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3 years ago

Geography On Kenny's map, each

Mathematics

1 answer:

kkurt [141]3 years ago

5 0

Answer:

360 miles

Step-by-step explanation:

if each inch represents 30 miles and you need to find out how far 12 inches isyou need to multiply 30 x 12 = 360

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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

A car rental agency charges $120 per week plus $.12 per mile driven. How many miles did you drive if the total charge is $162?

777dan777 [17]

$\boxed{y=120+0.12x}\\
\\
y=162\\
\\
120+0.12x=162\\
\\
0.12x=162-120\\
\\
0.12x=42\\
\\
x=\frac{42}{0.12}\\
\\
\boxed{\boxed{x=350 \ miles}}$

7 0

3 years ago

I desperately need help!! Can someone please explain to me how to do these kinds of questions so i'll be able to get my score hi

Pani-rosa [81]

Adjacent angles<span> are two </span>angles<span> that have a common vertex and a common side.

<OPN and <TSP have a common side but do not have a common vertex.
<OPN and <RSU do not have a common side or a common vertex.
<OPN and <QPN are adjacent angles. They have a common side and a common vertex.
<OPN and <QPS have common vertex but do not have a common side.</span>

5 0

2 years ago

Read 2 more answers

Please help me solve this ;-;

Digiron [165]

9514 1404 393

Answer:

C log3(√((x -4)/x)

Step-by-step explanation:

The applicable rules of logarithms are ...

log(a/b) = log(a) -log(b)

log(a^n) = n·log(a)