Answer:
m∠ABD = 132 °
Step-by-step explanation:
m∠ABE = m∠DBE
and
m∠ABD = m∠ABE + m∠DBE
Because m∠ABE = 66°, therefore m∠DBE = 66°, so that
m∠ABD = 66° + 66° = 132°
6.5 goes in the first box and 5.5 goes in the second box.
Explanation for first box: 13+2 is 15 and half of 15 is 7.5 so you need to take 13 and subtract 7.5. Once you do that, you end up with 6.5
Explanation for second box: (The negative 7 doesn't matter because you want the absolute value) 18+7 is 25 and half of 25 is 12.5. 18-12.5 is 5.5 so the answer would be 5.5
Answer: s > 5
Step-by-step explanation:
-s² + 25s - 100 > 0
Coefficient of s² is -1, multiply the equation through by -1.
-1 × (-s² + 25s - 100)
s² — 25s + 100
ax² + bx + c
Then you get the factors x and y that gives x + y = b and xy = c
b = -25 and c = 100, x = -20 and y = -5
-20 × -5 = 100 and -20 + -5 = -25
Then
s² — 20s — 5s + 100 > 0
Factorising,
s (s — 20) — 5(s — 20) > 0
(s — 5)(s — 20) > 0
(s — 5) > 0 and (s — 20) > 0
s>5 and s>20
s > 5
Hope this Helps?
Remember the order of operations. The first step in this problem will be to solve the exponent.
Take (2x)^3. Remember that since there are parentheses around 2x, that means you have to cube 2 and x.
(2x)^3 = 2^3 * x^3 = 8x^3
Now multiply that answer by 4 to finish simplifying.
8x^3 * 4 = 32 x^3
Your answer should be: 32x^3
