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3 years ago

HELP PLZ WILL GIVE BRAINLIEST

Mathematics

1 answer:

makkiz [27]3 years ago

5 0

I find it easier just to graph this sort of question rather than multiply it all out.

x = 3.5

_____
(x^2 +2x +1) -(x^2 -6x +9) = 20
.. 8x -8 = 20
.. x = 28/8 = 3.5

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AM is a median in △ABC (M∈ BC ). A line drawn through point M intersects AB at its midpoint P. Find areas of △APC and △PMC, if A

Snowcat [4.5K]

Answer:

The area of APC is 70m². The area of triangle PMC is 35m².

Step-by-step explanation:

Let the area of triangle ABC be x.

It is given that AM is median, it means AM divides the area of triangle in two equal parts.

$\text{Area of }\triangle ACM=\text{Area of }\triangle ABM=\frac{x}{2}$ .....(1)

The point P is the midpoint of AB, therefore the area of APC and BPC are equal.

$\text{Area of }\triangle APC=\text{Area of }\triangle BPC=\frac{x}{2}$ ......(2)

The point P is midpoint of AB therefore the line PM divide the area of triangle ABM in two equal parts. The area of triangle APM and BPM are equal.

$\text{Area of }\triangle APM=\text{Area of }\triangle BPM=\frac{x}{4}$ .....(3)

The area of triangle APM is 35m².

$\text{Area of }\triangle APM=\frac{x}{4}$

$35=\frac{x}{4}$

$x=140$

Therefore the area of triangle ABC is 140m².

Using equation (2).

$\text{Area of }\triangle APC=\frac{x}{2}$

$\text{Area of }\triangle APC=\frac{140}{2}$

$\text{Area of }\triangle APC=70$

Therefore the area of triangle APC is 70m².

Using equation (3), we can say that the area of triangle BPM is 35m² and by using equation (2), we can say that the area of triangle BPC is 70m².

$\triangle BPC=\triangle BPM+\triangle PMC$

$70=35+\triangle PMC$

$35=\triangle PMC$

Therefore the area of triangle PMC is 35m².

8 0

3 years ago

Lines l and m are parallel

soldi70 [24.7K]

Answer:

m∠ABC = 15°

Step-by-step explanation:

Given

m∠ABC = x°
m∠BCD = 25°
m∠CDE = 55°
m∠DEF = 3x°

Add two more parallel lines passing through points C and D.

Consider alternate interior angles formed by the four parallel lines.

The angles between the two middle lines are equal to:

m∠BCD - m∠ABC = m∠CDE - m∠DEF

Substitute values and solve for x:

25 - x = 55 - 3x
3x - x = 55 - 25
2x = 30
x = 15

m∠ABC = 15°

4 0

2 years ago

What is the value of the exponent when simplifying the following expression: 16^1/2•16^1/2

pantera1 [17]

Answer:

Step-by-step explanation:

because they have the same base and it's a multiplication so you have to add the exponents

6 0

2 years ago

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The manufacturer of an energy drink spends $1.20 to make each drink and sells them for two dollars the manufacturer also has fix

dimulka [17.4K]

Let X be the number of energy drinks sold.

The manufacturer of an energy drink spends $1.20 to make each drink and sells them for two dollars the manufacturer also has fixed cost each month of $8000.

The manufacturing cost for X energy drinks is