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3 years ago

Explain how rays AB and AC form both a line and an angle

2 answers:

7 0

Sample Response: An angle is defined as two rays with a common endpoint, so CAB (or BAC) is an angle. A line is described as an infinite set of points that extend forever in either direction, which these rays also do.

kolbaska11 [484]3 years ago

6 0

Points A, B, and C lie on a line.
Point A is between points B and C.
Starting at point A and going past point B, you have ray AB.
Starting at point A and going past point C, you have ray AC.
If you think of angle BAC, it is a straight angle of 180 degrees.
You have the two rays AB and AC forming a line and an angle.

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Karen, James, Frank, and Dan were left an inheritance by their late grandfather. If Karen receives one-eighth of the inheritance

pashok25 [27]

Count what fraction receive Karen, James and Frank in total:

since

Karen receives - $\frac{1}{8}$ ,

James receives - $\frac{1}{4}=\frac{2}{8}$ ,

Frank receives - $\frac{3}{8}$ ,

then $\frac{1}{8} +\frac{2}{8} +\frac{3}{8} =\frac{1+2+3}{8}=\frac{6}{8} =\frac{2\cdot 3}{2\cdot 4} =\frac{3}{4}$ .

All inheritance is the whole 1, then for Dan remains $1-\frac{3}{4} =\frac{4}{4} -\frac{3}{4} =\frac{4-3}{4} =\frac{1}{4}$ .

Answer: Dan receives one quarter of the inheritance.

4 0

2 years ago

Read 2 more answers

Part 1

svetlana [45]

Answer:

A: This polynomial has a degree of 2 , so the equation 12x2+5x−2=0 has two or fewer roots.

B: The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots.

Step-by-step explanation:

f(x) = 12x^2 + 5x - 2.

Since this is a quadratic equation, or a polynomial of second degree, one can easily conclude that this equation will have at most 2 roots. At most 2 roots mean that the function can have either 2 roots at maximum or less than 2 roots. Therefore, in the A category, 2nd option is the correct answer (This polynomial has a degree of 2 , so the equation 12x^2 + 5x − 2 = 0 has two or fewer roots).

To find the roots of f(x), set f(x) = 0. Therefore:

12x^2 + 5x - 2 = 0. Solving the question using the mid term breaking method shows that 12*2=24. The factors of 24 whose difference is 5 are 8 and 3. Therefore:

12x^2 + 8x - 3x - 2 = 0.

4x(3x + 2) -1(3x+2) = 0.

(4x-1)(3x+2) = 0.

4x-1 = 0 or 3x+2 = 0.

x = 1/4 or x = -2/3.

It can be seen that f(x) has two distinct real roots. Therefore, in the B category, 1st Option is the correct answer (The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots)!!!

8 0

3 years ago

What is the solution to the equation4x-6=10x-3 ?

shepuryov [24]

Answer:

-1/2 dont forget the negative!!!

Step-by-step explanation:

pull out like terms

5 0

3 years ago

What is the answer of. 4y+7>-x-3

lora16 [44]

I don’t know what u need to look for but I think for y
4y+7>-x-3
4y>-x-10
y>-1/4x-5/2

5 0

3 years ago

In triangle ABC show find BC..<br><br><br> Need help ASAP!!!

Temka [501]

Answer: BC=22cm

Step-by-step explanation:

5d-3=3d+7

2d=10

d=5

plug 5 into the equation for BC, and you get 22

3 0

2 years ago

Read 2 more answers