Answer:
126°
Step-by-step explanation:
In quadrilateral DSRC, SR || DC (given)
AP = BQ = CR = DS = ET (given)
CR bisects
![\therefore m\angle DCR=\frac{108\degree}{2}](https://tex.z-dn.net/?f=%20%5Ctherefore%20m%5Cangle%20DCR%3D%5Cfrac%7B108%5Cdegree%7D%7B2%7D%20)
(
is the measure of an angle of pentagon)
![\therefore m\angle DCR=54\degree](https://tex.z-dn.net/?f=%20%5Ctherefore%20m%5Cangle%20DCR%3D54%5Cdegree)
(Measure of interior angles on the same side of transversal)
![\therefore m\angle SRC=126\degree](https://tex.z-dn.net/?f=%20%5Ctherefore%20%20m%5Cangle%20SRC%3D126%5Cdegree)
Answer:
P" is then (-3, 2).
Step-by-step explanation:
If the point P(-6, 4) is translated 3 units to the right, the x-coordinate increases by 3 from -6 to -3 and the y-coordinate decreases 2 units from 4 to 2.
P" is then (-3, 2).
the shape is NOT a rhombus, because opposite sides are parallel but not all sides are congruent in length.
This shape is instead a parallelogram, where opposite sides are parallel but all sides do not have to be the same length
if 2 pairs of opposite sides are parallel, then opposite sides must be congruent, changing the angles will create nonparallel opposite sides that are unequal length and neither a parallelogram nor rhombus
The angle 12x-6 is a vertical angle to the 90 degree angle (marked by the square red marker)
Vertical angles are congruent, aka equal, so that means 12x-6 is equal to 90
12x - 6 = 90
12x - 6 + 6 = 90 + 6 ... add 6 to both sides
12x = 96
12x/12 = 96/12 ... divide both sides by 12
x = 8
So the final answer is x = 8
Let's check the answer. We do this by plugging in x = 8 into the original equation
12x - 6 = 90
12*x - 6 = 90
12*8 - 6 = 90 ... replace x with 8
96 - 6 = 90
90 = 90
Since we get a true result (same number on both sides), this confirms we have the correct answer.