Answer:
x=16
Step-by-step explanation:
Because this is an isosceles triangle the angle 2x+3 is the same as the missing angle. The angles in triangles add up to 180 degrees. 180-110=70.
Because the two angles are the same you can divide 70 by 2 to get 35.
35=2x+3.
35-3=2x+3-3
32=2x
32/2=2x/2
16=x
Answer:
y = x/5 -11
Step-by-step explanation:
y = mx + b (slope intercept form)
5y = x-55
y = x/5 -11
Answer:
its a counterclockwise rotation of 90° about the origin.
Step-by-step explanation:
Answer:
The angles are 79.45, 59.02 and 41.53 degrees to the nearest hundredth.
Step-by-step explanation:
We have a triangle with sides of length 8.6, 5.8 and 7.5 feet.
Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:
cos X = (8.6^2 - 5.8^2 - 7.5^2) / ( -2*5.8*7.5)
= 0.18310
X = 79.45 degrees.
We can now find another angle using the sine rule:
8.6 / sin 79.45 = 7.5/ sin Y
sin Y = (7.5 * sin 79.45) / 8.6
Y = 59.02 degrees
So the third angle = 180 - 79.45 - 59.02
= 41.53 degrees.
