Answer:
Step-by-step explanation:
Because vertical angles are always equal, we want to solve .
We can add 10 to both sides to get .
We can subtract from both sides to get
.
Lastly, we divide both sides by 20 to get .
So, and we're done!
The check is left as an exercise to the reader.
Answer:
The measure of the largest angle is 120°
Step-by-step explanation:
<em>Lets explain how to find the measure of an angle from the length of the </em>
<em>sides of the triangle</em>
- We can do that by using the cosine rule
- If the three angles of the triangle are A , B , C, then the side opposite
to angle A is BC , the side opposite to angle B is AC and the side
opposite to angle C is AB, So to find measure of angle A use the rule
<em>Lets solve the problem</em>
- Assume that the triangle is ABC where AB = 14 cm , BC = 10 cm and
AC = 6 cm
- We need to find the measure of the largest angle
- The largest angle is opposite to the longest side
∵ The longest side is AB
∴ The largest angle is C
By using the rule above
∴
∵ AB = 14 cm , BC = 10 cm , AC = 6 cm
∴
∴
∴
∴ cos(C) = -0.5 ⇒ that means angle C is obtuse angle
∴ m∠C =
* <em>The measure of the largest angle is 120°</em>
Answer: The correct option is (A). 3.
Step-by-step explanation: We are given to find the scale factor of dilation from ΔABC to ΔDEF.
As shown in the figure, the lengths of the sides of ΔABC to ΔDEF are
AB = 5 units, BC = 4 units, CA = 3 units,
DE = 15 units, EF = 12 units, FD = 9 units.
We know that the scale factor is given by
Therefore, the scale factor of dilation from from ΔABC to ΔDEF is
Thus, the required scale factor is 3.
Option (A) is correct.
