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Sonja [21]
3 years ago
14

HELP Lines a, b, c, and d intersect as shown below.What is x

Mathematics
1 answer:
cestrela7 [59]3 years ago
6 0

Answer:

x = 109°

Step-by-step explanation:

Angle x lies outside of line d, and is also positioned just on the side of line a that is opposite to the side of line a occupied by angle 109°.

Therefore, angle x and the angle measure of 109° are alternate exterior angles.

Alternate exterior angles are congruent.

x = 109°.

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24 - 4 x 2 + 4b = 20 - 16​
AnnZ [28]

Answer:

b = -3

Step-by-step explanation:

Solve for b:

4 b - 4 2 + 24 = 20 - 16

-4×2 = -8:

4 b + -8 + 24 = 20 - 16

Grouping like terms, 4 b - 8 + 24 = 4 b + (24 - 8):

4 b + (24 - 8) = 20 - 16

24 - 8 = 16:

4 b + 16 = 20 - 16

20 - 16 = 4:

4 b + 16 = 4

Subtract 16 from both sides:

4 b + (16 - 16) = 4 - 16

16 - 16 = 0:

4 b = 4 - 16

4 - 16 = -12:

4 b = -12

Divide both sides of 4 b = -12 by 4:

(4 b)/4 = (-12)/4

4/4 = 1:

b = (-12)/4

The gcd of -12 and 4 is 4, so (-12)/4 = (4 (-3))/(4×1) = 4/4×-3 = -3:

Answer: b = -3

4 0
4 years ago
Find the quotient 585 divided by 13 with the answer
solong [7]
45 and no quotient!
I hope this helps!
4 0
4 years ago
Add the two expressions -4x + 3 and 2x - 6 enter your answer in the Box PLZ HELP FASt
Fed [463]
-4x+3+2x-6
The answer is -2x-3
3 0
4 years ago
a recently married couple are planning to have four children. They are equally likely to have a boy as well as a girl. What is t
Taya2010 [7]

Answer:

0.25

Step-by-step explanation:

Given that a recently married couple are planning to have four children. They are equally likely to have a boy as well as a girl.

Let X be the no of boys the couples have.  X has two outcomes with p = 0.5

X is binomial with n = no of trials = 4 and p =0.5

the probability that they will have three boys and one girl

=P(X=3)\\=4C3(0.5)^3(0.5)\\= 0.25

Reqd prob = 0.25

8 0
4 years ago
What is 2478 rounded to the nearest thousand​
Mariana [72]

Answer:

2000

Step-by-step explanation:

The number in the next place, the hundreds place, is 4, which is less than 5. Therefore, you round down, to 2000.

I would appreciate Brainliest, have an amazing day!

4 0
3 years ago
Read 2 more answers
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