Angles along a straight line equal 180. This means that the unmarked angle of the triangle is equal to (180-153)=27.
Angles in a triangle add to 180. This means:
(x-4)+(2x+10)+27=180
3x+33=180
3x=147
x=49
Answer:
y = -6x + 10
Step-by-step explanation:
Parallel lines share the same slope. Given y = -6x – 1, we know that the equation of this new line has the form y = -6x – C. The coordinates of the point (1, 4) determine the value of C:
(4) = -6(1) – C, or:
4 = -6 - C
Then C = -10, and the desired equation is
y = -6x – (-10), or
y = -6x + 10
Answer:
21.9°
Step-by-step explanation:
In ΔHIJ, the measure of ∠J=90°, HI = 8 feet, and JH = 1.9 feet. Find the measure of ∠H to the nearest tenth of a degree.
We solve this above question using the Sine rule
a/sin A = b/sin B
In ΔHIJ, the measure of ∠J=90°, HI = 8 feet, and JH = 1.9 feet.
Hence:
HI/∠J = JH/∠H
= 8/sin 90° = 1.9/sin ∠H
Cross Multiply
∠H = arc sin(sin 1.9 × 90/8)
∠H = 21.9°
Answer:
8
Step-by-step explanation:
16 divided by 8 equals 2 then 24 divided by 8 equals 3 Answer: 8