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frosja888 [35]
1 year ago
11

Triangle ABC and triangle LMN are similar and have the same orientation. The endpoints of the hypotenuse of triangle ABC are A(2

, -2) and C(8, -5). The hypotenuse of triangle LMN is on the same line as the hypotenuse of triangle ABC and is one-third the length of AC.
What is the the equation of the line that the hypotenuse of triangle LMN lies on?





On the hypotenuse of triangle LMN, if coordinate L is at point (-6, 2), coordinate N is at point ( , ).
Mathematics
1 answer:
Evgesh-ka [11]1 year ago
4 0

Answer:

thanks for your help and support you in whatever way you can get back

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At what rate would you need to invest $12000 and make $2880 after 8 years?
lora16 [44]

Answer:

3\%

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=8\ years\\ P=\$12,000\\I=\$2,880\\r=?

substitute in the formula above

2,880=12,000(8r)

Solve for t

2,880=96,000(r)

r=2,880/96,000

r=0.03

Convert to percent form

0.03*100=3\%

4 0
2 years ago
A machine can manufacture 24,000 plastic balls in 8 hours. Find the unit rate in balls per hour.
Lorico [155]
24,000/8= 3,000 balls

The machine produce 3,000 balls per hour.

Hope that helps!
5 0
2 years ago
Read 2 more answers
choose the correct word to complete the sentence below. A group of related facts that use the same number is called?
oee [108]
A fact family . . . . . . . . . 
7 0
1 year ago
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What is the simplified form of StartRoot StartFraction 72 x Superscript 16 Baseline Over 50 x Superscript 36 Baseline EndFractio
aalyn [17]

Answer:

  StartFraction 6 Over 5 x Superscript 10 Baseline EndFraction

Step-by-step explanation:

Apparently you want to simplify ...

  \sqrt{\dfrac{72x^{16}}{50x^{36}}}

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  1/a^b = a^-b

  (a^b)^c = a^(bc)

__

So the expression simplifies as ...

  \sqrt{\dfrac{72x^{16}}{50x^{36}}}=\sqrt{\dfrac{36}{25x^{36-16}}}=\sqrt{\dfrac{36}{25x^{20}}}\\\\\sqrt{\left(\dfrac{6}{5x^{10}}\right)^2}=\boxed{\dfrac{6}{5x^{10}}}

9 0
1 year ago
If the test scores of a class of 35 students have a mean of 74.3 and the test scores of another class of 28 students have a mean
STALIN [3.7K]
Let the total sum of the scores of the first class of 35 students be a. The mean is 74.3 .

So 
\frac{a}{35}=74.3\\\\a=35\cdot74.3= 2600.5

Also, let the total sum of the scores of the second class of 28 students be b. The mean is 67.6 .

so 
\frac{b}{28}=67.6\\\\ b=28\cdot67.6= 1892.8



The combined group has 35+28=63 students. The sum of their scores is 

a+b=
2600.5+1892.8=4493.3


Thus, the mean of the combined group is \frac{4493.3}{63}= 71.32

6 0
1 year ago
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