Answer:
x = 8
Step-by-step explanation:
For this question, you can use power of a point, more specifically when two secants intersect in the interior of a circle. From this, you get the equation:
(7 + x)(12) = (10)(2x + 2)
You can simplify and solve:
84 + 12x = 20x + 20
84 = 8x + 20
64 = 8x
x = 8
Answer:
<u>The slope is -3.</u>
Step-by-step explanation:
The slope is the Rise/Run between the two points. The change in y for every change in x. Take the two points and calculate the:
RISE = (-6 - 3) = -9
RUN = (8 - 5) = 3
Rise/Run, or slope, is = -9/3 or -3
I graphed a line with slope of -3 and then added 18 to force the line to intersect the two given points.
Answer:
Step-by-step explanation:
Use the formula 
to find the sum of the angles in a polygon, given <em>n</em> sides. This formula tells us the angles of this pentagon must add to 540 (
).
So, we can setup an equation:
Solve for z:
Combine like terms
Subtract 200
Divide by 5
Therefore, the value of z = 68.
That correct answer is 0.0625
Let the initial number of girls be x, this represents 40% of the dancers.
Total number of dancers will therefore be:
100/40*x=2.5x
When 15 more girls joined, the new number of girls was:
x+15 this represents the total percentage of 52%. The new number of dancers became:
2.5x+15:
therefore the new percentage of girls can be expressed as follows:
(new number of girls)/(new number of dancers)×100
(x+15)/(2.5x+15)×100=52
(x+15)/(2.5x+15)=0.52
x+15=0.52(2.5x+15)
x+15=1.3x+7.8
15-7.8=1.3x-x
7.2=0.3x
x=7.2/0.3=24
The number of students after additional number of girls will be:
2.5x+15
=2.5×24+15
=60+15
=75 students
