Answer:
m∠ABE = 27°
Step-by-step explanation:
* To analyze the figure to address the query
- AC represents a line
- Ray BF crosses line AC at point B
- Ray BF is perpendicular to line AC
Thus, both ∠ABF and ∠CBF are classified as right angles
Which gives us ∠ABF = ∠CBF = 90°
- Rays BE and BD meet line AC at point B
Since m∠ABE is equal to m∠DBE, as indicated by the same symbol in the figure
It implies that BE acts as the angle bisector of angle ABD
Given that m∠EBF = 117°
Then m∠EBF = m∠ABE + m∠ABF
Where m∠ABF = 90°
So, 117° = m∠ABE + 90°
- By subtracting 90 from both sides
It follows that m∠ABE = 27°
The correct choice is option D. The given equations are:...[1]...[2] Multiply equation [1] by 5 on both sides; we have...[3]. By using the elimination method, we can add equations [2] and [3] to eliminate y and determine x, resulting in... Dividing both sides by 13 yields x = 3. Substituting x back into equation [1] results in 2(3) - y = -4, which simplifies to 6 - y = -4. After subtracting 6 from both sides, we find -y = -10. Dividing through by -1 gives y = 10. Hence, the solution is (3, 10). Consequently, a valid equation that can replace 3x + 5y = 59 in the original set while still yielding the same result is 13x = 39.
Response:1 and 2
Step-by-step Explanation:
Provided data
Volume required 
For the initial cylinder
For the second cylinder
For the third cylinder
For the fourth cylinder
Thus, cylinders 
and 
meet the requirement as they remain under 
An ANOVA test is the appropriate method. Step-by-step explanation: The ANOVA test, which assesses the means of more than two samples, will be applied here. Given that three different test groups were utilized, this statistical test will be necessary for determining if the means are the same. Note that this test merely informs us of the means' equality, not which mean surpasses the others; for that determination, three separate hypothesis tests would be required, comparing two means at a time.
