Answer:
Length of diagonal is 18 m
Step-by-step explanation:
Given in trapezoid ABCD. AC is a diagonal and ∠ABC≅∠ACD. The lengths of the bases BC and AD are 12m and 27m. We have to find the length of AC.
Let the length of diagonal be x m
In ΔABC and ΔACD
∠ABC=∠ACD (∵Given)
∠ACB=∠CAD (∵Alternate angles)
By AA similarity theorem, ΔABC~ΔACD
∴ their corresponding sides are proportional
Comparing first two, we get
⇒ 
⇒ 
⇒ 
hence, the length of diagonal is 18 m
Pretty sure it would be 21x^2+16x+17y
Deposit mean add 50, then withdraw means taking out 20, you do subtraction: $50-$20=$30
the answer for the question above is 9/5
Answer:
$1023.74
Step-by-step explanation:
Joan wants to buy a new TV that costs $1299.99. The store has a discount on the TV for 30% off. The city Joan lives in has a 12.5% sales tax. What will be the total cost of the TV?
Step 1
We find the new price after the discount.
Discount = % Discount × Current price
= 30% × $1299.99
= $389.997
The new discounted price =
$1299.99 - $389.997
= $909.993
Step 2
We calculate the Sales tax
The city Joan lives in has a 12.5% sales tax.
Hence,
The sales tax =
12.5% × $909.993
= 12.5/100 × $909.993
= $113.749125
Step 3
The total cost of the TV is calculated as:
Sales Tax + Discounted price
= $113.749125 + $909.993
= $1023.742125
Approximately = $1023.74
The total cost of the TV = $1023.74
