Equation that represents four more than x is twelve

Given:

In triangle ABC, AE is the angle bisector.

[tex]AB=4, BE=2, AC=x, CE=3[/tex]

To find:

The value of x.

Solution:

According to the angle bisector theorem, the angle bisector of a triangle divides the opposite side of the triangle into two parts. These two parts are proportional to the other two sides of the triangle.

Using the angle bisector theorem, we get

[tex]\dfrac{AB}{AC}=\dfrac{BE}{CE}[/tex]

[tex]\dfrac{4}{x}=\dfrac{2}{3}[/tex]

On cross multiplication, we get

[tex]4\times 3=2\times x[/tex]

[tex]12=2x[/tex]

Divide both sides by 2.

[tex]\dfrac{12}{2}=x[/tex]

[tex]6=x[/tex]

Therefore, the value of x is 6.

Answer:

2.greatest common factor is 4

3.[tex]x^{2}[/tex]-3x-10

[tex]x^{2}[/tex]-(5-2)x-10

[tex]x^{2}[/tex]-5x+2x-10

x(x-5)+2(x-5)

(x+2)(x-5)

Step-by-step explanation:

Answer:

2. 4

3. (x+2)(x−5)

Step-by-step explanation:

Question One.

Factor 8x+12

8x+12

4(2x+3)

Question Two.

Factor [tex]x^{2}[/tex]−3x−10

The middle number is -3 and the last number is -10.

Factoring means we want something like:

(x+_)(x+_)

We need to figure out which numbers go in the blanks.

You will need two numbers. They need to...

Add together to get -3.

Multiply together to get -10.

2+-5=-3

2·-5=-10

Fill in the blanks.

(x+2)(x-5)

Answer:

(x+2)(x−5)

Answer:

$288.00

Step-by-step explanation:

Im just going off what my calculator told me, but im 95% sure its correc

450- 60%= 180

180+60%=288

Answer:

1.344 cubic units

Step-by-step explanation:

Given data

Base edge a= 1.2

Hieght= 2.8

The expression for the volume of a pyramid is

V= a^2h/3

substitute

V= 1.2^2* 2.8/3

V= 1.44*2.8/3

V= 4.032/3

V= 1.34cubic units

Answer:

0---22.5   and    21---36

Step-by-step explanation:

you will always have 21 free CDs so you can put a closed circle on 21 then you can have a max of 15 CDs (180/12) soo put another closed circle on 36

now time for tapes, which is easier, the minimum is 0 and the max is 22.5. Now put closed circles on each and you're done. Except that .5 might get you in trouble, use your own discretion on rather to leave it on the .5 or round. I don't know what your teacher is looking for so I will let you decide.

Answer:

C... 3

Step-by-step explanation:

Answer:

y = 2x +14

Step-by-step explanation:

We need to convert the given equation into slope intercept form ,

=> y - 6 = 2(x+4)

=> y -6= 2x + 8

=> y = 2x +8+6

=> y = 2x + 14

Answer:

Step-by-step explanation:

When we transpose - 4x to the LHS then it becomes positive i.e +4x

Now we transpose 28 to the RHS then it becomes negative i.e - 28

So the first step you have to is,

4x = - 12 - 28

Answer:

excuse me, but how do we answer this? This question is unanswerable without it being a question!

Step-by-step explanation:

Question: Find the circumference of the circle to the nearest hundredth

d = 11cm

Answer:

34.54 cm

Step-by-step explanation:

Applying,

P = πd...................... Equation 1

Where P = Circumference of perimeter of the circle, d = diameter of the circle, π = pie

From the question

Given: d = 11 cm

Constant: π = 3.14

Substitute these values into equation 1

P = (3.14×11)

P = 34.54 cm

Answer:

1847.26 yards cubed

Step-by-step explanation:

V=πr^2h

π*49*12= 1847.26

Have a good day :)

Step-by-step explanation:

|3x - 4| = 6

3x-4 = 6 or 3x-4 = -6

3x=6+4 3x=-6+4

3x=10 3x = -2

x= 10/3 x = -2/3

so, x1= 10/3 or x2 = -2/3

Answer:

The smallest number is 7

Step-by-step explanation:

Using simultaneous equation;

x+y = 18.....(1)

4x-y = 17.....(2)

from equation (1)..

x+y = 18

y = 18-x...(3)

substitute y into equation (2)

4x-y = 17

4x-(18-x) = 17

4x-18+x = 17

4x+x = 17+18

5x = 35

x = 35÷5

x = 7

substitute x into equation (3)

y = 18-x

y = 18-7

y = 11

Therefore; x=7

y=11

11+7=18

(4×7)-11=17

the smallest number is 7

Answer:

18

Step-by-step explanation:

2^3 = 8

4^2 = 16

8+16=24

3/4 of 24 Is 18

Answer:

18

Step-by-step explanation:

[tex] \frac{3}{4} (8 + 16) \\ \frac{3}{4}(24) \\ 3 \times 6 \\ 18[/tex]

Answer:

A.

Step-by-step explanation:

64/4=16  80/5=16 They are multiplied by the same number so it is A

Answer:

2/21 * (6x-7)

Step-by-step explanation:

1/21 * (3*4x - 14)

1/21* (12x-14)

1/21* 2(6x-7)

2*1/21 * (6x-7)

2/21* (6x-7)

Answer:

3220 cm²

Step-by-step explanation:

Lets find the area of the two triangles

I am making a modification:

Both of the triangles are the same, so I wont divide by 2 using the area of triangle formula 1/2(b * h) because we end up multiply by 2

Area of triangles = 15 cm x 28 cm = 420 cm²

Area of front facing parallelogram = 24 cm x 4(10)cm = 100(10)cm = 1000 cm²

Area of back facing parallelogram = 17 cm x 40 cm = 680 cm²

Area of bottom parallelogram = 40 cm x 28 cm = 1120 cm²

Total Surface area = 420 cm² + 1000 cm² + 680 cm² + 1120 cm² = 1100 cm² + 2120 cm² = 3220 cm²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

solution given:

length[l]=3 in

breadth [b]=5in

height [h]=8in

total surface area of the rectangular prism=?

we have

total surface area of the rectangular prism

=2[lb+bh+lh]

=2[3*5+5*8+3*8]

=158 in²

total surface area of the rectangular prism is 158 in².

Answer:

158

Step-by-step explanation:

formula is 2(hL+wh+lw)

Length- 3

width- 5

height - 8

Substitue values and get answer.

2 (24+ 40+15)

2 (79)

= 158

have a wonderful day!

Answer:

Toby began his math homework at 6:38 pm.

He finished at 7:09 pm.

How many minutes did Toby spend on his math homework?

Step-by-step explanation:

Answer:

y = 8 - 5x, y(-2) = 18, y(0) = 8, y(3) = -7

Step-by-step explanation:

y + 5x = 8

y = 8 - 5x

y(-2) = 8 - 5*(-2) = 8 + 10 = 18

y(0) = 8 - 5*(0) = 8 - 0 = 8

y(3) = 8 - 5*(3) = 8 - 15 = -7

Answer:

[tex]Given~quadratic ~function : 1=x^2-6x[/tex]

[tex]here,a=1,b=-6[/tex]

[tex]so, the~numbers~which ~we ~need ~to ~add....[/tex]

➜ [tex](\frac{b}{2} )^2[/tex]

➜ [tex]=(\frac{-6}{2})^2[/tex]

➜[tex]=(-3)^2[/tex]

➜ [tex]=9[/tex]

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

hope it helps...

have a great day!!

Answer: $30.89

Step-by-step explanation: you time $9.49 by three (28.47) then you find 8.5% of that total (2.41995) and then you add that to the total for the three bears and round to the nearest cent

Answer:

1

Step-by-step explanation:

y2 - y1/ x2 - x1

3-2/ 5-4 = 1/1 = 1

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

there is no enough data to find the answer

Answer:

t = 0.0475p

Step-by-step explanation:

If

p = paycheck ; t = amount paid in state income tax

Amount contributed towards retirement :

5% of p ; 0.05p

Amount left :

Paycheck - contribution

p - 0.05p = 0.95p

Amount paid in state income tax :

5% of amount left

5% of 0.95p

5/100 * 0.95p

0.05 * 0.95p

= 0.0475p

Hence, state income tax, t = 0.0475p

Answer:

C

Step-by-step explanation:

Have a good day :)

Answer:

x would equal 40

Step-by-step explanation:

x+(2x-5)+(x+25)=180

4x+20=180

x=40

Answer:

that would be 1

Step-by-step explanation:

in this equation x=74 and 74/74 equals one