Answer:
the slope is 1
Step-by-step explanation:
If you buy ' N ' of each item, then you'll pay 3.99N for brushes,
21.79N for cans of paint, and 6.89N for rollers.
The question assures us that you bought the same number of
each item. So your total bill at the hardware store checkout is
3.99N + 21.79N + 6.89N
= N (3.99 + 21.79 + 6.89)
= 32.67 N .
Answer:
Yes, we can conclude that Triangle ABC is similar to triangle DEF because the measures of the 3 angles of both triangles are congruent.
Step-by-step explanation:
We have the measure of 2 angles from both triangles, and we know that triangles have 180°, so we can solve for the measure of the third angle for both triangles.
Triangle ABC:
Measure of angle A= 60°
Measure of angle C= 40°
Measure of angle B = 180°- (measure of angle A + measure of angle C) = 180° - (60° + 40°) = 80°
Triangle DEF
Measure of angle E= 80°
Measure of angle F= 40°
Measure of angle D= 180° - (measure of angle E + measure of angle F) = 180° - (80° + 40°) = 60°
The measures of the angles in Triangle ABC are: 60°, 40°, and 80°.
The measures of the angles in Triangle DEF are: 60°, 40°, and 80°.
Since the measure of 3 angles of the two triangles are the same, we know that the two triangles are similar.
Answer:
Profit % = 39%
Step-by-step explanation:
Cost price of the article = 9
Price for repairing = 4
Therefore, Total cost of the article = 9 + 4 = 13
Selling price of the article = 18
Profit = 18 - 13 = 5
Hence,
![Profit \% = \frac{Profit}{Cost \ price} \times 100\\\\](https://tex.z-dn.net/?f=Profit%20%5C%25%20%3D%20%5Cfrac%7BProfit%7D%7BCost%20%5C%20price%7D%20%5Ctimes%20100%5C%5C%5C%5C)
![= \frac{5}{13} \times 100\\\\=38.46 \%\\\\=38.5 \%](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B5%7D%7B13%7D%20%5Ctimes%20100%5C%5C%5C%5C%3D38.46%20%5C%25%5C%5C%5C%5C%3D38.5%20%5C%25)
Profit percent (to the nearest %) = 39%