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VLD [36.1K]
3 years ago
5

2. Find mzR and mzS. 89° R 157 T Р

Mathematics
1 answer:
baherus [9]3 years ago
5 0

Answer:

m∠R = 123°

m∠S = 91°

Step-by-step explanation:

The measure of an inscribed angle is 1/2 the measure of the intercepted arc

m of arc QRS = 2 m∠P = 2(57) = 114

Now m of arc SPQ = 360 - 114 = 246

So, m∠R = 1/2(246) = 123

m of arc RSP = 2 m∠Q = 2(89) = 178

m of arc PQR = 360 - 178 = 182

m∠S = 1/2(182) = 91

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A group of artists is selling small prints to raise money for charity. They sell p prints, and make a profit of f(p) on the sale
MrRissso [65]

Answer:

Statement A is true.

Step-by-step explanation:

A. If the group sells 15 prints, they will lose $85.

B. If the group sells 12 prints, they will lose $204.

C. If the group sells 35 prints, they will make $935.

D. If the group sells 28 prints, they will lose $136.

f(p) = 17p - 340

p = prints

f(p) = profit

Let's check the statements to see which one is true.

A. 17.15 - 340 = - 85 OK!

B. 17.12 - 340 = -136 (false, they will lose $136)

C. 17.35 - 340 = 255 (false, they will make $255)

D. 17.28 - 340 = 136 (false, they will make $136)

3 0
3 years ago
A giraffe's height is 5 meters 40 centimeters. <br><br> How tall is the giraffe in millimeters?
nika2105 [10]

Answer:

5400 mm

Step-by-step explanation:

3 0
3 years ago
Find the value of z in the similar figures (round to the nearest tenth)
MrRa [10]
As they are similar figures,we can use the ratio of the side to find out the value of z.

The only side that both have the value indicated is 4 and 6,therefore we would use it to find the ratio.

The eqaution would be:
6/4 = z/8
3/2 = z/8
3×8 = 2z
z = 24/2
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Thus the value of z is 12.

Hope it helps!
4 0
3 years ago
The difference between the squares of two consecutive numbers is 23. what are the two numbers?
Ksju [112]

(x+1)^2-x^2=23

x^2+2x+1-x^2=23

2x+1=23

2x=22

x=11

11^2 = 121

x+1 =12

12^2=144

144-121 = 23

4 0
3 years ago
1 and 16/24 + 1 and 21/24
AlexFokin [52]

Answer:

turn into improper fractions

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1*24+21=45

45/24

40/24+45/24=85/24

work out how many times 24 goes into 85 to get back to a mixed number.

24 goes into 85 three times with 13 left over so the answer is

3 and 13/24

6 0
3 years ago
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