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ira [324]
3 years ago
15

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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A 10-ounce box of cereal cost $3. A 20-ounce box of the same cereal cost $5. A third box of the same cereal costs $8.
kvasek [131]

The number of ounces of cereal in the third box is 32.

<u>Explanation:</u>

Given-

10 oy box = $3

Price of 1 ounce box = $3/10

                                  = $0.3

20 oy box = $5

Price of 1 oy box = $5/20

                            = $0.25

Therefore, it is beneficial to buy a 20 oy box as it is comparatively cheaper than the 10 oy box.

Third box of cereal = $8

$5 is the price of 20 oy box

$8 will be the price of x oy box

So,

x = \frac{20}{5} X 8\\ \\x = 32

Therefore, the number of ounces of cereal in the third box is 32.

3 0
3 years ago
What is 3/8x + 15/2=18
mart [117]


Let's solve for x --

Isn't it always a little easier to solve a math problem with starting by rewriting the equation?

3/8x + 15/2 = 8

Step 1) Subtract 15/2 from both sides

3/8x + 15/2 - 15/2 = 8 - 15/2

3/8x = 1/2

Step 2) Multiply both sides by 8/3

(8/3) × (3/8x) = (8/3) × (1/2)

x = 4/3

FINAL ANSWER -

x = 4/3

↑   ↑   ↑  Hope this helps! :D

3 0
3 years ago
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Zigmanuir [339]
I believe the answer is 5y :)
6 0
3 years ago
Choose the correct answer below.
Bumek [7]

Answer:

B. Descriptive statistics describes sets of data. Inferential statistics draws conclusions about the sets of data based on sampling.

Step-by-step explanation:

Let's explain on why the others are not,

A. Descriptive statistics is a characteristic or property of an individual experimental unit. Inferential statistics is the process used to assign numbers to variables of individual population units.

Descriptive statistics needs a set of data, not just an individual experimental unit, since it uses statistical methods like tendency, mean, median, mode, dispersion ranges, deviation, etc. That cannot be gathered from an individual set unit. In the same way, Inferential statistics, is about using a sample of data to infer, as the name says, behavior of larger groups, it doesn't assign numbers or variables, it studies behavior of samples, that being said, a variable might be "assigned" by testing an hypothesis, yet not from an unit, but from a set.

C. Descriptive statistics draws conclusions about the sets of data based on sampling. Inferential statistics summarizes the information revealed in data sets.

It is the complete oposite, Descriptive Statistics (DS), studies data to represent numerical analysis in charts and graphs, but not samples. While Inferential Statistics (IS), is about samples, and how they COULD represent a larger group.

D. Descriptive statistics are measurements that are recorded on a naturally occurring numerical scale. Inferential statistics are measurements that cannot be measured on a natural number​ scale; they can only be classified into one of a group of categories.

In IS, its not that the measurements cannot be measured on a natural number scale, it is that the size of the date is too large, so it needs to be broken down in order to be studied, it can have several categories but a smaller data set (thus a sample)

5 0
3 years ago
You can park no further than how many feet away from the curb
ivolga24 [154]
The answer is 18 inches.
6 0
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