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kenny6666 [7]
2 years ago
5

In the diagram, m ∥ n and m and n are cut by transversal p. Which angle pairs are congruent? Check all that apply. ∠1 and ∠5 ∠3

and ∠8 ∠6 and ∠4 ∠8 and ∠2 ∠4 and ∠7

Mathematics
2 answers:
Gelneren [198K]2 years ago
5 0
The picture in the attached figure

we know that

a) <span>∠1 and ∠5
are congruent-----> by corresponding angles

b) </span>∠3 and ∠8------> supplementary angles  (∠3 + ∠8=180°)
<span>are not congruent

c)</span>∠6 and ∠4------> supplementary angles (∠6 + ∠4=180°)
are not congruent

d) ∠8 and ∠2------> supplementary angles  (∠8 + ∠2=180°)
are not congruent

e) ∠4 and ∠7-----> supplementary angles  (∠4 + ∠7=180°)
are not congruent

lesya692 [45]2 years ago
4 0

Answer:

1,3,4

Step-by-step explanation:

on edge 2020

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Here are the ingredients to make 12 cupcakes.
scoundrel [369]

Answer:

Mark needs 2 kg butter, 2 kg caster sugar, 14 eggs, and 1.5 kg flour.

Step-by-step explanation:

Alright, first you double the number of kids, as Mark wants each kid to have two cupcakes, not one. (Then add 80+80 to get 160)

Now add the adults to children: 160+152=312

now divide by 12 to see how many batches of cupcakes he needs to make.

312÷12=26 So he needs to make 26 batches

Now here are the ingredients needed to make 12 batches of cupcakes (I multiplied the amount of each ingredient by 26)

5200 g (5.2 kg) butter, 5200 g (5.2 kg) caster sugar, 104 eggs, and 6500 g (6.5 kg) flour.

now make the measurements the same as Mark's ingredients (or the other way around)

(to save time I am not showing each one, just the normal ingredients turned into kg and compared)

5 kg butter < 5.2 kg butter

5 kg caster sugar < 5.2 kg butter

90 eggs < 104 eggs

5 kg flour < 6.5 kg flour

Now do a little subtraction.....

5.2 kg-5 kg = 2 kg butter is needed....

5.2 kg - 5 kg = 2 kg caster sugar is needed....

104 - 90 = 14 eggs needed....

6.5 kg - 5 kg = 1.5 kg flour needed....

And there you go!!! Hope this helped!!! :D

4 0
2 years ago
Engineers measure angles in gradients, which are smaller than degrees. The table shows the conversion of some angle measures in
loris [4]
The table showing the conversion of angle measure in degrees to angles in gradients is attached below.

In order to find the slope we divide the difference of two y-coordinates (or dependent variable which in this case is gradient measure) by the difference of two respective x-coordinates (or independent variable which in this case is degree measure).

For finding the slope we will use the first and the last point given in the table. So, the slope m will be given by:

m= \frac{300-(-200)}{270-(-180)}  \\  \\ &#10;m= \frac{500}{450} \\  \\ &#10;m=1.11

So rounding of to nearest hundredth, the slope of line representing the conversion of degrees to gradients is 1.11

8 0
2 years ago
Read 2 more answers
teresa stated that the heights of the students in her class were not a function of their ages. Which reasoning could justify Ter
Masja [62]

The answer is Two students are the same age but have different heights. Hope this helps!

7 0
2 years ago
Read 2 more answers
The function m=30-3r represents the amount m (in dollars) of money you have after renting r video games.
san4es73 [151]
The domain of the equation are all the possible values of the independent variables that would make the equation reasonable, possible or true. In this item, the independent variable is r. This could take a value of 0 up to the point when m is equal to zero.
        m = 30 - 3r = 0
              r = 10

The domain is therefore [0, 10]. 

The range is the value of the dependent variable which would be from 0 to the point when no video game is played. This is, [0, 30]. 

The function is discrete because r and m cannot take every value in the number line. 
5 0
2 years ago
Cheese sticks that were previously priced at "10 for $1" are now "2 for $1". Find each percent change.
AysviL [449]

Answer:

The percent decrease in the number of cheese sticks you can buy for $1 is 80%.

Step-by-step explanation:

Given : Cheese sticks that were previously priced at "10 for $1" are now "2 for $1".

To find : The percent decrease in the number of cheese sticks you can buy for $1 ?

Solution :

The formula used to find percent decrease is given by,

\%\text{ change}=\frac{\text{Amount of change}}{\text{Original amount }}\times 100

The price change from 10 to 2,

\%\text{ change}=\frac{10-2}{10}\times 100

\%\text{ change}=\frac{8}{10}\times 100

\%\text{ change}=80\%

The percent decrease in the number of cheese sticks you can buy for $1 is 80%.

7 0
2 years ago
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