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S_A_V [24]
2 years ago
6

Find the m2.

Mathematics
1 answer:
Lisa [10]2 years ago
8 0

9514 1404 393

Answer:

  d. m∠Q = 75 degrees

Step-by-step explanation:

The sum of the angles in a triangle is 180°. This triangle is marked to show it is an isosceles triangle, so the two base angles have the same measure.

  ∠P +∠Q +∠R = 180°

  x° +(2x +15)° +(2x +15)° = 180°

  5x = 150 . . . . . . . . . . . . . . . . . . . divide by °, subtract 30

  x = 30 . . . . . . . . . . . . . . . . divide by 5

  m∠Q = (2x +15)° = (2(30) +15)°

  m∠Q = 75°

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Complete the square on the following quadratic x2+10x+9=0
kakasveta [241]
Given a quadratic equation x^{2} +ax+c=0

1. the first thing we do when we want to compete the square, is write the coefficient of x as 2 times a number.

In our case the coefficient of x is 10, so we write 10 as 2*5

2. then we write + 5^{2} and - 5^{2} to the expression:

x^{2} +2*5*x+ 5^{2} -5^{2}+9=0

(x^{2} +2*5*x+ 5^{2}) -25+9=0

(x+5)^{2}-16=0



Answer: (x+5)^{2}-16=0
8 0
3 years ago
Out of a salary of $4500, I kept 1/3 as savings. Out of the remaining money, I spend 50% on food and 20% on house rent. How much
jeka94

Answer:

$2100

Step-by-step explanation:

1/3 of 4500 is 1500

to find 1/3 of a number is to multiply by 1/3

1/3 * 4500 = 1500

$1500 is for savings

subtract 1500 from 4500

4500 - 1500 = 3000

the remaining money is $3000

to find 50% of something, divide by 2

3000/2 = 1500

$1500 is spent on food.

20% of 3000 is 600

to find 20% of something, multiply the decimal value (0.2)

0.2 * 3000 = 600

$600 are spent on rent.

$450 leftover

1500 + 600 = 2100

Food and rent cost $2100

hope this helps:)

3 0
2 years ago
How many solutions does the equation y=3x have?
Butoxors [25]

Answer:

1 solution

Step-by-step explanation:

If you were to graph this line it would be a straight line so there is 1 solution.

y=3x

x=y/3

7 0
2 years ago
What is the greatest common factor of 32 and 96
nikitadnepr [17]
The greatest common fact or 32 and 96 is 2
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3 years ago
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Answer:

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3 years ago
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