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Vlad [161]
4 years ago
11

Find the value of X.

Mathematics
1 answer:
PilotLPTM [1.2K]4 years ago
4 0

As the complete angle is right angle that is 90°

So both the angles should add up to 90°

(3x+2) + (x+16)=90

combine the like terms

4x+18 = 90

Subtract 18 from both sides

4x= 72

divide both sides by 4

x=18

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Loan X has a principal of $10,000x and a yearly simple interest rate of 4%. Loan Y has a principal of $10,000y and a yearly simp
fenix001 [56]

Answer:

y=32, x=96

Step-by-step explanation:

The complete question in the attached figure

we know that

r=\frac{4x+8y}{x+y} ----> given problem

r=5\% ----> given problem

substitute the value of r in the expression

5=\frac{4x+8y}{x+y}

Simplify the expression

Multiply both sides by (x+y)

5(x+y)=4x+8y\\5x+5y=4x+8y\\5x-4x=8y-5y\\x=3y

So

In the table, just look for two values, one of which is three times the other

<u><em>Verify each number in the table</em></u>

1) For y=21 ----> x=3(21)=63

The value of 63 is not in the table

2) For y=32 ----> x=3(32)=96

The value of 96 is in the table

3) For y=51 ----> x=3(51)=153

The value of 153 is not in the table

4) For y=64 ----> x=3(64)=192

The value of 192 is not in the table

5) For y=81 ----> x=3(81)=243

The value of 243 is not in the table

6) For y=96 ----> x=3(96)=288

The value of 288 is not in the table

therefore

y=32, x=96

5 0
4 years ago
Please help I’ll mark brainlist
hram777 [196]

Answer:

8450 = P

Step-by-step explanation:

I = Prt

Where I is the interest , p is the principle, r is the rate and t is the time in years

2078.70 = P *8.2% * 3

Changing to decimal form

2078.70 = P *.082 * 3

2078.70 = P *.246

Divide each side by .246

2078.70/.246 = P *.246/.246

8450 = P

5 0
3 years ago
Read 2 more answers
Help me with this Geometry question please
balandron [24]

Answer:

b=2b-53  :  b=53. Then SU=53

Step-by-step explanation:

Solution

b=2b-53  :  b=53

Steps

If QU=b and SU=2b-53

That mean b=2b-53 because QU=SU

Substract 2b from both sides

b-2b=éb-53-2b

Simplify

-b=-53

Divide both sides by -1

-b/-1=-53/-1

Simplify

B=53

NOTE :  

Theorem 1: In a parallelogram, the opposite sides are of equal length. Theorem 2: If the opposite sides in a quadrilateral are the same length, then the figure is a parallelogram. Theorem 3: A quadrilateral is a parallelogram if and only if the diagonals bisect each other

Download docx
4 0
2 years ago
What is 20÷1÷[(10÷5)÷2]
marysya [2.9K]

Answer: 20


Step-by-step explanation:

Follow order of operations (PEMDAS)

20÷1÷[(10÷5)÷2]     Given

20÷1÷[(2)÷2]            Do 10÷5 in parenthesis

20÷1÷[(1)]                 Do (2)÷2

20÷1                        Do 1÷[(1)]

20                           Do 20÷1, and that is your answer


8 0
4 years ago
What!!!?!?! Could someone help me with the first two I don't understand and it's due tomorrow
Delicious77 [7]
If said number is x, that means that twice (2 times) a number and 2x-7=13. Adding 7 to both sides, we get 2x=20 and by dividing both sides by 2 we get x=10. For 2, we see that the sum of a number and 6 is first priority, so we have (x+6)*7=-43. Dividing both sides by 7, we get x+6=-43/7. After that, we subtract both sides by 6 to get -43/7-6=x
3 0
3 years ago
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