All categories

2 years ago

The perimeter of the triangle shown to the right is 143 meters. Find the length of each side.

Mathematics

1 answer:

snow_lady [41]2 years ago

4 0

Hello!

First:

write an equation.

5x + (7x+8) + (7x+2) = 143

now combine like terms

19x + 10 =143

now subtract 10 from both sides

19x = 133

divide 19 on both sides.

x = 7.

Are you done here? Nope, we need to find out what each side is, so lets plug in the number 7 for x.

-----------------------------

For the side 5(x)

5(7) = 35

This side is 35m

-----------------------

For the side 7x + 2

7(7) + 2

49 + 2

This side is 51m

------------------------

For the side 7x + 8

7(7) + 8

49 + 8

This side is 57m.

------------------------

I hope this helps,

Have a great day!

You might be interested in

An airliner maintaining a constant elevation of 2 miles passes over an airport at noon traveling 500 mi/hr due west. At 1:00 PM,

butalik [34]

Answer:

$\frac{ds}{dt}\approx 743.303\,\frac{mi}{h}$

Step-by-step explanation:

Let suppose that airliners travel at constant speed. The equations for travelled distance of each airplane with respect to origin are respectively:

First airplane

$r_{A} = 500\,\frac{mi}{h}\cdot t\\r_{B} = 550\,\frac{mi}{h}\cdot t$

Where t is the time measured in hours.

Since north and west are perpendicular to each other, the staight distance between airliners can modelled by means of the Pythagorean Theorem:

$s=\sqrt{r_{A}^{2}+r_{B}^{2}}$

Rate of change of such distance can be found by the deriving the expression in terms of time:

$\frac{ds}{dt}=\frac{r_{A}\cdot \frac{dr_{A}}{dt}+r_{B}\cdot \frac{dr_{B}}{dt}}{\sqrt{r_{A}^{2}+r_{B}^{2}} }$

Where $\frac{dr_{A}}{dt} = 500\,\frac{mi}{h}$ and $\frac{dr_{B}}{dt} = 550\,\frac{mi}{h}$ , respectively. Distances of each airliner at 2:30 PM are:

$r_{A}= (500\,\frac{mi}{h})\cdot (1.5\,h)\\r_{A} = 750\,mi$

$r_{B}=(550\,\frac{mi}{h} )\cdot (1.5\,h)\\r_{B} = 825\,mi$

The rate of change is:

$\frac{ds}{dt}=\frac{(750\,mi)\cdot (500\,\frac{mi}{h} )+(825\,mi)\cdot(550\,\frac{mi}{h})}{\sqrt{(750\,mi)^{2}+(825\,mi)^{2}} }$

$\frac{ds}{dt}\approx 743.303\,\frac{mi}{h}$

6 0

3 years ago

The electron configuration for Helium (He) is shown below. 1s2 Which diagram shows the correct distribution of electrons in the

AURORKA [14]

Answer:

what is the question comments me

7 0

3 years ago

Read 2 more answers

HELP IM TIMED!!!!

Tems11 [23]

The answer is (0,-6)

5 0

1 year ago

Explain why the following answer is not correct: 1,000/5=2,000

Tatiana [17]

Well, 1000/5 would be smaller than 2000 not bigger. You are dividing into smaller pieces not multiplying into bigger ones.

7 0

3 years ago

Blake has a glass tank. First, he wants to put some marbles in it, all of the same volume. Then, he wants to fill the tank with

NeTakaya

Answer:

32 liters is the volume of the glass tank

3 0

2 years ago