Given steps :
Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle)
Step 2: m∠p − m∠o = 90 degrees (alternate interior angles) : <em>It's incorrect step because m<p and m<0 are on a common point on a line and make a linear pair. Therefore, m<p and m<0 are supplementary angles.</em>
Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p.
Step 4: So, m∠m + m∠n = m∠p.
<h3>Therefore, student did mistake in 2nd step and correct step should be Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles).</h3>
I believe the answer would be c. $499.75. If you take (360.75-82.75)/(6-2) you get 278/4 which is dollars/hour, and that =69.5 so the rate of increase is $69.50 per hour, therefore if 6 hours produced $360.75 then you +$69.50•2(hours) and get $499.75
Answer:
Step-by-step explanation:
The area of a circle is A = πr², where r is the radius. That means in order to solve this we have to find the value of x, which is the diameter of the lake, and then divide it in half to get the radius. To find x we will use similar triangles and proportions. x is the height of the big triangle and 4.5 is the height of the smaller triangle; 15.3 + 7.4 is the hypotenuse of the big triangle and 7.4 is the hypotenuse of the smaller triangle. Setting up our proportion:
which simplifies a bit to
and cross multiply to solve for x:
7.4x = 102.15 so
x = 13.8 That is the diameter of the lake. Divide it in half to get 6.9, the radius. Applying the area formula for a circle:
A = (3.14)(6.9)² and
A = 3.14(47.61) so
A = 149.5 which rounds to 150, Choice C
Answer:
en que te ayudo
Step-by-step explanation:
TIENES TAREA
<u>Answer:</u>

<u>Step-by-step explanation:</u>
We know from the question that the student earned $12.50 <em>per hour</em>.
Using this information, we can say that if the student worked for <em>h </em>hours, they would make a total of 12.50 × <em>h </em>dollars.
We also know that the total money they earned is $2500.75.
∴ Therefore, we can set up the following equation:

From here, if we want to, we can find the number of hours worked by simply making <em>h</em> the subject of the equation and evaluating:
<em>h </em>=<em> </em>
= 200.6 hours