4 x² + 6 = 40
4 x² + 6 - 6 = 40 - 6
4 x² = 34
x² = 34 : 4
x² = 8.5
x = √ (8.5)
x 1 = 2.9154759 ≈ 2.92 ( to the nearest hundredth )
x 2 ≈ - 2.92
Answer:The solutions are approximately 2.92 and - 2.92.

7 0

4 years ago

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Given that measure of angle 6 is 1/8 of measure of angle 4. Find the measures of these two angles if a∥b .

weeeeeb [17]

Answer:

$\angle 4=160^{\circ}, \angle 6=20^{\circ}$

Step-by-step explanation:

Consider the below figure attached with this question.

Given information: a∥b, $\angle 6=\frac{1}{8}\angle 4$ .

a∥b (Given)

$\angle 6=\frac{1}{8}\angle 4$ (Given)

Multiply both sides by 8.

$8\angle 6=\angle 4$ ...(1)

If a transversal line intersect two parallel lines then the same sided interior angles and are supplementary angles.

$\angle 6+\angle 4=180$ (Same sided interior angles)

$\angle 6+8\angle 6=180$ (Substitution)

$9\angle 6=180$

Divide both sides by 9.

$\angle 6=20$

The measure of angle 6 is 20 degree.

Substitute this value in equation (1).

$8(20)=\angle 4$

$160=\angle 4$

The measure of angle 4 is 160 degree.

3 0

4 years ago