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3 years ago

12

Triangle FEG is similar to triangle IHJ. Find the value of x. PLEASE ANSWER!!!!

2 answers:

Vlada [557]3 years ago

8 0

Answer:

x=24

Step-by-step explanation:

60/45=36/x+3

4/3=36/x+3

108=4x+12

96=4x

x=24

gogolik [260]3 years ago

5 0

Answer:

24

Step-by-step explanation:

the triangle on the left has dimensions 1.25x greater than the one on the right, because the bottom side of the triangle measures 45 units, but it measures 60 on the right. knowing this you can find that the side length on the left of the right triangle is 27, so x + 3 must be 27. x=24

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Find the value of x<br><br>urgent!! plz help me! will give the brainliest

Anarel [89]

Answer:

x = 2

Step-by-step explanation:

$\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0$

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we divided by 2 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

$\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0$

→ Expand the brackets

$\frac{1}{2} x- \frac{1}{2}-\frac{1}{6}x -\frac{1}{6} =0$

→ Multiply everything by 12 to make solving the equation easier

6x - 6 - 2x - 2 = 0

→ Simplify equation

4x - 8 = 0

→ Add 8 to both sides to isolate 4x

4x = 8

→ Divide by 4 on both sides to isolate x

x = 2

⇒ We can substitute x = 2 back into the equation to see if the solution is correct, if we get 0 on both sides then x = 2 is correct

$\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0$

⇒ Substitute in the values

$\frac{1}{2} (2-1)-\frac{1}{6} (2+1) = 0$

⇒ Simplify

$\frac{1}{2} (1)-\frac{1}{6} (3) = 0$

⇒ Simplify further

$\frac{1}{2} -\frac{1}{2} =0$

0 = 0

The solution x = 2 is correct

4 0

3 years ago

How many meters did Nathan jog

marin [14]

Answer:

x meters

Step-by-step explanation:

6 0

3 years ago

If f(x)=7x and g(x)=6x-3,find (f*g)(x)

Dovator [93]

$(f\cdot g)(x)=f(x)\cdot g(x)\\\\
(f\cdot g)(x)=7x(6x-3)=42x^2-21x
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7 0

4 years ago

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th

mash [69]

Answer:

The rocket hits the gorund after approximately 10.71 seconds.

Step-by-step explanation:

The height of the rocket <em>y</em> in feet <em>x</em> seconds after launch is given by the equation:

$y=-16x^2+165x+69$

And we want to find the time in which the rocket will hit the ground.

When it hits the ground, its height above ground will be 0. Hence, we can let <em>y</em> = 0 and solve for <em>x: </em>

<em /> $0=-16x^2+165x+69$ <em />

We can use the quadratic formula:

$\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

In this case, <em>a</em> = -16, <em>b</em> = 165, and <em>c </em>= 69.

Substitute:

$\displaystyle x=\frac{-165\pm\sqrt{(165)^2-4(-16)(69)}}{2(-16)}$

Evaluate:

$\displaystyle x=\frac{-165\pm\sqrt{31641}}{-32}=\frac{165\pm\sqrt{31641}}{32}$

Hence, our solutions are:

$\displaystyle x_1=\frac{165+\sqrt{31641}}{32}\approx 10.71\text{ or } x_2=\frac{165-\sqrt{31641}}{32}\approx-0.40$

Since time cannot be negative, we can ignore the first answer.

So, the rocket hits the gorund after approximately 10.71 seconds.

7 0

3 years ago

Find the midpoint between two points on a number line if one of the points is at -7, and the other point is at 12.

weqwewe [10]

Answer:

The middle point is 3

Step-by-step explanation:

4 0

3 years ago

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