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son4ous [18]
3 years ago
10

Choose the postulate or theorem when combined with the AAA Postulate for triangle similarity can be used to establish the AA Pos

tulate for triangle similarity?
A) SAS Postulate
B) ASA Postulate
C) Angle Sum Theorem
D) Angle Bisector Theorem
Mathematics
2 answers:
Ket [755]3 years ago
7 0
This is the concept of geometry, for us to prove the similarity of angles we can use the following postulates:
SAS (side-angle-side)
ASA (Angle side Angle)
SSS (side side side)
AAS (Angle Angle side)
therefore, given that AAA is used to prove similarity, another postulate that can be used to strengthen the postulate is SAS, because we already have the angle sizes, adding more sides will make the prove even stronger since we shall have three corresponding angles plus wo corresponding sides.

Yuliya22 [10]3 years ago
4 0

The correct answer to this question is C

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The curves r1(t) = 4t, t2, t3 and r2(t) = sin(t), sin(5t), 2t intersect at the origin. find their angle of intersection, θ, corr
san4es73 [151]
First get the tangent vectors by differentiating r1 and r2 
r_1 '(t) = (4,2t,3t^2) \\  \\  r_2'(t) = (cos (t), 5 cos(5t), 2)
Evaluate at t=0
r_1' = (4,0,0) \\  \\ r_2' = (1,5,2)

Use identity for angle between 2 vectors:
u*v = |u| |v| cos \theta

Evaluate dot product and unit vectors:
u*v = (4,0,0)*(1,5,2) = 4 \\  \\ |u| = \sqrt{4^2 +0^2+0^2} = 4 \\  \\ |v| = \sqrt{1^2 + 5^2+2^2} = \sqrt{30}

Sub into identity and solve for theta:
4 = 4 \sqrt{30} cos \theta \\  \\ cos\theta = \frac{1}{\sqrt{30}} \\  \\ \theta = 79.48

Answer:
Angle of intersection is about 79 degrees.




5 0
3 years ago
Which ordered pair is not a solution to the equation y = 2x?
Yuliya22 [10]

Answer:

Step-by-step explanation:

Y=1/2y

8 0
2 years ago
Which is an example of continuous data?
Lynna [10]

Answer:

A) amount of snowfall in a blizzard  

Step-by-step explanation:

Both continuous and discrete data are quantitative.

The difference is that  

  • Continuous data can take any value. You obtain it by measurement.
  • Discrete data can take only certain values. You obtain it by counting.

The amount of snowfall in a blizzard is continuous data.  It can take any value such as 100.3 cm or 250.5 cm .

B) is wrong. The number of students who pass a math quiz is discrete data. You can't have half a student.

C is wrong. The number of languages an individual speaks is discrete data. You can't speak half a language.  

D) is wrong. The number or treadmills in a gym is discrete data. You can't have half a treadmill.

7 0
3 years ago
Read 2 more answers
While mining Fred found a large metal bar that contained 24 ounces of nickel. Fred also determined that the bar was 80% nickel.
frutty [35]

Answer:

Not that I'm a chemistry expert but mathematically,The total weight of the bar is directly proportional to the known weight of the bar and the given percentage. I worked it out and found that the the total weight of the bar is 30 ounces. This is how I did it

Step-by-step explanation:

80:24

100:n

80(n)=100×24

A little equation and after it's solve the variable (n) will be equal to 30

The unit is added after calculations so that's how the answer is <em><u>3</u></em><em><u>0</u></em><em><u> </u></em><em><u>oun</u></em><em><u>ces</u></em>

8 0
3 years ago
Which of the following is the reciprocal of x2-2x-8
Lemur [1.5K]
It would be 1 / (x + 2) (x - 4)
4 0
3 years ago
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