Answer:
$85
Step-by-step explanation:
To find the answer, we need to divide 1,615 by 19, since it says he earned 19 times the amount last year.
1,615/19=85
He only earned 85 dollars last year.
Hope this helps!
<u>A cross section parallel to the base is a square measuring 4 cm by 4 cm
</u>
<u>Step-by-step explanation:</u>
Here we have to select the correct statement regarding a cross section of the cube :
<u>A cross section parallel to the base is a square measuring 4 cm by 4 cm
:</u>
Since , every side of a cube is same . Any cross section of a cube must be parallel to a square base . Hence, correct statement .
<u>A cross section parallel to the base is a rectangle measuring 4 cm by greater than 4 cm
:</u>
Since , every side of a cube is same . Any cross section of a cube must be parallel to a square base . Here, base is rectangle . We don't have a rectangle base in cube . Not correct statement.
<u>A cross section perpendicular to the base through the midpoints of opposite sides is a rectangle measuring 2 cm by 4 cm:</u>
Since , every side of a cube is same . Any cross section of a cube must be parallel to a square base . Here, base should be square not rectangle . So , Not correct statement.
Answer:
Step-by-step explanation:
Answer:
3 groups
Step-by-step explanation:
Sopranos = 12
Altos = 9
Find the highest common factor of 12 and 9
12 = 1, 2, 3, 4, 6, 12
9 = 1, 3, 9
The highest common factor of 12 and 9 is 3
Therefore, the choir teacher can only have 3 groups
12 sopranos / 3 groups
= 4 sopranos per group
9 Altos / 3 groups
= 3 altos per group
Each of the 3 groups Will have 4 sopranos and 3 altos each
Answer:
15°
Step-by-step explanation:
A regular polygon is a polygon in which all the sides and angles of the polygon are equal to each other.
A regular 12-sided polygon is a polygon with 12 equal sides and angles.
The sum of interior angles of a polygon is given as:
sum = (2n - 4)90; where n is the number of sides of the polygon
For a 12 sided polygon:
Sum of interior angles = (2 * 12 - 4)90 = (24 - 4)90 = 20 * 90 = 1800°
Therefore since all the angles are equal, each angle = 1800° / 12 = 150°
Therefore in the question, ∠PQR = 150° (angle of a 12 sided polygon), ∠PRQ = ∠QPR = x
Therefore in triangle PQR:
∠PQR + ∠PRQ + ∠QPR = 180°
150 + x + x = 180
150 + 2x = 180
2x = 30
x = 15°
∠PRQ = 15°