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3 years ago

If m∠4 = 35, find m∠3. Explain.

Mathematics

1 answer:

IgorLugansk [536]3 years ago

3 0

Answer:

55; ∠3 and ∠4 are complementary angles, so m∠3 = 90 − m∠4.

Step-by-step explanation:

Complementary angles are a pair of two angles that add up to give us 90°.

Thus, angle 4 and angle 3 are complementary angles.

m∠ACD = 90°, m∠4 = 35°, therefore,

m∠ACD = m∠4 + m∠3.

Thus:

90° = 35° + m∠3

Subtract 35 from both sides

90 - 35 = 35° + m∠3 - 35

55 = m∠3

m∠3 = 55°.

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denis23 [38]

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3 years ago

9,13,43,55 what is the mean absolute deviate (MAD) of their ages

lisov135 [29]

Answer:

The mean absolute deviation of this data $\{9,13,43,55\}$ is $MAD =19$ .

Step-by-step explanation:

The mean absolute deviation (MAD) of a dataset is the average distance between each data point and the mean. It gives us an idea about the variability in a dataset.

The steps to find the MAD include:

find the mean (average)
find the difference between each data value and the mean
take the absolute value of each difference
find the mean (average) of these differences

To find the mean absolute deviation of this data $\{9,13,43,55\}$ you must

Step 1: Calculate the mean.

$\:mean=\bar{x}= \frac{9+13+43+55}{4} =\frac{120}{4}=30$

Step 2: Calculate the distance between each data point and the mean and take the absolute value of each difference .

$|9-30|=21\\|13-30|=17\\|43-30|=13\\|55-30|=25$

Step 3: Add the distances together.

$21+17+13+25=76$

Step 4: Divide the sum by the number of data points.

$MAD = \frac{76}{4} =19$

7 0

4 years ago

Expand the following:<br> a) x(x + 2)<br> b) x(2x - 5)<br> c) 2x(3x + 4)<br> d) 6x(x - 2)

TEA [102]

Answer:

solution,

$a. \: x(x + 2) \\ \: \: = x \times x + 2 \times x \\ \: \: = {x}^{2} + 2x$

$b . \: x(2x - 5) \\ \: = x \times 2x - x \times 5 \\ \: \: = 2 {x}^{2} - 5x$

$c. \: 2x(3x + 4) \\ \: = 2x \times 3x + 2x \times 4 \\ \: \: = 6 {x}^{2} + 8x$

$d. \: 6x(x - 2) \\ \: \: = 6x \times x - 6x \times 2 \\ \: \: = 6 {x}^{2} - 12x$

Hope this helps...

Good luck on your assignment..

4 0

3 years ago

What are the coordinates A’ after 90 counterclockwise rotation about the origin.

vampirchik [111]

Answer:

the above is the answer

hope this is helpful

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3 years ago

2<br> 1 point<br> Find UV.<br> U V<br> 56<br> 45<br> --D<br> W

Tomtit [17]

Answer:

Step-by-step explanation:

$UV=UW-VW=56-45=11$

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1 year ago