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AysviL [449]
3 years ago
9

If triangle ghj is congruent to triangle lmk, with a scale factor of 5:6, find the perimeter of triangle ghj

Mathematics
1 answer:
3241004551 [841]3 years ago
6 0

Answer:  35


Step-by-step explanation:

1. By definition, the perimeter of a triangle is the sum of the lenght of each side.

2. Then, the perimeter of the triangle LMK is:

P_{LMK}=14+17+11\\P_{LMK}=42

3. If both triangles are congruent and the scale factor is 5:6 (Which you can rewrite as a fraction: 5/6), you must multiply the perimeter of the triangle   LMK by this scale factor.

4. Then, you have that the perimeter of the triangle GHJ is:

P_{GHJ}=42*\frac{5}{6}=35

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If a student answer 67 exam questions correctly out of 100,what fraction and what personage of question did the students answers
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Answer:

A and D

Step-by-step explanation:

67 right out of 100 for the fraction and 67/100 = 67%

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This should be simple, add the Amounts of snow for the first week
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3 years ago
Please help me understand this problem! I don’t understand the methods to understand how to solve it
Doss [256]

Answer:

Perimeter at the big rectangle is 156 cm.

Step-by-step explanation:

Let's see how to calculate it.

1. First of all you know that perimeter in the blue one is 20cm, so imagine this:

L (long side); S (short side)

2L + 2S =20

and we consider that L = 4S

So, solving the equation:

2.4S + 2S =20

10S=20

S=20/10

S=2

L=8

2. Side at the gold square is 8, the same at the long side in the blue rectangle. So, if you see on the right side in the big one, we got 2 + 8 + 8 + (?). Take a look to the green. Green square is the gold + a short piece and you can understand the short piece as 2 short sides from the blue. If we give numbers we have 8 + 2 + 2, 12.

Now, 2+8+8+12 = 30cm

3. Let's go to the long side in the big one.

We have long side from blue (8) and as you see, side at the orange square must be side at the yellow + short at the blue, so 8+2 =10. We have four oranges square so 10+10+10+10=40, and +8 =48

4. Now that we have the two sides in the big one, let's find the perimeter with the rectangle formula:

2L + 2S =P

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7 0
3 years ago
The perimeter of the flag is 2080 ft what is the flags width and length of the length is 420 ft greater than the width
hram777 [196]

Answer:

The length of the flag is 730 ft and the width is 310 ft

Step-by-step explanation:

<u><em>The correct question is</em></u>

The perimeter of the flag is 2080 ft what is the flags width and length <u>if</u> the length is 420 ft greater than the width

Let

L ----> the length of the flag

W ---> the width of the flag

we know that

The perimeter of the flag (rectangle) is equal to

P=2(L+W)

we have

P=2,080\ ft

so

2,080=2(L+W)

1,040=L+W ----> equation A

L=W+420 ---> equation B

Solve the system by substitution

substitute equation B in equation A

1,040=(W+420)+W

solve for W

1,040=2W+420

2W=1,040-420

2W=620

W=310\ ft

<em>Find the value of L</em>

L=W+420 ----> L=310+420=730\ ft

therefore

The length of the flag is 730 ft and the width is 310 ft

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3 years ago
Draw a rectangle with an area of 12 centimeters and a perimeter of 16 centimeters
lidiya [134]
All I can tell you is 12x16=192
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