Answer:
8 hours
Step-by-step explanation:
In 2 hours, the clerical secretary can do 1/4 of the job. (The executive secretary does 3/4 of the job - or 3 times as much - in the same 2 hours.)
Since it takes the clerical secretary 2 hours to do 1/4 of the job, it will take them four times that to do it themselves. 2x4=8.
Let's solve this problem. We know the equation of <span>the height of the ball that is:
</span>
<span>
Where x represents </span><span>the horizontal distance in yards the ball has traveled in the air. We know that a distance is always positive, so we conclude that x must be greater or equal than 0, so:
</span>
<span>
The horizontal plane represents the zero of the function, given that there is no possibility for the ball to get negative values, then
is also positive. Finally, from the graph, the appropriate domain is:
</span>
<span>
</span><span>
</span>
<span>Blocks numbered 0 through 9 are placed in a box, and a block is randomly picked.=3/10
</span><span>The probability of picking an odd prime number is . The probability of picking a number greater than 0 that is also a perfect square is=3/10</span>
Answer:
the value of the 3 is 30
Step-by-step explanation:
the second digit to the left of a decimal is always tens column
Answer:
- 1. First blank: <u>∠ACB ≅ ∠E'C'D'</u>
- 2. Second blank: <u>translate point E' to point A</u>
Therefore, the answer is the third <em>option:∠ACB ≅ ∠E'C'D'; translate point D' to point B</em>
Explanation:
<u>1. First blank: ∠ACB ≅ ∠E'C'D'</u>
Since segment AC is perpendicular to segment BD (given) and the point C is their intersection point, when you reflect triangle ECD over the segment AC, you get:
- the image of segment CD will be the segment C'D'
- the segment C'D' overlaps the segment BC
- the angle ACB is the same angle E'C'D' (the right angle)
Hence: ∠ACB ≅ ∠E'C'D'
So far, you have established one pair of congruent angles.
<u>2. Second blank: translate point D' to point B</u>
You need to establish that other pair of angles are congruent.
Then, translate the triangle D'C'E' moving point D' to point B, which will show that angles ABC and E'D'C' are congruents.
Hence, you have proved a second pair of angles are congruent.
The AA (angle-angle) similarity postulate assures that two angles are similar if two pair of angles are congruent (because the third pair has to be congruent necessarily).
