Answer:
32 one-dollar bills.
Step-by-step explanation:
Let <em>x </em>represent one-dollar bills and <em>y </em>represent two-dollar bills.
He has a total of 49 bills. Therefore:
The total amount of money James has is 66. <em>x</em> is worth one dollar, while <em>y</em> is worth two dollars. Therefore:
We have a system of equations. Solve by substitution:
Therefore, James has 32 one-dollar bills and 17 two-dollar bills.
Checking:
Answer:
Step-by-step explanation:
The area of a regular polygon is calculated using the formula;
where is the apothem and p is the perimeter.
It was given that, the apothem is, and the perimeter is
We substitute into the formula to obtain;
To the nearest square inch, we have;
Answer:
m∠SRV = 48°
Step-by-step explanation:
In the parallelogram attached,
m∠TUV = 78°
m∠TVU = 54°
By applying the property of the angles of a triangle in ΔTVU,
m∠TUV + m∠TVU + m∠UTV = 180°
78° + 54° + m∠UTV = 180°
m∠UTV = 180° - 132°
= 48°
Sides RS and TU are the parallel sides of the parallelogram and diagonal TR is a transverse.
Therefore, ∠UTV ≅ ∠SRV [Alternate interior angles]
m∠UTV = m∠SRV = 48°
