Terry, Kevin and Barry have a total of 215 marbles.=> Terry has 20 marbles more than Barry = x + 20=> Kevin has 10 marbles more than Terry = (x + 20) + 10=> Barry = xSolutions:=> x + x + 20 + x + 20 + 10 = 215=> 3x + 50 = 215=> 3x = 215 - 50=> 3x = 165=> 3x / 3 = 165 / 3=> x = 55Barry have = 55Terry = 55 + 20 = 75<span>Kevin => 75 + 10 = 85</span>
1- false a positive is greater than a negative so clearly there could be positive answers to the inequality. 2-true since the numbers and sign flipped it would still be the same
Answer:
-8/23
Step-by-step explanation:
3x/(5x+2) = - 4
3x = - 4(5x + 2)
3x = -20x - 8
23x = - 8
x = - 8/23
9514 1404 393
Answer:
x = 57
Step-by-step explanation:
Where parallel lines are crossed by a transversal, all obtuse angles are congruent and supplementary to all acute angles, which are also congruent.
x = 180 -123
x = 57
Let AB be a chord of the given circle with centre and radius 13 cm.
Then, OA = 13 cm and ab = 10 cm
From O, draw OL⊥ AB
We know that the perpendicular from the centre of a circle to a chord bisects the chord.
∴ AL = ½AB = (½ × 10)cm = 5 cm
From the right △OLA, we have
OA² = OL² + AL²
==> OL² = OA² – AL²
==> [(13)² – (5)²] cm² = 144cm²
==> OL = √144cm = 12 cm
Hence, the distance of the chord from the centre is 12 cm.
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