What number must be subtracted from both the numerator and the denominator of 5/3 to obtain a Fraction equal to 5/7 ?
1 answer:
Answer:
Step-by-step explanation:
Let the number = x
So we are trying to work out what number must be subtract from the numerator and denominator of 5/3 to equal 5/7.
You can write this as:
Then you want to get rid of the fractions so multiply both sides by 3-x
Then multiply both sides by 7
Multiply it out.
35 - 7x = 15 - 5x
Add 7x to both sides:
35 = 15 - 5x + 7x
35 = 15 + 2x
Subtract 15 from both sides
35 - 15 = 2x
20 = 2x
To find x, divide both sides by 2.
x = 10.
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Answer:
The arc measure, x, that the satellite can see is 160°
Step-by-step explanation:
Given that the two tangents intersect at a point outside the with circle center O
The angle formed between between the two tangent = 20°
The first arc formed is measured as x°, which is the arc opposite the point where the two tangents meet = The arc the satellite can see
The angle x is given by the relationship;
x = 2 × (90 - v/2)
Where;
v = The angle formed at the point where the two tangent meet = 20°
Therefore;
x = 2 × (90 - 20/2) = 2 × (90 - 10) = 2 × 80 = 160°
The arc measure, x, that the satellite can see = 160°.
