All categories

2 years ago

Solve for x. Find the angle measures. Angle AOB=x+3, angle AOC=2x+11, angle BOC=4x-7

Mathematics

2 answers:

Ghella [55]2 years ago

4 0

Answer:

x=5

AOB = 8

BOC = 13

AOC = 21

Step-by-step explanation:

Angle AOB and Angle BOC is equal to Angle AOC.

AOB = x+3

BOC = 4x-7

AOC= 2x+11

AOB + BOC = AOC

x+3+4x-7 = 2x+11

5x-4 = 2x+11

3x = 15

x = 5

Therefore, the value of x is 5.

Angle AOB = x+3

AOB = 5+3

AOB = 8

Angle BOC = 4x-7

BOC = 4(5)-7

BOC = 13

Angle AOC = 2x+11

AOC = 2(5)+11

AOC = 21

kolezko [41]2 years ago

4 0

Answer:

x=5

$\angle AOC=21$

$\angle AOB=8$

$\angle BOC=13$

Step-by-step explanation:

We are given that

$\angle AOB=x+3$

$\angle AOC=2x+11$

$\angle BOC=4x-7$

We have to solve for x and find the angle measures

$\angle AOC=\angle AOB+\angle BOC$

$2x+11=x+3+4x-7$

$2x+11=5x-4$

$11+4=5x-2x$

$15=3x$

$x=\frac{15}{3}=5$

Substitute the value of x then, we get

$\angle AOC=2(5)+11=21$

$\angle AOB=5+3=8$

$\angle BOC=4(5)-7=13$

You might be interested in

801,504 round to the nearest thousand

Gelneren [198K]

Answer:

802,000

Step-by-step explanation:

The number in the thousands place is 1, and the number to the right of it is 5. And if the number to the right is greater than or equal to 5 the place value that you are rounding goes up by one.

3 0

3 years ago

Match each statement to it’s corresponding reason. Drake the items on the left to the correct location on the right PLEASE AND T

andreyandreev [35.5K]

Answer:

Step-by-step explanation:

1) $\angle AED$ and $\angle BEC$ are vertical angles

2) $\angle AED$ and $\angle BEC$ are created by intersecting lines (definition of vertical angles)

3) $\angle AED$ and $\angle AEB$ form a linear pair, $\angle AEB$ and $\angle BEC$ form a linear pair

4) $\angle AED$ and $\angle AEB$ are supplementary, $\angle AEB$ and $\angle BEC$ are supplementary

5) $\angle AED \cong \angle BEC$

6 0

2 years ago

What is the line of reflection for the trapezoids?

shepuryov [24]

The answer is A

because there is no other answer

6 0

2 years ago

The surface area of this rectangular prism is blank sq centimeters

DanielleElmas [232]

Find the area of each area. Or you can multiply 10 by 18 to get 180. That’s the 4 boxes in the middle. 3 x 6=18. This is the box on the top. The box on the bottom is the same so multiply 18 by 2 to get 36. 36+180=216cm2.

4 0

2 years ago

The function g(x) = x2 – 10x + 24 is graphed on a coordinate plane. W the x-axis? (–6, 0) and (–4, 0) (–2, 0) and (–12, 0) (4, 0

Shkiper50 [21]

The function g(x) factors as
g(x) = (x-4)(x-6)
so the x-intercepts are at x=4 and x=6.

The appropriate choice is
(4, 0) and (6, 0)

7 0

2 years ago