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Marina CMI [18]
2 years ago
9

I have to find the value of x

Mathematics
1 answer:
Greeley [361]2 years ago
4 0

Answer:

x = 25

Step-by-step explanation:

A quadrilateral is inscribed in a circle, so it is a cyclic Quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

3x + 21y = 180°.....(1)

2x + 26y = 180°.....(2)

From equations (1) & (2)

3x + 21 y = 2x + 26y

3x - 2y = 26y - 21y

x = 5y

y = 1/5 x

Plug y = 1/5 x in equation (1)

3x + 21*1/5x = 180

15x + 21x = 180*5

(Multiplying both sides by 5)

36x = 900

x = 900/36

x = 25

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The Martinez family visit the aquarium and saw 483 salt water fish and 358 freshwater fish later that month workers moved 139 fi
VARVARA [1.3K]

Answer:

702

Step-by-step explanation:

The total number of Fish in the aquarium is got by adding up the

Number of Salt Water Fish, and

Number of Fresh water Fish

Number of Salt water Fish = 483

Number of Fres hwater Fish = 358

Total Fish in Aquarium = 483 + 358 = 841

Later, 139 were moved to a new aquarium, the number of fish remaining is 841 MINUS 139. That is:

841 - 139 = 702 fish remaining now

6 0
3 years ago
The average of 5 quiz grades is 10. When the lowest grade is dropped and the new average is calculated, it turns out to be 11. W
V125BC [204]

Answer:

The score of the dropped grade is 6

Step-by-step explanation:

To find the average of a set of numbers you need to add all the numbers and divide by how many numbers there are. The problem wants you to solve it in reverse. Let put this into an algebraic equation with a, b, c, d, and e being the variables of the test scores

(a+b+c+d+e)/5=10

Then we can multiply both sides by 5 and get

a+b+c+d+e=50

Lets assume that c is the lowest test score. To calculate the average of that we get

a+b+d+e/4=11

Doing the same thing, we know that a+b+d+e=44

Now compare the two:

a+b+c+d+e=50

a+b+d+e=44

We can now know that c=50-44=6

So, 6 is the score of the dropped quiz. Hope that helped!

4 0
3 years ago
How do you get the number 24 with the numbers 2,6,4,1
elena55 [62]

Answer:

(2+6)*(4-1) = 24

(2-1)*(6*4) = 24

(2-1)*6*4 = 24

(2-1)*(4*6) = 24

(2-1)*4*6 = 24

(6+2)*(4-1) = 24

6*(2-1)*4 = 24

6*(2-1)*4 = 24

6/(2-1)*4 = 24

6/(2-1)*4 = 24

3 0
3 years ago
What is the median of the ages in this stem-and-leaf plot? 43 45 46 47
ICE Princess25 [194]
To find a median of an even amount of numbers, add the two middle numbers, and divide by two.

45 + 46 = 91

91/2 = 45.5

45.5 is your median

hope this helps
6 0
3 years ago
Read 2 more answers
Write equation in function form 6-y=17x
Elanso [62]
6-y=17x \ \ |\ subtract\ 6\ to\ both\ sides \\\\-y=17x-6\ \ | \ multiply\ both\ sides\ by\ (-1)\\\\y=-17x+6


8 0
3 years ago
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