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elena-s [515]
1 year ago
13

Mark the congruent parts of the triangles and complete the proof

Mathematics
1 answer:
eimsori [14]1 year ago
3 0

1) given

2) definition of an angle bisector

3) reflexive

4) \triangle ABD \cong \triangle CBD (ASA)

5) \angle A \cong \angle C (CPCTC)

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Use distributive property to simplify <br> -(x+3y-z)
UkoKoshka [18]

Answer:

-x - 3y + z

Step-by-step explanation:

Think of a imaginary 1(-1 because of the sign) in front of the parenthesis and distribute it to the other number and so x will become -x, 3y will become -3y and -z will become z because two negatives make a positive.

4 0
3 years ago
A bank pays 5% interest compounded annually. What principal will grow to $12,000 in 10 years.
makvit [3.9K]
<h3>Answer: 7366.96 dollars</h3>

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

Use the compound interest formula:

A = P(1+r/n)^(n*t)

where in this case,

A = 12000 = amount after t years

P = unknown = deposited amount we want to solve for

r = 0.05 = the decimal form of 5% interest

n = 1 = refers to the compounding frequency (annual)

t = 10 = number of years

-------

Plug all these values into the equation, then solve for P

A = P(1+r/n)^(n*t)

12000 = P(1+0.05/1)^(1*10)

12000 = P(1.05)^(10)

12000 = P(1.62889462677744)

12000 = 1.62889462677744P

1.62889462677744P = 12000

P = 12000/1.62889462677744

P = 7366.95904248911

P = 7366.96

6 0
3 years ago
If 6 cans of soup cost $1.50, how much will 9 cans cost?
Step2247 [10]

If 6 cans of soup cost $1.50

9 cans cost .......................x?

x = 9 * 1.50 / 6

x = 2.25

Answer

9 cans cost $2.25

3 0
3 years ago
PLZ HELP!!!!<br><br> I got 1,3,4 but I don’t know how to get 2
Stolb23 [73]
What do you need help with? it helps us to know the question!
4 0
3 years ago
Lucid can walk about 3 4/5 miles each hour. about how far can she walk in 2 hours and 45 minutes
juin [17]

Answer:

9.31

Step-by-step explanation:

Distance = 3 ⅘ x 2.45

3 ⅘ = 3.8

3.8 x 2.45 = 9.31

4 0
2 years ago
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