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blsea [12.9K]
3 years ago
12

Solve for x ................

Mathematics
1 answer:
AleksandrR [38]3 years ago
5 0

Step-by-step explanation:

complementary angles are 90°,supplementary are 180°

(3x+25)+2x=180(supplementary angles)

2x +3x is 5x

5x=180-25=155

5x=155÷5=31

x=31

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X/42=15/7? proportion
Anvisha [2.4K]

Answer: x=90

Step-by-step explanation: Okay let's see! Let's solve your equation step-by-step.

x

42

=

15

7

Step 1: Cross-multiply.

x

42

=

15

7

x*(7)=(15)*(42)

7x=630

Step 2: Divide both sides by 7.

7x

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630

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x=90

6 0
3 years ago
Read 2 more answers
The vertices of triangle are A(-2 , 1 ) , B ( 2 , 2 ) and C ( 6 , -2 ) . Find the equation of the altitude of AD drawn from A to
krok68 [10]

Answer:

Given,

ABC is triangle with vertices A(-2,1), B(2,2) and C(6, -2)

Slope of BC(m_1) =\frac{y_2-y_1}{x_2-x_1}=\frac{6-2}{-2-2}

=\frac{4}{-4}=-1

Since AD is perpendicular to BC

let slope of BC be (m_2).

We have for perpendicular

m_1*m_2=-1

-1*m_2=-1

m_2=1

Now equation of line passing through point A(-2,1) is

y-y_1=m_2(x-x_1)

y-1=1(x-(-2))

y-1=x+2

y=x+2+1

y=x+3 which is a required equation of the altitude of AD drawn from A to BC.

7 0
3 years ago
What is the slope of the line that passes through the points (-9, -9) and (-6, -12)
max2010maxim [7]

Answer:

3/3

Step-by-step explanation:

x2 minus x1 over y2 minus y1

7 0
3 years ago
Out of a random sample of 2,000 people in the United States, 168 reported making more than $75,000 a year. Calculate the sample
Mandarinka [93]

Answer:

The sample proportion is 8.4%.

Step-by-step explanation:

The sample proportion f people in the United States who earn more than $75,000 each year is the number of people who reported earning more than $75,000 each year divided by the size of the sample.

The proportion is:

P = \frac{168}{2000} = 0.084

The sample proportion is 8.4%.

3 0
3 years ago
Niklas takes a dose of 25 micrograms of a certain supplement each day. The supplement has a half life of 4 hours, meaning that 1
MrRa [10]

Answer:

The amount of the supplement in Niklas' body immediately after the 12th dose is 4.30 micrograms.

Step-by-step explanation:

Half life is the time required for an element to decay into half of its initial size. The supplement has a half life of 4 hours means that it decay to half of its size every 4 hours. Therefore there are 6 stages of division in a day.

i.e     \frac{1}{2} × \frac{1}{2} × \frac{1}{2} × \frac{1}{2} × \frac{1}{2} × \frac{1}{2} =  \frac{1}{64}

The amount of the supplement in Niklas' body after the first dose (first day) can be determined by;

                   = \frac{1}{64} × 25

                  = 0.390625 micrograms

He used the supplement daily for 12 days (12th dose), but the amount of the supplement in his body immediately after the 12th dose would be;

                 amount in his body per day × number of period for complete decay

                   = 0.390625 × 11

                  = 4.296875

The amount of the supplement in Niklas' body immediately after the 12th dose is 4.30 micrograms. This is because immediately after the 12th dose, the supplement has not reach its half life.

3 0
3 years ago
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