Answer:
65 degrees because tangent chord angles are half the size of the arc
If your choices are the following:
A.<span> $1,350
B. $1,536
</span>C.<span> $1,653
</span>D.<span> $5,163
</span>E.<span> None of these
</span>
Then the answer is B. $1,536.
Solution:
<span>$60,000 x .0256
</span>=<span>1,536</span>
0.0900-0.0088=0.0812
I did it by thinking of it as 900-88=812
∆PQR and ∆SQT are similar, so corresponding sides occur in fixed ratios with one another. This means
SQ / PQ = ST / PR
Solve for x :
8 / ((x + 5) + 8) = (x - 9) / 21
8 / (x + 13) = (x - 9) / 21
168 = (x - 9) (x + 13)
168 = x² + 4x - 117
x² + 4x - 285 = 0
(x + 19) (x - 15) = 0
⇒ x = -19 or x = 15
But x can't be smaller than 9, otherwise ST = x - 9 would be a negative length. So x = 15.
Answer:
The solution of the equation 4x+y=5 and 3x+y=3 be (2 , -3) .
Option (D) is correct .
Step-by-step explanation:
As given the equations are .
4x+y=5
3x+y=3
Subtracted 3x+y=3 from 4x+y=5 .
Thus
4x - 3x + y - y = 5 - 3
x = 2
Put in the equation 4x+y=5 .
4 × 2 + y = 5
8 + y = 5
y = -8 + 5
y = -3
Therefore the solution of the equation 4x+y=5 and 3x+y=3 be (2 , -3) .
Option (D) is correct .