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AveGali [126]
3 years ago
5

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar because of the _____.

Mathematics
2 answers:
nika2105 [10]3 years ago
6 0
C) AAA because if 2 angles are equal that means the 3rd one has to be equal as well and aaa is a similarity theorem
OlgaM077 [116]3 years ago
4 0
B.) If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar because of the "<span>ASA Similarity Postulate"

Hope this helps!</span>
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A surveyor leaves her base camp and drives 42km on a bearing of 032degree she then drives 28km on a bearing of 154degree,how far
ValentinkaMS [17]

Answer:

The surveyor is 36.076 kilometers far from her camp and her bearing is 16.840° (standard form).

Step-by-step explanation:

The final position of the surveyor is represented by the following vectorial sum:

\vec r = \vec r_{1} + \vec r_{2} + \vec r_{3} (1)

And this formula is expanded by definition of vectors in rectangular and polar form:

(x,y) = r_{1}\cdot (\cos \theta_{1}, \sin \theta_{1}) + r_{2}\cdot (\cos \theta_{2}, \sin \theta_{2}) (1b)

Where:

x, y - Resulting coordinates of the final position of the surveyor with respect to origin, in kilometers.

r_{1}, r_{2} - Length of each vector, in kilometers.

\theta_{1}, \theta_{2} - Bearing of each vector in standard position, in sexagesimal degrees.

If we know that r_{1} = 42\,km, r_{2} = 28\,km, \theta_{1} = 32^{\circ} and \theta_{2} = 154^{\circ}, then the resulting coordinates of the final position of the surveyor is:

(x,y) = (42\,km)\cdot (\cos 32^{\circ}, \sin 32^{\circ}) + (28\,km)\cdot (\cos 154^{\circ}, \sin 154^{\circ})

(x,y) = (35.618, 22.257) + (-25.166, 12.274)\,[km]

(x,y) = (10.452, 34.531)\,[km]

According to this, the resulting vector is locating in the first quadrant. The bearing of the vector is determined by the following definition:

\theta = \tan^{-1} \frac{10.452\,km}{34.531\,km}

\theta \approx 16.840^{\circ}

And the distance from the camp is calculated by the Pythagorean Theorem:

r = \sqrt{(10.452\,km)^{2}+(34.531\,km)^{2}}

r = 36.078\,km

The surveyor is 36.076 kilometers far from her camp and her bearing is 16.840° (standard form).

5 0
3 years ago
A polynomial function has a zero at 4 (multiplicity 3) and 0 (multiplicity 1). Write a function in standard form that can repres
VLD [36.1K]

Answer:

(x^4) - 64x

Step-by-step explanation:

zeros at 4 and 0 are the roots so can be factor as x*(x-4) and the multiplicity tels to what power you have to raise those factors

x^{1} *(x-4)^{3} becuase multiplicity of 1 for root at 0, and multiplicity of 3 at root 4

now to write this in standard form

x*(x-4)^{3} = \\x*(x-4)(x^{2} +4x+16)= \\(x^{2} -4x)(x^{2} +4x+16) = \\x^{4} +4x^{3} +16x^{2} -4x^{3} -16x^{2} -64x = \\x^{4} -64x

8 0
2 years ago
Find the upper quartile of this data set: 593, 588, 540, 434, 420, 398, 390, 375
ratelena [41]
The answer is D. 564
When you put all the numbers in order from least to greatest and find the median which is between 420 and 434, you can then find your upper quartile which would be between 540 and 588 making it D
4 0
3 years ago
<img src="https://tex.z-dn.net/?f=4%20%5Ctimes%20%20%7B8%7D%5E%7Bx%20%2B%201%7D%20%20%3D%20%20%7B2%7D%5E%7B2x%7D%20" id="TexForm
Olin [163]

Answer:

- 2

Step-by-step explanation:

2^2×2^3(x+1)=2^2x

same base cancel,you will get

2+3x+3=2x

take same variable then - or + you will get

x =  - 2

4 0
3 years ago
Read 2 more answers
Could I please have help I’m being timed
galina1969 [7]

Answer:

x = 8

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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