Answer:
70 degrees
Step-by-step explanation:
The adjacent angles in a parallelogram are supplementary and add to 180 degrees
∠CDE+∠DEF=180
We know that ∠CDE is 110 degrees, so we can substitute that in
∠CDE+∠DEF=180
110+∠DEF=180
Subtract 110 from both sides
∠DEF= 70
So, ∠E is 70 degrees
Answer:

Step-by-step explanation:
The easiest way to solve this equation is to first find and highlight a common factor between two terms. In this case, x^2 can be factored to rewrite the equation as follows:

The (x+7) term can be crossed out on both sides and then for this equation to be true, there are two possibilities:
Either

or

Therefore, the solutions to this equation are -1, 1 or -7.
Answer:
(a) 6.01 (b) 57.33
Step-by-step explanation:
(a) DF² = 10² + 12² - 2 · 10 · 12 · cos(30°)
=> DF² = 244 - 240 · cos(30°)
=> DF² = 36.154
=> DF = √36.154
=> DF ≈ 6.01
(b)
=> sin (B) = sin (63) × 12.4 ÷ 12.8
=> B = sin^-1 (sin (63) × 12.4 ÷ 12.8)
=> B = 59.67355245
180 - 63 - 59.67355245 ≈ 57.33
Law of cosines & sines:

with "k" being the "constant of variation"
so. hmm in this case is "w" inversely varying to the square of the distance or d²
thus

solve for "k", to see what the constant of variation is
and plug it back in

now.. .to find her weight when she's 144miles above the surface, well
that's just

and since you already know what "k" is, just divide and simplify away, to get "w"
Answer:
Doing a challenge, sorry.
Step-by-step explanation:
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