Answer:
a) 7 numbers in term of n = n+1, n+2, n+3, n+4, n+5, n+6 and n+7
b) n+1+n+2+n+3+n+4+n+5+n+6+ n+7
= 7n+28
Step-by-step explanation:
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19.2 * 10⁸ minutes.
60 minutes = 1 hour.
19.2 * 10⁸ minutes = (19.2 * 10⁸) / 60 hour
= 32 000 000 = 3.2 * 10⁷ hours
= <span>D. 3.200 × 10^7 h</span>
Answer:
m∠DEF = 50
Step-by-step explanation:
∠DEG = ∠GEF
3y + 4 = 5y - 10
subtract 4 from both sides
3y = 5y - 14
subtract 5y from both sides
-2y = -14
divide by -2
y = 7
Add 7 into the equations:
3y + 4 + 5y - 10
3(7) + 4 + 5(7) - 10
21 + 4 + 35 - 10
25 + 25
50
Answer:
Shorter leg = 2.5 ft.
Longer leg = 6.5 ft.
Step-by-step explanation:
a^2 + b^2 = c^2
Because the hypotenuse = 7 ft, a^2 + b^2 = 49
To represent the two legs, we can use x and x+4.
x^2 + (x+4)^2 = 49
Simplifying this equation using FOIL gives us 2x^2 + 8x - 33 = 0.
Then, using the quadratic formula, we find that x = 2.5.
Thus, the shorter leg is 2.5 ft. and, when 4 is added, the longer leg is 6.5 ft.
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