Answer in the photo.......
m∠E = 32, the first option.
If ∠F = 116 and all angles in a triangle must equal 180, then the other angles must add up to 64.
This rules out the third and fourth options. Logic then says that it can't be equal to 58. That wouldn't make sense. Also 64/2 = 32.
Consecutive integers are 1 apart
they are
x,x+1,x+2
the sum of their squares is 194
x²+(x+1)²+(x+2)²=194
expand
x²+x²+2x+1+x²+4x+4=194
x²+x²+x²+2x+4x+1+4=194
3x²+6x+5=194
minus 5 from both sides
3x²+6x=189
3(x²+2x)=189
divide both sides by 3
x²+2x=63
minus 63 from bot sides
x²+2x-63=0
what 2 numbers multiply to get -63 and add to get 2
-7 and 9
(x-7)(x+9)=0
set each to zero
x-7=0
x=7
x+9=0
x=-9
for x=7
x+1=8
x+2=9
for x=-9
x+1=-8
x+2=-7
the integers are 7,8,9 or -9,-8,-7
Answer:
Return of investment = 44.5%
Step-by-step explanation:
Number of shares purchased by Tamara = 1500
Offer price per share = 7. 08
Total amount spent on purchasing shares = 1500 × 7.08 = 10620
Dividend receive per share = 0.21
Total dividend received on 1500 shares = no. of shares × dividend received per share
Total dividend received = 1500 × 0.21 = 315
Selling price per share = 10.02
Amount received by Tamara by selling the investment = no. of shares × selling price per share
Amount received by Tamara by selling the investment
= 1500 × 10.02
= 15030
Now, Net profit received on investment = S.P of Investment + Dividend received - C.P of investment
Net profit = 15030 + 315 - 10620 = 15345 - 10620 = 4725
Return on investment = 
=
≈ 44.5 %
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