All categories

4 years ago

Find the missing side length, m.

Mathematics

1 answer:

algol [13]4 years ago

3 0

Answer:

$m=6$

Step-by-step explanation:

The Two triangles are Similar, so using the property of the similar triangles.

$\frac{m}{15} =\frac{4}{10}$

On cross multiplication of the fraction:

$10*m=4*15$

$10*m=60\\\\$

Dividing by '10' both the sides:

$\frac{10m}{10}=\frac{60}{10}$

$m=6$

So, the side(m) of the small triangle is '6'

You might be interested in

A cat's heart beats approximately 45 times in 15 second. at this rate how many times does the cat's heart beat per second?

stellarik [79]

Answer:

Step-by-step explanation:

Simple!

All you need to do is 45 divided by 15.

5 0

3 years ago

LaMia buys 133 stickers. The stickers come in packs of 19. How many packs does LaMia buy?

Digiron [165]

The correct answer for this question is this one: "So there are 7 packs of stickers that LaMia bought"

In order to answer this question, you have to:
Step 1:
Lamia has 133 stickers. It is known that in a pack, there are are 19 stickers.

Step 2:
We have to divide 133 by 19 in order to get the number of packs of stickers.
133 / 19 = 7

So there are 7 packs of stickers that LaMia bought

8 0

3 years ago

Trey has completed 36 deliveries so far this week. He needs to make 80 deliveries for the week. What percentage of deliveries ha

anygoal [31]

We must build the proportion

deliveries made : deliveries due = x : 100

in fact, we must express the fraction of work done as a fraction with denominator 100.

So, we have

$\dfrac{36}{80}=\dfrac{x}{100}\iff x=\dfrac{3600}{80}=45$

Trey has completed 45% of his work so far.

3 0

3 years ago

What is 1 and 1/6 minus 7/12 ?

Damm [24]

$1 \frac{1}{6} - \frac{7}{12} \\ 
 \\ 1 \frac{1}{6}= \frac{1x6+1}{6}= \frac{7}{6} \\ 
 \\ \frac{7x2}{6x2}= \frac{14}{12} \\ 
 \\ \frac{7x1}{12x1}= \frac{7}{12} \\ 
 \\ \frac{14}{12} - \frac{7}{12}= \frac{7}{12} \\ 
 \\ Solution: \frac{7}{12} 
$

7 0

4 years ago

Which of the following equations is direct variation? Y=2x,y=x+2,y=2,y=-2x-1

Andrew [12]

Answer:

y=2x

Step-by-step explanation:

Direct variation is such that y=kx where k is the rate of change. In direct variation the graph must cross the origin (0,0) meaning that the y-intercept is zero. The only equation that satisfies the definition of direct variation is y=2x.

3 0

3 years ago