Answer:
Answered
Step-by-step explanation:
Total amount of paint = 14 gallons
the paint was distributed equally among 4 classes
a. therefore each class would get gallons of paint
= gallons each
b.Three classes will use 3× paint of each class
= = 10(1/2) gallons
c. 4 student paint 30 square-foot wall the each student would paint
= 7(1/2) square-foot wall.
d. each student will paint of the wall since there are 4 students.
Answer:
The value of x is 56°
Step-by-step explanation:
Given that opposite angles in a cyclic quadrilateral is add up to 180°. So in order to find x, you have to write an expression in terms of x :
Next you have to solve it by substracting 124 to both sides :
Answer:
The cost of one month of game play is $12.
Step-by-step explanation:
We are given the following in the question:
Cost of software package = $30
Let y dollars be the cost of one month of game play.
Angie buys 1 software package and 2 months of game play.
Angie's cost =
Kenny buys 1 software package and 4 months of game play.
Kenny's cost =
Total cost = $132
Thus, we can write the equation:
Thus, the cost of one month of game play is $12.
A Quadrilateral A B C D in which Sides AB and DC are congruent and parallel.
The student has written the following explanation
Side AB is parallel to side DC so the alternate interior angles, angle ABD and angle BDC, are congruent. Side AB is equal to side DC and DB is the side common to triangles ABD and BCD. Therefore, the triangles ABD and CDB are congruent by SAS.
The student has also written
angles DBC and ADB are congruent and sides AD and BC are congruent. Angle DBC and angle ADB form a pair of alternate interior angles. Therefore, AD is congruent and parallel to BC. Quadrilateral ABCD is a parallelogram because its opposite sides are equal and parallel.
Postulate SAS completely describes the student's proof.
Because if in a quadrilateral one pair of opposite sides are equal and parallel then it is a parallelogram.
