For this case we have the following data:


So that the figure can be a rectangle, its diagonals must be equal, that is, 
In this way we have:

Clearing x we have:


Thus, x must be equal to 10 so that the figure is a rectangle.
Answer:

Option A
Answer:
The length of the flagpole be 41.2 ft .
Option (A) is correct .
Step-by-step explanation:
As given
The angle looking up at the sun is 70°.
A flagpole casts a shadow of 15 ft .
Now by using the trignometric identity .



BC = 15 ft
tan 70° = 2.75 (Approx)

AB = 2.75 × 15
= 41.2 ft
Therefore the length of the flagpole be 41.2 ft .
Option (A) is correct .
Answer:
∠ QPM = 68°
Step-by-step explanation:
The measure of the chord- chord angle QPM is half the sum of the arcs intercepted by the angle and its vertical angle, that is
∠ QPM =
( LM + LK )
=
( 76 + 60)°
=
× 136°
= 68°
1. Start out with y=mx+b. 'm' is the slope and 'b' is the y intercept.
2. Find where the line hits the y-axis on the graph. This will be your Y-Intercept.
3. Find where your line hits the X-axis. Now, count up or down from the x-axis until you get to the height of the y-point. now count across. Down/Up Divided by Across. This is your slope.
For Example, say that the line hits the Y-Axis at 4, and the line hits the X-Axis at -8. Count up from -8 till you get to the height of 4. It is 4. Now count across from that height. It is 8. Now, just put 4 on top of 8, to get 4/8. Simplify to 1/2. That is your slope. And since the line hit the Y-Axis at 4, 4 would be your Y-Intercept. Your final formula would be:
y=1/2x+4