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Amanda [17]
3 years ago
6

Find the value of x by filling in the blanks in the provided statement- reason solution

Mathematics
1 answer:
fgiga [73]3 years ago
3 0

Answer/Step-by-step explanation:

Given:

m<MNQ = 132°

m<Q = 54°

m<P = 3x

1. m<MNQ = m<P + m<Q

Reason: exterior angle theorem of a triangle

Plug in the values

2. 132° = 3x + 54°

Reason: Substitution

3. x = 26

Reason: Algebra

132 - 54 = 3x (substraction property of equality)

78 = 3x

78/3 = x (division property of equality)

26 = x

x = 26

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Dmitrij [34]
4>-3
-2>-5
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5 0
3 years ago
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Substitute the values for a, b, and c into b2 – 4ac to determine the discriminant. Which quadratic equations will have two real
hoa [83]

Answer: 0=2x^2-7x-9\\0=4x^2-3x-1\\0=x^2-2x-8


Step-by-step explanation:

We know that the standard quadratic equation is  ax^2+bx+c=0

Let's compare all the given equation to it and , find discriminant.

1. a=2, b= -7, c=-9

b^2-4ac=(-7)^2-4(2)(-9)=49+72>0

So it has 2 real number solutions.

2. a=1, b=-4, c=4

b^2-4ac=(-4)^2-4(1)(4)=16-16=0

So it has only 1 real number solution.

3. a=4, b=-3, c=-1

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So it has 2 real number solutions.

4. a=1, b=-2, c=-8

b^2-4ac=(-2)^2-4(1)(-8)=4+32=36>0

So it has 2 real number solutions.

5. a=3, b=5, c=3

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Thus it does not has real solutions.



5 0
3 years ago
Read 2 more answers
(01.02) kim earns $30 for babysitting on friday nights. she makes an average of $1.25 in tips per hour. write the function of ki
defon
Y = 1.25x + 30 <== ur function

for 3 hrs.....x = 3
y = 1.25(3) + 30
y = 3.75 + 30
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8 0
3 years ago
There are 252 pieces of candy in a 14-ounce jar. How many pieces of candy are there per ounce in the jar?
djyliett [7]

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(252 pieces)/(14 ounces) = (252/14) pieces/ounce = 18 pieces/ounce

5 0
3 years ago
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steposvetlana [31]
That would be the cube root of (x+5)^11.

If desired, this could be reduced to the cube root of (x+5)^9*(x+5)^2, which would be 

(x+5)^3*(x+5)^(2/3)
7 0
3 years ago
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