please answer accurately with a full explanation and please don't do short answers thank u, and if u spam this question u will be reported. please answer with a proper answer, not a short one thank u so much

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:

Ours is today. Feels weird how we came a long way with the pandemic presiding our academic studies.

Step-by-step explanation:

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:

C

Step-by-step explanation:

4(5)+10-12=18

Answer:

No solution.

Step-by-step explanation:

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

Answer:

204/841

Step-by-step explanation:

17/29 times 12/29

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:

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:

y= -3/2X + 2

Step-by-step explanation:

we get the gradient by picking any two points from the graph( it a linear graph)

using the point:

(x,y)= (-2,5) , (4,-4)

using M= (y2-y1)/x2-x1)

we get our gradient to be -9/6 which is

-3/2

using the equation of a straight line graph which is

y-y1=m(x-x1) and the point (4,-4)

we get

y-(-4)=-3/2(x-4)

----> y+4= -3/2x + 6

make y subject of the formula to take the form

y=mx+c

we get :

y=-3/2x + 2

Answer:

Component Form: v = <-1,6>

Magnitude of v: ||v|| = √37

Direction of v: θv = 100° (to the nearest degree)

Step-by-step explanation:

Component Form: v = <(5-6),(3-(-3))> = <-1,6>

Magnitude of v: ||v|| = √[(-1)²+(6)²] = √(1+36) = √37

Direction of v: α = tan⁻¹|6/-1| = tan⁻¹|-6| = tan⁻¹(6) = 80.53° which is your reference angle, but to verify that the angle is in the second quadrant, you'll need to do θv = 180° - 80.53° = 99.47°, therefore your direction angle is θv=100° to the nearest degree.

Answer:

.25

Step-by-step explanation:

hundredth's is the second place over so you look the the 3rd number. 4 or less it stays the same 5 or more you add one

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:

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:

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:

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:

Step-by-step explanation:

god bless

[tex]a[/tex]

Answer:

a Answers is A

b Answer is D

Step-by-step explanation:

he sayed that the X doubles in the first one so its ×2

and in the second one he sayed that the x is only triples so we dont have to Multiply we have to devide it 5/x/3=5/x ×1/3

Answer:

The answer is 12

Step-by-step explanation:

If you would like you could use this tool https://www.omnicalculator.com/math/right-triangle-side-angle

Also 12, 35, 37 is a pythagorean triple further proving that tyheanswer is 12.

Answer:

-3x^2+15x

Step-by-step explanation:

3x(5-x)

3x(-x+5)

-3x^2+15x

Answer:

Area of Rectangle = 28 cm²

Step-by-step explanation:

Given - A rectangle has coordinates (2, 6) (9, 6) (9, 10) and (2, 10) on a grid with 1 cm squares.

To find - What is the area of the shaded rectangle?

Solution -

The graph of the rectangle is as follows :

From the diagram, e can see that

Length of Rectangle = 7 units (cm)

Breadth of Rectangle = 4 units (cm)

We know that,

Area of Rectangle = Length × Breadth

                              = 7 × 4

                              = 28 cm²

⇒Area of Rectangle = 28 cm²

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:

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:

C... 3

Step-by-step explanation:

Answer:

I need a list of numberlines or some other kind of explaination on how to solve this problem. I caint help you on this with out them. Sorry.

Step-by-step explanation:

Answer:

x would equal 40

Step-by-step explanation:

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

4x+20=180

x=40

Answer:

Step-by-step explanation:

1. Slope

2. Hypotenuse