It is verg important because once diving "The length of one cathetus in a right triangle with equal catheti is the squareroot of half of the squared hypotenuse. And yeah
Answer:
See image
Step-by-step explanation:
For this question, you need to know several special relationships about circles. A radius goes from the center of a circle to any point on the circle. All the radii (not a typo, plural of radius is radii) are the same size, their measures are equal; we say they are congruent (the symbol is an equal sign with a ~over it)
In the diagram, OA and OB are congruent because they are radii. AC is a tangent, that means that it touches the circle at exactly one point, in this case at A. So since OA is a radius and AC is a tangent, they are perpendicular to each other (makes 90° angles). Then we can subtract 90 - 72 to find the angle OAB. Angle OAB is 14°. In triangle AOB, which has two sides the same, the opposite angles will also be congruent which means OBA is also 14° (OR you could use the exact same logic for OB perpendicular to BC and subtract, same calculation as before) . Once you have the two 14° angles in the triangle, you can use the fact that all the angles in a triangle add up to 180° So then, 14 + 14 + x =180. Solve this equation to find angle AOB. See image.
35<em>x</em>² = 7<em>x</em> • 5<em>x</em>, and
5<em>x</em> (7<em>x</em> + 3) = 35<em>x</em>² + 15<em>x</em>
Subtract this from the dividend to get an initial remainder of
(35<em>x</em>² - 48<em>x</em> - 27) - (35<em>x</em>² + 15<em>x</em>) = -63<em>x</em> - 27
-63<em>x</em> = 7<em>x</em> • (-9), and
-9 (7<em>x</em> + 3) = -63<em>x</em> - 27
Subtract this from the previous remainder to get a new one of
(-63<em>x</em> - 27) - (-63<em>x</em> - 27) = 0
and we're done.
Now just gather the terms in bold (and the remainder, but since it's 0 we leave it out). So we have
(35<em>x</em>² - 48<em>x</em> - 27) / (7<em>x</em> + 3) = 5<em>x</em> - (63<em>x</em> + 27) / (7<em>x</em> + 3)
(35<em>x</em>² - 48<em>x</em> - 27) / (7<em>x</em> + 3) = 5<em>x</em> - 9
6 x 4.3 = (6 x 4)+ (6 x 0.3) = 24 + 1.8 = 25.8
Represent algebraically: If b baseball cards were divided equally is total number of cards is 150
<u>Solution:</u>
Given that, if “b” baseball cards were divided equally among 3 people, each person would receive 25 cards less than if the “b” baseball cards were divided equally between 2 people.
We have to represent it in algebraic form.
Now, number of cards per each person when divided among 3 = number of cards per each person when divided among 2 – 25
Hence, total number of cards are 150