Use substitution to solve this problema=5, b=25a - b = ‽
1 answer:
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Answer:
Step-by-step explanation:
First both the rational numbers should have same denominators. So, find least common denominator
Least common denominator is 10
Now multiply the numerator and denominators of the both the numbers by 10.
Answer:
The probability that the sum of the dice is 3, is 3/16.
Step-by-step explanation:
It is given that two four-sided dice are rolled.
Total number of sides of each dice = 4
Possible values for each dice = 1,2,3,4
If two four-sided dice are rolled, then the total possible outcomes are
Total number of possible outcomes = 16
The sum of the dice is 3.
Total number of favorable outcomes = 3
The probability that the sum of the dice is 3.
Therefore the probability that the sum of the dice is 3, is 3/16.
Answer:
Angle ACD = 38°
Step-by-step explanation:
The full, correct question is presented the attached image to this solution.
Given
Point O is the centre if the circle
Points A, B, C and D are points on the circle
Angle AOB = 140°
Angle OAC = 14°
Angle AOB = 2 × (Angle ACB) [angle subtended at the centre of the circle is twice the angle subtended at the circumference of the circle)
140° = 2 × (Angle ACB)
Angle ACB = (140°/2) = 70°
(Angle AOB) + (Angle OAB) + (Angle ABO) = 180° [sun of angles in a triangle is 180°]
But Angle OAB = Angle ABO = a [base angles of an iscosceles triangle are equal since OA and OB are both radii for the circle O)
(Angle AOB) + (Angle OAB) + (Angle ABO) = 180°
140° + a + a = 180°
2a = 40°
a = (40/2) = 20°
Angle OAB = Angle ABO = 20°
Angle CAB = (Angle OAC) + (Angle OAB) = 14° + 20° = 34°
Triangle ADC is an iscosceles triangle, hence,
Angle DAC = Angle ACD = x [base angles of an iscosceles triangle are equal]
But
(Angle DCB) + (Angle DAB) = 180° [Opposite angles of a cyclic quadilateral (a quadilateral inscribed in a circle) sum up to give 180°]
Angle DCB = (Angle DCA) + (Angle ACB) = (x + 70°)
Angle DAB = (Angle DAC) + (Angle CAB) = (x + 34°)
(Angle DCB) + (Angle DAB) = 180°
(x + 70°) + (x + 34°) = 180°
2x + 104° = 180°
2x = 180° - 104° = 76°
x = (76°/2) = 38°
Angle DAC = Angle ACD = 38°
Angle ACD = 38°
Hope this Helps!!!
Answer:
Step-by-step explanation:
This line was never finished, so you finish it like this:
3 = −⅖ + b
Parallel Lines have SIMILAR <em>RATE OF CHANGES</em> [<em>SLOPES</em>], so ⅖ remains the way it is.
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