1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Naya [18.7K]
3 years ago
11

Use an algebraic equation to find the measure of each angle that is represented in terms of x.

Mathematics
1 answer:
GuDViN [60]3 years ago
6 0

The measure of each angle is 117°

Explanation:

Given that the two angles are (11x-26)° and (7x+26)°

We need to determine the measure of each angle.

<u>Measure of angles:</u>

From the figure, it is obvious that the two angles are vertically opposite angles.

By definition, we know that, the vertically opposite angles are always equal.

To determine the measure of each angle, we shall first find the value of x.

Thus, we have,

11x-26=7x+26

 4x-26=26

        4x=52

          x=13

Thus, the value of x is 13

Now, substituting x=13 in the angle (11x-26)°, we get,

(11(13)-26)^{\circ}=(143-26)^{\circ}

                    =117^{\circ}

The measure of the angle is 117°

Similarly, substituting x=13 in the angle (7x+26)°, we get,

(7x+26)^{\circ}=(7(13)+26)^{\circ}

               =117^{\circ}

The measure of the angle is 117°

Hence, the measure of each angle is 117°

You might be interested in
The quotient of y and 5 is equal to 27
Ostrovityanka [42]
It would be 27 divided by 5 which would be 5.4, so the answer would be y=5.4
7 0
3 years ago
Simplify it for me please Simplify: 1.50
frez [133]
2 just round up from 1.5 to 2 because it’s equal to or greater than 5 u round up
3 0
3 years ago
How do i do x/3=3 Please help!! thanks!!
Shkiper50 [21]
If you're looking for "x"

x/3 = 3
x = 3*3
x= 9
6 0
3 years ago
Read 2 more answers
Nancy found that x = 1 is one solution to the quadratic equation (x + 2)2 = a. What is the value of a?
solniwko [45]

ANSWER

a=9

EXPLANATION

The given quadratic equation is

{(x + 2)}^{2}  = a

If x=1 is a solution, then it must satisfy this equation:

{(1 + 2)}^{2}  = a

{3}^{2}  = a

a = 9

Therefore the value of 'a' is 9

4 0
3 years ago
Read 2 more answers
What is the slope of this line?
DedPeter [7]

Answer:

1/4 is the clope of the line

Step-by-step explanation:

a slope is just a rise ofver run from one dot to anothor so you go up 1 and over 4 and if you dont do the 2 dots that are closest to each other you have to simplify you r exspresion you will always get 1/4 on this graph

5 0
2 years ago
Other questions:
  • The coordinates of the vertices for the figure HIJK are H(0, 5), I(3, 3), J(4, –1), and K(1, 1).
    10·2 answers
  • What is -2(a+b)= -2a - 2b
    5·1 answer
  • Select the correct answer. In Δ``ABC, which trigonometric ratio equals `3/2`? A. sin B B. tan B C. tan C D. sin C
    11·2 answers
  • What is bigger 7/12 or 1/2
    10·2 answers
  • 98stickers
    7·2 answers
  • Please helpppppppppp me out
    6·2 answers
  • Need help ASAP!!!The measures of angles of a triangle are shown in the figure below.Solve for x
    15·1 answer
  • Cos2A + cos2A cot2A = cot2A​
    15·1 answer
  • Help with this please
    14·1 answer
  • Solve this question ​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!