In any cyclic quadrilateral, angles opposite one another are supplementary, meaning

and given that
, we have
.
By the inscribed angle theorem,


and since

we have

and it follows that

The answer is 0.23. Ned an explanation
The answer is option "A, 13".
As both triangles are similar.
<span>ΔRST ≅ ΔXYZ.
it means RS = XY
YZ = ST
and XZ = RT
Now given that RS = 13 which is equal to XY.
Thus XY is equal to 13.</span>
The equation to find the amount of money spent is 27 + 0.05m. This equation, in this case, needs to be larger or equal to 90.70. So our inequality would be:
27 + 0.05m >= 90.70
Now we can solve this equation for m.
27 + 0.05m >= 90.70
0.05m >= 63.70
m >= 1274
Answer:
B. 5 and 1/4 percent
Step-by-step explanation:
Step one:
given
principal= $2460
time= 3 and 1/2 years= 3.5 years
SI= $452
Required
The rate
Step two:
we know that
SI= PRT/100
substituting our data we have
452= 2460*R*3.5/100
452=8610R/100
cross multiply
452*100= 8610R
divide both sides by 8610
45200/8610= R
R= 5.25%
R= 5 and 1/4 percent