Ask question

Ask question

All categories

1 year ago

5

Find the value of z.

1 answer:

omeli [17]1 year ago

8 0

Applying the angle of intersecting chords theorem, the value of z is: D. 100.

<h3>What is the Angle of Intersecting Chords Theorem?</h3>

According to the angle of intersecting chords theorem, in a circle like the one shown in the image above, where two chords intersect to form vertical angles, the theorem states that the angle formed equals half of the sum of the measures of the arcs intercepted by the angles.

Applying the angle of intersecting chords theorem, let's find x first:

73 = 1/2(96 + x)

Multiply both sides by 2

2 × (73) = 1/2(96 + x) × 2

146 = 96 + x

Subtract both sides by 96

146 - 96 = 96 + x - 96

50 = x

x = 50°

Therefore:

x + z + 96 + 114 = 360° [full circle measure]

Plug in the value of x

50 + z + 96 + 114 = 360

z + 260 = 360

Subtract both sides by 260

z + 260 - 260 = 360 - 260

z = 100°

The answer is: D. 100°.

Learn more about the angle of intersecting chords theorem on:

brainly.com/question/23732231

#SPJ1

You might be interested in

What numbers are divisible by 810

Andrews [41]

If only + numbers are acceptable, then the numbers divisible by 810 are represented by {810n}, where n = {0, 1, 2, 3, ... }

8 0

2 years ago

Questions on the images

KiRa [710]

Answer: A

Step-by-step explanation:

12 x 12 = 144

39 x 39 = 1521

1521 - 144 = 1377

root 1377 = 37.1

6 0

2 years ago

Read 2 more answers

What is the answer? Please help. Urgent.

MArishka [77]

Given:

A figure that contains a right triangular prism and cuboid.

To find:

The volume of the figure.

Solution:

The dimensions of cuboid are 16 in, 7 in and 3 in.

So, the volume of the cuboid is:

$V_1=Length\times Width \times height$

$V_1=16\times 7 \times 3$

$V_1=336$

The base of the prism is a right angle with base 3 in and height 5 in, and the length of the prism is 6 in. So, the base are of the prism is

$B=\dfrac{1}{2}\times Base\times Height$

$B=\dfrac{1}{2}\times 3\times 5$

$B=7.5$

The volume of a prism is:

$V_2=Bh$

Where, B is the base area and h is the height of the prism.

$V_2=(7.5)(6)$

$V_2=45$

The volume of combined figure is:

$V=V_1+V_2$

$V=336+45$

$V=381$

Therefore, the volume of the figure is 381 cubic in.

7 0

2 years ago

Stella works for a company that makes aluminum cans. A large soup can have a radius of 8 centimeters and a height of 20 centimet

4vir4ik [10]

Could possibly be 36

6 0

2 years ago

5x – 10 + 3x + 4 = 3(2x – 5) + 2x solve for x

Monica [59]

X = - 31/5 or X = -6.2

4 0

2 years ago