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Sati [7]
2 years ago
5

15. Find M /_ B.

Mathematics
2 answers:
Dovator [93]2 years ago
8 0

Answer:

  B = 79°

Step-by-step explanation:

The sum of interior angles of a quadrilateral is 360°.

  (14x -11)° +(8x +7)° +(5x +18)° +(10x +13)° = 360°

  37x +27 = 360 . . . . . . divide by °, collect terms

  37x = 333 . . . . . . . . subtract 27

  x = 9 . . . . . . . . . . . divide by 37

The measure of angle B is ...

  B = (8x +7)° = ((8)(9) +7)°

  B = 79°

_____

<em>Additional comment</em>

The other angles are ...

  A = 115°, C = 63°, D = 103°

aliina [53]2 years ago
7 0

Answer:

m∠B=79°

Step-by-step explanation:

∠A +∠B+∠C+∠D=360°

14x-11+8x+7+5x+18+10x+13=360°

37x+27=360°

37x=333

x=9

so,

m∠B=8x+9

m∠B=8×9+7

m∠B=79°

Hope it helps!

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Leokris [45]

Answer:

Three acute angles.

Explanation:

There are always three acute angles in an acute triangle.

8 0
3 years ago
483.6 is what percent of 180
liraira [26]

Answer:

We assume, that the number 180 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 180, so we can write it down as 100%=180.

4. We know, that x% equals 483.6 of the output value, so we can write it down as x%=483.6.

5. Now we have two simple equations:

1) 100%=180

2) x%=483.6

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=180/483.6

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 483.6 is what percent of 180

100%/x%=180/483.6

(100/x)*x=(180/483.6)*x       - we multiply both sides of the equation by x

100=0.37220843672457*x       - we divide both sides of the equation by (0.37220843672457) to get x

100/0.37220843672457=x

268.66666666667=x

x=268.66666666667

now we have:

483.6 is 268.66666666667% of 180

4 0
3 years ago
Using the rearrangement property find the sum of the following ​
love history [14]
So you have to simplify



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4 0
2 years ago
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lyudmila [28]

Easy Algebra question!

Let's use "x" as a variable.

The equation would be x+x+60 = 240 with "x" being George's weight.

Subtract 60 from both sides and you get 2x = 180.

From there you divide both sides by 2, getting x=90.

"x" is George's weight, so he weighs 90 pounds.

ANSWER: 90 POUNDS

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3 years ago
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