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gavmur [86]
3 years ago
10

Find x and y. Give reasons to justify your solution.

Mathematics
2 answers:
Alekssandra [29.7K]3 years ago
5 0

Answer:

x = 32

y = 35

Step-by-step explanation:

x = 32 because they are vertical angles. Vertical Angles means a pairs of opposite angles made by two intersecting lines.

y = 35 because the vertical angle for y is 35 (view attached image below). Also, if we add all the angles together in the image, it comes out to a sum of 360 degrees, which is a full circle.

Annette [7]3 years ago
3 0

Answer:

x=32 degrees

y=35 degrees

Step-by-step explanation:

trust me

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Find the value of x.
Arlecino [84]

Answer:

<h2>20</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • equation
  • PEMDAS
<h3>tips and formulas:</h3>
  • a straight line contains 180°
<h3>let's solve:</h3>

according to the question

7x+x+20=180

=>8x+20=180

=>8x=160

therefore

x=20

7 0
3 years ago
2.the solution set of x +y =5 and x-y =3
Nataliya [291]

Answer:

Check the solution below

Step-by-step explanation:

2) Given the equation

x +y =5... 1 and

x-y =3 ... 2

Add both equations

x+x = 5+3

2x = 8

x = 8/2

x = 4

Substitute x = 4 into 1:

From 1: x+y = 5

4+y= 5

y = 5-4

y = 1

3) Given

x+3y =15 ... 1

2x+7y=19 .... 2

From 2: x = 15-3y

Substitute into 2

2(15-3y)+7y = 19

30-6y+7y = 19

30+y = 19

y = 19-30

y = -11

Substitute y=-11 into x = 15-3y

x =15-3(-11)

x = 15+33

x = 48

The solution set is (48, -11)

4) given

x/2 +y/3 =0 and x+2y=1

From 1

(3x+2y)/6 = 0

3x+2y = 0.. 3

x+2y= 1... 4

From 4: x = 1-2y

Substutute

3(1-2y) +2y = 0

3-6y+2y = 0

3 -4y = 0

4y = 3

y = 3/4

Since x = 1-2y

x = 1-2(3/4)

x = 1-3/2

x= -1/2

The solution set is (-1/2, 3/4)

5) Given

5.x=1/2 and y =x +1 then solution is

We already know the vkue of x

Get y

y= x+1

y = 1/2 + 1

y = 3/2

Hence the solution set is (1/2, 3/2)

6) Given

3x +y =5 and x -3y =5

From 3; x = 5+3y

Substitute into 1;

3(5+3y)+y = 5

15+9y+y = 5

10y = 5-15

10y =-10

y = -1

Get x;

x = 5+3y

x = 5+3(-1)

x = 5-3

x = 2

Hence two solution set is (2,-1)

6 0
3 years ago
If you want to buy an item in a store that costs $25 an is on sale for 10% off
kumpel [21]

Answer:

2.50$ off or 22.50$

Step-by-step explanation:

8 0
3 years ago
Please someone help me!!! its urgent!
I am Lyosha [343]

Answer:

<em>12.99</em>

Step-by-step explanation:

<em>a²+b²=c²</em>

<em>a²+b²=c²√91²+√78²=c²</em>

<em>a²+b²=c²√91²+√78²=c²√8281+√6084=c²</em>

<em>a²+b²=c²√91²+√78²=c²√8281+√6084=c²91+78=c²</em>

<em>a²+b²=c²√91²+√78²=c²√8281+√6084=c²91+78=c²169=c²</em>

<em>a²+b²=c²√91²+√78²=c²√8281+√6084=c²91+78=c²169=c²c=√169</em>

<em>a²+b²=c²√91²+√78²=c²√8281+√6084=c²91+78=c²169=c²c=√169 =13</em>

8 0
2 years ago
If i get 60 dollars a day, how many days will it take to get 289,999 dollars?
vlabodo [156]
Well if you get 60 dollars every day we can represent that as 60d

We can set that equal to 289999 to solve for days, d.
289999 = 60d
289999/60 = d
4,833.3166667 = d
So 4,834 total days
8 0
4 years ago
Read 2 more answers
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