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Anvisha [2.4K]
2 years ago
9

Find the length of the missing side please help

Mathematics
1 answer:
kozerog [31]2 years ago
7 0

Step-by-step explanation:

7. Since they are similar triangles we have:

\frac{10}{8}  =  \frac{x}{12}  \\  \\ x = 15

So DF is 15

8. They are also similar. So:

\frac{14}{7}  =  \frac{x}{5}  \\ x = 10

So PR is 10

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3 years ago
-4(x - 2) - 3x = 2(5x - 7) + 6
Allisa [31]

Answer: last option.

Step-by-step explanation:

To apply the Distributive property, remember that:

c(a-b)=ca-cb

Then, applying this, you get:

-4(x - 2) - 3x = 2(5x - 7) + 6\\\\(-4)(x)+(-4)(-2)-3x=(2)(5x)+(2)(-7)+6\\\\-4x+8-3x=10x-14+6

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3 years ago
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Alex_Xolod [135]
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3 years ago
John and Ellen bought a big pizza. Ellen are 2/4 of the pizza and John ate 1/3 of pizza. How much did they eat all together? How
Step2247 [10]

Answer:

<em>Pizza eaten together: 5/6,</em>

<em>Pizza left over: 1/6</em>

Step-by-step explanation:

~ If Ellen ate 2/4th of the pizza and John ate 1/3 of the pizza, provided that the pizza counts as a whole ( 1 )... ~

1. Let us simplify 2/4th to be ⇒ 1/2, through simple algebra

2. To see how much they ate together we would neglect that the pizza counts as a whole but simply add 1/2 by 1/3rd.

3. Through simple algebra: 1/2 + 1/3 = 3/6 + 2/6 = <em>Pizza eaten together: 5/6</em>

4. Now to find out how much pizza was left over, we would need the fact that a pizza ⇒ 1 whole. It would be that 1 - 1/2 - 1/3 ⇒ Pizza left over, through the <em>Partition Postulate. </em>In fact, the pizza left over would simply be 1 whole - the pizza eaten together ( 5/6 ).

5. Through algebra: 1 - 1/2 - 1/3 = 1 - 5/6 = <em>Pizza left over: 1/6</em>

3 0
3 years ago
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