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zmey [24]
3 years ago
15

Which postulate can be used to prove that the triangles are congruent?

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
8 0
These two triangles are not congruent
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. A telephone company charges $0.05 per minute for local calls and $0.12 per minute for long distance calls. which expression gi
makvit [3.9K]
By hypothesis, each minute of local calls costs $0.05
So x minutes of local calls will cost 0.05x : You just multiply the cost of 1 minute by the total amount of minutes.
Same thing for long distances calls: Each minute costs $0.12, so y minutes of long distance calls will cost 0.12x

So to get your total charge (local calls + long distance calls), you just need to add the charges for local calls with the charges for long distance calls, which means that you need to add the expressions we got previously:

P = 0.05x + 0.12y (with P the total charge)

Hope this Helps! :)
6 0
4 years ago
Here is a histogram that shows the number of points scored by a college basketball player during the 2008 season. Describe the s
natima [27]

The shape of the histogram is positively skewed and the mean of the histogram is greater than the median

<h3>How to interpret the histogram?</h3>

From the complete question (see attachment for histogram), we have the following observations:

  • The bars at the left have greater heights than the bars at the right
  • The bars are of equal widths

The first highlight above means that the shape of the histogram is positively skewed.

This also means that the mean of the histogram is greater than the median

Read more about histograms at:

brainly.com/question/2962546

#SPJ1

5 0
2 years ago
The estimate regression equation for a model involving two independent variables and 10 observations follows.
True [87]

Answer:

a) b_1 = 0.5906\\b_2 = 0.4980

b) y = 289.815

Step-by-step explanation:

We are given the following information:

The estimate regression equation for a model involving two independent variables and 10 observations follows:

y = 29.1270 + 0.5906x_1 + 0.4980x_2

where x_1, x_2 are the two independent variable and y is the dependent variable.

a) The regression line is of the form:

y = b_0 + b_1x_1 + b_2x_2\\\text{where } b_0 \text{ is the y-intercept and }b_1, b_2\text{ are the coefficients of} x_1, x_2\text{ respectively}

Comparing, we get,

b_1 = 0.5906\\b_2 = 0.4980

These are the coefficients of x_1, x_2 respectively, and helps us to know the the significance of the independent variable in predicting the independent variable.

b) We have to estimate y when

x_1 = 180 \text{ and } x_2 = 310\\y = 29.1270 + 0.5906x_1 + 0.4980x_2\\\text{Putting values}\\y = 29.1270 + 0.5906(180) + 0.4980(320)\\y = 289.815

6 0
4 years ago
Calculate the side lengths a and b to two decimal places.
navik [9.2K]

Answer:

D. <em>a</em> = 11.71 and <em>b</em> = 15.56

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Trigonometry</u>

  • All angles in a triangle add up to 180°

<u>Pre-Calculus</u>

  • Law of Sines: \frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}

Step-by-step explanation:

<u>Step 1: Define</u>

AC = b

CB = a

AB = 7

m∠A = 45°

m∠B = 110°

m∠C = ?

<u>Step 2: Find missing ∠</u>

  1. Set up equation:                    m∠C + 45° + 110° = 180°
  2. Combine like terms:              m∠C + 115° = 180°
  3. Isolate unknown:                   m∠C = 25°

<u>Step 3: Find measure of </u><em><u>b</u></em>

  1. Substitute:                    \frac{sin(25)}{7} =\frac{sin(110)}{b}
  2. Cross-multiply:             bsin(25)=7sin(110)
  3. Isolate <em>b</em>:                       b=\frac{7sin(110)}{sin(25)}
  4. Evaluate:                       b=15.5645
  5. Round:                          b \approx 15.56

<u>Step 4: Find measure of </u><em><u>a</u></em>

  1. Substitute:                    \frac{sin(25)}{7} =\frac{sin(45)}{a}
  2. Cross-multiply:             asin(25)=7sin(45)
  3. Isolate <em>a</em>:                       a=\frac{7sin(45)}{sin(25)}
  4. Evaluate:                       a=11.7121
  5. Round:                          a \approx 11.71
6 0
3 years ago
Look at the graphed function shown.
stiks02 [169]
Go to photo mathhhhh
5 0
3 years ago
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