Answer:
shown in explanation
Step-by-step explanation:
a) ∆EPB similar to ∆ERG
b) angle BEP = angle GER (common angle shared)
angle EPB = angle ERG (corresponding angles, PB//RG, parallelogram)
therefore through Angle-Angle similarity test, ∆EPB is similar to ∆ERG
or explanation can also be shortened to
∆EPB is similar to ∆ERG (AA, similarity)
c) since proven they are similar ∆, then we can proceed to use property of ratio of corresponding sides being equal
RG = 200+300=500m
cross multiply (from what I've learnt)
2ep+700=5ep
ep= 700/3 = 233 ⅓m (answer for length EP)
Do the same for length BE(using ratio of corresponding sides)
cross multiply again to get:
5BE = 2BE + 800
BE = 800/3 = 266 ⅔ m (answer for length BE)
Answer:
No it is a obtuse triangle
Step-by-step explanation:
Answer:
$8 ; 66 cents
Step-by-step explanation:
Given that:
Worth of penny, dimes and Nickel in cents and dollars
Nickel, n = 5 cents = $0.05
Dimes, d = 10 cent = $0.1
Penny, p = 1 cent = $0.01
Multiplying the number of each coin with its respective value ;
386(0.01) + 58(0.05) + 19(0.1)
$3.86 + $2.9 + $1.9
= $8.66
Changing it to dollar ,
$8.66 dollars = 8 dollars ;
$0.66 = 66 cents
Answer:
When the solution is negative
Step-by-step explanation:
One example, let's say you are buying pens and each pen cost 3 dollars and you cannot spend more than 15 dollars, how many pens can you buy?
The inequality would be 3x < 15, so any negative solution is not reasonable because you cannot buy negative pens. The same goes for most real-world problems dealing with time, money, or distance.
Answer:
f (3) is equal to 31
Step-by-step explanation:
f (3) means that x is equal to 3 [hence f (x) ---> f (3)]
Plugin 3 into all the x values to solve:
4(3)^2 - 2(3) + 1
4(9) - 6 + 1
36 - 6 + 1
30 + 1
31
f (3) is equal to 31