Set up an equation and solve for x X 2x 3x Equation

Based on the measures provided in the diagram, determine the measure of AEG

MArishka [77]

Answer:

277°

Step-by-step explanation:

The measure of arc AEG = AB + BE + EF + FG

The central angle is congruent to the arc that subtends it

∠ ECB = 180° - 44° = 136° ( adjacent angles )

∠ECF = ∠ ACB = 44° ( vertical angles ), thus

AEG = 44° + 136° + 44° + 53° = 277°

8 0

3 years ago

A machine takes 5.4 hours to make 9 parts. At that rate how many parts can the machine make in 25.8 hours

Sliva [168]

$\frac{5.4}{9} = \frac{25.8}{x}$ Cross multiply.

5.4x=9*25.8

5.4x=232.2 Divide both sides by 5.4

x=43

4 0

3 years ago

Read 2 more answers

What is an equation of the line that passes through the points (1, 6) and (1, 2)?

victus00 [196]

Answer:y = -5x + 11

Step-by-step explanation:

First, find the slope (m) of the line that passes through these points:

m = (1-6) / (2-1) = -5/1 = -5

Then use the point slope formula to find the equation of the line:

m = (y-y0)/(x-x0)

-5 = (y-1)/(x-2)

-5(x-2) = y-1

y - 1 = -5x+10

y = -5x + 11

8 0

3 years ago

What's the next number? 0 , 1/3 , 1/2 , 3/5 , 2/3

madam [21]

Answer:

The next number of the series 0, 1/3, 1/2, 3/5, and 2/3 is 5/7

Step-by-step explanation:

The given numbers are;

0, 1/3, 1/2, 3/5, and 2/3

The number sequence is formed adding $\dfrac{1}{\left (\dfrac{n^2 + n}{2} \right ) }$ to each (n - 1)th term to get the nth term number in the sequence, with the first term equal to 0, as follows;

For the 2nd term, the (n - 1)th term is 0, and n = 2, gives;

The

$0 +\dfrac{1}{\left (\dfrac{2^2 + 2}{2} \right ) } = 0 + \dfrac{1}{3} = \dfrac{1}{3}$

For the 3rd term, the (n - 1)th term is 1/3, and n = 3, gives;

$\dfrac{1}{3} +\dfrac{1}{\left (\dfrac{3^2 + 3}{2} \right ) } = \dfrac{1}{3} + \dfrac{1}{6} = \dfrac{1}{2}$

For the 4th term, the (n - 1)th term is 1/2, and n = 4, gives;

$\dfrac{1}{2} +\dfrac{1}{\left (\dfrac{4^2 + 4}{2} \right ) } = \dfrac{1}{2} + \dfrac{1}{10} = \dfrac{3}{5}$

For the 5th term, the (n - 1)th term is 3/5, and n = 5, gives;

$\dfrac{3}{5} +\dfrac{1}{\left (\dfrac{5^2 + 5}{2} \right ) } = \dfrac{3}{5} + \dfrac{1}{15} = \dfrac{2}{3}$

For the next or 6th term, the (n - 1)th term is 2/3, and n = 6, gives;

$\dfrac{2}{3} +\dfrac{1}{\left (\dfrac{6^2 + 6}{2} \right ) } = \dfrac{2}{3} + \dfrac{1}{21} = \dfrac{15}{21} = \dfrac{5}{7}$

The next number of the series 0, 1/3, 1/2, 3/5, and 2/3 = 5/7.

6 0

3 years ago

Becky has a board that is 2 and 3/4 feet long. She needs to cut the board into 11 pieces of equal length. How long should each p

zzz [600]

Answer:

1/4 feet long should each pieces be.

Step-by-step explanation:

Unit rate defined as the rates are expressed as a quantity of 1 such as 3 miles per second or 4 km per hour

As per the statement: Becky has a board that is 2 and 3/4 feet long.

⇒ Length of a board = $2\frac{3}{4} =\frac{11}{4}$ feet

Also, she need to cut the board into 11 pieces.

by unit rate definition:

$\text{Unit rate per pieces} = \frac{\frac{11}{4} }{11}$

or

$\text{Unit rate per pieces} = \frac{11}{4} \times \frac{1}{11} = \frac{1}{4}$

Therefore, 1/4 feet long should each pieces be.

4 0

3 years ago