Triangles ABC and DEF are similar. If ∠ABC = 101°and ∠BCA = 39°, find the measure of angle FDE.

[tex]\frac{x^2}{3}-\frac{1}{2}=\frac{x}{3}[/tex]

Because there are 3 and 2 as the denominators. Find the lowest number that both 3 and 2 can divide without any quotients, which is 6.

Multiply all whole equation by 6.

[tex]\frac{x^2}{3}(6)-\frac{1}{2}(6)=\frac{x}{3}(6)\\2x^2-3=2x[/tex]

We should get like this. Then move 2x to subtract.

[tex]2x^2-2x-3=0[/tex]

Because the polynomial is a two-degree and a quadratic equation. We solve the value of x by either factoring, using the formula or completing the square.

But I'll use the Quadratic Formula instead as the factoring doesn't seem to work for the Quadratic Equation with square root answers.

[tex]x=\frac{-b±\sqrt{b^2-4ac} }{2a}[/tex]

This is the formula of Quadratic Equation. Ignore the weird letter as it just randomly appears and can't be deleted.

[tex]x=\frac{-(-2)±\sqrt{(-2)^2-4(2)(-3)} }{2(2)} \\x=\frac{2±\sqrt{4+24} }{4} \\x=\frac{2±\sqrt{28} }{4}\\x=\frac{2±2\sqrt{7} }{4} \\x=\frac{1±\sqrt{7} }{2}[/tex]

Therefore, the answer is x = (1±√7)/2

Answer:

C the answer is C but I have to write other things to be able to submit this

Step-by-step explanation:

the answer would be C

Answer:

C

Step-by-step explanation:

The sum is the answer to a addition proble. Since it asks for the sum of 6 and one fifth you would use 6 + 1.5x to find the answer. Hope this helps you

Answer:

{12, 16, 20}

Step-by-step explanation:

12×12+16×16=20×20

pythagorean theorem

Answer:

x=0

Step-by-step explanation:

use math-way it helps

Answer:

First answer:

-16y=-19x+12

16y=19x-12

y=19/16x-3/4

Second answer:

8y=-15x-9

y=-15/8x-9/8

Answer:

B sorry if you im wrong

Step-by-step explanation:

Your welcome :)

Answer:

The answer is B :)

Step-by-step explanation:

Answer:

proportional bc all of them are 1 shirt = 12.95

Answer:

The elevation closest to the sea level is –42ft and the elevation farthest from the sea level is –8ft.

Step-by-step explanation:

Let's assume the elevation above the sea level is on a number line, then we have to arrange the given number from lowest to highest. These are the numbers in ascending order.

–42ft, –20ft, –18ft, –8ft.

From here we see that, the elevation closest to the sea level is –42ft and the elevation farthest from the sea level is –8ft.

Answer:

you need to add number lines, but if you want the equation to be written and solved, then...

Step-by-step explanation:

5x - 25 > -15

     +25    +25

5x > 10

divide both sides by 5

x > 2

Hope this helps!!!

Answer:

z = 9

Step-by-step explanation:

Answer:

f(3) = 7

Step-by-step explanation:

To evaluate f(3), substitute x = 3 into f(x), that is

f(3) = 2(3) + 1 = 6 + 1 = 7

Answer:

75

Step-by-step explanation:

Given That :

Operation cost = $2250 per month

Purchase price per bike = $40

Average selling price per bike = $70

How many bicycles must the store sell each month to break even ;

Break even point = point at which there is net profit / loss = 0

Let number of bicycles store must sell = x

Operation cost + (purchase price * Number of bicycles) = selling price * Number of bicycles

2250 + 40x = 70x

2250 = 70x - 40x

2250 = 30x

x = 2250 / 30

x = 75

To break even 75 bicycles must be sold

Answer:

d

Step-by-step explanation:

it has two 1s for 2 x values

Sawarasenai kimi wa shoujo na no?~

Boku Wa yaRcHin BiCChi nO oSu Da YO!~~

Answer:

-1/5

Step-by-step explanation:

I have the same test

Answer:

The length= 16cm

The width= 6cm

The two long sides are 8cm both so 8 + 8 = 16

And the two short sides are 3cm both so 3 + 3 = 6

So your length should be 16cm and your width 6cm

I HOPE THIS HELPS! ∧   ∧

                              ⊂∵→ω←∵⊃

Answer:

-3 ? from what I got but you dont have it there

Answer:

y= 1/2 X + 3/4

Step-by-step explanation:

..........

Step-by-step explanation:

So, the answer is

y=1/2 X + 3/4

Answer:

b) b=a/h

Step-by-step explanation:

A=bh

Dividing both side by h,

or, b=A/h

OR,

A=bh

or, b=A/h

Answer:

b

Step-by-step explanation:

uhm

Answer:

Angle of elevation = 80°

Step-by-step explanation:

A princess is standing 38 feet from the base of a 217 foot tall tower. What is the angle of elevation from him to the ogre who has his princess held captive?

To solve for angle of elevation, we use the Trigonometric function of Tangent.

tan θ = Opposite side/Adjacent side

Opposite side = Height of the tower = 217 ft

Adjacent side = 38ft

tan θ = 217/38

tan θ = 5.6315789474

θ = arc tan 5.6315789474

= 79.930937301°

Approximately = 80°

Answer:

20/7

Step-by-step explanation:

hope this helps, but basically you divide 20 yards by 7 to get the width of each row

Answer:

8     4 / 7

Step-by-step explanation:

Answer:

But how long after it was thrown does it hit the ground?

Step-by-step explanation:

I need an answer to the second question

Answer:

y=[tex]\frac{3}{5}x[/tex]-6

Step-by-step explanation:

Remember the slope-intercerpt form

y=mx+b

Answer:

0.03

Step-by-step explanation:

3% as a fraction is 3/100. as a decimal it is 0.03. notice when you read the decimal aloud, it is three one-hundredths, which is also the same read aloud in a fraction.

Answer:

A

Step-by-step explanation:

3/100=0.03

:))) Helps?

Answer:

+1.09%

Step-by-step explanation:

Answer:

the answer to this problem is H = -12

Answer:

h=-12

Step-by-step explanation:

You have to isolate h. As such, add 1 to both sides in order to get rid of the -1 on the left side. Then, multiply by 6 on both sides in order to get h by itself.

Answer:

B) j(j^3-5j^2+10)

Step-by-step explanation:

Given: [tex]j^4-5j^3+10j[/tex]

Factor out j: [tex]j(j^3-5j^2+10)[/tex]

We cannot factor out anymore, so the final answer is B) j(j^3-5j^2+10)

Answer:

it is the sum of the initial amount and the additional amount after d days

Step-by-step explanation:

yw!!.

Answer:

I think it may be C? I used desmos to graph it but I'm not 100%