I'll do part (a) to get you started.
The angle 'a' pairs up with the 123 degree angle as a corresponding angle pair. Due to the parallel lines, the corresponding angles are congruent. Therefore a = 123.
We also see that b = 123 as well since a = b (they are vertical angles).
Notice how angle c is adjacent to the 123 degree angle. These two angles form a straight line, so they must add to 180 degrees.
c+123 = 180
c = 180-123
c = 57
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To summarize, we have these three angles
a = 123
b = 123
c = 57
Answer:
31.4 yards
Step-by-step explanation:
Radius (R) = d / 2
R = 10 / 2 = 5 yards
Circumference (C) = 2 π r
C = 2 * 3.14 * 5 yards
C = 31.4 yards
The equation which is equivalent to the equation as given in the task content is; 6x -8y = 36.
<h3>Which equation is equivalent to the equation as given in the task content?</h3>
According to the task content, it follows that the equation which is given in the task content is;
3x -4y = 18.
Hence, upon multiplication of the whole equation by 2; the resulting equation from the multiplication is;
6x -8y = 36
Ultimately, the equivalent equation is; 6x -8y = 36.
Read more on equivalent equations;
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Answer:
She deposited $7500. So it is the principal.
At the end of years, she had total of $8700.
So the total amount is $8700 and the time period is 2 years.
Interest = Total amount - principal = $8700 - $7500 = $1200
We need the rate of interest.
we know that Interest = PTR/100
⇒1200 = 7500*2*R/100
⇒R = 1200*100/7500*2
⇒R = 120000/15000 = 8%
Rate of interest is 8%
Step-by-step explanation: