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kakasveta [241]
3 years ago
10

What is the value of X?

Mathematics
1 answer:
lina2011 [118]3 years ago
4 0

Answer:

C. x=18

Step-by-step explanation:

note that PQ is the diameter of circle O. this means that angle QRP is a 90 degree angle. now we have 5x=90 so x=18

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Find the number of integral solutions of x+y +z = 12, where −3 ≤ x ≤ 4, 2 ≤ y ≤ 11, and<br> z ≥ 3.
SashulF [63]

There are 59 integer solutions

Such questions are best solved by writing cases and calculating the total number of cases. So beginning with

1)  x = -3. The possible combinations are as follows:-

-3 2 13

-3 3 12

-3 4 11

-3 5 10

-3 6 9

-3 7 8

-3 8 7

-3 9 6

-3 10 5

-3 11 4

10 combinations

2) x = -2

-2 2 12

through

-2 11 3

10 combinations

3) x = -1

-1 2 11

through

-1 10 3

9 combinations

4) x = 0

0 2 10

through

0 9 3

8 combinations

as we can see from the pattern at x =1  we get 7 combinations, at x =2  we get 6 combinations, at x=3 we get 5 combinations and at x =4  we get 5 combinations.

Thus total number of combinations 4+5+6+7+8+9+10+10 = 59 integer solution.

Learn more about combinations here :

brainly.com/question/13387529

#SPJ1

5 0
2 years ago
Which of the following statements best describes the effect of replacing the graph of f(x) with the graph of f(x) − 5? (1 point)
-Dominant- [34]
The entire graph is transformed 5 units down
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3 years ago
Help me with this one
kenny6666 [7]
672 hope that help we learned that this year
3 0
3 years ago
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The ratio of two less than a number to six more than that numver is 2 to 3. Find the number
inna [77]
Let x = number
2(x-2)=3(x+6)
2x-4=3x+18
2x-3x=18+4
-x=22
x=-22
5 0
3 years ago
Don’t know how to do this one pls help me if you can I would really appreciate it
KengaRu [80]

Answer:

PRICE IS 23.45

Step-by-step explanation:

Branlyist

6 0
3 years ago
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