Answer:
∠SRQ = 75º, ∠TQR = 75º, ∠TSR = 105º, ∠STQ = 105º
Step-by-step explanation:
Since the quadrilaterals are similar, their corresponding angles are the same.
Remark
Supplementary angles add up to 180o.
Givens
<1 = 124
<2 = 2x + 4
I imagine you are looking for either x or <2.
Equation
<1 + <2 = 180 Substitute the givens
124 + 2x + 4 = 180 Collect like terms on the left.
128 + 2x = 180 Subtract 128 from both sides
2x = 180 - 128 Collect like terms on the right
2x = 52 divide by 2
x = 52/2
x = 26 <<<<<<<<< answer
<1 = 124
<2 = 2x + 4 = 2*26 + 4
<2 = 52 + 4
<2 = 56 <<<<<<<< answer
We need choices if you want an exact answer.
Answer:
3
Step-by-step explanation:
Parallel lines have the same slope
So if line Q has a slope of 3
Line R which is parallel to Q must have a slope of 3
In general, the volume

has total derivative

If the cylinder's height is kept constant, then

and we have

which is to say,

and

are directly proportional by a factor equivalent to the lateral surface area of the cylinder (

).
Meanwhile, if the cylinder's radius is kept fixed, then

since

. In other words,

and

are directly proportional by a factor of the surface area of the cylinder's circular face (

).
Finally, the general case (

and

not constant), you can see from the total derivative that

is affected by both

and

in combination.
Answer:
-1562500
Step-by-step explanation:
15625 × (-2) + (-15625) × 98 = -31250 + (-1531250)
= -31250 - 1531250
= -1562500