A total of 165 people attended the opening night of a school play. Adults were charged $6, and children were charged $2. The tot
2 answers:
Answer:
Step-by-step explanation:
A total of 165 people attended the opening night of a school play.
Let there were adults = x and number of children = y
So x + y = 165 ----------(1)
Now we know adults were charged $6 and children $2.
The total amount collected $618
so 6x + 2y = 618 ----------(2)
Now the augmented matrix for the system of equations will be
You might be interested in
When a quadrilateral is inscribed in a circle, the opposite angles are supplementary
The description of the angles in the quadrilaterals are:
- b. m∠M = 55°, m∠J = 48°, and m∠L = 132°
- d. m∠L = 40°, m∠M = 60°, and m∠K = 120°
- e. m∠K = 72°, m∠L = 44°, and m∠M = 108°
- f. m∠J = 105°, m∠K = 65°, and m∠L = 75°
The quadrilateral is given as: JKLM
The opposite angles are:
- Angles J and L
- Angles K and M
The opposite angles are supplementary
So, we have:
Next, we test the options
<u>Option (a)</u>
This is not true
<u>Option (b)</u>
This is true
<u>Option (c)</u>
This is not true
<u>Option (d)</u>
This is true
<u>Option (e)</u>
This is true
<u>Option (f)</u>
This true
Hence, the description of the angles in the quadrilaterals are (b), (d), (e) and (f)
Read more about inscribed quadrilaterals at: