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ser-zykov [4K]
2 years ago
14

an angle is 10 degrees more than 3 times the measure of its compliment. find the measure of both angles

Mathematics
1 answer:
ikadub [295]2 years ago
4 0

Answer:

20° and 70°

Step-by-step explanation:

complimentary angle sum to 90°

let x be the compliment then the angle is 3x + 10 , so

x + 3x + 10 = 90 , that is

4x + 10 = 90 ( subtract 10 from both sides )

4x = 80 ( divide both sides by 4 )

x = 20

3x + 10 = 3(20) + 10 = 60 + 10 = 70

the 2 angle measures are 20° and 70°

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Anuta_ua [19.1K]

Answer:

17

Step-by-step explanation:

since you are subtracting a negative number it reverses, so you actually ADD the two together

so, 12 1/2 + 4 1/2

add the whole numbers first;

12+4=16

then fractions:

1/2 + 1/2= 1

then all together;

16+1=17!

7 0
3 years ago
Use the Distributive Property to rewrite each expression. <br><br> -7 (5 - n)
daser333 [38]
The answer is

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8 0
3 years ago
Maria has added 2 liters of pure alcohol to 8 liters of a 48% alcohol solution. What is the alcohol concentration of the resulti
ss7ja [257]

Answer:

The alcohol concentration of the resulting solution is 58.4%

Step-by-step explanation:

- At first we must to find the quantity of pure alcohol in the 8 liters

∵ The alcohol concentration is 48% in 8 liters

∴ The quantity of pure alcoholic = \frac{48}{100}*8=3.84 liters

- She added 2 liters pure alcohol to the solution that means the solution

  increased by 2 liters and alcohol quantity increased by 2 liters

∵ She added 2 liters pure alcohol

∴ The quantity of pure alcohol = 2 + 3.84 = 5.84 liters

∴ The resulting solution = 2 + 8 = 10 liters

- Now we need to find the concentration of alcohol in the resulting

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∵ The quantity of pure alcohol = 5.84 liters

∵ The resulting solution = 10 liters

∴ The concentrate of alcohol = \frac{5.84}{10}*100 % = 58.4%

The alcohol concentration of the resulting solution is 58.4%

5 0
4 years ago
Read 2 more answers
What value of x is in the solution set of 2(3x-1) ≥4x-6​
astra-53 [7]

Answer:

\large\boxed{x\geq-2\to x\in[-2,\ \infty)}

Step-by-step explanation:

2(3x-1)\geq4x-6\qquad\text{use distributive property}\ a(b-c)=ab-ac\\\\(2)(3x)-(2)(1)\geq4x-6\\\\6x-2\geq4x-6\qquad\text{add 2 to both sides}\\\\6x\geq4x-4\qquad\text{subtract 4x from both sides}\\\\2x\geq-4\qquad\text{divide both sides by 2}\\\\x\geq-2

4 0
3 years ago
john bought a full basket of mangoes when he got home he realised 12 out of the 20 mangoes he bought are bad what is the probabi
lara31 [8.8K]
12/20 mangoes are bad so 8/20 mangoes are good and to convert to a percentage we make the denominator 100.
To make 20 to 100 we times by 5 so we do the same to the numerator which is 8
So 8x5 = 40%
Give me brainliest answer plz
And hope it helps!
6 0
3 years ago
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