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Tcecarenko [31]
3 years ago
12

Which of the following statements is not​ true? Choose the correct answer below. A. Similar triangles have the same shape and si

ze. B. The corresponding angles of similar triangles have the same measure. C. If two triangles are​ similar, then the ratio of the lengths of any two sides of one triangle is equal to the ratio of the lengths of the corresponding sides of the other triangle. D. If two triangles are​ similar, then there exists a constant kgreater than or equals1 which is equal to the ratio of the lengths of corresponding sides.
Mathematics
1 answer:
valentina_108 [34]3 years ago
7 0

Answer:

D. If two triangles are​ similar, then there exists a constant k greater than or equals 1 which is equal to the ratio of the lengths of corresponding sides.

Step-by-step explanation:

Two triangles are similar if their corresponding angles are the same size. They need not be of the same length but the corresponding sides should be of the same proportion. One may be bigger that the other but the ratio of the lengths of corresponding sides will be equal. They may also be mirror images of one another so they will essentially have the same shape.

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Which expression does NOT have a value of 18?
Tema [17]
There are an infinite number of expressions whose value is not 18.
Here are a few of them:

4π

√7

cos(any angle)

sin(any angle)

(x + 12)  whenever 'x' is NOT 6


4 0
4 years ago
Find an explicit formula for the following sequence, an, which starts with a1=−8.<br> −8,−5,−2,1,4,…
stepan [7]

Formula for an is 3n - 11

Step-by-step explanation:

  • Step 1: Equation for a(n) = a + (n - 1)d where a = - 8, d = common difference = a2 - a1 = -5 - -8 = 3

⇒ a(n) = -8 + (n - 1)3 = - 8 + 3n - 3 = 3n - 11

8 0
3 years ago
Read 2 more answers
A car travels at the rate of 350km in 5 hours.
leva [86]

Answer:

a.) 70 km per hour

b.) 245 km

Step-by-step explanation:

a.) Find how far the car can travel per hour by dividing:

\frac{350}{5}= 70

The car travels at a rate of 70 km per hour.

b.) Make an equation with <em>h</em> as hours and <em>d</em> as the distance the car can travel:

d=70h

Insert the hours:

d=70(3.5)

Simplify:

d=70*3.5\\d=245

At a rate of 70 km per hour, in 3.5 hours, the car can travel a total of 245 km.

3 0
3 years ago
Show all your work to graph f(x) = −2(x − 4)^2 + 2.
Lelu [443]

Answer:

The answer to your question is

Step-by-step explanation:

Data

        f(x) = -2(x - 4)² + 2

Process

1) Assign values to x and evaluate the function to get y.

                          x             f(x)                           y

                          0            -2(0 - 4)² + 2           -30

                           1           -2(1 - 4)² + 2             -16

                           2          -2(2 - 4)² + 2            - 6

                           3          -2(3 - 4)² + 2              0

                           4          -2(4 - 4)² + 2              2

                           5         -2(5 - 4)² + 2               0

                           6         -2(6 - 4)² + 2              -6

2.- Plot the points (see the graph below)

3.- Join the points (see the graph below)

6 0
3 years ago
A model for the density δ of the earth’s atmosphere near its surface isδ=619.09−0.000097pwhere p (the distance from the center o
natta225 [31]

Answer: 3.751*10^18kg

Step-by-step explanation:

δ =619.09−0.000097p....equa1 where p (the distance from the center of the earth) is measured in meters and δ is measured in kilograms per cubic meter.

Calculating the density of air at 5km above earth surface

P = 5000m + 6370000m = 6.375*10^6m

δ = 619.09 -(.000097* 6.375*10^6)

δ = 0.715kg/m^3 = density

Since Mass = density*volume...equ2

To calculate volume of air around the spherical earth at height 5km

V = (4/3 pai R^3) - (4/3pai r^3) ...equation 3 where R =6.375*10^6m, r = 6.37*10^6

Substituting R and r in equation 2 to solve for volume of air

V = 1.085*10^21 - 1.08*10^21

V = 5.25*10^18m^3

Substituting δ and V into equation 2 to solve for mass of air

M = 0.715 * (5.25*10^18)

M = 3.751*10^18kg

8 0
3 years ago
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