Answer:
Since, the sides are proportional. Therefore, the two triangles are similar.
Step-by-step explanation:
Since:
and
also,
i.e., The sides are proportional.
Therefore, the two triangles are similar.
<u><em>Answer:</em></u>
Her hourly rate is $8.25
<u><em>Explanation:</em></u>
Tatianna works 3 hours a day on school days and makes a total of $123.75 in a week
<u>We know that:</u>
There are 5 school days in a week
<u>We are given that:</u>
She works for 3 hours a day each of those days
<u>Therefore:</u>
Total number of hours worked = hours worked daily * number of days
Total number of hours worked = 3 * 5 = 15 hours in a week
<u>The equation used to calculate Tatianna's earnings is:</u>
Amount she makes in a week = Total number of hours worked * hourly rate
<u>Now, we substitute with the givens to get the hourly rate as follows:</u>
Amount she makes in a week = Total number of hours worked * hourly rate
123.75 = 15 * hourly rate
Hourly rate = $8.25
Answer:
A cube root
Step-by-step explanation:
<em>For</em><em> </em><em>example</em><em> </em><em>:</em><em> </em><em> </em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>2</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>cube</em><em> </em><em>root</em><em> </em><em>of</em><em> </em><em>8</em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em>
9514 1404 393
Answer:
- B
- B
- a) f(3y-1) = 24y -17; b) f(-7/4) = -23
Step-by-step explanation:
1. Any mapping requiring segment lengths to be congruent will require a "rigid" transformation, some combination of rotation, reflection, and translation.
If the transformation is not one of those, then segment lengths may change. The transformation we usually study that is not a rigid transformation is <em>dilation</em>. It preserves angles and slopes, but not segment lengths.
Of the choices listed, only choice B does not involve congruent segments.
__
2. In line with the discussion above, the dilation will preserve the slope of KM so that it is the same as the slope of K'M'. This is described by choice B.
__
3.
a) Finish simplifying the equation already written.
f(3y -1) = 8(3y -1) -9 = 24y -8 -9
f(3y -1) = 24y -17
b) f(x) = -23
8x -9 = -23
8x = -14 . . . . . . add 9
x = -14/8 = -7/4 . . . . divide by 8, reduce the fraction
x = -7/4 = -1.75
Answer:
C.
Step-by-step explanation:
Hi there!
To find the answer to this, plug the number values in for n and then solve.
For the answer to be correct, the sum has to be less than 26.
Answers B and D both have numbers that would be equal to 26, so they aren’t right.
Answer A has numbers that would go over 26.
Every number in C can be added to 15 and the sum would be less than 26.
I hope this helps!
