Hello from MrBillDoesMath!
Answer:
8
Discussion:
Let the number be "n". Then the question states that
3n - 15 = (n/2) + 5 => multiply both sides by 2
6n - 30 = n + 10 => subtract n from both sides
5n - 30 = 10 => add 30 to both sides
5n = 30 + 10 = 40 => divide both sides by 5
n = 40/5 = 8
Thank you,
MrB
Answer:
slope = 0
y intercept = -5
Step-by-step explanation:
y= -5 is a horizontal line
horizontal lines have a slope of 0
it crosses the x axis at y=-5
The answer is $3,850 and have a very nice day
Answer:
Option (D)
Step-by-step explanation:
Length of the bar EG = 1.6x
If F is a point on the bar such that,
EF + FG = EG
Measure of segment EF = 6
Measure of FG = x
By substituting measures of each side,
6 + x = 1.6x
1.6x - x = 6
0.6x = 6
x = 10
Length of EG = x + 6
= 10 + 6
= 16 units
Option (D) will be the correct option.
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°
