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frozen [14]
2 years ago
12

Find the value of x :)

Mathematics
2 answers:
Kisachek [45]2 years ago
4 0

Answer:

x=20

Step-by-step explanation:

Those add up to 180 degrees because a straight line is 180 degrees

Equation

2x + 70 + 3x + 10 = 180

Add liked terms

2x+3x=5x

5x+80=180

5x+80-80=180-80

Divide both sides by 5

5x=100

x=20

hope this helps and good luck! <3

alexira [117]2 years ago
3 0

Answer:

x = 20

Step-by-step explanation:

→ Remember how many degrees are on a straight line

180°

→ Set up an equation

2x + 70 + 3x + 10 = 180

→ Simplify

5x + 80 = 180

→ Minus 80 from both sides

5x = 100

→ Divide both sides by 5

x = 20

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PLEASE HELP ILL MARK BRAINLIEST !!!
Alexus [3.1K]

Answer:

a) the common difference is 20

b) x_8=115 , x_{12}=195

c) the common difference is -13

d) a_{12}=52, a_{15}=13

Step-by-step explanation:

a) what is the common difference of the sequence xn

Looking at the table, we get x_3=16, x_4=36 and x_5= 56

Deterring the common difference by subtracting x_4 from x_3 we get

36-16 =20

So, the common difference is 20

b) what is x_8? what is x_12

The formula used is: x_n=x_1+(n-1)d

We know common difference d= 20, we need to find x_1

Using x_3=16 we can find x_1

x_n=x_1+(n-1)d\\x_3=x_1+(3-1)d\\15=x_1+2(20)\\15=x_1+40\\x_1=15-40\\x_1=-25

So, We have x_1 = -25

Now finding x_8

x_n=x_1+(n-1)d\\x_8=x_1+(8-1)d\\x_8=-25+7(20)\\x_8=-25+140\\x_8=115

So, \mathbf{x_8=115}

Now finding x_{12}

x_n=x_1+(n-1)d\\x_{12}=x_1+(12-1)d\\x_{12}=-25+11(20)\\x_{12}=-25+220\\x_{12}=195

So, \mathbf{x_{12}=195}

c) what is the common difference of the sequence a_m

Looking at the table, we get a_7=104, a_8=91 and a_9= 78

Deterring the common difference by subtracting a_7 from a_8 we get

91-104 =-13

So, the common difference is -13

d) what is a_12? what is a_15?

The formula used is: a_n=a_1+(n-1)d

We know common difference d= -13, we need to find a_1

Using a_7=104 we can find x_1

a_n=a_1+(n-1)d\\a_7=a_1+(7-1)d\\104=a_1+7(-13)\\104=a_1-91\\a_1=104+91\\a_1=195

So, We have a_1 = 195

Now finding a_{12} , put n=12

a_n=a_1+(n-1)d\\a_{12}=a_1+(12-1)d\\a_{12}=195+11(-13)\\a_{12}=195-143\\a_{12}=52

So, \mathbf{a_{12}=52}

Now finding a_{15} , put n=15

a_n=a_1+(n-1)d\\a_{15}=a_1+(15-1)d\\a_{15}=195+14(-13)\\a_{15}=195-182\\a_{15}=13

So, \mathbf{a_{15}=13}

5 0
3 years ago
If you had a score of 60% how many marks out of 150 did he obtain
horrorfan [7]

Answer:

90

Step-by-step explanation:

60/100=x/150

180/300=2x/300

2x=180

x=90

8 0
3 years ago
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Please help me with #2!!!!
Natali [406]
D. 5

It is what it is
8 0
3 years ago
A negative value of r means that:
tatuchka [14]

Answer:

(d.) Those who score high on one variable tend to score low on the other.

Step-by-step explanation:

A negative value of correlation coefficient (r) shows a relationship between two variables such that as one variable increases, the other decreases. It shows the inverse relationship between two variables with the dependence determined by the value of the correlation coefficient (r).

It can be observed that for graphs with negative slope, the correlation coefficient (r) is similarly negative. This speaks about its relationship too.

The correlation coefficient being negative doesn't mean the relationship between the two variables in question is bad, it just means that the correlation relationship is inverse (still dependent). A perfectly negative correlation is -1.  

6 0
3 years ago
What is the solution to the system of equations graphed below?<br><br> y=x+3<br> y=3x+1
Mademuasel [1]

Answer:

(1, 4)

Step-by-step explanation:

y=x+3

y=3x+1

y=x+3

x+3=3x+1

x=3x-2

-2x=-2

x=1

y=1+3

y=4

8 0
3 years ago
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