X - the amount of money collected by Aiden
y - the amount of money collected by Jacob
Aiden and Jacob collected money in the ratio of 3.5 : 6.8.
Jacob collected $115.50 more than Aiden.
The total amount of money they collected is
$360.50.
Answer:
Triangle VTU and ABC are congruent by SAS
Step-by-step explanation:
You can tell that these triangles are the same because the lines on the sides and angle are the same.
Answer:
See explanation
Step-by-step explanation:
Consider triangles ABD and BEC. In these tirangles:
- Angles BCE and ADB are congruent, because angles BCA and BDA areinscribed angles subtended on the same arc AB;
- Angles CBE and DBA are congruent too. Consider two angles DBA and DCA, they are congruent, because they are inscribed angles subtended on the same arc AD. Since AD=CD, angles ACD and DAC are congruent as angles adjacent to the base of isosceles triangle ACD. Angles DAC and CBD are congruent as inscribed angles subtended on the same arc CD. Hence, ∠DBA=∠DCA=∠DAC=∠CBD. Angle CBD is angle CBE too.
So, by AA similarity theorem, tringles DBA and CBE are similar. Similar triangles have proportional corresponding sides, thus
We have
<span>Cos B=27/123
27=3</span><span>^3
123=3*41
27/123=</span>3^3/(3*41)=3^2/(41)=9/41
Cos B=9/41
200/100=2
2*3=6
6=1 month’s interest earnings
6*12=72
72=one year’s interest earnings
200*12=2400
2400=one year’s deposit
72*15=1080
1080=15 year’s interest earnings
2400*15=36000
36000=15 year’s deposit
36000+1080=37080
the answer is $37,080.00