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barxatty [35]
3 years ago
9

Write a proportionality statement for the following triangles:

Mathematics
1 answer:
EleoNora [17]3 years ago
4 0

Answer:

AB/LM = BC/MN = AC/LN

Step-by-step explanation:

A proportionality statement is when you take all the sides of a triangle with its corresponding side and slap it into a proportion. Make sure the order of your letters is correct.

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Help please if anyone knows
larisa86 [58]
<u>Part A
</u>
<u />To estimate this, we should first look at our fractions and see if they can be combined to form a whole number. In this case, \frac{3}{5} and \frac{2}{3} equal approximately 1. We can add this "1" to the other to full gallons to estimate that the painter needs about 3 gallons.

<u>Part B
</u>
<u /><u />To find the exact amount, we should first change the mixed numbers to improper fractions. We do this by multiplying the denominator by the whole number, adding the numerator, and placing that value over the denominator.

1 \frac{3}{5} \\ \\  (5*1)+3 =8 \\  \\  \frac{8}{5}  \\  \\  \\ \\  1 \frac{2}{3} \\  \\ (3*1)+2=5 \\  \\  \frac{5}{3}  &#10;

Now, we need to find the least common denominator. This is the lowest value that both denominators will divide evenly into. In this case, that number is 15.

Next, we should multiply both fractions so that the denominator is that number. Remember that we must also multiply the numerator for the fraction to remain equivalent to its original value.

\frac{8}{5} *3 =   \frac{24}{15} \\  \\  \frac{5}{3} *5 =  \frac{25}{15}

Now, we can simply add our numerators.

25+24=49

We know that he needs \frac{49}{15} gallons of paint, but this is not in the most simplified format. To simplify, we need to turn our improper fraction back to a mixed number. To do this, we need to divide our numerator by the denominator to create our whole number, and the remainder becomes our new numerator.

\frac{49}{15} \\  \\ 49 / 15 = 3(Remainder: 4) \\  \\  3\frac{4}{15}

Using that logic, we can see that the painter needs exactly 3 \frac{4}{15} gallons of paint.    
4 0
3 years ago
Alex has 3,330 toothpicks . He wants to use them all to make a floor mat with 18 equal rows . How many toothpicks should Alex us
Rudik [331]

Answer:

Step-by-step explanation:

for this problem we have to

3330/18=185 toothpicks for each row

6 0
3 years ago
Read 2 more answers
What is the mode for the set of values? 5 9 1 2 7 3 1 8 8 1 3
KiRa [710]

The mode is the number repeated most often, so if we arrange these numbers in order, we can see what numbers repeat the most-

1 1 1 2 3 3 5 7 8 8 9

The number that repeats the most is 1

(1 counted 3 times)

(3 counted twice)

(8 counted twice)

6 0
3 years ago
Read 2 more answers
What operation should be performed first in the expression 18-2 2+5x(16- 66 didved 3)
Kay [80]
18 - 22 + 5x(66:3)
= 18 - 22 + 5x22
= -4 + 110
= 77
Give me a comment and a thank :))))
4 0
3 years ago
Read 2 more answers
A music school charges a registration fee in addition to a fee per lesson. Write an equation if each lesson costs $40 and a regi
Jobisdone [24]
T = total cost for music school
L = # of lessons

T = $1,190 + ($40 × L)
T = $1,190 + ($40 × 12)
T. = $1,190 + $480
T = $ 1,670 for 12 lessons
3 0
3 years ago
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