Answer:
Step-by-step explanation:
height = 14tan(24°)
area = 0.5(base)(height)
Find the angle that triples the height.
tanθ = 3×14tan(24°)
θ = arctan(3×14tan(24°)) ≅ 53.2°
Answer:
B) y=12x
Step-by-step explanation:
We are given with the coordinates 
Where 
represents the number of days.
represents the number of likes she got.
To model the equation using Kyle's data we find the slope using the given coordinate.
Let us say 
and 
Slope 
formula , 
Plug in the above points now, we get
Now we use the point-slope formula, 
Plugging the corresponding values.
Thus option is B is the correct answer.
Answer:
Show ΔBCD ≅ ΔGFE, so ∠C ≅ ∠F. Base angle of an isosceles triangle are congruent, so ΔACF is isosceles.
Step-by-step explanation:
Informally, subtract DE from CE and DF. This will show CD ≅ EF.
Then ΔBCD ≅ ΔGFE by the HL theorem for right triangles.
Corresponding parts of congruent triangles are congruent, namely the angles C and F.
Since base angles of ΔACF are congruent, it is isosceles.
<u>Answers</u>
1. Minimum = 4
2. First quartile = 6.5
3. Median = 13.5
4. Third quartile = 19
5. Maximum = 20
<u>Explanation</u>
To calculate the measure of central tendency, you first arrange the set of the data in ascending order.
The set of data given will be;
4, 4, 9, 9, 18, 18, 20, 20.
Part 1:
The minimum value of the data is 4.
Part 2:
The first quatile is the median of the lower half which is comprised by:
4, 4, 9, 9
1st quartile = (4+9)÷2
= 13÷2
= 6.5
Part 3:
Median of the data is;
Median = (9+18)÷2
=27÷2
= 13.5
Part 4:
3rd quartile is the median of the upper half which comprises of;
18, 18, 20, 20.
3rd quartile = (18+20)÷2
= 48÷2
= 19
Part 5
The maximum of the set of data is 20.
B. a parallelogram with four congruent sides
