Evaluate 3x - 4y + 11 for x = -2 and y = -1
2 answers:
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Answer:
x = 50°
Step-by-step explanation:
Recall that for a triangle, the exterior angle is equal to the sum of its two remove interior angles (also see attached for reference).
in our case, the exterior angle is given as 105° and its two remote interior angles are x and 55°
therefore
105° = 55° + x
x = 105° - 55°
x = 50°
Answer:
B. A rectangle, 4 in by 3 in
Step-by-step explanation:
The foam has the shape of a cuboid with base of 10 in by 4 in and height of 3 in.
The foam has a front elevation of a rectangle with dimension of 4 in by 3 in. It has a left elevation of dimension 10 in by 3 in and a plan of dimension 10 in by 4 in.
If the foam is cut along the red line, the exposed face would be the same as the shape of the front elevation. Hence the shape of the cross section would be a rectangle with dimension of 4 in by 3 in.
ANSWER
Paul and Matt will take
to install the floor working together.
EXPLANATION
First, calculate Paul's rate, which is
Next, calculate Matt's rate, which is,
Let us assume that, Paul and Matt took
to do the work together.
Then, the rate of working together is,
Now, add the individual rates and equate to the rate of working together to form an equation that will help us solve for x.
Simplify the left hand side
We reciprocate both sides to get (You could have also done cross multiplication).
Paul and Matt will take
to install the floor working together.
EXPLANATION
First, calculate Paul's rate, which is
Next, calculate Matt's rate, which is,
Let us assume that, Paul and Matt took
to do the work together.
Then, the rate of working together is,
Now, add the individual rates and equate to the rate of working together to form an equation that will help us solve for x.
Simplify the left hand side
We reciprocate both sides to get (You could have also done cross multiplication).