please help. solve for x. (i’ll give brainles if you help with all!

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:

Step-by-step explanation:

3x + 4y = 17

5x - 4y = 7

you can thus cancel out 4y

Hence

8x = 24

Hence x = 3

Substituting’

3(3) + 4y = 17

9 + 4y = 17

Hence 17 - 9/4

= y = 2

Hope this helps

Answer:

D, 6 x 3 x 3

Step-by-step explanation:

One area of a square is 3 x 3 there are 6 squares so we multiply by 6 too.

Answer:

448 yd^3

Step-by-step explanation:

V = Bh  where B is l * w

V = l*w*h

V = 8* 14* 4

  =448 yd^3

Answer:

The volume of this rectangular prism is equal to [tex]448yd^{3}[/tex].

Step-by-step explanation:

From the question, we know the formula for the volume of a rectangular prism is V = Bh (where B is length times width, and "h" is the height).

Now we replace B (because we know that B is length times width) and get...

V = lwh (where "l" is the length of the prism, and "w" is the width of the prism.

Now we just substitute the values and get...

[tex]V = lwh = (14)(4)(8) = 448yd^{3}[/tex]

Answer:

No solution.

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

once you fill in the Blanks that are solvable, you will work your way into the answer. For example, the first column, the missing number has to be 155-76 or 79. Now you can find your answer. In the second row, “no Laptop”, you have 79 (solved above) plus 17. So your answer is 79+17 or 96.

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:

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:

[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:

81 un²

Step-by-step explanation:

9 · 7 = 63 un²

(b · h) ÷ 2

(5 · 4) ÷ 2 = 10 un²

(4 · 4) ÷ 2 = 8 un²

8 un² + 10 un² + 63 un²

81 un²

Answer:

81 un^2

Step-by-step explanation:

Find area of the rectangle. 9 x 7 = 63

Find area of the triangle. 9 x 4 = 36/2=18

63 + 18 = 81

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:

x would equal 40

Step-by-step explanation:

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

4x+20=180

x=40

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:

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:

10

Step-by-step explanation:

6-3=3 then power of 2 which is 9 then plus 1

Answer:

C

Step-by-step explanation:

Substitute 6 for "x" in (x - 3)² + 1

(6 - 3)² + 1

We now evaluate the expression using PEMDAS

Parenthesis

Exponents

Multiplication and division ( from left to right )

Addition and subtraction ( from left to right )

Step 1: parenthesis

6 - 3 = 3

We would then have (3)² + 1

step 2: exponents

3²=9

we would then have 9 + 1 which = 10

Hence, the answer is C

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:

there is no enough data to find the answer

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:

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:

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:

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:

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:

2^-9

Step-by-step explanation:

Answer:

that would be 1

Step-by-step explanation:

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

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:

C

Step-by-step explanation:

4(5)+10-12=18