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ipn [44]
2 years ago
13

A proportional relationship can be represented in the form of a

Mathematics
1 answer:
lidiya [134]2 years ago
4 0

Answer:

a graph

Step-by-step explanation:

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What is the measure of m<1 will ensure that the rail is parallel to the bottom of the staircase?
cricket20 [7]

You can observe that angle 1 and angle with 47° are inside a parallelogram.

Consider that the sum of the internal angles of a parallelogram is 360°.

Moreover, consider that the angle at the top right of the parallogram is congruent with the angle of 47°, then, such an angle is if 47°.

Consider that angle down right side is congruent with angle 1, then, they have the same measure.

You can write the previous situation in the following equation:

47 + 47 + ∠1 + ∠1 = 360 simplify like terms

94 + 2∠1 = 360 subtract both sides by 94

2∠1 = 360 - 94

2∠1 = 266 divide by 2 both sides

∠1 = 266/2

∠1 = 133

Hence, the measure of angle 1 is m∠1 = 133°

6 0
1 year ago
The researcher trains a sample of 16 individuals in mindfulness and then collects data on how long they spend eating per day. Th
Mila [183]

Answer:

The calculated t-value is t=0.47.

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>"Americans typically eat quickly and do not spend time enjoying their meal. A researcher plans to test if those trained in mindfulness will take more time to enjoy their meal (that is, they will spend more time eating than the general population). The general population spends an average of 68 minutes per day combined eating their three meals. The researcher trains a sample of 16 individuals in mindfulness and then collects data on how long they spend eating per day. The sample mean for those trained in mindfulness equals 74; the SS = 150. What is the calculated t-value? Round your answer to two decimal places."</em>

The degrees of freedom are (n-1)=(16-1)=15

The standard deviation is:

s=\sqrt{\frac{SS}{n-1}}=\sqrt{\frac{150}{16-1}}=\sqrt{10}=3.16

The t-value can be calculated as:

t=\frac{M-\mu}{\sigma/\sqrt{n}} =\frac{74-68}{3.16/\sqrt{16}} \\\\t=\frac{6}{3.16*4}=\frac{6}{12.64}= 0.47

4 0
3 years ago
HELP! DUE IN A FEW HOURS
Alenkasestr [34]

Answer:

Options (C) and (E).

Step-by-step explanation:

Rotation is a rigid transformation in which size and shape of the figure and image remains the same.

That means angles and sides of the triangles given in the figure will remain same after the transformations given.

Since, the given triangle has been rotated about a point Z, each rotation will share the vertex Z.

And every figure is the transformed form of the given triangle, all four triangles will be congruent.

Options (C) and (E) are the correct options.

4 0
3 years ago
-2/5x+6=8 can you help me
ale4655 [162]
If you would like to solve the equation - 2/5 * x + 6 = 8, you can do this using the following steps:

- 2/5 * x + 6 = 8
- 2/5 * x = 8 - 6
- 2/5 * x = 2    /*(-5/2)
x = 2 * (- 5/2)
x = - 5

The correct result would be -5.
7 0
3 years ago
Read 2 more answers
A person 6 feet tall standing 18 feet away from a lamppost casts a 9 foot shadow. When the same person moves 4 feet farther from
Len [333]

Answer:

<h2>12 feet 8 inch long cast a shadow</h2>

Step-by-step explanation:

A person 6 feet tall standing 18 feet away a lamppost cast a 9 foot shadow.

than move 4 feet than total distance is 22 feet  

According to trigonometry rule make 30 degree angle

tan\left ( 30\ \right )^{o}=\frac{p}{b}

\left ( \frac{1}{\sqrt{3}} \right )=\left ( \frac{x}{18+4} \right )

or

x\sqrt{3}=22

than

x=\frac{22}{\sqrt{3}}

=12feet 8 inch answer

3 0
3 years ago
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