There are two triangles here: ABC and ADF. These triangles are similar, and thus proportional. So, we can set up a proportion between the left side of each triangle and the base of each triangle.
AB / AD = BC / DE
4 / (4 + BD) = 5 / 9
---AD is made up of AB and DB. We know AB, but not BD, so we need to find its value to find the length of AD.
5(4 + BD) = 9 x 4
20 + 5BD = 36
5BD = 16
BD = 3.2
AD = AB + BD
AD = 4 + 3.2
AD = 7.2
Hope this helps!
Answer:
Store A has a better deal because $402.90 is less than $404.10.
Step-by-step explanation:
<u>Store A</u>
The $25 off coupon reduces the price to ...
$499 - 25 = $474
The discount from this amount is 15%, so is ...
$474 × 0.15 = $71.10
The final amount paid is then ...
$474.00 -71.10 = $402.90
(<em>Side note</em>: you can select the correct answer at this point, because only one answer shows this value.)
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<u>Store B</u>
After the $20 off coupon, the price is ...
$469 -20 = $449
The additional 10% discount amounts to ...
$449 × 0.10 = $44.90
So, the final price is ...
$449.00 -44.90 = $404.10
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Now, you know that Store A offers the better price because $402.90 is less than $404.10.
Answer:
.094
Step-by-step explanation:
Long division is really annoying, so here we go. Have it written on your paper and follow along.
When doing long division, you want to ignore the decimal until the very end. So how many times does 37 fit into 34? It doesn't, so write a 0 on top. Instead ask how many times it can fit into 347. It can only fit 9 times, so write the 9 next to the 0. Now multiply 37 times 9, since it can fit in 9 times. Place that number (333) under the 347. Subtract that and write the new number underneath (14). Bring down the 8 and add it to the end of your new number (now 148). How many times does 37 fit into 148? It goes in 4 times perfectly. Write the 4 on top, and now multiply 4 times 37, since it goes in 4 times. Put that number (148) below the original 148, subtract, and they cancel out. You're done with the problem! Add the decimal back in. Since there 3 numbers after the decimal in 3.478, the decimal will go before 3 numbers in your answer. Hope this helped!
Answer:
3.44571
Step-by-step explanation:
look at the number to the right of the decimal. if the number is higher than or is 5 round the number up, but if the number is less than 5 it will stay the same.
Answer: 77/95 chance
Step-by-step explanation: There are 8+7+6+5+4+3+2+1 = 36 choices that differ by 12 or more, so the probability they differ by 12 or more is 36/190 = 18/95. So the probability that they do not differ by 12 or more is 1 - 18/95 = 77/95. Brainliest please?
