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3 years ago

For what value of X is line a parallel to line B? (4x+28). 112. 68

Mathematics

2 answers:

True [87]3 years ago

6 0

Answer:

x = 10

Step-by-step explanation:

Same side interior angles are supplementary (SSIA theorem).

Set the equation equal to 180 then solve for x.

4x + 28 = 68

Solve

68 - 28 = 40

40/4 = 10

x = 10

Alex3 years ago

3 0

Answer:

Step-by-step explanation:

112 + 4x + 28 = 180°

140 + 4x = 180°

4x = 180 - 140

x = 10

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The height h(n) of a bouncing ball is an exponential function of the number n of bounces.

Digiron [165]

Answer:

The height of a bouncing ball is defined by $h(n) = 6\cdot \left(\frac{4}{6} \right)^{n-1}$ .

Step-by-step explanation:

According to this statement, we need to derive the expression of the height of a bouncing ball, that is, a function of the number of bounces. The exponential expression of the bouncing ball is of the form:

$h = h_{o}\cdot r^{n-1}$ , $n \in \mathbb{N}$ , $0 < r < 1$ (1)

Where:

$h_{o}$ - Height reached by the ball on the first bounce, measured in feet.

$r$ - Decrease rate, no unit.

$n$ - Number of bounces, no unit.

$h$ - Height reached by the ball on the n-th bounce, measured in feet.

The decrease rate is the ratio between heights of two consecutive bounces, that is:

$r = \frac{h_{1}}{h_{o}}$ (2)

Where $h_{1}$ is the height reached by the ball on the second bounce, measured in feet.

If we know that $h_{o} = 6\,ft$ and $h_{1} = 4\,ft$ , then the expression for the height of the bouncing ball is:

$h(n) = 6\cdot \left(\frac{4}{6} \right)^{n-1}$

The height of a bouncing ball is defined by $h(n) = 6\cdot \left(\frac{4}{6} \right)^{n-1}$ .

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3 years ago

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Mags and Vector are playing a board game. They use a spinner to determine if they should move forward or backward. They roll a n

Aleksandr-060686 [28]

Answer:

1/4

Step-by-step explanation:

The sample space of an event is the list of all possible outcomes.

Let F represent moving forward and B represent moving backward. This makes the sample space for the game

F1, F2, F3, F4, F5, F6

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This is 3 ways out of 12 possible moves; this makes the probability

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Answer:

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Step-by-step explanation:

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Find the value of the power. 7^4 = Answer:

Drupady [299]

Answer:

2401

Step-by-step explanation:

7*7*7*7=2401

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MissTica

No options shown, but any line where x = -2y

For instance: y = -1 and x = 2

Remember slope is rise-over-run

y is rise, x is run

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