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algol [13]
3 years ago
9

Use the diagram to find the measures of all the angles, given that mZ1 = 76º.

Mathematics
1 answer:
denis23 [38]3 years ago
8 0

Answer:

Here is a link to the answer sk3828su.com

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I’ve never been so confused, this is due in a few minutes, pls help if you can!
algol13

Given:

m(ar QT) = 220

m∠P = 54

To find:

The measure of arc RS.

Solution:

PQ and PT are secants intersect outside a circle.

<em>If two secants intersects outside a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.</em>

$\Rightarrow \angle P = \frac{1}{2} (m \ ar (QT) - m \ ar (RS ))

$\Rightarrow 54 = \frac{1}{2} (220- m \ ar (RS ))

Multiply by 2 on both sides.

$\Rightarrow 2 \times 54 = 2 \times  \frac{1}{2} (220- m \ ar (RS ))

$\Rightarrow 108= 220- m \ ar (RS )

Subtract 220 from both sides.

$\Rightarrow 108-220= 220- m \ ar (RS )-220

$\Rightarrow -112= -m \ ar (RS )

Multiply by (-1) on both sides.

$\Rightarrow (-112)\times(-1)= -m \ ar (RS )\times(-1)

$\Rightarrow 112= m \ ar (RS )

The measure of arc RS is 112.

6 0
3 years ago
When 0.5(20x – 50y + 36) – 0.25(–100x + 40y – 12) is simplified, what is the resulting expression?
stiks02 [169]

Answer:

<h2>35x - 35y + 21</h2>

solution,

0.5(20x - 50y + 36) - 0.25( - 100x + 40y - 12) \\  = 10x - 25y + 18  + 25x - 10y + 3 \\

Combine the like terms:

= 10x + 25x - 25y - 10y + 18 + 3 \\

Simplify:

35x - 35y + 21

Hope this helps...

Good luck on your assignment...

6 0
3 years ago
What is the distance , x , from the bottom of the sail to the stripe ? WORK SHOWNN!
Anon25 [30]
The answer is X = 15

3 0
3 years ago
Help on this please show my work ?
Mandarinka [93]
Factor the denominator
x^2+3x-10
(x+5)(x-2)

(x-2)/((x+5)(x-2))

The x-2 in the numerator and denominator cancel out.

Final answer: x+5
5 0
3 years ago
Solve for x. Show the equation you used and your work.
levacccp [35]
The value of X is 27.

To solve this problem, you have to write a proportion with the given information. This can be done because the sides on the left and right are proportional with the values on the bottom.

36 / 24 = x / 18
x = 27
5 0
3 years ago
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