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dalvyx [7]
3 years ago
8

Find the missing side length in the image below

Mathematics
1 answer:
Travka [436]3 years ago
5 0

Let missing side be x

Using basic proportionality theorem

\\ \sf\longmapsto \dfrac{45}{35}=\dfrac{x}{56}

\\ \sf\longmapsto \dfrac{9}{7}=\dfrac{x}{56}

\\ \sf\longmapsto 7x=9(56)

\\ \sf\longmapsto x=\dfrac{9(56)}{7}

\\ \sf\longmapsto x=72

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Express the product shown as a fraction in simplest form -3/7 dot -2/3 <br> please help
attashe74 [19]

The answer is \frac{2}{7}.

Multiple numerators by nums, and denoms by denoms.

\\\frac{-3}{7} · \frac{-2}{3}  = \frac{6}{21}

\frac{6}{21} simplified is \frac{2}{7}

Hope this helped and branluest would be appreciated

8 0
3 years ago
the sum of three numbers is 79. The second number is 5 times the first, while the third is 16 more than the first. Find the Numb
faust18 [17]
Let the 1st number be x; 2nd number be y; 3rd number be z.

x + y + z = 79

x = number we are looking for.
y = x * 5 ==> 5 times the first
z = x + 16 ==> 16 more than the first

Therefor,

x + (x * 5) + (x+16) = 79

1st step, multiply the 2nd number: x * 5 = 5x

x + 5x + x + 16 = 79

Add all like numbers:

7x + 16 = 79

To get x, transfer 16 to the other side and change its sign from positive to negative.

7x = 79 - 16
7x = 63

To get x, divide both sides by 7

7x/7 = 63/7
x = 9

To check. Substitute x by 9.

x + (x * 5) + (x+16) = 79

9 + (9 * 5) + (9 + 16) = 79
9 + 45 + 25 = 79
79 = 79 equal. value of x is correct.

4 0
3 years ago
Read 2 more answers
10a-7b+11+8a-b-12 help pleas
mars1129 [50]
Combine like terms: 18a - 8b -1
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3 years ago
Sandra buys stamps that cost $0.65 each she spends a total of $158.60 on the stamps. To determine how many stamps she buys, she
Hatshy [7]

Answer:

True

Step-by-step explanation:

When she divides both numbers, she can find out how many stamps she bought. When you solve the equation, we can see that she bought 244 stamps. We can check this by doing inverse operations. 244 x 0.65 (the price for each stamp) = 158.60

i hope that this helps you :)

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Find the volume of an object with a density of 3.1 g/ml and a mass of 12g<br> please show the work
hodyreva [135]
Density = Mass/Volume => Volume = Mass/Density = 12/3.1 = 3.87ml
8 0
3 years ago
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