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Lostsunrise [7]
3 years ago
5

Find the missing length. The triangles in each pair are similar.

Mathematics
1 answer:
oee [108]3 years ago
5 0

Answer:

Step-by-step explanation:

This a not so simple ratio problem:

     MN is to LN as TN is to UN as MT is to LU

     MN/LN    =   TN/UN    =   MT/ LU         trying to find LU

     88 / (? + 32)   =  (88-56)/32   = 56/?

                            =     32 / 32   = 56 / ?        

                                   1  =  56 / ?  

                                   ?  = 56  

     88 / (56 +32)  = 1      This must be an Isosceles triangle and UT bisects

                                       LN and MN

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2 years ago
Use substitution to solve the system of equations. Write your solution in decimal form
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Type the answers in the boxes below.
Vaselesa [24]

Let m and h represent hours Mai spends mowing and hauling, respectively. Then (m+h) will be the number of hours Priya spends babysitting. In order for their earnings to be equal, we must have  

 7m +14h = 8.40(m+h)

 Subtract 7m+8.40h:  5.60h = 1.40m

 Divide by 1.40:  m = 4h

Then the total number of hours worked by either person is

 m + h = (4h) +h = 5h

When only whole numbers of hours are worked, the smallest number of hours that will make earnings equal is 5h, with h=1, or 5 hours. In that time, each will earn 5×$8.40 = $42.

Therefore, each of them must work 5 hours and earn $42 before they go to the movies and Mai will work 4 hours mowing and 1 hour hauling.

5 0
2 years ago
Read 2 more answers
What is the decimal equivalent of 8/3?
kenny6666 [7]
C
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6 0
3 years ago
Read 2 more answers
(40 POINTS)
34kurt

Answer:

1.   y= 25400(1 + 0.11)^x

2.  2019

Step-by-step explanation:

1. y = a(1 + r)^x       <em> </em>

<em>(exponential growth formula :</em>

<em>a = initial value (the amount before measuring growth or decay) </em>

<em>r = growth or decay rate (usually represented as a percentage and expressed as a decimal) </em>

<em> x = number of time units that have passed)</em>

y= 25400(1 + 0.11)^x

so in 1 year, in 1996, we would say

y=25400(1+0.11)^1

y=25400(1.11)

y=28194

2. I found the answer by plugging in numbers into x

with x = 24

y= 25400(1+0.11)^24

y= 310874

so in 24 years, the population will surpass 302438 which would be 1995+24= 2019

3 0
3 years ago
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