Answer:
Angle 3 is 49 degrees
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Explanation:
Angle 1 is 50 degrees and angle 2 is 48 degrees. Added up, they total to 98 degrees. This is angle DEF.
Angle DEF is congruent to angle ABC because they are alternate exterior angles and because lines m and n are parallel
We are told that angle ABC is bisected (aka cut in half) because of line s; which means that the angles labeled "4" and "5" are exactly half that of angle ABC = 98 degrees
Therefore, angle 4 is 98/2 = 49 degrees and so is angle 3 (due to angles 3 and 4 being vertical angles; angle 3 = angle 4)
Answer:
I just learned this topic and have the same question, so I'm not sure if this right. However, I see a fellow student struggling and have to at least put in what I know. My equation was f(n) = 64(1/2)^n-1, then the question was write an expression to represent f(20).
Step-by-step explanation:
So, my answer was f(20) = 64(1/2)^19
f(20) is the number you plug into n. And because the exponent is n-1, I knew to subtract 1 from 20 to get 19.
Then I just wrote the equation out like the original expect with the numbers pluged in: f(20) = 64(1/2)^19
I hope this helps!
Answer:
x = - 3 or x = 7
Step-by-step explanation:
Given
f(x) = x² - 4x + 6
If f(x) = 27, then equating gives
x² - 4x + 6 = 27 ( subtract 27 from both sides )
x² - 4x - 21 = 0 ← in standard form
Consider the factors of the constant term ( - 21) which sum to give the coefficient of the x- term ( - 4)
The factors are - 7 and + 3, since
- 7 × 3 = - 21 and - 7 + 3 = - 4, hence
(x - 7)(x + 3) = 0
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 7 = 0 ⇒ x = 7
You need to provide the number of cups for each type of juice. Unless they didn't provide it? Is the question above the exact question?
