Abcd is a parallelogram find ab and bx.

Mathematics

1 answer:

Olin [163]2 years ago

6 0

In a parallelogram, opposite sides have the same length.
3x + 9 = 5x -5
group like terms on one side
9 + 5 = 5x -3x
14 = 2x
x is 7.
Since AB is 5x -5
AB = 5(7) -5
AB = 30.

BX is half of the line DB. So BX = DX
5y = 7y - 10
10 = 7y -5y
10 = 2y
y =5.
Since BX = 7y - 10
BX = 7(5) -10
BX = 25

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Help, please :) I really appreciate if you help me with steps as well, thanks! <3

BlackZzzverrR [31]

Answer:

Step-by-step explanation:

All we have to do here is to find the measure of the central angle; the measure of the central angle of a circle is the same measure as the arc it intercepts. Angle DQE in degrees = arc DE in degrees. Use the arc length formula to find the measure of the central angle:

$AL=\frac{\theta}{360}*2 \pi r$ and filling in:

$8.73=\frac{\theta}{360}*(2)(3.14)(10)$ which simplifies to

$8.73=\frac{62.8\theta}{360}$ which simplifies a bit more to

$\frac{360(8.73)}{62.8}=\theta$ so

$\theta=50.04$ degrees. That means that arc DE also measures 50.04 degrees.

8 0

2 years ago

Based on the information given, can you determine that the quadrilateral must be a parallelogram? Explain. Given XY = WZ and XW

Virty [35]

The best answer is Letter C - Yes, opposite sides are congruent.

If both pairs of opposite sides of a quadrilateral are congruent, then you'll always have two opposite pairs of parallel sides. Congruent means that they measure the same. Since two congruent sides separating the other pair of opposite sides must always keep those opposite lines the same distance apart, then, the opposite sides are also parallel.

8 0

2 years ago

ANSWER THIS QUESTION ASAP

Taya2010 [7]