Answer:
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Step-by-step explanation:
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°.
The sum of two numbers if just the numbers added together, so you would just need to do some simple algebra.
The ages added together are 68, and the opposite of addition is subtraction!
(total age) - (sarahs age) = (mothers age)
68 - 24 = 44
44 should be her mothers age!
(If you were trying to calculate the sum of their ages, you would just add them together, and 24 + 44 = 68)
z = 2y
Step-by-step explanation:
..... (given)
... (exterior alternate angles)
