Answer:
x = 4, ∠I = 33°
Step-by-step explanation:
<u>Question 1</u>
Converse to Base Angles Theorem: 28 = 9x - 8,
28 = 9x - 8 (add 8 to both sides)
9x = 36 (divide both sides by 9)
x = 4
<u>Question 2</u>
Since the triangles are congruent, ∠A ≅ ∠G:
∠A = 55 = ∠G
If we consider triangle ALX we have ∠L = 180-55-92 = 33°
And since ∠L ≅ ∠I, ∠I = 33° respectively
Given:
amount borrowed $6,100
interest rate 6% - assuming annual interest rate
term - 290 days of a 365 day year.
This is a simple interest computation.
Interest = Principal * interest rate * term
Interest = 6,100 * 6% * 290/365
Interest = 290.79
Total payment at the end of the 290 term would be $6,390.79.
Principal + interest → 6,100 + 290.79 = 6,390.79
Answer:
9.86 inches
Step-by-step explanation:
Given:
The cup will be a right circular cone with:-
Radius, r = 3 inches
Volume of cone = 93 cubic inches
Height of the cup, h = ?
Solution:
<u>By using :-</u>
<u />
By dividing both sides by 9.43
Thus, the cup need to be 9.86 inches taller to hold 93 cubic inches of water.
Answer:1. Dependent
2.Qualitative Variable
Step-by-step explanation:
Step 1--- Dependent
Reason-- The researcher considers a couple as a whole and The sampling is dependent because a spouce selected for one sample dictates or determines which individual to be in the second sample.
Step 2----Qualitative variable
Reason--- it classifies the individual spouce mental health based on mental health inventory of the couple
Because Qualitative variables are variables which can be placed according to characteristic or attribute, here the characteristics is mental health.
Answer:
- y = 50·3^x
- (2, 450), (3, 1350), (4, 4050), (5, 12150)
Step-by-step explanation:
The problem statement tells you each observed count is 3 times the last one.
__
Expressed as an exponential function with an initial value of 50 and a growth factor of 3, the formula is ...
y = (initial value)×(growth factor)^x
y = 50·3^x
