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Illusion [34]
3 years ago
7

If HF=4x+9, EF = 5x+3 , and EF is perpendicular to HF, solve for x.

Mathematics
1 answer:
Leno4ka [110]3 years ago
3 0

Answer:

x = 6

Step-by-step explanation:

HF = 4x + 9

EF = 5x + 3

Since FG is perpendicular to EH, ∆EFG and ∆HFG are congruent to each other.

Thus:

HF = EF

4x + 9 = 5x + 3 (substitution)

Collect like terms

4x - 5x = -9 + 3

-x = -6

Divide both sides by -1

x = 6

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Which equation could be used to find the height of the flagpole
Sauron [17]
X = height of pole (in meters)

With respect to the 50 degree angle, the side x is the opposite leg. It is the leg furthest from the reference angle. The hypotenuse is 5 meters. 

The trig function sine ties together the opposite and hypotenuse

sin(angle) = opposite/hypotenuse
sin(50) = x/5
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x = 5*sin(50)

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

Since x = 5*sin(50) isn't listed as an answer choice, let's try using cosine. We can't use it right away because we don't know the adjacent side. What we can do is change the reference angle. The missing angle of the triangle is 90-50 = 40 degrees. Let's make the 40 degree angle the reference angle

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This expression is listed. The answer is choice B

4 0
3 years ago
How many computers must the AB Computer Company sell to break even? Let x be the number of computers.
Eduardwww [97]

Answer:

The Company AB must sell 116 computers to break even

Step-by-step explanation:

we have

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C(x)=145+\frac{1}{4}x ----> equation B

where

C is the cost function

R is the revenue function

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so

equate equation A and equation B

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Solve pls (correctly) brainliest if correct! I, lots of points!
BabaBlast [244]

Answer:

5

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put it in the form y = mx + b where m is the slope and b is the y-intercept

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