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3 years ago

Draw a pair of opposite rays

Mathematics

1 answer:

pav-90 [236]3 years ago

3 0

Here is the answer to your question

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Find the length of dm in the given fig.

lesya692 [45]

Answer:

$DM=12$

Step-by-step explanation:

(Let the point where the altitude from $D$ intersects $AB$ be called as point $E$ .) First, let's find the area of parallelogram $ABCD$ . The area of a parallelogram is simply $b*h=bh$ , where $b$ is the parallelogram's base and $h$ is the parallelogram's height. If we let $AB$ and $DE$ be the base and height respectively, since we are already given their lengths, we know that the area of parallelogram $ABCD$ will be $AB*DE=15*8=120$ .

Now, how does this information matter, you might ask? Well, we can take either $AB$ or $CB$ to be the base and either $DE$ or $DM$ to be the height. In this case, let's take the latter two options, as we are looking to find the length of $DM$ .

Therefore, we know that the area of parallelogram $ABCD$ can also be found by calculating $CB*DM$ . Since we know the values of the area and $CB$ , we can write the following equation to solve for $DM$ :

$Area = CB*DM$

$120=10*DM$ (Substitute $Area=120$ and $CB=10$ into the equation)

$\frac{120}{10}=\frac{10*DM}{10}$ (Divide both sides of the equation by $10$ to get rid of $DM$ 's coefficient)

$12=DM$ (Simplify)

$DM=12$ (Symmetric Property of Equality)

Hope this helps!

4 0

3 years ago

A cylindrical paint can has a capacity of one gallon. for another size can, the height is doubled. what is the capacity of the l

skelet666 [1.2K]

We know that

[volume of a cylindrical paint can 1]=[area of the base]*h
so
[area of the base]*h=1 gallon

if the height is doubled
[volume of a cylindrical paint can 2]=[area of the base]*(2*h)
[volume of a cylindrical paint can 2]=2*{[area of the base]*h)}
[volume of a cylindrical paint can 2]=2*[volume of a cylindrical paint can 1]
[volume of a cylindrical paint can 2]=2*[1 gallon]-----> 2 gallons

the answer is
the capacity of the lager one is 2 gallons

4 0

3 years ago

If A, B, and C are collinear, and AB = 18, AC = 41, what is a possible measure of BC?

ikadub [295]

Step-by-step explanation:

As ANC are collinear,

AB+BC=AC

so,

18+BC = 41

BC = 41-18

BC = 23 is the answer.

8 0