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Lina20 [59]
3 years ago
8

Determine if the two triangles are congruent.

Mathematics
1 answer:
goldenfox [79]3 years ago
6 0

Answer:

Yes

Step-by-step explanation:

Since they have 3 identical sides, they are congruent by SSS congruence.

HTH :)

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A cellphone data plan costs 0.03 per gigabyte and has a 40.00 initial charge. What will be the total cost of the cellphone data
lbvjy [14]

Answer:

0.03x+40.00

Step-by-step explanation:

8 0
3 years ago
At 6 AM, the temperature in Volusia, California was 46℉. By 4 PM, the temperature had risen to 57℉. What was the change in tempe
pshichka [43]

Answer:

The correct answer is 11°F.

Step-by-step explanation:

To solve this problem, we simply need to find the change in temperature.  This is modeled below:

Change in temperature = final temperature - initial temperature

Change in temperature = 57 - 46 = 11

Therefore, the correct answer is 11 degrees Fahrenheit.  

Hope this helps!

7 0
3 years ago
Read 2 more answers
The three lines given below form a triangle. Find the coordinates of the vertices of the triangle.
LenKa [72]

Answer:

  • (3, 5), (1, 2) and (5, 1)

Step-by-step explanation:

Make three systems with pairs of lines and solve them to work out the vertices.

1) <u>Line 1 and line 2</u>

  • -3x + 2y = 1
  • 2x + y = 11

<u>Double the second equation and subtract equations:</u>

  • -3x + 2y - 2(2x + y) = 1 - 2(11)
  • -3x - 4x = 1 - 22
  • -7x = - 21
  • x = 3

<u>Find y:</u>

  • 2*3 + y = 11
  • 6 + y = 11
  • y = 11 - 6
  • y = 5

The point is (3, 5)

2) <u>Line 1 and line 3</u>

  • -3x + 2y = 1
  • x + 4y = 9

<u>Triple the second equation and add up equations:</u>

  • -3x + 2y + 3(x + 4y) = 1 + 3(9)
  • 2y + 12y = 1 + 27
  • 14y = 28
  • y = 2

<u>Find x:</u>

  • x + 4*2 = 9
  • x + 8 = 9
  • x = 1

The point is (1, 2)

3) <u>Line 2 and line 3</u>

  • 2x + y = 11
  • x + 4y = 9

<u>Double the second equation and subtract the equations:</u>

  • 2x + y - 2(x + 4y) = 11 - 2(9)
  • y - 8y = 11 - 18
  • - 7y = - 7
  • y = 1

<u>Find x:</u>

  • x + 4*1 = 9
  • x + 4 = 9
  • x = 5

The point is (5, 1)

8 0
2 years ago
A shoe store sold 340 pairs of shoes in one day. The number of pairs f athletic shoes sold was 4 more then twice the number of p
sp2606 [1]
344 pairs of athelic shoes were sold bc when f=688 double 344 bc its individual shoes

if u set up the equation f÷2 - 4 = 340 and u input f u get the answer.....hope this helped
5 0
3 years ago
Given f(x)=x3 and g(x)= 1-5x2, fine (fog)(x) and it’s Domain
andre [41]

Answer:

Option B. f(g(x)) = (1-5x ^ 2) ^ 3  all real numbers

Step-by-step explanation:

We have

f(x) = x ^ 3 and g(x) = 1-5x ^ 2

They ask us to find

(fog)(x) and it's Domain

To solve this problem we must introduce the function g(x) within the function f(x)

That is, we must do f(g(x)).

So, we have:

f(x) = x ^ 3

g(x) = 1-5x ^ 2

Then:

f(g(x)) = (1-5x ^ 2) ^ 3

The domain of the function f(g(x)) is the range of the function g(x) = 1-5x ^ 2.

Since the domain and range of g(x) are all real numbers then the domain of f(g(x)) are all real numbers

Therefore the correct answer is the option b: f(g(x)) = (1-5x ^ 2) ^ 3

And his domain is all real.

5 0
3 years ago
Read 2 more answers
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