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Len [333]
3 years ago
9

Find angle <QPS in the diagram​

Mathematics
1 answer:
marin [14]3 years ago
4 0

Answer:

40°

Step-by-step explanation:

Because triangle QSR is isosceles ∠SQR=∠SRQ=35°. The sum of the angles in a triangle is 180°, so ∠QSR=180°-35°-35°=110°. The measure of a straight line is 180°, so ∠PSQ=180°-110°=70°. Because triangle PSQ is also isosceles ∠PSQ=∠PQS=70°. Then, ∠QPS=180°-70°-70°=40°.

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What is the domain of the function y= square root x - 5 - 1
IrinaK [193]

Answer:

x\geq 5

Step-by-step explanation:

The function that we have to study in this problem is

y=\sqrt{x-5}-1

The domain of a function is defined as the set of all the possible values of x that the function can take.

For a square-root function, there are some limitations to the possible value of the argument in the root.

In particular, the argument of a square root must be equal or greater than zero, because the square root of a negative number is not defined.

Therefore, in this case, we have to set the following condition for the domain:

x-5\geq 0

And by solving, we get

x\geq 5

which means that the domain of this function is all real numbers equal or greater than 5.

5 0
3 years ago
If p - 5q = 4qr,<br> p<br> find the value of p when<br> q = 4 and r = -1.
den301095 [7]

Answer:

p - 5q = 4qr where

q = 4 and r = -1 by applying these value

p - 5(4) = 4(4)(-1)

p - 20 = -16

p = -16 + 20

p = 4

4 0
2 years ago
The revenue from selling x shirts is r(x) = 11x. The cost of buying x shirts is c(x) = 6x + 20. The profit from selling x shirts
oee [108]

Answer: option A is the correct answer.

Step-by-step explanation:

The expression that relates revenue, profit and cost is

Profit = Revenue - Cost

The revenue from selling x shirts is r(x) = 11x. The cost of buying x shirts is c(x) = 6x + 20. Therefore,

p(x) = r(x) - c(x)

p(x) = 11x - (6x + 20)

By expanding the bracket, the minus sign will alter each term in the bracket. Therefore,

p(x) = 11x - 6x - 20

p(x) = 5x - 20

8 0
3 years ago
What is the answer to the question -6=n+5n
iVinArrow [24]

Answer:

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4 0
3 years ago
Y(0.5+2) please help me on this !!!
Alecsey [184]

Answer:

0.5y+2y

Step-by-step explanation:

bc you divide out the y

7 0
3 years ago
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