What value of x would make the figure below a parallelogram? please show your work!

Mathematics

1 answer:

lara31 [8.8K]2 years ago

8 0

Answer:

x = 8

Step-by-step explanation:

Since the sum of all angles of a parallelogram is equal to 360 degrees, <Z + <Y is half of the parallelogram, and therefore <Z + <Y = 180 degrees.

16x-4 + 7x = 180, combine like terms

23x - 4 = 180, add 4 on both sides (isolate variable)

23x = 184, divide 23 on both sides

x = 8

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Kamila [148]

Answer:

Step-by-step explanation:

Area of circle = 56 cm²

πr² = 56

3.14r² = 56

r²=56/3.14

r²= 17.83

r = √17.83

r = 4.22 cm

The diameter of the circle = diagonal of the square

Diagonal of the square = 2 * 4.22 = 8.44 cm

x² + x² = 8.44²

2x² = 71.2336

x² = 71.2336/2

x² = 35.6168

x = 5.967 cm

5 0

3 years ago

A statue is mounted on top of a 16 foot hill. From the base of the hill to where you are standing is 77 feet and the statue subt

DanielleElmas [232]

Consider right triangle with vertices B - base of the hill, S - top of the statue and Y - you. In this triangle angle B is right and angle Y is 13.2°. If h is a height of the statue, then the legs YB and BS have lengths 77 ft and 16+h ft.

You have lengths of two legs and measure of one acute angle, then you can use tangent to find h:

$\tan 13.2^{\circ}=\dfrac{\text{opposite leg}}{\text{adjacent leg}} =\dfrac{16+h}{77}, \\ \\ 0.2345=\dfrac{16+h}{77},\\ \\ 16+h=0.2345\cdot 77=18.0565,\\ h=18.0565-16=2.0565$ ft.