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Anestetic [448]
3 years ago
8

What is the length of the side of the triangle labeled x?

Mathematics
1 answer:
cricket20 [7]3 years ago
5 0
It’s C
You would use cos for this equation
Cos(45)= x/5
5 x cos(45
And when you put that in the calculator you will get that answer C
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Given:
oksian1 [2.3K]

Answer:

9 units

Step-by-step explanation:

By the midsegment theorem,

AB=\dfrac{KN+LM}{2}

Since the ratio LM:KN=1:5, then LM=x,\ KN=5x and

18=\dfrac{x+5x}{2}\\ \\18=\dfrac{6x}{2}\\ \\18=3x\\ \\x=6\\ \\LM=6\ units\\ \\KN=30\ units

Draw two heights LE and MF. Quadrilateral ELMF is a rectangle, then EF = LM = 6 units.

Trapezoid KLMN is isosceles trapezoid (KL = MN), then KE = FN and

KE=FN=\dfrac{KN-EF}{2}=\dfrac{30-6}{2}=12\ units

Consider right triangle KLE. By the Pythagorean theorem,

KL^2=LE^2+KE^2\\ \\15^2=LE^2+12^2\\ \\LE^2=15^2-12^2\\ \\LE^2=225-144=81\\ \\LE=9\ units

3 0
3 years ago
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Lubov Fominskaja [6]
The answer is 5 <span>h/km. Because the unit is already in 1 hour, you don't need to divide and h/km is just the Canadian way to say km/h. </span>
3 0
3 years ago
Read 2 more answers
By how much does the dependent variable change in response to a change of 1 unit of the independent variable?
dalvyx [7]

Answer: C) 5

--------------

x = independent variable, y = dependent variable

Assuming this is a linear function, each increase of x by 2 leads to y going up by 10. So 10/2 = 5 is the unit increase each time x bumps up by 1.

-------------------

An alternative is to use the slope formula to get

m = (y2 - y1)/(x2 - x1)

m = (25 - 15)/(4 - 2)

m = 10/2 <--- this expression shows up again

m = 5 <---- leading to the same answer as before

So we see that the slope formula is a more drawn out method to finding the answer.

6 0
3 years ago
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Ok Please Graph x &gt; 2
Anon25 [30]

Answer:

Step-by-step explanation:

4 0
3 years ago
Aaron puts $1,000 in an account that pays 10% interest compounded quarterly. He leaves it in the account for six months. Estimat
Keith_Richards [23]
I think its C or D... idk hope it helps tho
3 0
3 years ago
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