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Musya8 [376]
3 years ago
14

Triangle ABC and triangle DEF are similar. AC = 10, BC = 6, AB = Y in triangle ABC. In triangle DEF DF = X, EF = 5, DE = 7. What

is the value of X and Y?
Mathematics
1 answer:
sesenic [268]3 years ago
7 0

Answer:

X=9 and Y=8

Step-by-step explanation:

In relation BC is only 1 unit more than EF. So following that take AC=10, then subtract 1. Get X=9. Then take DE=7 and add 1. Get Y=8

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How do you get 40y from the difference of 2 squares with the problem (5y+4+3x)(5y+4-3x)? I understand distribution method. I don
otez555 [7]

Answer:

Step-by-step explanation:

(5y+4+3x)(5y+4-3x) = (5y+4)² - (3x)²......(from the difference of 2 squares )

by identity : (a+b)(a-b) = a² - b²

in this exercice ; a = 5y+4 and b  = 3x

3 0
3 years ago
If the measure of the angle m is twice the measure of its complement if the given angle is 40 degrees, What is the measure of an
sladkih [1.3K]
C. Because complementary angles are two angles whose sum equals 90 degrees so do 90-40=50 then 50x2= 100
4 0
2 years ago
Activity
hodyreva [135]

Answer:

The answers to each part are:

Part A.

  • <u>The quantity of apples is one-third of the quantity of grapes</u>.

Part B.

  • <u>The quantity of apples is a quarter of the quantity of strawberries</u>.

Part C.

  • <u>The number of cherries is two-elevenths of the total fruit</u>.

Step-by-step explanation:

To identify the answer in each case, you must remember that all the parts are equal, then:

Part A.

The parts of apples are 1 and the parts grapes are 3, so if you divide the first quantity with the second quantity you obtain:

  • 1 / 3 = 1/3 (one-third)

So, <u>the quantity of apples is one-third of the quantity of grapes</u> or the quantity of apples is three times smaller than the quantity of grapes.

Part B.

The parts of apples are 1 and the parts of strawberries are 4, then you must divide the first quantity with the second quantity:

  • 1 / 4 = 1/4 (a quarter)

In this case, <u>the quantity of apples is a quarter of the quantity of strawberries</u> or the quantity of apples is four times smaller than the quantity of strawberries.

Part C.

First, you must add all the part of fruit:

  • <em>1 part apple</em>
  • <em>1 part orange</em>
  • <em>4 parts strawberry</em>
  • <em>2 parts cherry </em>
  • <em>3 parts grape</em>

The total of fruits is 11 parts, taking into account the quantity of cherries is 2, now you can divide the number of cherries with the total parts of fruit:

  • 2 / 11 = 2/11 (two-elevenths)

Now, you can see <u>the number of cherries is two-elevenths of the total fruit</u>.

3 0
3 years ago
Find f(-5) if f(x) = |x+1|​
lions [1.4K]

Answer:

4

Step-by-step explanation:

just put -5 to x

|-4|=4

3 0
3 years ago
How many planes contain each line and point?
nikitadnepr [17]

There are infinite many planes that contain each line and point

<h3>How to determine the number of planes?</h3>

The given parameters are given as:

  • Line KL and G
  • Line JI and G

As a general rule, a line and a point can be used to draw as many planes as possible

This means that there are infinite many planes possible

Hence, there are infinite many planes that contain each line and point

Read more about planes and points at:

brainly.com/question/14366932

#SPJ1

8 0
2 years ago
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