \overline{FG}

Mathematics
1 answer:
Gnesinka [82]4 years ago
7 0

Answer:

<x = 31°

Step-by-step explanation:

m<BCA = m<GCJ (vertical angles)

m<BCA = 59° (substitution)

Since line KL is perpendicular to line FG, the angle formed at point B is 90°.

Therefore, m<ABC = 90°

m<BAC + m<ABC + m<BCA = 180° (sum of triangle)

m<BAC + 90° + 59° = 180° (Substitution)

m<BAC + 149° = 180°

m<BAC = 180° - 149°

m<BAC = 31°

<x = <BAC (vertical angles)

m<x = 31° (substitution)

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Joel earns 1,700 per month if he spends $425 on rent each month what percent of his income does he spend on rent
kobusy [5.1K]
A. 25%  B. 33 1/2%  C. 20%  Correct = D. 40%

5 0
4 years ago
Find the value of the 60th term of the following sequence: 33, 28, 23, 18
Otrada [13]

Step-by-step explanation:

The first term of the AP i.e a = 33

and common difference i.e d = 28-33 = -5

So, 60th term = a +(n-1)d = a+ 59d

= 33 + 59( -5)

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4 0
3 years ago
Simplify the expression below -3(10x + 4y) + 6(6x − 2y)
iren [92.7K]

Answer:

6x - 24y

Explanation:

Expand -3(10x + 4y): -30x - 12y

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Simplify \bold{-30x-12y+6\left(6x-2y\right): \ 6x-24y}

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Mordancy.

3 0
3 years ago
Read 2 more answers
What is the missing value of 5x-2y=30 (8,)
AnnZ [28]

Answer:

In this equation, we can start by understanding that "x" has a value of 8, as given in the ordered pair. When multiplied by 5, this leads to "40 - 2y = 30". Next, we can subtract 40 from both sides of the equation. This leads us to a value of "-2y = -10". The next step would be to divide both sides by -2 as a way of isolating "y", which leads us to a final value of "y = 5". The final ordered pair would be (8,5).

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3 years ago
A bag contains red and blue marbles, such that the probability of drawing a blue marble is 3/8
aleksklad [387]

Answer:

9/64

Step-by-step explanation:

The probability that the marble on the first draw is blue is 3/8.

The probability that the marble on the second draw is blue is also 3/8.

So the probability that both are blue is:

3/8 × 3/8 = 9/64 ≈ 14%

4 0
3 years ago
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