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Alika [10]
4 years ago
5

I need help ASAP!!!!

Mathematics
1 answer:
Ymorist [56]4 years ago
6 0

I started this one then got busy with other things.


z and 71 deg form a same side interior pattern


they're supplementary angles


sum to 180 degrees


z + 71 = 180


z = 180 - 71


z = 109 degrees


z and x are alternate angles


their measures are the same


z = 109 deg so x = 109 deg


y and 71 deg form adjacent angles which are supplementary


sum to 180 degrees


y = 180 - 71 = 109 deg


x = 109 deg, y = 109 deg, z = 109 deg


Part b


w and 88 form a supplementary pair


they add to 180 deg


w = 180 - 88 = 92 deg


v and 101 deg are vertical or opposite angles


They are congruent


So v = 101 deg




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A restaurant offers a special pizza with any 4 toppings. If the restaurant has 15 topping from which to choose, how many differe
OlgaM077 [116]

Answer: 1,365 possible special pizzas

Step-by-step explanation:

For the first topping, there are 15 possibilities, for the second topping, there are 14 possibilities, for the third topping, there are 13 possibilities, and for the fourth topping, there are 12 possibilities. This is how you find the number of possible ways.

15 * 14 * 13 * 12 = 32,760

Now, you need to divide that by the number of toppings you are allowed to add each time you add a topping.

4 * 3 * 2 * 1 = 24

32,760 / 24 = 1,365

There are 1,365 possible special pizzas

8 0
3 years ago
the diagram shows a door that has a window in it the front faces the door and window are similar rectangles that have the dimens
Vaselesa [24]

Answer:

<u>The correct answer is B. 150 cm.</u>

Correct statement, question and diagram:

The diagram shows a door that has a window in it. The front faces of the door and window  are similar rectangles that have the dimensions shown. What is <em>h, </em>the height of the window in centimeters?

A. 66 cm

B. 150 cm

C. 186 cm

D. Not here.

Source:

Question that can be found at quizizz

Step-by-step explanation:

Let's recall that if the door and the window in it are similar rectangles, then we have:

60/84 = h/210

84 * h = 210 * 60

84h = 12,600

h = 12,600/

h = 150 cm

<u>The correct answer is B. 150 cm.</u>

3 0
3 years ago
Read 2 more answers
The following are all 6 quiz scores of a student in a statistics course. Each quiz was graded on a 10-point scale. 8,6,9,9, 8, 8
Rufina [12.5K]

Answer:

mean=6+8+8+9+9+10divided 6 =

8 0
3 years ago
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15. The dollar amount y that remains to be repaid on a loan x months after the loan is issued is represented by y=-1000x + 8000.
irina [24]

Answer:

1) $8000

2) $1000

3) 8 months, since y represents our remaining amount to be paid, we set it equal to 0, to see when $0 need to be paid. Solving for x (months), we can it to be 8.

Step-by-step explanation:

We have the equation y = -1000x + 8000 which follows the linear equation:

y = mx + b, where m is our slope and b is our y-intercept

1) The initial balance can be found with our constant "b" which in this case is 8000. You can also plot the function of y and you will find that 8000 is the intercept when x = 0, aka the start

2) We can calculate the rate of change for when the loan is repaid by looking at the slope "m", in this case it is 1000. It subtracts 1000 each month, meaning $1000 is being payed and taken out of the bank account

3) To find how many months it will take for the loan to be repaid, let's solve for x when y = 0.

0  = -1000x + 8000

-8000 = -1000x

8 = x

It will take 8 months. Why? Since y represents our remaining amount to be paid, we set it = 0, to see when $0 need to be paid. Solving for x (months), we can it to be 8.

5 0
3 years ago
What is the slope of a line that is parallel to the line represented by the equation : y = 5x - 3?
Lerok [7]

Answer:

5

Step-by-step explanation:

This line equation is in  y = mx + b form    m will be the slope

 m = 5     parallel line will have same slope  = 5  

5 0
2 years ago
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