Answer:
2) d. 60°
3) a. AB
Step-by-step explanation:
<u>Question 2</u>
ΔABC and ΔCDA are <u>congruent</u> because:
- they are both <u>right triangles</u>
- they <u>share one side</u> (AC)
- their hypotenuse are <u>parallel</u> (marked by the arrows)
This means the corresponding side lengths and angles are equal.
Therefore,
∠CDA = ∠ABC
⇒ x = 60°
<u>Question 3</u>
The <u>hypotenuse</u> is the <u>longest side</u> of a <u>right triangle</u> - the side opposite the right angle (the right angle is shown as a small square).
Therefore, the hypotenuse of ΔABC is the line AB.
Answer:
9 and -45
Step-by-step explanation:
they are whole numbers and integers are positive/negative whole numbers
Answer:
y = -3x+2
Step-by-step explanation:
See attachment.
Find the slope:
Rise = (-4 - 5) = -9
Run = (2 - (-1)) = 3
Slope(Rise/Run) = -3
Find the y-intercept:
y = mx + b
y = -3x + b
5 = -3*(-1)+b [Use point (-1,5)
b = 2
====
y = -3x + 2
Answer: h = 137.4 metres
Step-by-step explanation:
Given that the length of the shadow of a pole on level ground increase 90m, that is, (x + 90)m will be the total length of the shadow. Also we are given that the angle of elevation of the sum changes from 58-38.
To calculate the height, we will employ trigonometry ratio. SohCahToa which are: tan 58 and tan 38.
Please find the attached files for the solution