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Irina-Kira [14]
2 years ago
15

The sum of the measures of the angles of all triangles is 180 degrees. If one angle of the triangle measures 45 degrees, and the

other two angles are equal, what is the measure of each of the other two angles? Choose the equation that represents the situation. Let "a" represent the unknown angle measurement.
A. 2 + a + 45 = 180
B. 2a + 45 = 180
C. 45a + 2 = 180
Mathematics
1 answer:
zmey [24]2 years ago
5 0

Answer:

B

Step-by-step explanation:

2a+45=180

subtract 45 from both sides which equals 2a=135

divide both sides by 2 which would solve for a.

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Sally gets a cup of coffee and a muffin every day for breakfast from one of the many coffee shops in her neighborhood. She picks
aniked [119]

Answer:

<u>A. Mean of the amount Sally spends on breakfast daily = $ 3.90</u>

<u>Standard deviation of the amount Sally spends on breakfast daily = $ 0.34 (rounding to the next cent)</u>

<u>B. Mean of the amount Sally spends on breakfast weekly = $ 27.30</u>

<u>Standard deviation of the amount Sally spends on breakfast weekly = $ 0.89 (rounding to the next cent)</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Average price of a cup of coffee = $ 1.40

Standard deviation = $0.30

Average price of a muffin = $ 2.50

Standard deviation = $ 0.15

The two prices are independent of each other

2. What is the mean and standard deviation of the amount Sally spends on breakfast daily?

Let's recall that:

1. The mean of the sum of two independent variables is the sum of their means.

2. The variance of the sum of two independent variables is equal to the sum of their variances.

Therefore,

Mean of the amount Sally spends on breakfast daily = Average price of a cup of coffee + Average price of a muffin

Replacing with the values we know:

Mean of the amount Sally spends on breakfast daily = 1.40 + 2.50

Mean of the amount Sally spends on breakfast daily = $ 3.90

Variance of the amount Sally spends on breakfast daily = Variance of the price of a cup of coffee + Variance of the price of a muffin

Replacing with the values we know:

Variance of the amount Sally spends on breakfast daily = 0.30² + 0.15²

Variance of the amount Sally spends on breakfast daily = 0.1125

Standard deviation of the amount Sally spends on breakfast daily = √0.1125

Standard deviation of the amount Sally spends on breakfast daily = $ 0.34 (rounding to the next cent)

3. What is the mean and standard deviation of the amount she spends on breakfast weekly (7 days)?

Mean of the amount Sally spends on breakfast weekly = 7 * Mean of the amount Sally spends on breakfast daily

Mean of the amount Sally spends on breakfast weekly = 7 * 3.90

Mean of the amount Sally spends on breakfast weekly = $ 27.30

Variance of the amount Sally spends on breakfast weekly = 7 * Variance of the amount Sally spends on breakfast daily

Variance of the amount Sally spends on breakfast weekly = 7 * 0.1125

Variance of the amount Sally spends on breakfast weekly = 0.7875

Standard deviation of the amount Sally spends on breakfast weekly = √0.7875

Standard deviation of the amount Sally spends on breakfast weekly = $ 0.89 (rounding to the next cent)

3 0
3 years ago
Cheese has holes.
guapka [62]

Answer:

Yes.

Step-by-step explanation:

Lets say the first cheese has 1 hole, if you add more cheese it will have 2 holes. the more holes you have the less cheese you will have. if this continued you would eventually get less cheese.

4 0
2 years ago
Read 2 more answers
Find x<br><br> A. 4√6<br> B. 4√6/3<br> C. 16√6/3<br> D. 32√3/3
Cerrena [4.2K]

Answer:

C

Step-by-step explanation:

let hypotenuse of triangle with 60°=y

\frac{8\sqrt{2}}{y} =sin ~60\\8 \sqrt{2}=y \times \frac{\sqrt{3}}{2} \\y=\frac{16 \sqrt{2}}{\sqrt{3}} =\frac{16 \sqrt{6}}{3}

4 0
3 years ago
Three tickets to a movie costs $37.50. If all tickets were the same price, what would be the cost of 2 tickets?
Anon25 [30]

Answer:

$25 I believe

Step-by-step explanation:

You would take $37.50 divided by 3 and get $12.50 which is the price of 1 ticket

Then you would multiply $12.50 x 2 to get $25

4 0
3 years ago
Read 2 more answers
HELP PLZ GUYS I BEG YOU 15 PTS ITS EASYYYYYYY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Aliun [14]

Answer:

1) The linear equation in point and slope form is y - 67 = -4 × (x - 14)

2) The variables are;

a) The number of candies available = y

b) The number of days Jennifer eats the candies =

c) The slope, m = -4

3) Jennifer received 123 pieces of candies on Halloween

Step-by-step explanation:

The given parameters are;

The number of candies Jennifer eats everyday = 4 pieces

The number of days for which Jennifer eats the daily 4 candies = 14

The number of candies left at the end of the 14th day = 67 candies

1) We note that the rate of decrease in the number of candies = 4 candies/day

Therefore, the slope of the linear equation is m = -4

The y-intercept = The initial amount of candies Jennifer has = c = 67 + 14× 4 = 123 candies

The linear equation in point and slope form is given as follows;

y - 67 = -4 × (x - 14)

2) The variables are;

a) The y-value represents the number of candies available on a specific day

b) The x value represents the number of days Jennifer eats the candies'

c) The slope = The rate of decrease in the number of candies per day = -4

3) The number of candies Jennifer receives on Halloween is given by the y-intercept of the straight line equation as follows;

y - 67 = -4 × (x - 14)

y - 67 = -4·x + 56

y = -4·x + 56 + 67 = -4·x + 123

y = -4·x + 123

Comparing the above equation, with the general form of the straight line equation, y = m·x + c, where, the constant term, c = The y-intercept, we have;

The y-intercept of the equation y = -4·x + 123 = 123 = The initial amount of candies Jennifer received on Halloween.

6 0
3 years ago
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