Answer:
12) The measure of PQR is 36 since both angles MQP (25) and PQR should add up to MQR (61)
13) The graph shows that both angles are congruent so that means:
2x+8= x+22
2x= x+14
x=14
14) angle ADB and angle BDC since it shows that both angles sum up to 90 degrees (also known as complementary angles)
15) Angles ADE and angle FDE are supplementary because they both add up to 180 degrees (supplementary angles)
16) Angles ADC and FDE are vertical because they are opposite of each other
17) Angles ADE and FDE are also linear pairs because both of them are adjacent (they both have a common side as well as a common vertex)
Hope this helps! ;)
Answer:
The ratio of volume of Cylinder A to the volume of Cylinder B is 18:25.
Step-by-step explanation:
Dimension of cylinder A,
Radius is 3 units and height is 4 units.
Dimension of cylinder B,
Radius is 5 units and height is 2 units.
The volume of a cylinder is given by :

For cylinder A to B,

So, the ratio of volume of Cylinder A to the volume of Cylinder B is 18:25.
Answer:
(3x+4)(2x-5)
Step-by-step explanation:
Factor by grouping.
Answer:
see explanation
Step-by-step explanation:
c = a - 2b
= < 4, 5, 6 > - 2 < 1, 2, 3 > ← multiply each component by 2
= < 4, 5, 6 > - < 2, 4, 6 > ← subtract corresponding components
= < 4 - 2, 5 - 4, 6 - 6 > = < 2, 1, 0 >
| c | =
=
= 
-------------------------------------------------------------------------------------------------
sum the product of corresponding components
u.v = (3 × 2) + (- 2 × - 1) + (4 × - 6) = 6 + 2 - 24 = - 16
Hey there! :D
Area= πr^2
So, the radius is half the diameter.
14/2= 7
7^2= 49
49π <== the answer
I hope this helps!
~kaikers