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sergij07 [2.7K]
3 years ago
8

Find the length of UC

Mathematics
1 answer:
galben [10]3 years ago
6 0

Answer:

18

Step-by-step explanation:

One way to solve this would be to just solve for random lengths, left to right, until we come to find UC.

We know JK = JH + HM + MK = 82 and JH = 22, so

82 = 22 + HM + MK

subtract 22 from both sides to isolate the unknowns

60 = HM + MK = HK

96 = HK + KU - HU

We know HK = 60

96 = 60 + KU

subtract 60 from both sides to isolate the unknown

We know KU = 36

105 = KN = KU + UC + CN

We know KU = 36 and CN = 51

105 = 36 + 51 + UC

105 = 87 + UC

subtract 87 from both sides to isolate the unknown

18 = UC

UC is what we're looking for, so the problem is solved

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Find the slope of the line.
Virty [35]

Answer:

The Slope of a line formula is given by

m=y2 - y1/ x2 - x1

Now Form a triangle using the straight line(It'd be best if you choose known Points on the graph)

Picking points (1, 2) and (2, 5) connect these points and you'll have a small triangle.

x1 y1 x2 y2

Substituting into the formula

m=5-2/2-1

m=3.

3 0
3 years ago
PLEASE HELP Evaluate the limit, if it exists. Show work. lim_(x->5)((x^(2)-3x-10)/(2x-10))
gayaneshka [121]

Answer:

lim \: x \: —>5 \:  \:  \frac{ {x}^{2} - 3x - 10 }{2x - 10}  \\  \\ lim \: x \: —>5 \:  \:  \:  \frac{(x - 5)(x + 2)}{2(x - 5)}  \\  \\ lim \: x \: —>5 \:  \:  \frac{(x + 2)}{2}   =  \frac{5 + 2}{2}  =  \frac{7}{2}  \\  \\  \\  =  \frac{7}{2}  = 3.5

I hope I helped you^_^

3 0
3 years ago
Solve the following equation <br> 2/7x + 2 =<br> 6
Oksi-84 [34.3K]

Answer:

x=1/14

Step-by-step explanation:

2/7x+2=6

left part times 7x = right part times 7x  is:

2+14x=42x

2=28x

x=1/14

3 0
4 years ago
the population pf a city is 2,500. if the number of males is 240 more than the number of females how many males and females are
Masteriza [31]

You need to represent the number of males in terms of females.

Explanation:

Since you know the number of males relative to females, it makes sense to represent the number of females as a variable, let's say f.

So then the number of males is <span>f+240</span> and we know that the number of males plus the number of females is 2500. Knowing this, we can write an equation: <span>f+<span>(f+240)</span>=2500</span>. I put the number of males in brackets there just to make it easy to recognize.

This equation can be condensed into <span>2f+240=2500</span> and then solved:

<span>2f=2500−240</span>
<span>f=<span><span>2500−240</span>2</span></span>
<span>f=1130</span>

Then, we know the number of females, and we can solve for the number of males from here using our male formula: <span>males=f+240</span>. You should then get 1370 as the number of males.

Checking this answer, we see that 1130 + 1370 does equal 2500.


5 0
4 years ago
A frame is 9in wide and 6in tall. If it is reduced to a width of 3in then how tall will it be?​
belka [17]

Answer:

2 inches

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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