Answer:
Step-by-step explanation:
<u>Since ΔFHG ≅ QRC, the corresponding angles are congruent:</u>
- ∠F = ∠Q
- (2x + 10)° = (3x + 1)°
- 3x - 2x = (10 - 1)°
- x = 9°
<u>Then, the angle Q measures:</u>
Answer:
The directed number suggested is +3.
Step-by-step explanation:
A directed number is one that has either a positive or negative sign, so that it could be easily located on the number line. Thus, the sign shows the direction of the number. Examples are: -2, -1, +5, +6 etc.
From the given question, let the initial weight be represented by W, then:
I gained 3 pounds implies at that; 3 pounds was added to my initial weight. Thus, my present weight is my initial weight + 3 pounds.
i.e I gained 3 pounds ⇒ W + 3
So that the directed number suggested by the statement is +3.
Answer:
The area of an octagon whose perimeter is 120 cm is 1086.4 
Step-by-step explanation:
An octagon is a polygon with eight sides. If the lengths of all the sides and the measurement of all the angles are equal, the octagon is called a regular octagon.
There is a predefined set of formulas for the calculation of perimeter, and area of a regular octagon.
The perimeter of an Octagon is given by

and the area of an Octagon is given by

We know that the perimeter is 120 cm, solving for side length (a) in the perimeter formula we get

Now, we calculate the area

Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
First term = 13
Increase each time = 20
Number of clients = 25
So, it forms an arithmetic progression:
So, 25 th term would be

Hence, list would look like 13,33,............493.
Therefore, Option 'D' is correct.
6√3
Step-by-step explanation:
6 is x. side across from right angle (12) is 2x. so 6x2 to get 12. missing side is x√3. so 6√3