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Harlamova29_29 [7]
3 years ago
6

Marcus drew a line from point Y to point W in the rectangle shown below. He created two identical triangles. Classfy the triangl

es by size of their angles and by the lengths of their sides.
Mathematics
1 answer:
VikaD [51]3 years ago
6 0
The triangles that would be created if the rectangle has a length and width that are different is a right scalene triangle.

It will have one right angle and all three sides of the triangle will be different lengths because the hypotenuse (the diagonal will be longer than the other two sides.
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A combined total of $46,000 is invested in two bonds that pay 4% and
valkas [14]


Answer: 4%-16000 and 9.5%-30000

Why:

1) x+y=46000

x=46000-y

2) 4%x+9,5%y=3490;

4x + 9.5y=349000; so 4*(46000-y)+9.5y=349000;

5.5y=165000

y=30000

x=46000-30000=16000


5 0
3 years ago
How many gallons of a 80% antifreeze solution must be mixed with 80 gallons of 15% antifreeze to get a mixture that is 70% antif
konstantin123 [22]

440 gallons of 80 % antifreeze solution must be mixed with 80 gallons of 15% antifreeze to get a mixture that is 70% antifreeze

<em><u>Solution:</u></em>

Let "x" be the gallons of 80 % antifreeze added

Therefore, "x" gallons of 80 % antifreeze solution must be mixed with 80 gallons of 15% antifreeze

Final mixture is x + 80

Therefore, we can frame a equation as:

"x" gallons of 80 % antifreeze solution must be mixed with 80 gallons of 15% antifreeze to get (x + 80) gallons of 70 % antifreeze

Thus, we get,

x gallons of 80 % + 80 gallons of 15 % = (x + 80) gallons of 70 %

x \times \frac{80}{100} + 80 \times \frac{15}{100} = (x+80) \times \frac{70}{100}\\\\0.8x + 80 \times 0.15 = (x+80) \times 0.7\\\\0.8x+12 = 0.7x+56\\\\0.8x-0.7x=56-12\\\\0.1x = 44\\\\x = \frac{44}{0.1}\\\\x = 440

Thus 440 gallons of 80 % antifreeze solution must be mixed

4 0
2 years ago
Please create an argument about a National Landmark/Monument. Do you think there is a monument/landmark out there that should no
Tanya [424]

Explanation:

The tallest national monument in America, it is a legendary engineering triumph, designed by Finnish-born architect Eero Saarinen. As part of the Jefferson National Expansion Memorial, the Gateway Arch serves to commemorate the accomplishments of 19th-century westward pioneers and celebrate the city’s role as the ‘Gateway to the West.’

Hope This Helps :)

4 0
2 years ago
Find the circum center of a triangle whose vertices are (-2, -1) , (-1, 6 ) and (2, 7).​
lina2011 [118]

Answer:

(-1/3; 4)

Step-by-step explanation:

(-2, -1) , (-1, 6 ) and (2, 7).​

x=(-2-1+2)/3= -1/3

y=(-1+6+7)/3=12/3=4

=> (-1/3; 4)

7 0
3 years ago
Does this graph represent a function? Why or why not?
saw5 [17]
No because it does not pass the vertical line test,
meaning that a single vertical line could pass through multiple points on the graph.
7 0
3 years ago
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