Answer:
The three unknown angles X, Y , and Z are:
X = 40, Y = 20, and Z = 120
Step-by-step explanation:
Let's name X the measure of the first angle, Y the measure of the second one, and Z that of the third one.
Then we can create the following equations:
X = 2 Y
Z = 100 + Y
and
X + Y + Z = 180
So we use the first equation and the second one to substitute for the variable X and Z in the thrid equation:
2 Y + Y + (100 + Y) = 180
4 Y + 100 = 180
4 Y = 80
Y = 80/4 = 20
Then X = 40, Y = 20, and Z = 120
H=how far up from the ground does the ladder touch the building
h/30=sin 25°
h=30 sin 25°
h=12.7 decimeters(1 decimal place)
Answer: The height that the ladder touch the building far up from the ground is 12.7 decimeters.
Answer:
176.39 inches or
14.70 feet
Step-by-step explanation:
Consider the right triangle made by Kristen, ground and shadow.
This triangle has one leg as 64 inches.
Next consider the right triangle formed by street light, ground upto shadow tip.
The two triangles have common angle of elevation and also another angle as 90 degrees.
Hence the two triangles would be similar
Also if A is the angle made by hypotenuse of both triangles with the ground we have

This value also equals by bigger triangle as

From these two we get
h = height of street light =
We are given : $168 raised for washing 24 cars and $280 raised for washing 40 cars.
We know the rate formula.
Rate = Total amount ÷ Total numbers.
Let us find value of each rate for the given problem.
Rate 1: Total amount ÷ Total numbers = $168 ÷ 24 = $7.
Rate 2: Total amount ÷ Total numbers = $280 ÷ 40 = $7.
We can clearly see that Rate 1 is equal to Rate 2, that is $7.
So, we can say rates are equivalent.
Well the y-intercept is where a line crosses the y-axis
y=-4x-6
think of it as y=mx+b
m is always going to be your slope
b is always going to be your y-intercept
y-intercept of y=-4x-6
is -6