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muminat
2 years ago
7

Solve similar triangles (advanced)

Mathematics
1 answer:
andrew11 [14]2 years ago
5 0

Answer:

Step-by-step explanation:

There are 2 similar triangles.

EDA and CBA

From that we can get the following proportion.

ED / CB = AD / AB

Filling in the letters we get

6/x = (4 + 3)/3            Combine

6/x = 7/3                    Cross Multiply

7x =6*3

7x = 18                        Divide by 7

x = 2.57

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Find the measure of DC if m
kupik [55]

Answer:

  • B. 132°

Step-by-step explanation:

<u>Find the measure of arc BD</u>

  • m∠A = 1/2(arc BC - arc BD)
  • 2*36° = 150° - arc BD
  • arc BD = 150° - 72° = 78°

<u>Find the measure of arc DC</u>

  • arc BD + arc BC + arc DC = 360°
  • arc DC = 360° - (150° + 78°) = 360° - 228° = 132°

Correct choice is B

7 0
3 years ago
Solve the equation for x, where x is a real number (5 points): <br> -2x^2 + 5x + 2 = -3
Juli2301 [7.4K]
Add 3 to both sides so that the equation becomes -2x^2 + 5x + 5 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
                              x = [ -b ± √(b^2 - 4ac) ] / (2a)
                              x = [ -5 ± √(5^2 - 4(-2)(5)) ] / ( 2(-2) )
                              x = [-5 ± √(25 - (-40) ) ] / ( -4 )
                              x = [-5 ± √(65) ] / ( -4)
                              x = [-5 ± sqrt(65) ] / ( -4 )
                              x = 5/4 ± -sqrt(65)/4
The answers are 5/4 + sqrt(65)/4 and 5/4 - sqrt(65)/4..
5 0
3 years ago
Solve the equation below for x:<br><br><br> 0.25(x - 13) = 7
VikaD [51]

Answer:

x=41

Step-by-step explanation:

0.25(x-13)=7

We move all terms to the left:

0.25(x-13)-(7)=0

We multiply parentheses

0.25x-3.25-7=0

We add all the numbers together, and all the variables

0.25x-10.25=0

We move all terms containing x to the left, all other terms to the right

0.25x=10.25

x=10.25/0.25

x=41

4 0
2 years ago
Read 2 more answers
George collects 25 baseball cards each month. How many cards will he have at the end of one year? Complete the equation to help
kaheart [24]
25(cards per month) x12(months in one year) =300 cards at the end of one whole year
4 0
3 years ago
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Can someone please help me with this?
marishachu [46]
V=12, comment if u need an explanation
7 0
3 years ago
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