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Dimas [21]
3 years ago
15

Three points, A, B, and C exists in space such that B is "between" A and C. It is known that AB=7, BC=4, and AC=9. Are points A,

B, and C collinear? Give a written explanation, supported by mathematical evidence, for your answer.
Mathematics
1 answer:
EleoNora [17]3 years ago
8 0

If the points are collinear, then that would mean that the points lie on the same line when joined to each other. In order to confirm this, the distances between the points must sum up to the length of the line.<span>

AB + BC = AC
7 + 4 ? 9
11 ≠ 9

<span>Since they do not sum up, therefore, the points are not collinear.</span></span>

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Select the correct answer
Amiraneli [1.4K]

Answer:

c or d

Step-by-step explanation:

8 0
3 years ago
A coffee supply store waits until the orders for its special blend reach 100 pounds before making up a batch. Columbian coffee s
yan [13]
X - Columbian coffee ( in pounds),
y - Brazilian coffee ( in pounds );
x + y = 100
8.85 x + 3.85 y = 6.55 ( x + y )
----------------------------------------
x = 100 - y
8.85 ( 100 - y ) + 3.85 y = 6.55 * 100
855 - 8.55 y + 3.85 y = 655
- 5 y = - 230
y = ( - 230 ) : ( - 5 )
y = 46
x = 100 - 46
x = 54
Answer: 54 pounds of Columbian coffee and 46 pounds of Brazilian coffee should be used.
5 0
3 years ago
What is the area of the triangle?<br> 24<br> 10<br> 26<br> units 2 HELP PLEASE
fgiga [73]
A=1/2x Base x Height

= 1/2 (10)(24)

=120
5 0
2 years ago
What is the measure of angle A please HELP I’ll give you BRAINLIEST
k0ka [10]

Answer:

Option (3)

Step-by-step explanation:

By applying cosine rule in the triangle ABC,

BC² = AC² + AB² - 2(AC)(AB)cosA

5² = 3² + 7²- 2(3)(7)cosA

25 = 9 + 49 - 42cos(A)

25 = 58 - 42cos(A)

cos(A) = \frac{33}{42}

A = \text{cos}^{-1}\frac{11}{14}

A = 38.21°

A ≈ 38°

Option (3) will be the correct option.

8 0
2 years ago
8
ozzi
The answer is A. 6 and 10
3 0
3 years ago
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