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Lelu [443]
3 years ago
6

Explain if triangle ZHY is similar to triangle JHI . Justify your answer given the following information: HY = 3, YZ = 6, HZ = 7

and YI = 3, IJ = 12, HJ = 14
Mathematics
2 answers:
mestny [16]3 years ago
6 0
Yes, triangle ZHY and JHI are similar triangles because if you multiply each side on Triangle ZHY by 2, they equal the sides of the Triangle from IHJ.

For example, ZH x 2= JH  ,    YZ x 2= IJ
Jet001 [13]3 years ago
4 0

Answer:

You would use the Side-side-side similarty postulate    

Step-by-step explanation

HY/HI = 3/6 = .5  

HZ/HJ = 7/14 = .5

YZ/IJ = 6/12 = .5    


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What is an equation of the line that passes through the points (-4,1) and (4,4)?
Ray Of Light [21]

Answer:

y = \frac{3}{8} x +  \frac{5}{2}

Step-by-step explanation:

☆Remember: m =  \frac{y_2 - y_1}{x_2 - x_1}

☆Remember: Slope-intercept form -> y = mx + b

☆Now. We first need to find the slope.

m =  \frac{4 - 1}{4 -  (- 4)}  =  \frac{3}{8}

☆Now the y-intercept.

y =  mx + b \\  \\ 4 =  \frac{3}{8} (4) + b \\  \\ 4 =  \frac{3}{2}  + b \\   \frac{ -  \frac{ 3}{  2} =  -  \frac{ 3}{ 2}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  }{ \frac{5}{2} = b }

8 0
3 years ago
Solve -2.5n + 8.7 > 5.45.
AlexFokin [52]
A. n<1.3

-2.5n+8.7>5.45
subtract 8.7 from both sides
-2.5n>-3.25
divide -2.5 from both sides 
(since you divided by a negative you flip the sign!!)
n<1.3


5 0
3 years ago
7 | 3 + T | + 8 &lt; 43
ziro4ka [17]

Answer:

T<7

Step-by-step explanation:

21+7T+8<43

29+7T<43

7T<43‒29

7T<14

7T/7<14/7

T<7

i think it is clear &i hope it helps you

3 0
3 years ago
Find the equation of the line shown below...
vovangra [49]

Answer:

y = -1/4x+2

Step-by-step explanation:

We can find the slope by finding two points on the line, and doing (y1-y2) ÷ (x1-x2). The two points I chose were (0,2), and (4,1). We can plug this into the equation to get (2-1) ÷ (0-4), to get -1/4, which is our slope. We can see on the graph, that the line intersects with the y axis when the y coordinate is 2, making the y-int 2.

4 0
3 years ago
Read 2 more answers
You are wakeboarding on a river. You travel 2 miles downstream to a marina for supplies, and then you travel 3 miles upstream to
Zielflug [23.3K]

Let x represent the speed of of boat.

We have been given that the river current is 3 miles per hour.  

The speed of boat upstream will be x-3.

The speed of boat downstream would be x+3.

\text{Time}=\frac{\text{Distance}}{\text{Speed}}

We have been given that you travel 2 miles downstream to a marina for supplies, and then you travel 3 miles upstream to a dock.

We can represent this information in an equation as:

\text{Time}=\frac{2}{x+3}+\frac{3}{x-3}

Since the speed of the boat is 18 miles per hour, so we will substitute x=18 in above equation and solve for time.

\text{Time}=\frac{2}{18+3}+\frac{3}{18-3}

\text{Time}=\frac{2}{21}+\frac{3}{15}

\text{Time}=\frac{2}{21}+\frac{1}{5}

\text{Time}=\frac{2\cdot 5}{21\cdot 5}+\frac{1\cdot 21}{5\cdot 21}

\text{Time}=\frac{10}{105}+\frac{21}{105}

\text{Time}=\frac{31}{105}

\text{Time}=0.295238095

Since time is in hours, so let us convert our given time in minutes.

1 hour = 60 minutes.

\text{Time}=0.295238095\times 60\text{ minutes}

\text{Time}=17.7142857\text{ minutes}

Rounding to nearest tenth of minute.

\text{Time}\approx 17.7\text{ minutes}

Therefore, it will take approximately 17.7 minutes for the boat to take the trip.

3 0
3 years ago
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