Answer: $6000
Step-by-step explanation:
Multiply the cost of the book by the decimal equivalent of 12% (25 x .12). this equal 3 dollars per book. 2,000 copies of the book were sold, so you would multiply 2000 by 3. 2000 x 3 = 6000
Answer:
1.) Triangle ABC is congruent to Triangle CDA because of the SAS theorem
2.) Triangle JHG is congruent to Triangle LKH because of the SSS theorem
Step-by-step explanation:
Alright. Let's start with the 1st figure. How do we prove that triangles ABC and CDA (they are named properly) are congruent? First, we can see that segments BC and AD have congruent markings, so that can help us. We also see a parallel marking for those segments as well, meaning that the diagonal AC is also a transversal for those parallel segments. That means we can say that angle CAD is congruent to angle ACB because of the alternate interior angles theorem. Then, the 2 triangles also share the side AC (reflexive property).
So, we have 2 congruent sides and 1 congruent angle for each triangle. And in the way they are listed, this makes the triangles congruent by the SAS theorem since the angle is adjacent to the 2 sides that are congruent.
The second figure is way easier. As you can clearly see by the congruent markings on the diagram, all the sides on one triangle are congruent to the other. So, since there are 3 sides congruent, we can say the triangles JHG and LKH are congruent by the SSS theorem.
Answer:
$25.5
Step-by-step explanation:
Sure, so the total of the
Item:
30 Dollars ($)
and the discount price is
15 percent (%)
So 30 times 0.15 because 30 is the price in total and 0.15 is the percentage but in a decimal form.
30 times 0.15 equals 4.5
4.5 is the amount that 15 % equals.
30 minus (-) 4.5 because once again the total is 30 and since we have a discount price then we minus (-) the discount price by the total and you get
A total with the discount price as 25.5 Dollars or $25.5
Hope this helps ;)
<h3>
Answer: (4,2)</h3>
==============================================================
Explanation:
C is at (0,0). Ignore the other points.
Reflecting over y = 1 lands the point on (0,2) because we move 1 unit up to arrive at the line of reflection, and then we keep going one more unit (same direction) to complete the full reflection transformation. I'll call this point P.
Then we reflect point P over the line x = 2 to arrive at the location Q = (4,2). Note how we moved 2 units to the right to get to the line of reflection, and then keep moving the same direction 2 more units, then we have applied the operation of "reflect over the line x = 2"
So we have started at C = (0,0), moved to P = (0,2) and then finally arrived at the destination Q = (4,2). This is the location of C' as well.
All of this is shown in the diagram below.
