Answer:
<h3> The true statement is the first:</h3><h2>
Measure of angle A = 20 degrees</h2>
Step-by-step explanation:
The sum of the measure of the interior angles in a triangle is 180°
m∠A + m∠B + m∠C = 180°
(2x)° + (5x)° + (11x)° = 180°
(18x)° = 180°
x = 10
A = (2×10)° = 20° {<u>the first statement is true}</u>
B = (5×10)° = 50° {the second statement is false}
C = (11×10)° = 110°
m∠A + m∠B = 20° + 50° = 70° ≠ 90° {the third statement is false}
m∠A + m∠C = 20° + 110° = 130° ≠ 120° {the fourth statement is false}
The distance is 1410 miles.
The triangle above shows how speed, distance and time are related. D = s x t
S= d/t
T=d/s
Answer:
y + 7.8 = 25.2
y = 17.4
Step-by-step explanation:
y + 7.8 = 25.2
(now we solve the equation .... we substract 7.8 from each side of the equation )
y = 25.2 - 7.8
y = 17.4
Answer:
D
Step-by-step explanation:
From any point (x, y) on the parabola the focus and directrix are equidistant
Using the distance formula
= | y + 1 |
Squaring both sides
(x + 5)² + (y - 5)² = (y + 1)^2 , that is
(y + 1)² = (x + 5)² + (y - 5)² ← subtract (y - 5)² from both sides
(y + 1)² - (y - 5)² = (x + 5)² ← expand left side and simplify
y² + 2y + 1 - y² + 10y - 25 = (x + 5)²
12y - 24 = (x + 5)² ← factor left side
12(y - 2) = (x + 5)² ← divide both sides by 12
y - 2 =
(x + 5)² ← add 2 to both sides
y =
(x + 5)² + 2
or
f(x) =
(x + 5)² + 2 → D
Answer: the pitch of the roof is 2/9