We can bring the ratios to a similar form, because 2:5 is the same as 4:10 (we can mupltiply rations by the same number)
so one ratio is 4:10 and the other is 4:15 and the difference is is 75 beads
in this ratio, we can see each number corresponding to a "unit" of beads: that means that what changed is that Patricia now has 5 more such groups (15-10=5), and since she has 75 beads more each unit must be 75/5=15.
so afterwards (and before) Karen had 4 such units, that is 60, and Patricia before had 10 such units, that is 150.
Answer:
11° is the measure of the exterior angles
Step-by-step explanation:
Theorem: Alternate exterior angles are congruent when two parallel lines cut by a transversal.
First we solve for x using the theorem
6x + 5 = 7x + 4
x = 1
Substitute x = 1 into 6x + 5
6(1) + 5 = 6 + 5 = 11°
Answer is 22.25, hope this helps!!
Answer:
Monthly payment = $18325.6
Step-by-step explanation:
From the question,
P = 14000
t = 4 years
R = 6.75%
To calculate the monthly payment for this loan, let's use the below formula
Amount = P( 1 + 6.75%/12)^4×12
Amount = 14000(1.005625)^48
Amount = 18325.633 dollars
Monthly payment = $18325.6
