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ololo11 [35]
2 years ago
14

Angles A and B are congruent. Find the value of x. Show all work to receive credit.

Mathematics
1 answer:
kolezko [41]2 years ago
8 0

Answer:

  x = 15

Step-by-step explanation:

Sides opposite congruent angles are congruent:

  x + 10 = 2x - 5

  15 = x . . . . . . . . . add 5-x

The value of x is 15.

_____

I suppose you could show the intermediate step:

  x +10 +(5 -x) = 2x -5 +(5 -x)

  15 = x . . . . . simplified

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Consider the following portion of an electric circuit with three relays. Current will flow from point a to point b if there is a
Svetradugi [14.3K]

Answer:

0.9009

Step-by-step explanation:

Let X be the event that Current will flow

Let Y be the event that the first relay which is 1 is closed

Thus, we can say that every element of Y is in X, but X possesses more elements. Thus, Y ⊂ X.

Thus, we can say that;

P(X ∩ Y) = P(Y)

Thus, given that current flowed, the probability that relay 1 functioned will be expressed as;

P(Y | X) = (P(Y ∩ X))/P(X)

From earlier, we saw that P(X ∩ Y) = P(Y). Thus;

P(Y | X) = P(Y)/P(X)

From the question, P(Y) = 0.9

Since there are 3 relays, then we have;

P(X) = 1 - 0.1³ = 0.999

Thus;

P(Y | X) = 0.9/0.999

P(Y | X) = 0.9009

4 0
2 years ago
What is the value of the expression
Art [367]

Answer:

D 41/10

Step-by-step explanation:

substitute the values given into the equation. Calculate.

4 0
3 years ago
a line passes through the point (-9,7) and has a slope of -4/3 write an equation in point slope form for this line
DENIUS [597]
The answer would be: Y= -4/3x - 5
5 0
3 years ago
Please help ASAP thanks
hjlf

Answer:

x = 2.5 inches. Or

x = 5/2

Step-by-step explanation:

Length: 7 + 2x

Width: 5 + 2x

Note that you have to add x at each end of the picture and onto each part of the width.

The entire area is 120 square inches.

Formula

L*W = Area

(2x + 7)(2x + 5) = 120

Solution

4x^2 + 10x + 14x + 35 = 120                Subtract 120 from both sides. Add xs

4x^2 + 24x + 35 - 120 = 0

4x^2 + 24x - 85 = 0                             Factor

(2x + 17)(2x - 5)

2x + 17 has no meaning. It will give -  8.5 which is not possible.

2x - 5 =0

2x = 5                                                  Divide by 2

x = 5/2

x = 2.5

Note: I don't know which one the computer is looking for.

8 0
3 years ago
Read 2 more answers
WILL MARK BRAINLIEST
Burka [1]

Answer:

283.3%

Step-by-step explanation:

6.8 divided by 2.4 = 2.83333333333

2.8333 x 100 = 283.33

= 283.3%

5 0
2 years ago
Read 2 more answers
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