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Free_Kalibri [48]
2 years ago
8

In the figure, Line BD bisecte angle ABC. what is the length of line DC

Mathematics
1 answer:
NemiM [27]2 years ago
6 0

BD is a angle bisector and Angle bisector theorem says
ratio of other sides of the triangle formed by bisector is equal
BA/AD=BC/CD
lets say AD is x so DC will be 4-x
3/x=4.5/4-x
x=1.6
AD=1.6units
so DC=4-x=4-1.6= 2.4 units
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Candace has $20 more than Amar. Their combined money totals $95. Write a system of equations represents this situation
STALIN [3.7K]

Answer:

Candace has $57.5 and Amar has $37.5.

Step-by-step explanation:

x+(x+20)=z

x+20=y

x+y=z

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2x+20=95

2x=95-20

2x=75

x=75/2

x=37.5

37.5+20=y=57.5

5 0
3 years ago
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The sum of two numbers is 64. One number is 8 more than the other. What are the two numbers?
lisabon 2012 [21]

Answer:

28 and 36.

Step-by-step explanation:

Alright, so we are given that the sum of two numbers is 64. Based on this, we know that we are going to be adding because the question said "the sum of two numbers is 64." Sum is the answer to an addition problem. Lets write an equation.

We need a variable, let x be the variable which is the value of the smaller number.

the equation is x+x+8=64

x= to the smaller number

x+8= to the number that is eight more than x or the smaller number.

Before we isolate for x, we need to simplify the expression by combining the like terms.

x plus x equals 2x.

Therefore, we have 2x+8=64.

Our goal is to isolate x, so we need to subtract 8 from both sides. 8 mius 8 is 0, and 64 mius 8 is 56.

Now, we have 2x=56.

We still need to isolate x by dividing both sides by 2. 2 divided by 2 is 1, so we are left with 1x or x. 56 divided by 2 is 28.

x=28.

Great, we found what x or the smaller value is.

Now, we need to find the larger number.

Substitute x as 28 into x+8 to find the number that is 8 more than the smaller number or x. You'll then get 36. If you add 36 and 28, you get 64. Also, 36 is 8 more than 28, so this answer is correct.

Hope this helps!

4 0
3 years ago
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mrs_skeptik [129]

Answer:

Step-by-step explanation:

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6c  + 2w = 22

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3c + 6.25 = 16

3c = 9.75

c = $3.25 per lb

5 0
3 years ago
16 = M - 14 what is the answer for this Question. thank you!
Ivenika [448]
16+14 = 30.

30 is your answer
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A square garden has 49 square feet. So the perimeter of the garden must be----feet.
lianna [129]

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7 0
2 years ago
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