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mariarad [96]
4 years ago
13

Identify the measure of arc PR.

Mathematics
1 answer:
Pavel [41]4 years ago
3 0

Answer: 90 degrees

Step-by-step explanation:arcs qr and ts are vertical angles so they are the same amount. then take half the circle 180 degrees subtract 90 and that's your answer since 90 is half of 180 90 is your final answer

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Alonzo invested his savings in two investment funds. The amount he invested in Fund A was $2000 less than the amount he invested
alina1380 [7]

Answer:

There were $13,200 in Fund B.

Step-by-step explanation:

We are given the following in the question:

Let x be the amount in Fund A and y be the amount in Fund B.

The amount he invested in Fund A was 2000$ less than the amount he invested in Fund B.

Thus, we can write the equation:

x = y -2000

Profit percent on Fund A = 7%

Profit percent on Fund B = 8%

Total profit = $1960

Thus, we can write the equation:

7\%(x) + 8\%(y) = 1960\\7x + 8y = 196000

Solving the two equations by substitution, we get,

7(y-2000) + 8y = 196000\\\Rightarrow 15y = 198000\\\Rightarrow y = 13200\\\Rightarrow x = 11200

Thus, there were $13,200 in Fund B.

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3 years ago
Help me with volumes image: <br> Show work
Bas_tet [7]

(2x2x1)/2= 2

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6 0
3 years ago
Simplify (x - y)² - x + y​
allochka39001 [22]

Answer:

(x-y)(x-y-1)

Step-by-step explanation:

1.(x - y)² - x + y​ = (x - y)² - (x - y )

2.(x-y) [( x-y) - ( 1 ) ]​

3.(x-y)(x-y-1)

8 0
4 years ago
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Some helps ASAP plss!!!
larisa86 [58]
Answer: D Triangle EFG

Hope this helps and congruent means the shaped that are same in shape and size
4 0
3 years ago
Find the missing length of the triangle.
Dafna1 [17]
There are special properties to certain right triangles.

A 3-4-5 triangle will always be a right triangle. 9 divides into 3, and 15 divides into 5, so you can use ratios to find b.

Since 9 divides into 3, we will use this to set up proportions for the missing value:

\frac{9}{3} =  \frac{b}{4}

Cross multiply the fractions.

3b = 36

Divide both sides by 3.

b = 12

The missing value is 12.
4 0
3 years ago
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