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2 years ago

HELP i am having trouble and it is about to be due

Mathematics

1 answer:

mash [69]2 years ago

5 0

Answer:

m∠1 = 130°

m∠2 = 158°

Step-by-step explanation:

For the given figure, we have;

The measure of angle m∠1 is given by the exterior angle theorem as the sum of the two opposite interior angles as follows;

m∠1 = 99° + 31° = 130°

m∠1 = 130°

Similarly, the measure of angle m∠2 is given by the exterior angle theorem as the sum of the two opposite interior angles as follows;

m∠2 = 28° + m∠1 = 28° + 130° = 158°

m∠2 = 158°.

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The number 64 has the property that it is divisible by its units digit. How many whole numbers between 10 and 50 have this prope

sineoko [7]

Answer:

$\large \boxed{17}$

Step-by-step explanation:

Let's call the numbers "tu", where t is the tens digit and u is the units digit.

We can solve this by the "brute force" method — examining each number to see if it satisfies the conditions.

$\begin{array}{cccl}\mathbf{u}&\mathbf{tu}& \textbf{Divisible by u} & \\0 &20, 30, 40 & 0 & \text{Division by zero is impossible}\\1 & 11, 21, 31, 41 & 4& \text{All numbers are divisible by one}\\2 & 12, 22, 32, 42 & 4 & \text{All even numbers are divisible by two}\\3 & 13, 23, 33, 43 & 1 &\text{Only 33 is divisible by three}\\4 & 14, 24, 34, 44 & 2 & \text{Only 24 and 44 are divisible by four}\\5 & 15, 25, 35, 45 & 4 & \text{Numbers ending in 5 are divisible by five}\\\end{array}$

$\begin{array}{cccl}6 & 16, 26, 36, 46 & 1 & \text{Only 36 is divisible by six}\\7 & 17, 27, 37, 47 & 0 & \text{None of the numbers is divisible by seven}\\8 & 18, 28, 38, 48 & 1 & \text{Only 48 is divisible by eight}\\9 & 19, 29, 39, 49 & 0 & \text{None of the numbers is divisible by nine}\\& \textbf{TOTAL =} &\mathbf{17}& \\\end{array}\\\text{$\large \boxed{\mathbf{17}}$ numbers between 10 and 50 are divisible by their units digit}$

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2 years ago

McKenna and Lara work for their uncle Eddie who repairs skateboards and bicycles. Uncle Eddie is leaving for a vacation to the A

natali 33 [55]

Let x be a number of skateboards and y be the number of bicycles in Eddie's repair shop.

Eddie asks the girls to order 54 new wheels for 21 skateboards and bicycles, then

x+y=21.

One scateboard has 4 wheels, then x scateboards have 4x wheels, one bicycle has 2 wheels, then y bicycles have 2y wheels. In total there should be ordered 54 wheels, so

4x+2y=54.

Solve the system of equations:

$\left\{\begin{array}{l}x+y=21\\4x+2y=54.\end{array}\right.$

From the first equation $x=21-y.$ Substitute it into the second equation:

$4(21-y)+2y=54,\\ \\84-4y+2y=54,\\ \\-2y=54-84,\\ \\-2y=-30,\\ \\2y=30,\\ \\y=15.$

Then

$x=21-15=6.$

Answer: 6 scateboards and 15 bicycles.

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2 years ago

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vodka [1.7K]

X=5 if you solve the equation 20=8x/2

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3 years ago

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Alexandra [31]

Answer:

4, 2

Step-by-step explanation:

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2 years ago

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A bag contains 24 red marbles, 17 maroon marbles, and 8 blue marbles. What’s the probability of picking a maroon marble?

a_sh-v [17]

Answer:

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Step-by-step explanation:

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3 years ago

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