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Vesna [10]
3 years ago
14

The first side of a triangle measures 3 in. less than the second side, the third side is 2 in. more than the first side, and the

perimeter is 20 in. Set up an equation that relates the sides of the triangles in terms of the perimeter of the triangle.
Mathematics
1 answer:
Debora [2.8K]3 years ago
5 0

Answer:

P = 3x - 4

Step-by-step explanation:

Side 1 = x - 3

Side 2 = x

Side 3 = 2 + (Side 1) = 2 + x - 3 = x - 1

Perimeter = 20 in

Perimeter = Side 1 + Side 2 + Side 3

Perimeter = (x - 3) + (x) + (x - 1)

Perimeter = x - 3 + x + x - 1

Perimeter = 3x - 3 - 1

Perimeter = 3x - 3 - 1

Perimeter = 3x - 4

P = 3x - 4

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Solve the triangle. Round your answers to the nearest tenth.
wel

Answer:

m∠A ≈ 43°

m∠B ≈ 55°

mBC ≈ 20

Step-by-step explanation:

Law of Sines: \frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}

Step 1: Find m∠B

\frac{29}{sin82} =\frac{24}{sinB}

Step 2: Solve for ∠B

29sinB = 24sin82°

sinB = 24sin82°/29

B = sin⁻¹(24sin82°/29)

B = 55.038°

Step 3: Find m∠A

180 - (55.038 + 82)

180 - 137.038

m∠A = 42.962°

Step 4: Find BC

\frac{29}{sin82} =\frac{BC}{sin42.962}

Step 5: Solve for BC

29sin42.962° = BCsin82°

BC = 29sin42.962°/sin82°

BC = 19.9581

4 0
3 years ago
If the standard deviation of a set of data is zero, what can you conclude about the set of values? The sum of the deviations fro
Rashid [163]

Answer:

All values are identical.

Step-by-step explanation:

We are given the following in the question:

If the standard deviation of a set of data is zero.

Then, all the values in data are identical.

This can be shown as:

Let all the terms in data be x.

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{nx}{n} = x

Sum of squares of differences =

\displaystyle\sum (x_i - x)^2 = 0

\sigma = \sqrt{\frac{0}{n}} = 0

Thus, the correct answer is

All values are identical.

3 0
3 years ago
What is the measure of
posledela
The triangle is isosceles so m∠A and m∠C are the same. 

So to find ∠B, we do 74 + 74 + b = 180

148 + b = 180
b = 180 - 148
b = 32

Answer B is the right choice. 
3 0
3 years ago
A researcher shows Trey two containers of the same size, both containing the same amount of marbles. The researcher pours one co
SVEN [57.7K]

Answer:

Conservation

Step-by-step explanation:

Conservation is the principle that an object maintains the same size and shape even if it is repositioned or divided in certain ways.

3 0
3 years ago
Petra jogs 5 miles in 40 minutes. At this rate, how long would it take her to jog 7 miles?
Wittaler [7]
(40 min)/(5 mi) = (time)/(7 mi) . . . . . the rates are the same
(7/5)*(40 min) = time = 56 min

At the same rate, it would take Petra 56 minutes to jog 7 miles.
6 0
3 years ago
Read 2 more answers
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