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Karo-lina-s [1.5K]
3 years ago
5

Find the value of x and y.

Mathematics
1 answer:
RideAnS [48]3 years ago
4 0

Answer:

x = 30

y = 2

Step-by-step explanation:

Please note: the value for x is correct only if this triangle is a right triangle.

This can be solved because 2(5y) = 20 and because if a triangle has all congruent angles then its side lengths are also congruent.

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a bag contains 10 white gold balls and 6 striped golf balls. a golfer wants to add 112 golf balls to the bag. he wants the ratio
wolverine [178]

Answer:70 white golf balls and 42 striped golf balls

Step-by-step explanation:

First we find the ratio of white to striped balls

White golf balls = 10

Striped golf balls = 6

Ratio = 10/6 = 5/3

We are told a golfer wants to add extra 112 balls to the already 16 balls

And the ratio after adding 112 balls must stay the same

First we label the extra golf balls to be added x and y

x = white golf balls

y = striped golf balls

So since we know the 112 balls added is a combination of the extra white golf balls and striped golf balls, we create an equation for that, labelling it (1)

x + y = 112 (1)

And we are told that after putting these extra balls the ratio must remain the same, which is 5/3

which will be (10 white balls + x) divided by (6 striped ball + y) will be equals to 5/3

So we create another equation for this, labelling it (2)

(10+x)/(6+y) = 5/3 (2)

So we have two simultaneous equations

We pick (1)

x + y = 112

We either make x or y the subject of formula, I choose to make x the subject of formula, we label the equation (3)

take y to the other side, causing it to change to -y

x = 112 - y (3)

We then work with (2)

(10+x)/(6+y) = 5/3

We cross multiply

3(10+x) = 5(6+y)

We open the brackets

Making the equation simplified and labelling it (4)

30 +3x = 30 + 5y

Collect like terms

3x -5y = 30-30

3x -5y = 0 (4)

Remember from (3) we know that

x = 112 -y

So we put (3) in (4)

3(112 - y) - 5y = 0

Open bracket

336 -3y -5y =0

336 -8y = 0

Transfer -8y to the other side, changing to +8y

336 = 8y

Divide both sides by 8

336/8 = y

42 = y

y = 42

from (3) we know that x equals 112 - y

So we put y = 42 in (3)

x = 112 - y

x = 112 -42 = 70

x = 70

So therefore number of white golfs balls and striped golfs balls to be added to keep the same ratio is 70 and 42 respectively

4 0
3 years ago
Anyone please help me <br><br>solve for x and Y will give brainliest ​
Vedmedyk [2.9K]

Answer:

x = - 5, y = - 9

Step-by-step explanation:

Given

x + 9i = - 5 - yi

For the 2 sides to be equal then the coefficients of like terms must be equal.

x = - 5 and 9 = - y ⇒ y = - 9

6 0
3 years ago
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-3w-3x-7w+4x-2w<br><br><br> ......
valkas [14]

Answer:

− 1 2 +

Step-by-step explanation:

3 0
3 years ago
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What is combined mean
FromTheMoon [43]
Combined in mathematics is to add together to find a total. If you combine 1 and 2 you get 3.
7 0
2 years ago
Question 1. 50+50=?<br> Question 2. 150+150=?
Mademuasel [1]

Answer:

1 100

2 300

Step-by-step explanation:

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2 years ago
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