If mAB = 30° and mCD = 110°, find mLE.
D
110°
А
30°
E
с
B
O 15°
O 30°
O 40°
O 70°

Answer:

c = 355 ; a = 170

Step-by-step explanation:

c = children

a = adults

c + a = 525

19c + 40a = 13545

19c + 19a = 9975

19c + 40a = 13545

-21a = - 3570

a = 170

c + 170 = 525

c = 355

Answer:

1:1

Step-by-step explanation:

this is because they are selected at random 3/3=1

Answer:

[tex]P(R\ or\ odd\ Numbered)=5/7[/tex]

Step-by-step explanation:

From the question we are told that:

Number of Red Marble [tex]n_r=6[/tex]

Number of Blue Marble [tex]n_b=8[/tex]

Sample size [tex]n=n_r+n_b[/tex]

[tex]n=6+8[/tex]

[tex]n=14[/tex]

And

No of red or Odd numbered [tex]x= 6+4 = 10[/tex]

Generally the equation for  probability the marble is red or odd numbered. is mathematically given by

[tex]P(R or odd Numbered)=x/n[/tex]

[tex]P(R or odd Numbered)=10/14[/tex]

[tex]P(R\ or\ odd\ Numbered)=5/7[/tex]

Answer:

c. A number relatively close to 100.

Step-by-step explanation:

Given

[tex]Range: 0 \to 1[/tex]

[tex]N =1000[/tex] --- i.e. the cells

Required

Number of cells that contains less than or equal 0.2

Less than or equal 0.2 means that the numbers are approximately 20% of the whole distribution

So, to calculate the number (n) of these cells, we do the following computation

[tex]n = 20\% * N[/tex]

[tex]n = 20\% * 1000[/tex]

[tex]n = 200[/tex]

200 is closer to 100 than 500. Hence, (c) is correct

Answer:

34

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

(7*8)+2-(3*8)

=34

....

Answer:

y = 2/7 x - 51/7

Step-by-step explanation:

Equation of the line

(y-y1)/(y2-y1) = (x-x1)/(x2-x1)

(y-(-7)/(-9-(-7) = (x-1)/(-6-1)

(y+7)/-2 = (x-1)/-7

(-y-7)/2 = (-x+1)/7

-y-7 = -2/7 x + 2/7

-y = -2/7x +2/7 + 7

y = 2/7 x - 2/7 - 7

y = 2/7 x + (-2-49)/7

y = 2/7 x - 51/7

Answer:

$16 per hour

Step-by-step explanation:

He earns $16 per hour as shown in the figure

Answer:

[tex]2[/tex]

Step-by-step explanation:

Given:

[tex]-2(1-4x)=3x+8[/tex]

Let's distribute the parenthesis

[tex]-2+8x=3x+8[/tex]

Let's subtract [tex]-3x[/tex] from both sides

[tex]-2+5x=8[/tex]

Let's add [tex]2[/tex] to both sides

[tex]5x=10[/tex]

Now, let's divide both sides by [tex]5[/tex] to get [tex]x[/tex] alone

[tex]x=2[/tex]

Hope this is helpful

Step-by-step explanation:

How to solve your problem

−2(1−4)=3+8

-2(1-4x)=3x+8−2(1−4x)=3x+8

Solve

1)

Rearrange terms

−2(1−4)=3+8

-2({\color{#c92786}{1-4x}})=3x+8−2(1−4x)=3x+8

−2(−4+1)=3+8

-2({\color{#c92786}{-4x+1}})=3x+8−2(−4x+1)=3x+8

2)

Distribute

−2(−4+1)=3+8

{\color{#c92786}{-2(-4x+1)}}=3x+8−2(−4x+1)=3x+8

8−2=3+8

{\color{#c92786}{8x-2}}=3x+88x−2=3x+8

3)

Add 

2

22

 to both sides of the equation

8−2=3+8

8x-2=3x+88x−2=3x+8

8−2+2=3+8+2

8x-2+{\color{#c92786}{2}}=3x+8+{\color{#c92786}{2}}8x−2+2=3x+8+2

4)

Simplify

Add the numbers

Add the numbers

8=3+10

8x=3x+108x=3x+10

5)

Subtract 

3

3x3x

 from both sides of the equation

8=3+10

8x=3x+108x=3x+10

8−3=3+10−3

8x{\color{#c92786}{-3x}}=3x+10{\color{#c92786}{-3x}}8x−3x=3x+10−3x

6)

Simplify

Combine like terms

Combine like terms

5=10

5x=105x=10

7)

Divide both sides of the equation by the same term

5=10

5x=105x=10

55=105

\frac{5x}{{\color{#c92786}{5}}}=\frac{10}{{\color{#c92786}{5}}}55x=510

8)

Simplify

Cancel terms that are in both the numerator and denominator

Answer:

? =50

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos ? = adj/hyp

Taking the inverse cos of each side

cos^-1 (cos ?) = cos^-1( 14/22)

? =50.47880364

To the nearest degree

? =50

3 is the only number which is one less than a square...

Answer:

10 metros.

Step-by-step explanation:

Para determinar la medida de la base de un triángulo que tiene un área de 65 metros cuadrados y una altura de 13 metros se debe realizar el siguiente cálculo, sabiendo que el área de un triangulo es igual a multiplicar su base por su altura, y dividir dicho resultado por 2:

(X x 13) / 2 = 65

X x 13 = 65 x 2

X = 130 / 13

X = 10

Por lo tanto, la base del triángulo es de 10 metros.

Answer:

0.825

Step-by-step explanation:

Answer:

52/63

hope this helps

have a good day :)

Step-by-step explanation:

Answer and Step-by-step explanation:

To numbers that add to -2 and multiply to -99 are:

-11 and 9.

When we do -11 + 9, we get -2.

When we multiply -11 by 9, we get -99.

#teamtrees #PAW (Plant And Water)

Answer:

x-a

Step-by-step explanation:

Mean=sum of data /no of data

=x-3a+x-2a+x-a+x+x+a/5

=5x-5a/5

=5(x-a)/5

=x-a

Answer:

100 6/7

Step-by-step explanation:

156 1/42-55 1/6

= 156 1/42 - 55 7/42

=100 36/42

=100 6/7

Answer:

100 6/7

Step-by-step explanation:

156 1/42-55 7/42

=100 36/42

=100 6/7

Answer:

[tex]f(x) = {2x}^{3} + {7x}^{2} + 2x - 3 \\ f( \frac{1}{2} ) = 0 \\ f( - 3) = 0 \\ zeros \: = > 0 \: \: and \: \: - 3[/tex]

Answer:

A

Step-by-step explanation:

I believe this is correct.

Step-by-step explanation:

12 I believe

have a great dayy

happy summee

Answer:

14 = x and 2.5 = y

Step-by-step explanation:

For ABCD - the top is 8 and the sides are 11. 11 minus 8 is 3. 11 plus 3 equals 14, that’s x.

For GHIJ - the bottom is 8 and both sides are 5.5. So 8 minus 5.5 is 2.5. That’s y.

Q10/ scale factor of polygon ABCD to polygon GHIJ = 11/5.5 = 2

Q11/ scale factor of polygon GHIJ to polygon ABCD = 1:2

Q12/ x = 8 × 2 = 16

        y = 8 / 2 = 4

Q13/ ABCD ⇒ label x as 16, y as 4

         GHIJ ⇒ label HI line to 5.5

Q14/ ratio = 46 : 23

                = 2 : 1

hope this helps....

Answer:

A reflection about y=x

Step-by-step explanation:

The 4 transformations are

Let eliminate which ones won't work.

A translation wouldn't flip the triangle in a different direction after translating it so we won't translate it.

A dilation changes the length for the triangle but the triangles are congruent so we won't dilate it.

A rotation about the orgin wouldn't work nor a specific point so a rotation isnt going to work.

A reflection will work so what will we reflect about.

A reflection makes a reflected point equidistant from the line of reflection and their original point is equidistant from line of reflection.

So let find the midpoint of all the points and find a line where all of them are on.

The midpoint respectively are

Let find the line that includes both these points.

[tex] \frac{6 - 4}{6 - 4} = \frac{2}{2} = 1[/tex]

So this means our slope is x. The y value corresponds with the x value so the answer is

[tex]y = x[/tex]

So the answer is

"A reflection about y=x

Answer:

The are vertical angles.

Step-by-step explanation:

So as you can see in my picture i drew those lines, they are vertically opposite from each other.

Hope this helps!

Good Luck!

Please mark me bralinest if you can :)

Answer:

Vertical

Step-by-step explanation:

<AGB and <EGD are vertical angles because they are vertically opposite from each other since they were created from two lines crossing.

-You know that they aren't adjacent because they aren't next to each other and don't share a side or a vertex.

-They can't be supplementary because they don't add up to 180 degrees

-They can't be complementary because they don't make up 90 degrees

Answer:

-3.125

Step-by-step explanation:

1/8 in decimal form is .125

-3 1/8 = -3.125

Answer:

A = $174,742.21

A = P + I where

P (principal) = $100,000.00

I (interest) = $74,742.21

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 8/100

r = 0.08 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 100,000.00(1 + 0.08/12)(12)(7)

A = 100,000.00(1 + 0.006666667)(84)

A = $174,742.21

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $100,000.00 at a rate of 8% per year compounded 12 times per year over 7 years is $174,742.21.

Answer:

33

Step-by-step explanation:

x(14 - x)

Step One: Substitute

3(14 - 3)

Step Two: Brackets/Parenthesis

3(11)

Step Three: Multiply

33

Answer:

33

Step-by-step explanation:

1. Subtract the numbers

(14-3)

2. Multiply the numbers

3*11= 33

Answer:

2x

Step-by-step explanation:

because it's2 so two ok carRy on

The value of a is 9.

A factor of polynomial P(x) is any polynomial which divides evenly into P(x).

For finding the factor of a polynomial we will perform following steps:

According to the given question.

We have a cubic polynomial [tex]x^{3} -4x^{2} +ax -2a[/tex]

Also, x - 3a is a factor of the given polynomial.

⇒ [tex]x - 3 = 0[/tex]

⇒[tex]x = 3[/tex]

⇒ 3 is the one solution of the given cubic polynomial.

If 3 is the one solution of the cubic polynomial then it must satisfy the equation (i).

So, substitute the value of x in the given polynomial.

[tex](3)^{3} -4(3)^{2} + a (3) - 2a = 0[/tex]

⇒[tex]27 -4(3)^{2} +a(3) -2a=0[/tex]

⇒[tex]27 - 36 + 3a - 2a= 0[/tex]

⇒[tex]-9 + a = 0[/tex]

⇒ [tex]a = 9[/tex]

Therefore, the value of a is 9.

Find out more information about factor  and solution of polynomial here:

https://brainly.com/question/26354419

#SPJ2

Answer: 240 feet

Step-by-step explanation:

What you could do is find the area of the whole thing. 12x25 is 300. Then, you can find the area of the white part, which is 60, because you multiply 12x5. then, you would subtract 60 to 300, which would get you to 240 feet.

Answer:

The answer is : 240cm² for the shaded part

The unshaded part is = 60cm²

The whole rectangle = 300cm²

Step-by-step explanation:

Area is = WL

W = width (while the) L= length

The Area = 25 × 12 = 300

The area of the full rectangle is = 300

The unshaded part is = 5 × 12 = 60

So the shaded part is = 300 - 60 = 240cm²

[tex]so \: the \: answer \: is \: = 240cm^{2} [/tex]