Answer:
Your answer is 50 degrees.
Step-by-step explanation:
An isosceles triangles base angles are equal.
A triangle's angles add up to be 180 degrees.
65+65+x = 180
130+x = 180
x = 50
Answer:
6.2y - 3.7
Step-by-step explanation:
−y+5.3+7.2y−9
Subtract 9 from 5.3 to get −3.7.
−y−3.7+7.2y
Combine −y and 7.2y to get 6.2y.
6.2y−3.7
Answer:
Catherine's sister ate 2/15 gallons of the ice cream.
.
Step-by-step explanation:
Let
be the amount of ice cream that Catherine's sister ate, in gallons.
- Original amount: 1 gallon.
- What Catherine ate:
gallons. - What Catherine's sister ate is assumed to be
gallons.
- What's left:
gallons.
Consider the relationship:
.
That is:
.
Add
to both sides of this equation:

Substract
from both sides:
.
Convert the denominator of all three numbers on the left-hand side to 
.
.
In other words, Catherine's sister ate
gallons of the ice cream.
Answer:
2.88
Step-by-step explanation:
Data provided in the question
= Population standard deviation = 7 miles per hour
Random sample = n = 32 vehicles
Sample mean =
= 64 miles per hour
98% confidence level
Now based on the above information, the alpha is
= 1 - confidence level
= 1 - 0.98
= 0.02
For
= 0.01
= 2.326
Now the margin of error is


= 2.88
hence, the margin of error is 2.88
Answer:
The coordinates are
and
.
Step-by-step explanation:
First, we have to derive an expression for translation under the assumption that each point of XYZ experiments the same translation. Vectorially speaking, translation from X to X' is defined by:
(1)
Where
is the vector translation.
If we know that
and
, then the vector translation is:



Then, we determine the coordinates for Y' and Z':






The coordinates are
and
.