Answer:
15°
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°.
Answer: 
Step-by-step explanation:
Given
Rectangle has an area of 
Suppose rectangle length and width are 
and 
If each side is increased by 
Area becomes 
We can write
Substitute the value of width from (ii) in equation (i)
Width corresponding to these lengths
Therfore, we can write the length of the longer side is
With A and its image one can get the dilation factor;
That is dilation scale factor = -6/-4 or 9/6 = 3/2
Therefore, to get the image of B we multiply the coordinates of B by the dilation factor;
(1,4) 3/2 = (1.5, 6)
Thus the image of B = (1.5,6)
It’s - ( - 3 ) because a negative times a negative equals a positive so it wouldn’t be - ( 3 ) because it would turn into a negative number and - ( - 3 ) would be positive
