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givi [52]
3 years ago
9

In the circle shown below T is the center of the circle, and segments PN and SQ are diameters, and segment PR is tangent to the

circle. The measure of angle SQN is 66 degrees
33 degrees
42 degrees
66 degrees
48 degrees

Mathematics
1 answer:
alina1380 [7]3 years ago
8 0
Angle SQN = 66 degrees (given)
----------------------------
Use the inscribed angle theorem to get

Minor Arc SN = 2*(angle SQN)
Minor Arc SN = 2*(66)
Minor Arc SN = 132 degrees
----------------------------
Arc PSN is a semicircle so it is 180 degrees, meaning that...

Arc PSN = (minor arc PS) + (minor arc SN)
180 degrees = (minor arc PS) + (132 degrees)
180 = (minor arc PS) + 132
180 - 132 = (minor arc PS) + 132 - 132
48 = minor arc PS
minor arc PS = 48 degrees
central angle RTP = minor arc PS = 48 degrees
----------------------------
Focus on triangle PTR; isolate angle PRT

(angle TPR) + (angle PRT) + (angle RTP) = 180
(90) + (angle PRT) + (48) = 180
(90+48) + (angle PRT) = 180
138 + (angle PRT) = 180
138 + (angle PRT) - 138 = 180 - 138
angle PRT = 42 degrees
----------------------------
----------------------------
Final Answer: 
The measure of angle PRT is 42 degrees

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Natalka [10]

Write a real-life situation that can be modeled by the expression 1/4 x 2/3.

7 0
2 years ago
Which ordered pair represents the solution to the system of equations? {−5x+7y=−196x−2y=10
k0ka [10]
Answer:
x = 1
y = -2

Explanation:
First, solve for x by subtracting 7y from both sides of the first equation and then divide both sides by -5.

-5x + 7y = -19
-5x + 7y - 7y = -19 - 7y
-5x = -19 - 7y
-5x/ -5 = -19 - 7y/ -5
x = -19 - 7y/ -5

Next, substitute the value of x into the second equation and solve.

6 - (-19 - 7y)/ 5 - 2y = 10
- 6(-19 - 7y)/ 5 - 2y = 10

Then, solve for y

- 6(-19 - 7y)/ 5 - 2y = 10
-6(-19 - 7y) - 10y = 50
114 + 42y - 10y = 50
144 + 32y = 50
32y = 50 - 144
32y = -64
32y/ 32 = -64/ 32
y = -2

Finally, substitute the value of y into the x value we found earlier and solve

x = - 19 - 7y/ 5
x = - 19 - 7 • -2/ 5
x = 1
8 0
3 years ago
Evaluate the following expression if x= 2.14<br> 3.35x + 25 - 2x
prohojiy [21]

Answer:

The final answer is 27.889 (Feel free to round it)

Step-by-step explanation:

3.35 x 2.14 = 7.169

7.169 + 25 = 32.169

2 x 2.14 = 4.28

32.169 - 4.28 = 27.889

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

3 0
3 years ago
Read 2 more answers
Given the function f(x) = -2x2 + 4x - 7, find f(-4).<br> -55<br> -7<br> 25
Neko [114]

Answer:

f(-4)= -55

Step-by-step explanation:

We want to find f(x), or y, when x is equal to -4.

Therefore, we can substitute -4 in for x in the function.

f(x) = -2x^2 + 4x - 7

Substitute -4 in for x

f(-4) = -2(-4^2) + 4(-4) - 7

Evaluate the exponent

f(-4)=-2(16)+4(-4)-7

Multiply -2 and 16

f(-4)= -32+4(-4)-7

Multiply 4 and -4

f(-4)=-32-16-7

Subtract

f(-4)=-55

7 0
3 years ago
Read 2 more answers
How many solutions does the equation
skelet666 [1.2K]

Answer:

The above equation has two solution !

x = 0 , x = 1

Step-by-step explanation:

[ Refer to the attachment ]

5 0
3 years ago
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