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lisov135 [29]
3 years ago
12

The perimeter of a triangle with two equal sides is 46 cm. If it's base were lengthened by 3 cm and each leg were shortened by 5

cm, all three sides would be equal. Find the length of the base of the original triangle
Mathematics
1 answer:
lana66690 [7]3 years ago
3 0

Answer:

The original triangle has sides of 18 cm, 18 cm and 10 cm

Step-by-step explanation:

Let x cm be the length of the leg of the original triangle and y cm be the length of the base of the original triangle.

1. Since the perimeter of the original triangle is 46 cm, then

x+x+y=46.

2. If it's base were lengthened by 3 cm, then it becomes y+3 cm. If each leg were shortened by 5 cm, then each leg becomes x-5 cm. All three sides became equal, then

y+3=x-5.

3. Solve the system of two equations:

\left\{\begin{array}{l}2x+y=46\\x-5=y+3\end{array}\right.\Rightarrow \left\{\begin{array}{l}2(y+8)+y=46\\x=y+8\end{array}\right.,\ 2y+y=46-16,\ 3y=30,\ y=10\ cm.

Then x=10+8=18\ cm.

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slega [8]

Answer:

1/5

Step-by-step explanation:

<u>silk butterfly =    4cm=1 </u>  (this is the reduce form )

butterfly            20cm=5            

                                                           Also you will just divide this by 4

8 0
3 years ago
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. The volleyball team
almond37 [142]

Answer: After washing 20 cars together, each team will have raised the same amount in total.

Step-by-step explanation:

Let x represent the number of cars that each each teams will wash for them to raise the same amount in total.

The volleyball team gets $4 per car. In addition, they have already brought in $24 from past fundraisers. This means that the total amount raised by the volleyball team after washing x cars would be

4x + 24

The wrestling team has raised $84 in the past, and they are making $1 per car today. This means that the total amount raised by the wrestling team after washing x cars would be

x + 84

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4 0
3 years ago
27. TEMPERATURE Eleven Fahrenheit temperatures are shown on a map during
ser-zykov [4K]

Answer:

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Step-by-step explanation:

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1  2  3  4  5 6 7 8 9 10 11

6 0
3 years ago
What is the value of the expression? (-4.2)(2)+10
Crazy boy [7]
-8.4+10 = 10 - 8.4 = 1.6
8 0
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Read 2 more answers
Imagine the fire department had to evacuate the 25th floor of an office building. For firefighters to safely reach people at thi
joja [24]

Answer:

Check Explanation

Step-by-step explanation:

Some information required to answer this question is missing, but on a general basis, here goes the carefully researched response.

Majority of popular truck ladders are about 75 to 105 feet long. There are special truck ladders that reach up to 125 feet.

The length of a truck ladder is naturally limited by weight. The weight has to not be too much so that the truck can still move at a good enough speed on the roads. The weight of these ladders are primarily dependent on the strength of the metal used to make them.

At the top of these ladders, on a windy day, eind interference can cause the ladder to move back and forth all over the place, rhereby endamgerimg lives further and using a light material because we want the truck to still be able to move, will not work because light ladders especially, are easily carried by wind.

The 105-foot aerial ladder can reach 7 to 8 floors depending on the height of the floors.

The 25th floor of an office building can be accessed using a ladder that is about 225 ft long and that simply, is not feasible at all to manufacture this ladder considering the required weight and how too far away in the air this ladder would be, there would be little or no control over this.

Hence, a more realistic solution would be an helicopter that is steadied to slowly get people out of that floor.

Also, if the elevators or stairs are still accessible, these are better alternatives than a 225 ft long ladder aiming to reach the 25th floor.

Hope this Helps!!!

4 0
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