Answer:
x = 1, y = 46
Step-by-step explanation:
Since the triangles are congruent then corresponding sides and angles are congruent, then
DE = AB , that is
3x + 6 = 9 ( subtract 6 from both sides )
3x = 3 ( divide both sides by 3 )
x = 1
and
∠ C = ∠ F
10x + y = 56 ( substitute x = 1 )
10(1) + y = 56
10 + y = 56 ( subtract 10 from both sides )
y = 46
Answer x=6
(x-6)^2=0 using a^2-2ab+b^2=(a-b)^2, factor the expression
x-6=0 the only was an exponetiation can be 0 is when the base equals 0
move the constant to the right hand side and change its sign
ANSWER X=6
10 small boxes and 11 large boxes were shipped.
Step-by-step explanation:
Given,
Total boxes shipped = 21
Total volume of shipped boxes = 342 cubic feet
Volume of each small box = 10 cubic feet
Volume of each large box = 22 cubic feet
Let,
Number of small boxes = x
Number of large boxes = y
According to given statement;
x+y=21 Eqn 1
10x+22y=342 Eqn 2
Multiplying Eqn 1 by 10

Subtracting Eqn 3 from Eqn 2

Dividing both sides by 12

Putting y=11 in Eqn 1

10 small boxes and 11 large boxes were shipped.
Keywords: linear equation, subtraction
Learn more about linear equations at:
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Part A. What is the slope of a line that is perpendicular to a line whose equation is −2y=3x+7?
Rewrite the equation −2y=3x+7 in the form
Here the slope of the given line is
If
is the slope of perpendicular line, then

Answer 1: 
Part B. The slope of the line y=−2x+3 is -2. Since
then lines from part A are not parallel to line a.
Since
both lines are not perpendicular to line a.
Answer 2: Neither parallel nor perpendicular to line a
Part C. The line parallel to the line 2x+5y=10 has the equation 2x+5y=b. This line passes through the point (5,-4), then
2·5+5·(-4)=b,
10-20=b,
b=-10.
Answer 3: 2x+5y=-10.
Part D. The slope of the line
is
Then the slope of perpendicular line is -4 and the equation of the perpendicular line is y=-4x+b. This line passes through the point (2,7), then
7=-4·2+b,
b=7+8,
b=15.
Answer 4: y=-4x+15.
Part E. Consider vectors
These vectors are collinear, then

Answer 5: 