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Tanya [424]
3 years ago
12

What is the value of x?

Mathematics
2 answers:
lorasvet [3.4K]3 years ago
6 0

Answer:

x=9

Step-by-step explanation:

We can use similar triangles and ratios.  Put the small triangle side over the large triangle side.

9cm            3x -20

----------   = ----------------    We need to add the sides to get to the larger triangle

72+9 cm   3x-20 + 56


We can cross multiply to solve

9 * (3x-20+56) = (72+9) * (3x-20)

Simplify

9*(3x+36) = 81*(3x-20)

Distribute

27x +324 = 243x -1620

Subtract 27x from each side

27x-27x +324 = 243x-27x -1620

324 = 216x-1620

Add 1620 to each side

324+1620 = 216x

1944 = 216x

Divide each side by 216

1944/216 = 216x/216

9=x

Art [367]3 years ago
6 0

Answer:

im not great at math but i think x=9

Step-by-step explanation:

9/72=0.125

72*0.125=9

so 56*0.125=7

therefore 3x-20=7

solve for x

3x - 20 = 7  

3x = 7 + 20  

3x = 27 (divide both sides by 3 to get x)  

3x/3 = 27/3  

x = 9  

......

.......

or you can try

56/72=0.77777777777

72*0.77777777777=56

so 9*0.77777777777=7

therfore 3x-20=7

solve for x

3x - 20 = 7  

3x = 7 + 20  

3x = 27 (divide both sides by 3 to get x)  

3x/3 = 27/3  

x = 9  

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Find the difference 42 2/3 - 34 1/8
Valentin [98]

Answer:

8 13/24

Step-by-step explanation:

42 2/3= 42 16/24

34 1/8= 34 3/24

42 16/24- 34 3/24= 8 13/24

4 0
3 years ago
Find the midpoint of PQ<br><br> P(4 1/3, 3 1/6), Q(-2 1/5, 3 2/3)
Paha777 [63]

Answer:

(1\frac{1}{15},3\frac{5}{12})

Step-by-step explanation:

To find the midpoint, you must average the x's then average the y's.

So the x's are 4 \frac{1}{3} and -2\frac{1}{5}.

The y's are 3\frac{1}{6} and 3\frac{2}{3}.

To find an average of a data with 2 elements you must add the two elements then take that sum and divide it by 2.

So this is what we will do with the x's then the y's.

So first x:

\frac{4\frac{1}{3}+-2\frac{1}{5}}{2}

Write as improper fractions:

\frac{\frac{13}{3}+\frac{-11}{5}}{2}

Division by 2 is the same as multiplying by 1/2:

\frac{13}{6}+\frac{-11}{10}

The least common multiple of 6 and 10 is 30.  We will multiply first fraction by 5/5 and 3/3 for the second so we can have the same denominator.

\frac{65}{30}+\frac{-33}{30}

Now that the bottoms are the same we can write as one fraction:

\frac{65+-33}{30}

Simplify:

\frac{32}{30}

If you want the answer as a mix fraction like your question began as we can do that by first figuring out how many 30's are in 32 and what is the remainder of that division.

There is one 30 and 32 and so 32-30=2 is the remainder.

1\frac{2}{30}

Reduce by dividing top and bottom by 2:

1\frac{1}{15}

Now for y:

\frac{3\frac{1}{6}+3\frac{2}{3}}{2}

Write the mix fractions as improper fractions:

\frac{\frac{19}{6}+\frac{11}{3}}{2}

Dividing by 2 is the same as multiplying by 1/2:

\frac{19}{12}+\frac{11}{6}

The least common multiple of 12 and 6 is 12 so I'm going to multiply the second fraction by 2/2 so the denominators will be the same:

\frac{19}{12}+\frac{22}{12}

Since the denominators are the same we can write as a single fraction:

\frac{41}{12}

How many 12's are in 41? 3 and so the remainder is 41-3(12)=41-36=5.

3\frac{5}{12}

So the midpoint is:

(1\frac{1}{15},3\frac{5}{12}).

6 0
3 years ago
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Which is better estimate for the volume of a tube of toothpaste 6 tablespoon 6 cups?​
Archy [21]

Answer:

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Step-by-step explanation:

It's more logical because tubes of toothpaste do not require such a large amount of toothpaste. Look at your toothpaste tube. I'm sure that it is closer to 6 tablespoons rather than 6 cups.

8 0
3 years ago
What is the answer to this inequality?<br> (x+7)&gt;80
Crank

Answer:

x > 73

Step-by-step explanation:

x+7 > 80

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x + 7 - 7 > 80 - 7

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-Chetan K

5 0
2 years ago
-3 - 8+ (-4) what is the answer??
Masja [62]
The answer to -3-8+(-4) is -15
7 0
3 years ago
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