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Mama L [17]
3 years ago
8

What is the length of HL ?

Mathematics
2 answers:
Morgarella [4.7K]3 years ago
5 0

Answer:

21

Step-by-step explanation:

You know the length of JK 12

you also know the length of GF 2.5*12=30

HL is a mid segment because it cuts both legs it intersects in half.

Using the rule saying that the mid segment is half the bases added up we can figure out that HL = (12+30)/2 = 21

Eva8 [605]3 years ago
3 0

Answer:

21

Step-by-step explanation:

Find attached the solution

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Which ordered pair (x, y) is a solution to given system of linear equations?
patriot [66]

Answer:

(\frac{1}{6}, \frac{1}{2}) or (0.167,0.5)

Step-by-step explanation:

Given

3x + y =1

15x + y = 3

Required

Determine the solution

We'll solve using elimination method.

Subtract the first equation from the second:

15x + y = 3

3x + y =1

--------

15x - 3x + y - y = 3 - 1

15x - 3x + y - y = 3 - 1

15x - 3x  = 3 - 1

12x  = 2

Make x the subject:

x = \frac{2}{12}

x = \frac{1}{6}

x =0.167

Substitute \frac{1}{6} for x in the first equation

3x + y =1

3(\frac{1}{6}) + y = 1

\frac{1}{2} + y = 1

Make y the subject

y = 1 -\frac{1}{2}

y = \frac{2-1}{2}

y = \frac{1}{2}

y = 0.5

Hence, the solution is:

(\frac{1}{6}, \frac{1}{2}) or (0.167,0.5)

8 0
3 years ago
A Web music store offers two versions of a popular song. The size of the standard version is 2.3 megabytes (MB). The size of the
dexar [7]
2.3s + 4.6h = 4232
s + h = 1030
h = 1030 - s

2.3s + 4.6(1030 - s) = 4232
2.3s + 4738 - 4.6s = 4232
4738 - 4232 = 4.6s - 2.3s
506 = 2.3s
s = 220

h = 1030 - s
h = 1030 - 220 = 810

there were 810 downloads of the high-quality version
5 0
3 years ago
When Jorge put the pots and pans in the sink,the water level in the sink rose 0.6 inches. If the sink is a rectangular prism wit
Viktor [21]
V_1 - volume without <span>pots and pans
V_2 - volume with </span>pots and pans
V_2-V_1 - volume of pots and pans

V_1=17\cdot23\cdot h=391h\ in^3\\ V_2=391(h+0.6)=391h+234.6\ in^3\\&#10;V_2-V_1=391h+234.6-391h\\&#10;V_2-V_1=234.6 \ in ^3


6 0
3 years ago
a town's population is currently 5,500.if the population doubles every 91 years, what will the population be 182 years from now​
Blizzard [7]

Answer:

I think the answer is 22,000

7 0
4 years ago
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7. On Saturday, a craft store had 150 visitors, and 80% of the visitors made a purchase. Of the customers who made a purchase, 3
torisob [31]

Answer:

24 customers bought 3+ items.

Step-by-step explanation:

80% of 150 = 120

39/120 bought 1 item

57/120 bought 2 items

39 + 57 = 96

120 - 96 = 24

24 customers bought 3+ items.

Hope this helps! :)

8 0
3 years ago
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