Find the value of x. the diagram is not to scale. lines f and g are parallel.

Lines f and g are parallel and the two angles are same-side angles, so they add up to 180 degrees. An equation for this would add up to 180, then solve for x to find the answer to the problem.

5x + (9x + 26) = 180, combine the like terms.

14x + 26 = 180, subtract 26 from both sides.

14x = 154, divide both sides by 14.

x = 11; so your answer is B. 11.

Using the knowledge of same-side interior angles, given that lines f and g are parallel, the value of x is: B. 11

Given that line f and line g are parallel to each other, the angles 5x and 9x + 26 are same-side interior angles.

Therefore:

(same-side interior angles are supplementary)

x = 11

Therefore, using the knowledge of same-side interior angles, given that lines f and g are parallel, the value of x is: B. 11

Learn more here:

link

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet