If m∠EBD = 36 °and m∠DBC = 108 ° , find m∠EBC

Answer:

6

——

x+8

Step-by-step explanation:

The quotient of six (6) and the sum of a number and eight (8) is equal to  [tex]\frac{x + 8}{6}[/tex]

In Mathematics, quotient simply means to divide a number by another number without any remainder.

Translating the word problem into an algebraic expression, we have;

The sum of a number and eight = [tex]x + 8[/tex]

Quotient of six (6) and the sum of a number and eight (8) is equal to;

[tex]\frac{x + 8}{6}[/tex]

In conclusion, the quotient of six (6) and the sum of a number and eight (8) is equal to  [tex]\frac{x + 8}{6}[/tex]

Find more information: brainly.com/question/21449543

Answer: 9.22M

Step-by-step explanation:

Answer:

Mode: 42 Range: 9

Step-by-step explanation:

First, I used trial and error to find the value of x which I found out was 2. Next, I found out how many people were in each weight category. Then, I put the numbers in order from least to greatest which gave me 33,33,35,35,35,37,37,37,37,39,39,39,39,42,42,42,42,42. After that, I found the number that showed up the most in this set of data which is the mode. Finally, I subtracted the smallest number(33) from the greatest number(42) and got 9 which is the range.

Answer:

Commutative property of multiplication.

Step-by-step explanation:

This property says that changing the order of factors doesn't change the product.

Here 5×3 will be 15..... If we interchange the places of 3 & 5 , still then the product will remain same i.e. 3×5 = 15

Answer:

8 pieces of wood should be put along each side of the chessboard

Step-by-step explanation:

Here in this question, we are interested in knowing the the number of pieces of wood that should be put along each side of the cheese board.

Firstly, to know the number of pieces of wood to use, we need to divide the area of the board by the area of each piece of wood

Mathematically that would be 64 square inches/ 1 square inch = 64 pieces of wood

64 pieces of wood would be needed to complete the cheeseboard.

The number of pieces to put along each side of the cheese board will be √64.

This is because the shape of a chessboard is square.

Thus the number of pieces to put on each side will be √64 = 8

Answer:

same as ramen said #13

hope you pass♡

Answer:

[tex]\sqrt{8.5}[/tex]

Step-by-step explanation:

[tex]\sqrt{8.5}=2.9154759474226502354370764387727915382606991674429859772250...[/tex]

that's clearly between 2.888888.... and 2.999999....

Answer: IT is A and C

Answer:

8. c. (-1, -1)

9. a. (-6, -1)

b. True

Step-by-step Explanation:

8. Given the midpoint M(2, 4), and one endpoint D(5, 7) of segment CD, the coordinate pair of the other endpoint C, can be calculated as follows:

let [tex] D(5, 7) = (x_2, y_2) [/tex]

[tex] C(?, ?) = (x_1, y_1) [/tex]

[tex] M(2, 4) = (\frac{x_1 + 5}{2}, \frac{y_1 + 7}{2}) [/tex]

Rewrite the equation to find the coordinates of C

[tex] 2 = \frac{x_1 + 5}{2} [/tex] and [tex] 4 = \frac{y_1 + 7}{2} [/tex]

Solve for each:

[tex] 2 = \frac{x_1 + 5}{2} [/tex]

[tex] 2*2 = \frac{x_1 + 5}{2}*2 [/tex]

[tex] 4 = x_1 + 5 [/tex]

[tex] 4 - 5 = x_1 + 5 - 5 [/tex]

[tex] -1 = x_1 [/tex]

[tex] x_1 = -1 [/tex]

[tex] 4 = \frac{y_1 + 7}{2} [/tex]

[tex] 4*2 = \frac{y_1 + 7}{2}*2 [/tex]

[tex] 8 = y_1 + 7 [/tex]

[tex] 8 - 7 = y_1 + 7 - 7 [/tex]

[tex] 1 = y_1 [/tex]

[tex] y_1 = 1 [/tex]

Coordinates of endpoint C is (-1, 1)

9. a.Given segment AB, with midpoint M(-4, -5), and endpoint A(-2, -9), find endpoint B as follows:

let [tex] A(-2, -9) = (x_2, y_2) [/tex]

[tex] B(?, ?) = (x_1, y_1) [/tex]

[tex] M(-4, -5) = (\frac{x_1 + (-2)}{2}, \frac{y_1 + (-9)}{2}) [/tex]

[tex] -4 = \frac{x_1 - 2}{2} [/tex] and [tex] -5 = \frac{y_1 - 9}{2} [/tex]

Solve for each:

[tex] -4 = \frac{x_1 - 2}{2} [/tex]

[tex] -4*2 = \frac{x_1 - 2}{2}*2 [/tex]

[tex] -8 = x_1 - 2 [/tex]

[tex] -8 + 2 = x_1 - 2 + 2 [/tex]

[tex] -6 = x_1 [/tex]

[tex] x_1 = -6 [/tex]

[tex] -5 = \frac{y_1 - 9}{2} [/tex]

[tex] -5*2 = \frac{y_1 - 9}{2}*2 [/tex]

[tex] -10 = y_1 - 9 [/tex]

[tex] -10 + 9 = y_1 - 9 + 9 [/tex]

[tex] -1 = y_1 [/tex]

[tex] y_1 = -1 [/tex]

Coordinates of endpoint B is (-6, -1)

b. The midpoint of a segment, is the middle of the segment. It divides the segment into two equal parts. The answer is TRUE.

Step-by-step explanation:

yes of course...

just like

saying 2=x is equivalent to x=2

similarly x<3 is equivalent to 3>x

Answer:

1. 1,2 2,3 ,3,4, 4,5, 5,6              

2.-2,1  -1,-1 0,-2  1,-1 2,1

Step-by-step explanation:

Answer:

250 i thoink

Step-by-step explanation:

For making 60 cookies the amount of butter will be 250 decigrams.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a recipe for shortbread cookies calls for 5 grams of butter to make 12 cookies.

The amount of butter for 60 cookies in decigrams will be calculated as,

12 cookies = 5 grams

12 cookies = 50 dg

60 cookies = ( 50 x 60 ) /60

60 cookies = 250 dg

To know more about an expression follow

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Answer:

35 days

Step-by-step explanation:

A = 14 days

It means per day, work done by A= 1 / 14

A+B = 10 days

Work done by A and B per day = 1 / 10

In what time can B alone do the work?

To solve this, we have

A+B = A alone + B alone

1/10 = 1/14 + B alone

Subtract 1/14 from both sides

1/10 - 1/14 = 1/14 + B alone - 1/14

14-10/140 = B alone

4/140 = B alone

B alone= 1 / 35

Work done of B alone = 1/35

B alone will do the work in 35 days

Answer:

35 days.  

Step-by-step explanation:

A can do the work in 14 days: per day work done by A=1/14

A and B can do the work in 10 days: per day work done by A and B=1/10

Work is done by B per day=1/10–1/14=7/70-5/70=(7–5)/70=2/70=1/35.

So, B takes 35 days.

Step-by-step explanation:

g(x) = 3x² + 2

h(x) = 2x + 2

g(h(x)) = g([2x + 2]) = 3[2x+2]² + 2

= 3[4x² + 8x + 4] + 2

= 12x² + 24x + 12 + 2

= 12x²+ 24x + 14

Answer: 22 miles

Step-by-step explanation: Ms. G and Ms. Leahman both bike the same amount on Saturday:

4 miles to go to the city;

2 miles with Mr. Adams;

4 miles back to Bedstuy;

Then, both biked:

4 + 2 + 4 = 10 miles

Now, Mr. Adams bikes:

5 miles to go to the city;

2 miles together with the other two;

5 miles back to Bedstuy;

Then, he biked, in total:

5 + 2 + 5 = 12miles

So, the three of them biked, in total:

10 + 12 = 22

On Saturday, Ms. G, Mr. Adams and Ms. Leahman biked, in total, 22 miles.

We can see that the diagonal distance from the fire pit to the tree is 6 units, if you count, with a slope of 1, meaning that we only have to stay on that diagonal.

A third of 6 is 2, so we'll just go 2 units in that diagonal, putting us at the point [tex](4,3)[/tex].

Hope this helps.

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Answer:

The pile is 2 feet high.

Step-by-step explanation:

There are 6 blocks, each block is 4 inches in height. That means the total height is:

6×4=24 inches

Because the question asked for the answer in feet, you have to convert the 24 inches into feet:

24 inches=2 feet

the answer is c because it’s not an exact number, but it’s still reasonable considering it’s greater than 6 but still less than 7

Answer: C. 15x + 12y = 489

Step-by-step explanation: Got it right on edge test

Answer:

C

Step-by-step explanation:

15x+12y=489

Answer:its b) 19

4xl-7l-l-9l

=4x7-9

=28-9

=19

Step-by-step explanation:

I'm going to assume 50.25 was a typo error and it is $0.25 for each extra minute.

For a 10 minute phone call, the first 5 minutes cost $3 and the other 5 minutes cost $0.25 * 5 = $1.25. Altogether it costs $4.25.

For a 15.5 minute phone call, the first 5 minutes cost $3 and the other 10.5 minutes cost $0.25 * 11 = $2.75. Altogether it costs $5.75.

Answer:

1 = 100. 50 2 = 65 . 30

Step-by-step explanation:

just add extra minutes and mins to call okkk

Answer:

T=3.3 HOURS AFTER THEY LEAVE THEY WILL BE 363 MILES APART

Step-by-step explanation:

internet

Answer:

not sure

Step-by-step explanation:

not sure what you're trying to show?

Answer:

5/11 or 0.4545

Step-by-step explanation:

I think this is correct you just count how , many letters she has in her name (that's gonna be our denominator) and then count how many of those are vowels (our numerator). to change it into a decimal you simply divide the top by the bottom.

Answer:

(0.7, -1)

Step-by-step explanation:

To find the coordinates for the midpoint you add each coordinate together and divide by 2.

M = ([tex]\frac{1.8 - 0.4}{2}, \frac{-3.4 + 1.4}{2}[/tex])

M = [tex](\frac{1.4}{2}, \frac{-2}{2})[/tex]

M = (0.7, -1)