The sum of the measures of the angles of a triangle is 180 degrees.
An isosceles triangle has two congruent sides.
The angles opposite the congruent sides are congruent.
Just like the bottom left angle measures x, the bottom right angle also measures x.
x + x + 38 = 180
2x + 38 = 180
2x = 142
x = 71
The given equation is:
ax + by = 12
We are given that the two points (6,0) and (3,2) belong to this line. This means that these two points satisfy the equation of the line.
Therefore, to get the value of a and b, we will substitute with the given points in the equation and solve the resulting equations for a and b as follows:
For the point (6,0):
ax + by = 12
a(6) + b(0) = 12
6a = 12
a = 12/6 = 2
For point (3,2):
ax + by = 12
(2)(3) + b(2) = 12
6 + 2b = 12
2b = 12-6 = 6
b = 3
Based on the above calculations:
a = 2 and b = 3, therefore, the equation is:
2x + 3y = 12
Is this the original question or?
Find the unit rate. He drove 168 miles in 4 hours.
168/4= 42
He drives 42 Mph.
Multiply that by 7.
42*7= 294
He drives 294 in 7 hours.
I hope this helps!
~kaikers
Given:
Terri plans to charge a base fee of $10 plus $7 per hour for babysitting.
To find:
The function that could be used to represent her total charge for the babysitting service, y, as a function of the number of hours she babysits, x.
Solution:
Let y be the total charge for the babysitting service for x hours.
Base fee = $10
Additional fee for one hour = $7
Additional fee for x hour = $7x
Total fee = Base fee + Additional fee for x hours
Therefore, the equation of required function is .
