Answer:
b
Step-by-step explanation:
Answer:
mDF = 90°
(Assuming arc mCE is 5x + 10)
Step-by-step explanation:
When we have two chords crossing in a circle, there is a property where the angle in the cross point is equal half the sum of the corresponding arcs.
So in this case, we have:
70° = (mCE + mDF)/2
Assuming mCE is 5x + 10, we have:
70 = (5x + 10 + 11x + 2)/2
70 = (16x + 12)/2
70 = 8x + 6
8x = 64
x = 8
So the arc mDF is:
mDF = 11x + 2 = 11 * 8 + 2 = 90°
Answer:
$45.15
Step-by-step explanation:
When you are dealing with questions with percents in them—like this one—you have to turn the percent into a decimal. To make 7.5% into a decimal, you move the decimal point 2 spaces to the left. So, 7.5% is also 0.075.
Now, we have to use this formula for these types of questions:
x + x(y)= the price with tax (or markup)
So, we can substitute the variables.
42+42(0.075)=the retail price
42(0.075)=3.15
42+3.15=45.15
So, the retail price will be $45.15
Answer:
x=4
Step-by-step explanation:
Step 1: Cross-multiply
Step 2: Divide both sides by 15
Hope it helps:)
