Answer:
b
Step-by-step explanation:
Answer:
the variable
Step-by-step explanation:
i got it right on edge :)
Answer:
15°
brainlest
Step-by-step explanation:
Since P is on the median of ΔABC, it is equidistant from points B and C as well as from C and Q. Thus, points B, C, and Q all lie on a circle centered at P. (See the attached diagram.)
The base angles (B and C) of triangle ABC are (180° -30°)/2 = 75°. This means arc QC of the circle centered at P has measure 150°. The diameter of circle P that includes point Q is defined to intersect circle P at R.
Central angle RPC is the difference between arcs QR and QC, so is 180° -150° = 30°. Inscribed angle RQC has half that measure, so is 15°. Angle PQC has the same measure as angle RQC, so is 15°.
Angle PQC is 15°.
To solve this we are going to use the formula for the area of a circle:

where

is the area of the circle

is the diameter of the circle
We know from our problem that the area of our circle is 10 inches long, so

. Lets replace that value in our formula to find

:


We can conclude that the correct answer is: 78.54 square inches, or in centimeters: 506.7 square cm.
4 × ( x + 4 ) = 3 × ( 3 + 5 )
4 × ( x + 4 ) = 3 × 8
Divide both sides by 4
x + 4 = 3 × 2
x + 4 = 6
Subtract both sides 4
x = 2