Cho ∆ABC;phân giác AD,BE,CF cắt nhau tại I . a, Góc IAC+góc IBC+ góc ICA=? b, Kẻ IH vuông góc với BC . C/m Góc BIH=góc CID

Answer:

C

Step-by-step explanation:

Given

2(5x + 3) + 2 = 10x + 6 ← distribute and simplify left side

10x + 6 + 2 = 10x + 6

10x + 8 = 10x + 6 ( subtract 6 from both sides )

10x + 2 = 10x ( subtract 10x from both sides )

2 = 0 ← not possible

This indicates the equation has no solution

Answer:

no solutions

Step-by-step explanation:

2(5x + 3) + 2 = 10x + 6

* solve for x *

step 1 distribute the 2 to 5x and 3

2 * 5x = 10x

2*3=6

we now have 10x + 6 + 2 = 10x + 6

step 2 combine like terms

6 + 2 = 8

we now have 10x + 8 = 10x + 6

step 3 subtract 10x from each side

10x-10x=0

10x-10x=0

we're left with 8 = 6

8 is not equal to 6 meaning that there are no solutions to the equation

Answer:

its (1,-3) if you got it wrong just let me know :3

Answer:

x = 80

Step-by-step explanation:

Both angles together form 180, therefore x is 80

Answer:

x = 80

Step-by-step explanation:

100 and x form a straight line so they add to 180

x+100 =180

Subtract 100 from each side

x = 180-100

x = 80

Step-by-step explanation:

arc CAD = 2×63= 126°

< ADB = ½×180 = 90°

arc AD = 126-36 = 90°

< ABD = ½×90° = 45°

< BAD = 180-90-45 = 45°

arc BD = 2×45 = 90°

Answer:

the missing side is 6

Step-by-step explanation:

Using the Pythagorean theorem, ([tex]a^{2} + b^{2} = c^{2}[/tex]), for right triangles, you get [tex]4^{2} + (2\sqrt{5}) ^{2} = c^{2}[/tex].  Since the square cancels the square root for side b you get [tex](2^{2})*(5)[/tex] which equals 20. This makes your equation go to 16+20 = [tex]c^{2}[/tex]. Then add the numbers to make [tex]36=c^{2}[/tex]  solve for c by taking the square root of both sides to get c = 6.

Answer:

-30a⁵b + 12a⁴b² + 16a³b² - 4a²b⁴ - 2ab³

Step-by-step explanation:

( - 6a³b + 2ab²)( 5a² - 2ab² b)

multiply the second parantheses by each term from the first parantheses.

-6a³b×(5a²- 2ab²b -b)+2ab×(5a² -2ab²b-b)

-6a³b× (5a² - 2ab² b) +2ab × (5a² - 2ab² b)

-30 a⁵b + 12a⁴b² + 6a³b²+ 10a³b² - 4a²b⁴ - 2ab

combine like terms

-30a⁵b + 12a⁴b² + 16a³b² - 4a²b⁴ - 2ab³

Answer:

43347

Step-by-step explanation:

just move decimal to the right 4 times.

Answer:

B. -√13/4

Step-by-step explanation:

cos 0 = -√3/4 => x=-√3 , h=4

tan 0 > 0

y should be on quadrant III

y= √4²-3= √16-3=√13 => -√13

so, sin 0 = y/h = -√13/4

Answer:

B. -√13/4

Step-by-step explanation:

:)

Answer:

[tex]{ \tt{7.1 \times {10}^{ - 3} }} \\ { \bf{negative \: means \: { \green{increase \: in \: decimal \: places}}}} \\ = { \tt{0.71 \times {10}^{ - 2} }} \\ = { \tt{0.071 \times {10}^{ - 1} }} \\ = { \tt{0.0071 \times {10}^{0} }} \\ { \boxed{ but \: {10}^{0} = 1}} \\ \therefore{ \tt{ = 0.0071 \times 1 = 0.0071}}[/tex]

Answer:

It is y = -4/5x - 2 because you go left 4 and down 5 which makes both negative. And of course it is minus two.

Answer:

we know that 8+6x=30+4x+2

2x=24

x=12

pls mark as brainliest

Answer:

Step-by-step explanation:

By applying the Exterior angle theorem.

[tex]\bf 30+4x+2+8+6x[/tex]

[tex]\bf 4x+30+2=8+6x[/tex]

[tex]\bf 4x+32=8+6x[/tex]

[tex]\bf 4x+32-32=8+6x-32[/tex]

[tex]\bf 4x=6x-24[/tex]

[tex]\bf 4x-6x=6x-24-6x[/tex]

[tex]\bf -2x=-24[/tex]

[tex]\bf \cfrac{-2x}{-2}=\cfrac{-24}{-2}[/tex]

[tex]\bf x=12[/tex]

Answer:

8:21

Step-by-step explanation:

Answer:

[tex]x= 23.775.[/tex]

Step-by-step explanation:

[tex]\text{We have} \\\cos(18\textdegree) = \frac{x}{25} \\\Rightarrow x= 25\cos(18\textdegree)\\\Rightarrow x= 25 \times 0.951\\\Rightarrow x= 23.775.[/tex]

Experimental probability of the name Alex being drawn is 4/10

This is because out of the ten times a name was drawn, Alex was drawn four times.

If the experiment was repeated 1,000 times, Ella's name could be expected to be drawn 200 times.

This is because of the ten names drawn, Ella's name was drawn twice which is 20% and 20% of 1,000 is 200.

Answer:

Sum of the four numbers in terms of x would be 4x+4

Step-by-step explanation:

x-2 + x + x+2 + x+4 = sum

4x+4 = sum

Answer:

x = 10

Step-by-step explanation:

We can use ratios to solve

Side over bottom

5         5+3

---- = --------

x         16

Using cross products

5 * 16 = (5+3)*x

80 = 8x

Divide by 8

10 = x

x = 10.  This is a dilation. To find x, you must first find what you are dilating and by how much. 8 is the starting value, and 5 is the newer value. 5 divided by 8 is .625. Then multiply.625 by 16, to get 10, or x

Answer:

diverging

Step-by-step explanation:

A regular way to know if a series is converging or diverging, is to check is as the number of terms increase, the value of such terms also increase.

So, if for example, we have:

[tex]A_n > A_{n-1}[/tex]

We know that the series will not converge, because eventually the terms will be very large, and the series will diverge.

In this case we have the series:

1/4, 1/2, 1, 2

So each term is two times the previous one, thus, the n-th term will be larger than the n-th minus one term, so we can conclude that this series diverges.

Answer:

Step-by-step explanation:

here,

base=28 ft

height=24 ft

are of parallelogram=base*height

=28*24

=672 ft^2

Answer:

672 ft²

Step-by-step explanation:

Area of parallelogram is the same as the area of a rectangle.

28 × 24 = 672 ft²

Answer:

hope this helps

Step-by-step explanation:

-they do not have the same slope

-their lines are not parallel

there's probably more but i cant quite think of it as of now

Answer:

(c) 84

hope this helps!!!!

Answer:

Step-by-step explanation:

The standard form of the quadratic we need is

[tex]y=a(x-h)^2+k[/tex] where we have everything we need but a. That's what we will solve for.

x and y come from the coordinate given on the red graph:

x = 2 and y = 1

h and k come from the coordinates of the vertex:

(0, 0). Fill all that in and solve for a:

[tex]1=a(2-0)^2+0[/tex] and

1 = 4a so

a = 1/4 That makes our equation

[tex]y=\frac{1}{4}(x-0)^2+0[/tex] or simplified:

[tex]y=\frac{1}{4}x^2[/tex], choice B.

Answer:

Step-by-step explanation:

i think it is b

A linear binomial is a factor of a polynomial if the polynomial value is 0 at the zeros of the linear binomial

Assume a polynomial function is

P(x) = (x - 3)(x + 1)(x -2)

And a linear binomial is:

x - 3 = 0

We start by calculating the value of x in x - 3 = 0

x = 3

Next, we substitute x = 3 in P(x) = (x - 3)(x + 1)(x -2)

P(3) = (3 - 3)(3 + 1)(3 -2)

Evaluate

P(3) = 0

Since P(3) = 0, then the linear binomial x - 3 is a factor of P(x) = (x - 3)(x + 1)(x -2)

Read more about remainder theorem at:

https://brainly.com/question/13328536

#SPJ1

Answer:

Maria should budget $105 for the trip.

Step-by-step explanation:

First divide every 30 miles she is going doing for the trip.

900 divided by 30 = 30

So she will need 30 gallons to drive 900 miles.

30 x 3.50 = 105.

105 is how much she will pay for the gas.

Answer:

[tex]-1\frac{2}{9}[/tex]

Step-by-step explanation:

         _

y = - 1.2

                 _

y × 10 = - 1.2 × 10

                _

10y = - 12. 2

                _

10y = - 12. 2

-         _

y = - 1.2

____________

9x = 11

9x ÷ 9 = 11 ÷ 9

[tex]x = -1\frac{2}{9}[/tex]

   _

- 1.2 = - 1 2/9

Answer:

please give me brainliest for quest

Step-by-step explanation:

Answer:

Daylilies- $11, Ornamental grass- $7

Step-by-step explanation:

For this one, you want to convert this into simultaneous equations.

If we let d be cost of one daylily and o be cost of one bunch of ornamental grass, we can write the equations as 2d+3o=43 and 6d+3o=87.

From there, we can see they share a like term (3o), so we subtract one equation from the other (since they both are preceded by a +). This gives 4d=44.

Dividing both sides by 4 isolates d, leaving d=$11.

We can substitute this value into either equation to work out o (I'm using the first one as it is easier). This makes it 2×11+3o=43, or 22+3o=43.

From there, we subtract 22 from both sides, giving 3o=21, and dividing by 3 gives a final result of o=$7.

**This content involves writing and solving simultaneous equations, which you may wish to revise. I'm always happy to help!

All working out:

d- cost of one daylily o- cost of one bunch of ornamental grass

2d+3o=43 6d+3o=87

6d+3o=87

 -     -     -

2d+3o=43

=     =    =

4d      =44

÷4        ÷4

d        =11

2d+3o=43

2×11+3o=43

22+3o=43

3o=21

o=7

Answer:

11-

3 / 8 * 5 / 5 = 15 / 40

2 / 5 * 8 / 8 = 16 / 40

16 / 45 + 15 / 45 =

31 / 40

12-

5 / 6 * 9 /9 = 45 / 54

4 / 9 * 6 / 6 = 24 / 54

24 / 54 + 45 + 54 = 69 / 54

69 / 54 =

1   15 / 54

Answer:

(-1, 8)

the value of a is 8