Referred to the triangle below what is the volume X. 44° (2x + 1) 98°

Solution:

Let us first define the exterior angle theorem of triangles.

Exterior angle theorem:

The measure of the exterior angle is equal to the sum of the measures of the two opposite interior angles.

In the given triangle,

Measure of exterior angle = 98°

Measure of one opposite interior angle = 44°

Measure of other opposite interior angle = (2x + 1)°

To find the value of x:

Using exterior angle theorem,

⇒ 44° + (2x + 1)° = 98°

⇒ 44° + 2x° + 1° = 98°

⇒ 45° + 2x° = 98°

⇒ 2x° = 98° – 45°

⇒ 2x° = 53°

Hence the value of x is .

4400

step-by-step explanation:

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15