Answer:2.19 monthd
Step-by-step explanation:
Cris borrowed money from her brother 6 months ago. She now owes him 56.50
Let x= original money borrowed from her brother 6 months ago
She has not borrowed and she is paying 15.75 on her debt each month for the last 6 months. This means in the past 6 months,she has paid 15.75×6= 94.5
She now owes him 56.50. This means original money,x-56.50 =94.5
x = 94.5+56.50=151
If she now increases her monthly payment to 25.75, let the number of months be y, she will pay 25.75y in y months
25.75y =56.50
y =2.19 months
8^14 is the answer.
This is because since they both have the same base, the exponents could be added together if the numbers are multiplied together
Answer:
64,890
Step-by-step explanation:
105×3 =315
103×2= 206
315×206= 64,890
Answer:
The expression that represents the length of 1 of the triangle's legs is y + 5
Step-by-step explanation:
An isosceles triangle has two sides equal which are the triangle legs. Let b represent the base of the triangle and l represent one of the triangle's legs. Then, the perimeter, P is given by
P = l + l + b
i.e P = 2l + b
From the question, P = 6y + 12 and b = 4y +2
∴ 6y + 12 = 2l + 4y + 2
6y - 4y + 12 - 2 = 2l
2y + 10 = 2l
∴ 2l = 2y + 10
Then,
l = (2y+10)/2
l = y + 5
Hence, the expression that represents the length of 1 of the triangle's legs is y + 5
Answer: (b) exactly one plane contains a given line and a point not on the line.
Step-by-step explanation: The basic postulates of geometry are very-well known to all of us. For example-
(i) The intersection of two lines determines a point,
(ii) Two parallel lines give result to a plane,
(iii) A line and a point not on the line determines a plane, etc...
Thus, with the help of the third point, we can easily arrive at the conclusion that a given line and a point not lying on the line is contained in a plane. For example- see the attached figure, AB is a line and P is any point not on the line. They both contained in the plane ABC.
Hence, the correct option is (b).
