Answer:
x=4
Step-by-step explanation:
Since it's a parallelogram, the angle BCE(79) = angle CED(79)
so... 79+63 = 142
now...
142+8x+6=180(sum of angles in a triangle)
148+8x=180
8x=32
x=4
Answer:
6 inches
Step-by-step explanation:
Plug the known values into the equation for volume (
) and solve for width.
Answer:
49.71 miles per hour
Step-by-step explanation:
The speed of the vehicle is at a rate of 80 kilometers per hour.
Convert km to miles.
80 kilometers = 49.7097 miles
The speed is approximately 49.71 miles per hour.
When two parallel lines are intersected by a transversal, the same-side exterior angles are supplementary. That means that their sum is 180.
Using that logic, if the two roads were parallel, then the sum of their same-side exterior angles will add up to 180. Yet their same-side exterior angles add up to 170 (130 + 40 = 170), hence they can't be parallel.
See the drawing attached below.
Using supplmenatry angles (two angles whose sum of measures add up to 180 or a straight line), we can say that:
m<DIE + m<HID = 18
40 + m<HID = 180
m<HID = 140
Similarly:
m<BHC + m<CHI = 180
130 + m<CHI = 180
m<CHI = 50
Using verticle angles therome, (when two lines intersect, the angles opposite to eachother are congruent, or have the same measure), we can say that:
m<DIE = m<GIH = 40
m<GIE = m<HID = 140
m<CHI = m<AHB = 50
m<BHC = m<AHI = 130
Answer:
There are 68 dogs in the pound.
Step-by-step explanation:
Number of pit bull dogs in a pound = P = 23
Number of chihuahuas dogs in a pound = C = 17
Number of mutts dogs in a pound = M = 28
Total number of dogs in a pound = T

There are 68 dogs in the pound.