1. Name the triangles that are congruent.
2. What postulate support your answer?
3. Name all other angles and segments that are congruent.
4. What can you say about UN in relation to <JUG and JG
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Answer:  The image of the completed table is shown below

In the completed table, we have the following values (left to right)

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

Explanation:

We're told that "40 people responded that they use mouthwash". That means we'll write "40" at the very end of the "use mouthwash" row. This represents the total number of people who use mouthwash, since we're underneath the "total" in that far right column.

Then we're further told that "Of the people who use mouthwash, 30 people use floss", so we'll write "30" in the first row, first column blank space. These are the people who both floss and use mouthwash. Because earlier we know 40 people use mouthwash overall, this leaves 40-30 = 10 people who use mouthwash, but they don't floss.

To summarize so far: In row 1, we have the following values from left to right: 30, 10, 40

The first two items of this row must add to the last item.

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Now onto row 2

Since 40 people use mouthwash, and 100 people were surveyed, this means that 100-40 = 60 people do not use mouthwash.  The value 60 goes at the very end of row 2. This represents another total.

Like earlier, the first two items must add to the last. So 40+60 = 100.

Now turn to the fact that "45 people responded that they don't floss and don't use mouthwash". This tells us that "45" will be in the "no mouthwash" row and "don't floss" column.

We have 60 people who don't use mouthwash, and 45 of those people also don't floss. Therefore, 60-45 = 15 people do floss but they don't use mouthwash. We'll write "15" in the second row, first column.

Along row 2, we have the following values: 15, 45, 60

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Row 3

For each column, add up the first two items to get the third one. This will lead to the totals along this bottom row.

The third column is already done, but again we can see that 40+60 = 100.

Furthermore, the first two items of the third row add to 45+55 = 100 which helps confirm our answers.

The full completed table is shown below.

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To summarize, we are effectively just sorting the values given to us to write them into the table. Then we use a bit of algebraic detective work to find out what values are missing so we fill out the completed table.

Answer: s = 16

Step-by-step explanation:

234 = (s+2)(s-3)

s = 16, -15 (throw away -15, measurements cannot be negative)

This can be proven by substituting s for 16

234 = (16+2)(16-3)

234 = 18*13

234= 234

Hope this helps! Pls give brainliest :)

Answer:

The son age is 10 years

And, his mother age be 40 years

Step-by-step explanation:

Given that

The mother is four times the age of her son

And,  in 5 years, she will be three times as old as him

We need to find out the ages of both

Here we assume that the age of her son be x

So the mother age be 4x

Now in 5 years, her mother would be 3 times as old as his son

So,

4x + 5 = 3(x + 5)

4x + 5 = 3x + 15

x = 10

The son age is 10 years

And, his mother age be 40 years

Answer:

S = $10.20

Step-by-step explanation:

s = 12 - .15 (12)

s = 12 - 1.80

s = $10.20

If 15% comes off the price, then 85% of the price is left to pay. (100 - 15 = 85)

12 x .85 = $10.20

Answer:

x = 36.03°

Step-by-step explanation:

We have to find: Angle A, also called "x

We are given: Side opposite to x and the hypotenuse of the triangle.

Trigonometric Ratio that would be used: Sin

=> Sin(x) = Opposite/Hypotenuse

=> Sin(x) = 10/17

=> x = Sin⁻¹(10/17)

=> x = 36.03 Degrees

Hope this helps!

Answer:

Kayak and Canoe rented for 3 hours

Step-by-step explanation:

Let the time for which they rent canoe & kayak = x hours  

Total canoe cost = 20.49 + 7.49x , Total kayak cost = 17.99 + 5.99x  

Given] Total canoe & kayak cost = 78.92

So, (20.49 + 7.49x) + (17.99 + 5.99x) = 78.92

20.49 + 17.99 + 7.49x + 5.99x =  78.92 ; 38.48 + 13.48x = 78.92

13.48x = 78.92 - 38.48 ; 13.48x = 40.44

x = 40.44 / 13.48 ; x = 3

3 hours

Answer:

(2)

The increased amount is 9

Answer:

0.875

Step-by-step explanation:

7/8 of stadium was full

Division '7 ÷ 8' is shown , to convert the fraction into decimal

7/8 = 0.875

It is equivalent to the fraction of the stadium that was full on Sunday.

Answer:

b, c, d, e

Step-by-step explanation:

a) 18/24 = 75%

b) 18/20 = 90%

c) 36/40 = 90%

d) 54/60 = 90%

e) 81/90 = 90%

Answer:

x+4x+2y-5y-3z+6z

5x-3y3z

Answer:

V = 200.96 m^3

Step-by-step explanation:

V=1/3hπr²

h=12, r=4

V = 1/3 (12) (3.14) (4^2)

V = 1/3 (12) (3.14) (16)

V = 200.96 m^3

Answer:

602.88m³

Step-by-step explanation:

volume = base area x height

            = πr²x h

            = (3.14)(4)² x 12

            =602.88

Answer:

Easy you can guess if you think you can do something and you proudly can

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

The secant- secant angle 4x° is half the difference of the intercepted arcs, that is

4x = [tex]\frac{1}{2}[/tex] (9x + 26 - 35 ) ← multiply both sides by 2 to clear the fraction

8x = 9x - 9 ( subtract 8x from both sides )

0 = x - 9 ( add 9 to both sides )

9 = x

Answer:

1.

JL = 32

m∠NKL = 58°

2.

AE = 15

m∠EAB = 55°

Step-by-step explanation:

Answer:

1.) 4 families with 3 children

2.) 6 families represented in the dot plot

3.) 3 families less than 4 children

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Answer:

The answer is No.

Step-by-step explanation:

have a great day

Answer:

7 mins

Step-by-step explanation:

3 songs

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Song 1: 2mins

Song 2: 3 min

Song 3: 2 min

2+3+2 = 7

Hope I helped :)

Answer:

4

Step-by-step explanation:

Answer:

x=71

Step-by-step explanation:

409+x=480

x=480-409

x=71

Answer:

x=263

Step-by-step explanation:

261+148=409

409+x=672

x=672-409

x263

Given details :

To find :

Solution :

We know that CP is ,

Put the values in the formula ,

Answer:

825/55=15 meters per seconds

Step-by-step explanation:

Hope this helps please give brainliest!

Answer:

x=−5

y=x2+10x+25

Step-by-step explanation:

Because the line of symmetry passes through the vertex, the equation of the line is x=−5.

Answer:

A. 2

you add 4x + 3x gives you 7x

then you divide by 7 on each side

7 divided by 7x is x

and 7 divided by 14 is 2