Answer:
<h2>Angle ADF is equal to 52° and angle FDC is equal to 38°.</h2>
Step-by-step explanation:
In the image attaches, you can observe that angles ADF and FDC are complementary angles, because they sum 90°.

And we know that

Replacing these expressions, we have

Then, we replace this value in each expression to find both angles measures.

Therefore, angle ADF is equal to 52° and angle FDC is equal to 38°.
Answer:
<em>(c) Rs. 1500</em>
Step-by-step explanation:
Percentages
It's given Kamal spent 40% of his income. With the remaining 60%, he deposited Rs. 400 in a bank and still has Rs. 500 left.
This means Rs. 400 + Rs. 500= Rs. 900 is 60% if his income.
The 100% of his income is calculated as a percent proportion:
If 60% is Rs. 900, then 100% is:

Thus, Kamal's income is Rs. 1500. Correct choice: (c) Rs. 1500
Answer:
p =
Step-by-step explanation:
q=
- r÷ t using BODMAS
q =
- (r/t)
q + r/t = 
p=
4x(3x + 8) - 7y(5x - 1) =
12x^2 + 32x - 35xy + 7y
Answer:
<h3>Part A</h3>
The graph is non-linear as it is not a continuous straight line (with only one slope).
<h3>Part B</h3>
<u>Increasing</u>: the y-value increases as the x-value increases
<u>Constant</u>: the y-value stays the same as the x-value changes
<u>Decreasing</u>: the y-value decreases as the x-value increases
Therefore,
- Increasing segment: Between 0 and 2 seconds
- Constant segment: Between 2 and 3 seconds
- Decreasing segment: Between 3 and 5 seconds
<h3>Part C</h3>
For the first 2 seconds, the ant moves 6 cm from a hole in the tree at a steady speed of 3 cm per second. For the next second, the ant is at rest then turns around. For the next 2 seconds, the ant moves 6 cm back to the hole at a steady speed of 3 cm per second. The ant then stops.