Answer:
2 inches
Step-by-step explanation:
a - length times width
12 = 6x
x=2
Answer:
x = -8, x = -4
Step-by-step explanation:
Adding a number and its opposite gives a result of 0. That is, x+8 will be 0 when x = -8, because -8 +8 = 0.
Likewise, x+4 will be zero when x = -4, because -4 +4 = 0.
The values of x that make (x+8)(x+4) = 0 are -8 and -4.
Answer:
angle 1 and angle 3 are congruent
Step-by-step explanation:
Angles supplementary to the same angle are congruent. Here both angles 1 and 3 are supplementary to angle 2, so angles 1 and 3 are congruent.
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If you like, you can get there algebraically:
m∠1 + m∠2 = 180
m∠3 + m∠2 = 180
Subtract the second equation from the first:
(m∠1 + m∠2) - (m∠3 + m∠2) = (180) - (180)
m∠1 -m∠3 = 0 . . . . simplify
m∠1 = m∠3 . . . . . . add m∠3
When angle measures are the same, the angles are congruent.
∠1 ≅ ∠3
Probability would be low but could happen depending on how you rol the die. So it could happen but theres a really low chance of it happening.
Answer:
-4 is the mimumum of y=-3+cos(x+4)
Step-by-step explanation:
The minimum value of y=cos(x) is -1.
The minimum value of y=cos(x+4) is still -1; the +4 inside the cosine function only affected the horizontal shift.
The minimum value of y=-3+cos(x+4) is -3-1 which is -4. This brought the graph down 3 units so if the minimum was previously -1 and it got brought down 3 units then it's new minimum is -4.
