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PtichkaEL [24]
3 years ago
6

Need help with this problem its really complicated for me

Mathematics
1 answer:
ddd [48]3 years ago
8 0

You can write a proportion because the two triangles are similar

\frac{x}{x-2} = \frac{x + x + 5}{x + 1 + x - 2} (the second fraction is longer because I added the full lengths of the larger triangle)  cross multiply to get (x)(x + 1 + x - 2) = (x - 2)(x + x + 5)

which simplifies to (x)(2x - 1) = (x - 2)(2x + 5)

then 2x² - x = 2x² + 5x -4x - 10

then 2x² - x = 2x² + x - 10

then 2x² = 2x² + 2x - 10

subtract 2x² from both sides to get 0 = 2x - 10

add 10 to both sides to get 10 = 2x

divide both sides by 2 to get 5 = x

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Nolan rides his bike 63 miles in 270 minutes. What is his average speed in miles per hour?
boyakko [2]
Here, to find the average rate of change, you would simply divide 270 by 63. And when that is done, you would get a long decimal. 4.285714285714286

And since you obviously can't put in such a long decimal as your answer, you would round it instead. Once rounded, you would end up with 4.29 (because the number after 8 is five, which rounds up, which would turn the 8 to 9.)
8 0
3 years ago
Can sombody plz help me with these two questions And please explain
HACTEHA [7]

Answer:

what are we supposed to help with? is there a picture or something?

Step-by-step explanation:

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A rhombus has coordinates A(-6, 3), B(-4, 4), C(-2, 3), and D(-4, 2). What are the coordinates of rhombus A′B′C′D′ after a 90° c
Liula [17]

We are given that the coordinates of the vertices of the rhombus are:
<span><span>A(-6, 3)
B(-4, 4)
C(-2, 3)
D(-4, 2)

To solve this problem, we must plot this on a graphing paper or graphing calculator to clearly see the movement of the graph. If we transform this by doing a counterclockwise rotation, then the result would be:
</span>A(-6, -3)</span>
B(-4, -4)
C(-2, -3)
D(-4, -2)

 

And the final transformation is translation by 3 units left and 2 units down. This can still be clearly solved by actually graphing the plot. The result of this transformation would be:

<span>A′(6, -8)
B′(7, -6)
C′(6, -4)
D′(5, -6)</span>

7 0
3 years ago
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Fun fact<br> Bananas are curved because they grow towards the sun ☀️
Phoenix [80]

Answer:

true

Step-by-step explanation:

3 0
2 years ago
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The width of a rectangle is 6 2/3 inches. The length of the is twice it’s width. What so the perimeter of the rectangle?
Nookie1986 [14]
\text {Width = }  6\dfrac{2}{3}  \text { inches}&#10;


The length is twice its width:
\text {Length = } 2 \times 6\dfrac{2}{3} \text { inches}

Change to improper fraction:
\text {Length = }2 \times \dfrac{20}{3} \text { inches}

Combine into single fraction:
\text {Length = } \dfrac{40}{3} \text { inches}


Find Perimeter :
\text {Perimeter = Length + Length + Width + Width}

\text {Perimeter = } \dfrac{40}{3} + \dfrac{40}{3}   + \dfrac{20}{3}   + \dfrac{20}{3} = \dfrac{120}{3}  = 40 \text { inches}


\bf \text {Answer: Perimeter =  40 inches}
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3 years ago
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