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3 years ago

9

Name the property shown by the statement. (8 + 7) + 3 = 8 + (7 + 3)

1 answer:

Evgen [1.6K]3 years ago

8 0

Step-by-step explanation:

Associative Property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped', I mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis. Example: 3+(2-4) can be rewritten as (3+2)-4.

hope it helps!

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Given circle N with chord AB, which point lies on the perpendicular bisector of AB?

aivan3 [116]

The point that lies on the perpendicular bisector of AB is point N

<h3>How to determine the point?</h3>

The circle is given as:

Circle N

The chord is given as:

Chord AB

The perpendicular bisector of the chord is any line drawn from the center of the circle that divides the chord in equal halves.

This means that the point starts from point N

Hence, the point that lies on the perpendicular bisector of AB is point N

Read more about perpendicular bisectors at:

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3 years ago

Find the discriminant if 3x^2-10x=-2

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Find the solutions for a triangle with a = 16, c =12, and B = 63º.

maks197457 [2]

Answer:

b. A = 71.6°; C = 45.40°; b =15.0

Step-by-step explanation:

The missing values can be found with the help of the Law of Cosine and properties of triangles:

Side b (Law of Cosine)

$b = \sqrt{a^{2}+c^{2}-2\cdot a \cdot c \cdot \cos B}$

$b = \sqrt{16^{2}+12^{2}-2\cdot (16)\cdot (12) \cdot \cos 63^{\circ}}$

$b \approx 15.022$

Angle A (Law of Cosine)

$\cos A = -\frac{a^{2} - b^{2}-c^{2}}{2\cdot b \cdot c}$

$\cos A = - \frac{16^{2}-15.022^{2}-12^{2}}{2\cdot (15.022)\cdot (12)}$

$\cos A = 0.315$

$A= \cos^{-1} 0.315$

$A \approx 71.639^{\circ}$

Angle C (Sum of internal angles in triangles)

$C = 180^{\circ} - 63^{\circ} - 71.639^{\circ}$

$C = 45.361^{\circ}$

Hence, the right answer is B.

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4 years ago