ANSWER
The smaller angle is

.EXPLANATION
Let the angles be

where y is the smaller angle.
Since they are supplementary, they will add up to 180°.
This implies that,

If one angle is 4 times the other, we can then write the following equation,

We put equation (2) into equation (1) to get,


We divide through by 5 to obtain,

This implies that,

Answer:
d. HL CBCTC
Step-by-step explanation:
The hypotenuse and one leg are congruent so the reason for congruency is HL.
Answer:
The probability distribution for x:"number of children per family for this income group" is:

Step-by-step explanation:
With the information given we have the relative frequencies of each category.
We know:

Answer:
Answer; Mean = p = 0.75
Standard deviation =0.0274
Step-by-step explanation:
Mean = p = 0.75
Standard deviation = √ [ p ( 1 - p) / n ]
= √ [ 0.75 * ( 1 - 0.75) / 250]
= 0.0274