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4vir4ik [10]
2 years ago
5

Algebra 2 help please.

Mathematics
1 answer:
Oksanka [162]2 years ago
4 0
\frac{\sqrt{4^{3}}\sqrt[3]{x}\sqrt{y}}{\sqrt{z}} * \frac{\sqrt[5]{y^{2}}\sqrt[3]{z}}{\sqrt{x^{4}}} * \frac{\sqrt[5]{x^{3}}\sqrt[4]{x^{6}}}{\sqrt[3]{y^{2}}}
\frac{\sqrt{64}\sqrt[3]{x}\sqrt{y}}{\sqrt{z}} * \frac{\sqrt[5]{y^{2}}\sqrt[3]{z}}{x^{2}} * \frac{x^{2}\sqrt[5]{x^{3}}\sqrt[4]{x^{2}}}{\sqrt[3]{y^{2}}}
\frac{8\sqrt[3]{x}\sqrt{y}}{\sqrt{z}} * \frac{\sqrt[5]{y^{2}}\sqrt[3]{z}}{x^{2}} * \frac{x^{2}\sqrt[5]{x^{3}}\sqrt[4]{x^{2}}}{\sqrt[3]{y^{2}}}
\frac{8\sqrt{y}\sqrt[3]{xz}\sqrt[4]{x^{2}}\sqrt[5]{x^{3}y^{2}}}{\sqrt{z}\sqrt[3]{y^{2}}}
\frac{8\sqrt{yz}\sqrt[3]{xy^{2}z}\sqrt[4]{x^{2}}\sqrt[5]{x^{3}y^{2}}}{y^{2}z}
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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
Identify the phrase that cannot be described by the same absolute value as the other three. Explain your reasoning.
r-ruslan [8.4K]
The answer would probably be 18 degrees below normal because the absolute values of the rest are 8 not 18 which is the absolute value of 18 degrees below normal.
6 0
3 years ago
Madison wants an equal amount of party favors for 6 or 8 people, what is the least number of party favors madison should make
Whitepunk [10]
The answer is 24 because the least common multiple of 6 and 8 is 24.
8 0
3 years ago
Kyle has a box that is 5 inches wide, 7 inches long, and a volume of 210 cubic inches. What is the height of the box?​
Molodets [167]

Answer:

it's 6

Step-by-step explanation:

my bad if u get it wrong or anything

7 0
2 years ago
The age of trees in a forest is known to be approximately normal with an average age of 40 years and a standard deviation of 10
Keith_Richards [23]

Answer: D. -0.6

Step-by-step explanation:

Z score formula= x-mean/ SD

34-40/10= -3/5= -0.6

6 0
3 years ago
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