All categories

2 years ago

11. Determine the measure of the angles below.

Mathematics

2 answers:

Mekhanik [1.2K]2 years ago

4 0

Answer:

11 - 125 and 55

12 - supplementary

Step-by-step explanation:

5x+20+3x-8=180

step 1 combine like terms

8x+12=180

step 2 subtract 12 from each side

8x=168

step 3 divide each side by 8

x=21

then you just plug in 21 to each equation to find that angle 1 = 125 and angle 2=55

fgiga [73]2 years ago

3 0

Problem 11

Answers:

5x+20 = 125
3x-8 = 55

--------------------

Explanation:

The two angles shown here form a linear pair. They supplementary so they add to 180.

(5x+20)+(3x-8) = 180

(5x+3x) + (20-8) = 180

8x+12 = 180

8x = 180-12

8x = 168

x = 168/8

x = 21

We then find the angles to be

5x+20 = 5*21+20 = 125

3x-8 = 3*21-8 = 55

Note how 125+55 = 180 to help confirm the answers

===================================================

Problem 12

Answer: B) Vertical angles

--------------------

Explanation:

Vertical angles are angles that form after intersecting two lines, and the angles are opposite one another. So one example of a vertical angle pairing would be angles 1 and 3. The other vertical angle pair of this diagram are angles 2 and 4. Vertical angles are always congruent to one another.

In this diagram, angles 1 and 4 are adjacent since they are next to each other. In other words, they share a common line (think of apartment neighbors sharing a common wall). Since they are adjacent angles, there is no way they are vertical angles.

Angles 1 and 4 are also supplementary since they form a straight line. They are a linear pair for very similar reasons. This allows us to rule out choices A, C and D.

Side note: the term "linear pair" means that the angles are adjacent and supplementary.

You might be interested in

, list the first five terms of each sequence.<br> f(n + 1) = −2f(n) + 8 and f(1) = 1 for n ≥ 1

svet-max [94.6K]

Answer: 1, 7, 1, 7, 1.

Step-by-step explanation:

The given function : $f(n+1)=-2f(n)+8$ and f(1) = 1 for n ≥ 1

We put value of n=1,2,3,4 , we get

For n=1 , $f(2)=f(1+1)=-2f(1)+8=-1(1)+8=-1+8=7$

For n=2 , $f(3)=f(2+1)=-2f(2)+8=-1(7)+8=1$

For n=3 , $f(4)=f(3+1)=-2f(3)+8=-1(1)+8=7$

For n=4 , $f(5)=f(4+1)=-2f(4)+8=-1(7)+8=1$

Hence, the first five terms of the given sequence are 1, 7, 1, 7, 1.

7 0

3 years ago

Give an example of a linear equation linear equation in one variable with no solution

koban [17]

-5x-4>55 here you go fam

3 0

3 years ago

Read 2 more answers

Please can someone help me answer these questions? Would be really grateful if it was done by the 12th of January. Thank you :)

FrozenT [24]

1. 4g= 37-5
⇒ 4g= 32
⇒ g= 32/4
⇒ g= 8

2. c= 5*6
⇒ c= 30

3. f+4= 3*5
⇒f+4= 15
⇒ f= 15-4
⇒ f= 11.

4. b+6= 30/5
⇒ b+6= 6
⇒ b= 6-6
⇒ b=0

5. a-5= 60/5
⇒ a-5= 12
⇒ a= 12+5
⇒ a= 17

6. e+2= 45/5
⇒ e+2= 9
⇒ e= 9-2
⇒ e= 7

7. d-5= 12/3
⇒ d-5= 4
⇒ d= 4+5
⇒ d= 9

8. m-4= 16/4
⇒ m-4= 4
⇒ m= 4+4
⇒ m= 8

9. q+6= 30/5
⇒ q+6= 6
⇒ q= 6-6
⇒ q= 0

10. h/3= 3+5
⇒ h/3= 8
⇒ h= 8*3
⇒ h= 24

11. 3c= 3-5
⇒ 3c= -2
⇒ c= -2/3

12. x/3= 6-7
⇒ x/3= -1
⇒ x= -1*3
⇒ x= -3

13. 6p= 2+1
⇒ 6p= 3
⇒ p= 3/6
⇒ p= 1/2

14. 2d-7= 27/3
⇒ 2d-7= 9
⇒ 2d= 9+7
⇒ 2d= 16
⇒ d= 16/2
⇒ d=8

15. b-3= 5/2
⇒ b-3= 2.5
⇒ b= 2.5+3
⇒ b= 5.5

16. y-1= 1/3
⇒ y= 1/3+1
⇒ y= 1 1/3

17. 5v= 9-3
⇒ 5v= 6
⇒ v= 6/5
⇒ v= 1.2

18. n-3 = 3*6
⇒ n-3= 18
⇒ n= 18+3
⇒ n= 21

19. t+10= 1*4
⇒ t+10= 4
⇒ t= 4-10
⇒ t= -6

20. 3c+4= 3*5
⇒ 3c+4= 15
⇒ 3c= 15-4
⇒ 3c= 11
⇒ c= 11/3
⇒ c= 3 2/3

Hope this helps~

6 0

3 years ago

Read 2 more answers

Make a table of values and create a line of best fit

Anni [7]

<h2>Explanation:</h2><h2></h2>

Hello! remember you have to write complete questions in order to get good and exact answers. Here I'll explain this in a general way assuming the following table:

$\begin{array}{cc}x & y\\0 & 0\\1 & 2\\2 & 4\\3 & 6\\4 & 8\\5 & 10\end{array}$

As you can see, x increases in steps of 1 units. So let's check the difference in y:

$\bullet \ \text{From x=0 to x=1} \\ \\ \Delta y=2-0=2 \\ \\ \\ \bullet \ \text{From x=1 to x=2} \\ \\ \Delta y=4-2=2 \\ \\ \\ \bullet \ \text{From x=2 to x=3} \\ \\ \Delta y=6-4=2 \\ \\ \\ \bullet \ \text{From x=3 to x=4} \\ \\ \Delta y=8-6=2 \\ \\ \\ \bullet \ \text{From x=4 to x=5} \\ \\ \Delta y=10-8=2$

So we have a constant difference and we can conclude the table represents a line. Since the line passes through then y is directly proportional to x, so we can write:

$y=kx \\ \\ Where: \\ \\ k \ is \ constant \ of \ proportionality \ or \ the \ slope$