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valentinak56 [21]
2 years ago
5

If the lengths of corresponding altitudes have the same ratio as the length of any pair of corresponding sides, the two triangle

s are similar.
always
sometimes
never
Mathematics
2 answers:
krok68 [10]2 years ago
4 0
Two triangles are similar if all corresponding sides are proportional.

Therefore, if it is given that sides are proportional, then the two triangles are similar.

This property of triangles is consistent and either true or false so sometimes is never an answer.

Since it is true , the answer is Always.
Lelechka [254]2 years ago
3 0

Answer:

answer always

Step-by-step explanation:

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The area of the rectangle is 64.8 square centimeters. What is the perimeter of the rectangle? One group of ten tenths and one gr
9966 [12]

Answer:

(a) Perimeter = 32.2\ cm

(b) 100

Step-by-step explanation:

Solving (a):

Given

Shape: Rectangle

Area = 64.8

Required

Calculate the perimeter.

Area is calculated as:

Area = L * W

Where

L = Length and W = Width

Substitute 64.8 for Area

64.8 = L * W

Make L the subject:

L = \frac{64.8}{W}

Perimeter is calculated as:

P = 2 * (L + W)

Substitute 64.8/W for L

P = 2 * (\frac{64.8}{W} + W)

P = \frac{129.6}{W} + 2W

To solve further, we take the derivative of P and set it to 0, afterwards.

dP = -\frac{129.6}{W^2} + 2

Set to 0

0 = -\frac{129.6}{W^2} + 2

Collect Like Terms

\frac{129.6}{W^2} = 2

Cross Multiply:

2W^2= 129.6

Divide through by 2

W^2 = 64.8

Take square roots

W = \sqrt{64.8

W = 8.05

Recall that:

L = \frac{64.8}{W}

So:

L= \frac{64.8}{8.05}\\

L= 8.05

The perimeter is:

Perimeter = 2 * (8.05 + 8.05)

Perimeter = 2 * (16.10)

Perimeter = 32.2\ cm

Solving (b):

Given

((1 Group of 10 tenths) and (1 group of 8 tenths))/(6 groups of 3 tenths)

Required

Solve

Tenths = \frac{1}{10}

So, the expression becomes:

((1 Group of 10 * \frac{1}{10}) and (1 group of 8 * \frac{1}{10}))/(6 groups of 3 * \frac{1}{10})

This gives:

((1 Group of \frac{10}{10}) and (1 group of \frac{8}{10}))/(6 groups of \frac{3}{10})

Group means product, so the expression becomes:

\frac{(1 * \frac{10}{10} \ and\ 1 * \frac{8}{10})}{6 * \frac{3}{10}}

And, as used here means addition

\frac{(1 * \frac{10}{10} +  1 * \frac{8}{10})}{6 * \frac{3}{10}}

Simplify:

\frac{(1 * 1 +  1 * 0.80)}{6 *0.30}

\frac{(1 +  0.80)}{1.80}

\frac{1.80}{1.80}

= 1.00

7 0
2 years ago
Apply the distributive property to create an equivalent expression. 1/3 (3j + 6) =
Wittaler [7]

Answer:

j + 2

Step-by-step explanation:

1/3 (3j + 6)

1/3 * 3j + 1/3 *6

j + 2

4 0
2 years ago
Apply the distributive property to factor out the greatest common factor. 12 + 20 =
guajiro [1.7K]

We can use prime factorization to find the GCF:

12 = 3^1 \cdot 4^1

20 = 4^1 \cdot 5^1


The greatest value both 12 and 20 share is 4. By factoring this out of the equation, we get:

4(3 + 5) = 4(8) = 32

6 0
2 years ago
A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the orange.
qwelly [4]
A = 0.9 o 
<span>so, </span>
<span>o = a/0.9 = 1.111a </span>
<span>so, the orange is 11% heavier than the apple. 

glad i could help(:</span>
6 0
2 years ago
Read 2 more answers
A graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo. A private contractor ch
slavikrds [6]

Answer:  50x+250=75x+100

Step-by-step explanation:

Given: A graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo.

Let x be the number of hours , then the total cost to create the logo plus is given by :-

C(x)=250+50x

A private contractor charges $75 per hour to develop a logo plus a $100 supply fee.

The total cost to develop logo plus is given by :-

c(x)=100+75x

The equation to represent the costs would be the same is given by :_

C(x)=c(x)\\\Rightarrow50x+250=75x+100

4 0
2 years ago
Read 2 more answers
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