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3 years ago

Select one of the triangle theorems and write a proof for it.

Mathematics

2 answers:

Sauron [17]3 years ago

7 0

Answer:

Look at the attached picture

Step-by-step explanation:

Yes, they are congruent by the SAS Theorem

From the figure, we see that there are two congruent pairs of corresponding sides, AC¯¯¯¯¯¯¯¯≅DF¯¯¯¯¯¯¯¯,BC¯¯¯¯¯¯¯¯≅EF¯¯¯¯¯¯¯¯, and one congruent pair of corresponding angles, ∠C≅∠F. The Side-Angle-Side Theorem (SAS) states that if two sides and the angle between those two sides of a triangle are equal to two sides and the angle between those sides of another triangle, then these two triangles are congruent.

Gennadij [26K]3 years ago

4 0

When triangles are congruent, one triangle can be moved (through one, or more, rigid motions) to coincide with the other triangle.

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At total of 2 feet of snow falls over three days on the first day 1/6 of the snow falls on the second day 7/12 of the snow falls

ioda

Answer:

$Day\ 3 = 1\frac{3}{12}$

Step-by-step explanation:

Given

$Total = 2ft$

$Day\ 1 = \frac{1}{6}$

$Day\ 2 = \frac{7}{12}$

Required

Determine the amount of snow on day 3

This can be calculated using:

$Day\ 1 + Day\ 2 + Day\ 3 = Total$

Substitute values for the known parameters

$\frac{1}{6} + \frac{7}{12} + Day\ 3 = 2$

Collect Like Terms

$Day\ 3 = 2 - \frac{1}{6} - \frac{7}{12}$

Take LCM

$Day\ 3 = \frac{24 - 2 - 7}{12}$

$Day\ 3 = \frac{15}{12}$

Express as mixed number

$Day\ 3 = 1\frac{3}{12}$

5 0

3 years ago

For a given input value x, the function f outputs a value y to satisfy the following equation.

olasank [31]

F(x)=5x-26 is your correct answer

6 0

2 years ago

Find the mean and range.<br><br> 26 19 23 39 31 34 23 25

sveticcg [70]

Range: largest number minus the smallest number
39 - 19 = 20
your range is 20

Mean: add all of the numbers and divide by the amount of numbers there are.

26+19+23+39+31+34+23+25= 220
220/8 = 27.5

your mean is 27.5

hope this helps

7 0

2 years ago

Read 2 more answers

ebony wants to buy a dvd player and dvds the equation relates the total cost for dvds and dvd player and N dvds is p=20n+200 wha

kupik [55]

____________________________________________________

Answer:

It represents the cost of the DVD player.

____________________________________________________

Step-by-step explanation:

The reason why it represents the cost of the DVD player is because in the question, it doesn't mention anything about buying multiple DVD players. Ebony would need to buy many DVD's, but doesn't need many DVD players because ebony could use one for all of the DVD's. If you noticed in the question, it says "a DVD player," what this means is that Ebony is only going to buy one DVD player, since it's singular (without and s at the end).

The equation is saying that she starts off with buying 1 DVD player for 200 dollars; and, she is buying n (number of DVDs) for 20 dollars each.

This shows that the 200 in the equation in the question represents the cost of the DVD player.

____________________________________________________

3 0

3 years ago

Mr. Petersen counted the number of coins collected by the students in his coin club and prepared the following line plot.

zimovet [89]

Answer:21

Step-by-step explanation:

Add them all up

8 0

2 years ago