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Art [367]
3 years ago
11

Two angles are supplementary. The measure of the larger angle is 4 more than 3 times the measure of the smaller angle. Find the

measures of both angles.
Mathematics
1 answer:
m_a_m_a [10]3 years ago
5 0

Answer:

<u>The smaller angle measures 44° and the larger measures 136°</u>

Step-by-step explanation:

Let'e recall that supplementary angles are two angles whose sum is 180° degrees.

Smaller angle = x

Larger angle = 3x + 4

Therefore, we have:

x + 3x + 4 = 180

4x = 180 - 4

4x = 176

x = 176/4

x = 44 ⇒ 3x + 4 = 136

<u>The smaller angle measures 44° and the larger measures 136°</u>

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A colored chip is yellow on one side and red on the other. The chip was flipped 50 times and landed red side facing up 21 times.
meriva

<u>Answer:</u>

42%

<u>Step-by-step explanation:</u>

We know that the number of times red side is faced up = 21; and

the total number of times colored chip is thrown = 50

Frequency of red side = (No of times red side is faced up / Total number of times colored chip is thrown)   * 100%

Frequency of red side = (21 / 50) * 100% = 0.42 * 100 = 42%

Therefore, the relative frequency of the chip landing with the red side facing up is 42%.

6 0
3 years ago
A car dealership has 240 cars in the parking lot and 17.5% of them are red. Of the other 6 colors in the lot, each color has the
ella [17]
234. 175 will be the anwser
7 0
4 years ago
Factor X^3-7x^2-5x+35 by grouping. What is the resulting expression
WARRIOR [948]

Answer:

(x-7) (x^2-5)

Step-by-step explanation:

x^3-7x^2-5x+35

Factor out an x^2 from the first two terms and -5 from the last 2 terms

x^2 (x-7) -5(x-7)

Factor out (x-7)

(x-7) (x^2-5)

5 0
3 years ago
Read 2 more answers
an ordered pair where the x and y coordinate are the same lies in the 1st or 3rd quadrant. true, sometimes true or not true?. ex
Zarrin [17]

The quadrants are as follows:

The 1st quadrant has the points which have both x and y positive and the 3rd quadrant has the points which have both x and y negative. If the ordered pair and the same x and y value, if ons is positive, the other also is, and the same for negative.

So, at first we see that there are point where the x and y are the same and that are in the 1st or 3rd quadrant.

However, there is one special case:

When x and y are 0, that is, the ordered pair is (0, 0).

Since this point is the origin, it doesn't lie on any of the quadrants.

Thus, this affirmative is sometimes true. Every point but (0, 0) that have same x and y values are in the 1st or 3rd quadrant except for (0, 0).

7 0
2 years ago
Based on the NYC Department of Health Community Health Survey in 2010, a 95% confidence interval for the proportion of New Yorke
g100num [7]

Answer:

With 95% confidence, at least 1,794,000 were tested for HIV within the past 12 months

Step-by-step explanation:

The lower bound of the confidence interval is 29.9%.

So, with 95% confidence, we know that at least 29.9% of the New York population tested for HIV.

Out of 6 million, that is:

0.299*6000000 = 1,794,000

With 95% confidence, at least 1,794,000 were tested for HIV within the past 12 months

8 0
3 years ago
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