the larger angle of two complementary angles is four times as large of the smaller angle find the measurement of the smaller angle

Answers

Answer 1

Answer: The answer is: 18° .
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Explanation:
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x + 4x = 90 ; solve for "x"
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5x = 90 ;
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Divide EACH SIDE of the equation by "5"; to isolate "x" on one side of the equation; and to solve for "x" ;
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5x / 5 = 90 / 5 ;
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x = 18 ; The answer is: 18° .
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What is the sum of two solutions of the quadratic equation ax^2+bx+c=0

Answers

if we were to use the quadratic formula, we would get that the roots are

$(-b\pm√(b^2-4ac))/(2a)$

or that the 2 seperate roots are

$(-b+√(b^2-4ac))/(2a)$ and $(-b-√(b^2-4ac))/(2a)$

if we sum these, then the $√(b^2-4ac)$ bits will cancel and we wil be left with

$(-b-b)/(2a)$ or $(-2b)/(2a)$ or $(-b)/(a)$

the sum of the solutions is $(-b)/(a)$

Try this option:

According to the properties of the quadratic equation the sum of its roots is '-b', in other words x₁+x₂= -b

Answer: -b

5. Water is flowing from Tower #1 to Tower #2 in the diagram below at a rate of 20 gallons perminute. Initially, Tower #1 contained 1650 gallons and Tower #2 contained 570 gallons.
(a) How many gallons does each tower contain after 5
minutes? Show your work.

Answers

9514 1404 393

Answer:

Tower #1: 1550 gallons
Tower #2: 670 gallons

Step-by-step explanation:

After 5 minutes, the amount of water that has flowed is ...

(20 gal/min)(5 min) = 100 gal

That amount has flowed out of Tower #1, so it now has ...

1650 -100 = 1550 . . . gallons in Tower #1

That amount has flowed into Tower #2, so it now has ...

570 +100 = 670 . . . gallons in Tower #2

Calculate|4+7π| . The absolute value of 4+7π is equal to the square root

Answers

|4 + 7π| = 4 + 7π

Absolute value means distance from 0, and the distance of 4 + 7π from 0 is 4 + 7π

Ms Adams shares out 36 pencils between Niamh and jack in the ratio 4:8 How many pencils does each get?

Answers

Answer:

Niamh gets 12 and Jack gets 24.

Step-by-step explanation:

4:8 is equal to 1:2. 1 part + 2 parts is equal to 3 parts, which is equal to the whole. 36 is the whole, so 36/3 is equal to 12. 1 * 12 is equal to 12, and 2 * 12 is equal to 24.

Answer:Adam gets 12 and nidam gets 24..

Step-by-step explanation:feel pleasure to help u..

Which expression is equivalent to 6(2x+5y)

Answers

6(2x + 7y) = 6(2x) + 6(7y) = 12x + 42y

12x+42y is equivalent to 6(2x+5y)

15 + x ≤ –45 solve using inverse opertation

Answers

I believe the answer is x ≤ -60.

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