Answer:
2.749
Step-by-step explanation:
Use the polar distance formula:


2.749
Answer:
60°
Step-by-step explanation:
The sum of angles in a triangle is 180°.
∠R + 88° + 32° = 180°
∠R = 60° . . . . . . subtract 120° from both sides of the equation
Answer:
7 1/17
Step-by-step explanation:
A figure can be helpful.
The inscribed semicircle has its center at the midpoint of th base. It is tangent to the side of the isosceles triangle, so a radius makes a 90° angle there.
The long side of the isosceles triangle can be found from the Pythagorean theorem to be ...
BC² = BD² +CD²
BC² = 8² +15² = 289
BC = √289 = 17
The radius mentioned (DE) creates right triangles that are similar to ∆BCD. In particular, we have ...
(long side)/(hypotenuse) = DE/BD = CD/BC
DE = BD·CD/BC = 8·15/17
DE = 7 1/17 ≈ 7.059
Answer:
(1)
Step-by-step explanation:
Slope of the given line is -2
1) 4x + 2y = 5, 2y = -4x + 5, y = -2x + 5/2, slope is -2
Parallel line, same slope so the answer is (1)