Angle Relationships Algebra

Imagine you're helping a friend build a ramp for their new shed. You need to ensure the ramp is stable and meets the required safety standards. What is the relationship between the lengths of the sides of the ramp, assuming it forms a right-angled triangle? Hint: Think about when the length of the slope side (hypotenuse) is crucial!

• a + b = c

• a² + b² = c²

• a² – b² = c²

• a – b = c

Answer explanation

The relationship between the lengths of the sides of a right-angled triangle is described by the Pythagorean theorem: a^2 + b^2 = c^2, where a and b are the two shorter sides, and c is the hypotenuse.

Tags

8.9.a

Identify the angle relationship.

• Adjacent

• Complementary

• Supplementary

• Vertical

Answer explanation

The correct angle relationship is 'Adjacent' because the angles share a common side and vertex, but do not overlap.

Tags

8.5

Tags

CCSS.7.G.B.5

Solve for n.

• 13.5

• 8

• 8.5

• -8

Tags

CCSS.7.G.B.5

Apply rules for angle relationships to solve for m.

• 9

• 18

• 45

• 90

Tags

CCSS.7.G.B.5

• 5

• 10

• 12.5

• 15

Tags

CCSS.8.G.A.5

Tags

CCSS.7.G.B.5

The measure of an angle is five times the measure

of it's complementary angle. What is the measure of the angles?

Tags

CCSS.7.G.B.5

Solve for w.

• 9

• 11

• 27

• 3

Tags

CCSS.8.G.A.5

Tags

CCSS.8.G.A.5