55 I hope this helps you!
Answer:
75,000 gears
Step-by-step explanation:
Answer & Step-by-step explanation:
These triangles are similar. This means that they are going to have the same ratios within their different sides.
AC and CE already have measurements so we are going to find the ratio between them. We can do this by dividing 21 by 7.
21 / 7 = 3
So, since the ratio between AC and CE is 3, then the rest of the triangle has a ratio of 3 with the other triangle.
So, let's set up an equation so we can find the value of x.
21/7 = (20 - x)/x
Cross multiply.
21x = 140 - 7x
Add 7x to both sides of the equation.
28x = 140
Divide 28 from 140.
x = 5
Now that we have the value of x, then we can find the measurement of CD.
The measurement of CD is 5.
Answer:
∠ UVS = 39°
Step-by-step explanation:
The angle UVS is an inscribed angle and is half the measure of the intercepted arc, that is
∠ UVS = 0.5 × 78° = 39°
The equation of the line written in slope-intercept form is:

Where m is the slope and b is the y-intercept.
You find the slope using the formula:

Where point A coordinates' are (-4,-19) and point B (-6, 4).


Now you find b (y-intercept) substituting in y=-23/2x+b the coordinates of point A or point B:
(I'll use point B coordinates')
y=-23/2x+b
4=-23/2×(-6)+b
4=46+b
b=-42
The equation of the line is y=-23/2x-42