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maksim [4K]
3 years ago
6

Math help with triangles please help (15 points)

Mathematics
1 answer:
babunello [35]3 years ago
5 0
Cpctc because corresponding parts of congruent triangles are congruent. <span />
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A line segment has (x1, y1) as one endpoint and (xm, ym) as its midpoint. Find the other endpoint (x2, y2) of the line segment i
Tasya [4]

Answer:

(3,7) for the first line, and (12,0) for the second one.

Step-by-step explanation:

Hi Isabella,

1) The Midpoint of a line, when it comes to Analytical Geometry, is calculated as Mean of two points it follows:

x_{m}=\frac{x_{1} +x_{2} } {2}, y_{m} =\frac{y_{1}+ y_{2} }{2}

2) Each segment has two endpoints, and their midpoints, namely:

a) (1,-9) and its midpoint (2,-1)

b) (-2,18) and its midpoint (5,9)

3) Calculating. You need to be careful to not sum the wrong coordinates.

So be attentive!

The first line a

2=\frac{1+x_{2} }{2}\\  4=1+x_{2}\\  4-1=-1+1+x_{2} \\ x_{2}=3\\-1=\frac{y_{2}-9}{2}\\-2=y_{2}-9\\+2-2=y_{2}-9+2\\ y_{2}=-7

So (3,7) is the other endpoint whose segment starts at (1,-9)

The second line b endpoint at (-2,18) and its midpoint (5,9)

5=\frac{-2+x_{2} }{2} \\ 10=-2+x_{2} \\ +2+10=+2-2+x_{2}\\ x_{2}=12 \\ \\ 9=\frac{18+y_{2} }{2} \\ 18=18+y_{2} \\ -18+18=-18+18+y_{2}\\ y_{2} =0

So (12,0) it is the other endpoint.

Take a look at the graph below:

8 0
3 years ago
Tell whether the ratios are equivalent: 3 days to 4 hours and 9 days to 12 hours. show your work.
bonufazy [111]

Answer:

yes.

Step-by-step explanation:

write these ratios as fractions to see if they are proportional

3/4

9/12 -------> this can be simplified by dividing by 3

       = 3/4

therefore yes they are equivalent

5 0
3 years ago
1<br>Prove that<br>1: sin/1-cot + cos/1-tan=cos+sin​
Anit [1.1K]

Answer:

have:

\frac{sin}{1-cot}+\frac{cos}{1-tan}\\\\=\frac{sin}{1-\frac{cos}{sin} }+\frac{cos}{1-\frac{sin}{cos} }\\\\=\frac{sin^{2} }{sin-cos}+\frac{cos^{2} }{cos-sin} \\\\=\frac{sin^{2} }{sin-cos}-\frac{cos^{2} }{cos-sin}\\\\=\frac{sin^{2}-cos^{2}  }{sin - cos}\\\\=\frac{(sin-cos)(sin+cos)}{sin-cos}\\\\=sin+cos

Step-by-step explanation:

4 0
3 years ago
A Grocery store sells steak for $6.10 per pound.What would be the cost of 2 3/5 LB of steak?
77julia77 [94]
<h2>Answer:</h2>

<u>The cost would be </u><u>$15.86</u>

<h2>Step-by-step explanation:</h2>

The cost of 1 steak is $6.10

The cost of 2 3/5 steaks will be

Cost of  2 3/5 steaks = 6.10 * 2 3/5

Cost of  2 3/5 steaks = $15.86

8 0
3 years ago
0.25r-0.125+.5r=0.5r show work please want to check mine
Vesna [10]
0.25r-0.125+0.5r=0.5r 0.75r-0.125=0.5r -0.125= -0.25r r=0.5
4 0
3 years ago
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