3 years ago

In triangle ABC, m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘. What is the value of x?

Mathematics

1 answer:

givi [52]3 years ago

7 0

Answer:

x = 23

Step-by-step explanation:

A triangle contains 180°. So, simply create the equation m∠A + m∠B + m∠C = 180° and solve for x.

2x + 3x + 1 + 3x - 5 = 180

8x - 4 = 180

8x = 184

x = 23

You might be interested in

Find the value of x (8x-1) (4x+7)

Helen [10]

Answer:

The value of x = 7

Step-by-step explanation:

Given the right triangle

Right angle = 90°

α = (4x+7)°

β = (8x-1)°

We know that the sum of angles of a triangle is 180°.

Right angle + α + β = 180°

90° + 4x+7 + 8x-1 = 180

Group like terms

$4x+8x+90+7-1=180$

Add similar elements: :4x+8x=12x

$12x+90+7-1=180$

$12x+96=180$

$12x=84$

Divide both sides by 12

$\frac{12x}{12}=\frac{84}{12}$

$x = 7$

Therefore, the value of x = 7

7 0

3 years ago

The Myers-Briggs test is organized into _____ sets of dichotomies which are further divided into _____ opposite characteristics.

Naddik [55]

4;2 is the answer to ur question

3 0

3 years ago

A swimming pool has to be drained for maintenance. The pool is shaped like a cylinder with a diameter of 10 m and a depth of 1.7

love history [14]

About ten days or so

3 0

3 years ago

Which point is located at -0.135? A B C or D

Sergeu [11.5K]

D as you can see on the number line d is 1/3 of the way to -2

6 0

3 years ago

A circular plate has a radius of 13 centimeters.

butalik [34]

To solve the problem, we need to get the formula for area of a circle -
Area = pi * r^2; r= radius
= 3.14 * (13cm)^2
= 3.14 * 169cm^2 or 3.14 * 13^2cm^2
= 530.66cm^2
Therefore, the area of the circular plate is 530.66cm^2

3 0

3 years ago

Read 2 more answers