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Valentin [98]
3 years ago
15

In Triangle A B C, what is the measure of angle B?

Mathematics
2 answers:
matrenka [14]3 years ago
8 0

Answer:

It is 92.

Step-by-step explanation:

If 140 degrees is the exterior, then we can find the interior by doing 180-140. We get 40, so that means the "c" interior angle is 40 degrees. Since 3 angles added together is 180 degrees, we can make this equation: (2x)+(x+2)+40=180. The "x+2" and "2x" don't need to be in parenthesis but I wrote it like that so it wouldn't confuse you. Once you solve that, the answer should be x=46. Then multiply by 2 and get 92.

miskamm [114]3 years ago
5 0

Answer:

92

Step-by-step explanation:

You can use the exterior angle theorem:

3x + 2 + 40 = 180

3x = 138

x = 46

2 * 46 = 92

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HELP ME WHICH ANSWER
SIZIF [17.4K]

Answer:

D

Step-by-step explanation:

30 : 13  = 30/13

8 0
2 years ago
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What is an equation of the line that passes through the point (-7,-6)(−7,−6) and is parallel to the line x-y=7x−y=7?
kotykmax [81]

Answer:

y = x + 1

Step-by-step explanation:

The gradient of a line can be defined by the equation:

m (gradient) = (y1 – y2 ) ÷ (x1 – x2) ----> "1" and "2" should be in subscript

For (-7,-6) we use x2 and y2 (because this point can be anywhere along a line):

x2 = -7, y2 = -6

Plug these values into the formula above:

m = (y-(-6)) ÷ (x-(-7))

m = (y+6) ÷ (x+7)

At this stage, the equation can't be solved as there are two unknowns. Therefore, the gradient must be found another way. Two lines are parallel if they have the same gradient - in their y=mx+c equations, m will be equal.

x - y=7 is the line alluded to in the question. Rearranging this equation into the line equation format gives:

y = x-7 ---> The gradient (coefficient of x) is 1.

Therefore, the gradient of the other parallel line must also be 1.

This can be substituted into the previous equation to give:

1 = (y+6)÷(x+7)

x+7 = y+6

x+1 = y

Therefore, the answer is y=x+1

5 0
2 years ago
Find the simple interest paid on a loan of $750 with an 18% rate over 2 years.
sleet_krkn [62]

Answer: $270

Step-by-step explanation:

I = prt

I = 0.18 x 750 x 2

I = 135 X 2

I = 270

6 0
3 years ago
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The sum of two numbers is 31.5. The difference is 5.25. Find the numbers
ANTONII [103]
X+y=31.5
x-y=5.25

add 2 equations
x+y+x-y=31.5+5.25
2x=36.75
x=18.375
y=31.5-18.375=13.125
check : 18.375+13.125=31.5, 
18.375-13.125=5.25 
so
Answer:
18.375 and 13.125

8 0
3 years ago
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If f(x)=2x^2+5 square root (x-2) what does f(3)=?
bezimeni [28]

Answer:

f(3) = 23

Step-by-step explanation:

7 0
3 years ago
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