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wlad13 [49]
3 years ago
13

2 horizontal and parallel lines are intersected by 2 diagonal lines to form a triangle with exterior angles. The top angle of th

e triangle is (2 x + 10) degrees. The bottom right angle of the triangle is 79 degrees. The exterior angle to the bottom left angle is (6 x + 1) degrees. What is the value of x? x = 2.25 x = 11.25 x = 13 x = 22
Mathematics
2 answers:
liraira [26]3 years ago
8 0

Answer:

11.25

Step-by-step explanation:

sketch a triangle and fill in the sides,add the sides and equate to 180, collect the like terms to get the value of x=11.25

RoseWind [281]3 years ago
8 0

Answer:

11.25

Step-by-step explanation:

8x+11=180-79

8x+11=101

8x=90

x=11.25

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This is a double question. Part 1: 5(2x - 4) = 30. Solve for x Part 2: 5x + 3 - x + 2 = 41. Solve for x. I will mark Brainliest
Ainat [17]

Answer:

see below

Step-by-step explanation:

Part 1: 5(2x - 4) = 30.

Distribute

10x -20 = 30

Add 20 to each side

10x-20+20 =30+20

10x = 50

Divide by 10

10x/10 = 50/10

x =5

Part 2: 5x + 3 - x + 2 = 41

Combine like terms

4x +5 = 41

Subtract 5 from each side

4x+5-5 = 41-5

4x = 36

Divide by 4

4x/4 = 36/4

x = 9

3 0
3 years ago
Read 2 more answers
You roll a pair of honest dice. If you roll a total of 7, you win $18; if you roll a total of 11, you win $54; if you roll any o
amm1812
Answer: -1
The negative value indicates a loss

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

Explanation:

Define the three events
A = rolling a 7
B = rolling an 11
C = roll any other total (don't roll 7, don't roll 11)

There are 6 ways to roll a 7. They are
1+6 = 7
2+5 = 7
3+4 = 7
4+3 = 7
5+2 = 7
6+1 = 7
Use this to compute the probability of rolling a 7
P(A) = (number of ways to roll 7)/(number total rolls) = 6/36 = 1/6
Note: the 36 comes from 6*6 = 36 since there are 6 sides per die

There are only 2 ways to roll an 11. Those 2 ways are:
5+6 = 11
6+5 = 11
The probability for event B is P(B) = 2/36 = 1/18

Since there are 6 ways to roll a "7" and 2 ways to roll "11", there are 6+2 = 8 ways to roll either event. 
This leaves 36-8 = 28 ways to roll anything else
P(C) = 28/36 = 7/9

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

In summary so far,
P(A) = 1/6
P(B) = 1/18
P(C) = 7/9

The winnings for each event, let's call it W(X), represents the prize amounts.
Any losses are negative values
W(A) = amount of winnings if event A happens 
W(B) = amount of winnings if event B happens
W(C) = amount of winnings if event C happens
W(A) = 18
W(B) = 54
W(C) = -9

Multiply the probability P(X) values with the corresponding W(X) values
P(A)*W(A) = (1/6)*(18) = 3
P(B)*W(B) = (1/18)*(54) = 3
P(C)*W(C) = (7/9)*(-9) = -7

Add up those results
3+3+(-7) = -1

The expected value for this game is -1.
The player is expected to lose on average 1 dollar per game played.


Note: because the expected value is not 0, this is not a fair game.


7 0
3 years ago
Read 2 more answers
Suppose the y-intercept of an exponential function is positive and the common ratio (r) is greater than 1. For this graph, as x
Anna11 [10]

Answer:

Increase (A)

Step-by-step explanation:

If the common ratio is greater than 1, that means the y-value increases as the x-value increases.

If the common ratio is 1, that means the y-value stays the same as the x-value increases.

If the common ratio is between 0 and 1, that means the y-value decreases and approaches 0 ad the x-value increases.

Because the common ratio is greater than 1, the answer is A, increases

4 0
3 years ago
Triangle N T M is shown. Angle N T M is a right angle. An altitude is drawn from point T to point U on side N M to form a right
Agata [3.3K]

Answer:

6 StartRoot 3 EndRoot units

Step-by-step explanation:

7 0
2 years ago
Stephanie spent $16 on product and supplies for a lemonade stand. She charged $2 for a cup of lemonade. The graph below can be u
Lilit [14]

Answer:

A. The y-intercept represents the amount of money Stephanie has. She started at -16 because she spent $16.

B. The x-intercept is the amount of cups of lemonade she sold. On the graph, it shows that after 8 cups, she made 16 dollars back. She didn't make any profit sense she started at -16.

C. The slope represents how much she made after so many cups of lemonade were sold. It was after 8 cups of lemonade were sold that she started making a profit.

Step-by-step explanation:

4 0
3 years ago
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