Characters used: 1/15000 Part E
To decide whether two triangles are similar, is it enough to know that one pair of corresponding angle measures is equal? Use your observations
and your understanding of similarity transformations to explain your answer.
B
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A-A-
. Along with a pair of equal angles, two pairs of corresponding sides should also be equal. (SAS postulate).
• With the above 2 conditions, the triangles they form are similar.
• When the two sides of a triangle and their included angle are fixed, then the three vertices of that triangle are fixed.
I
Characters used: 293 / 15000

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

40% off the regular price is the correct answer.

step-by-step explanation:

no this is a nonlinear negative

step-by-step explanation:

there are 36 inches in a yard

25 : 36 = 0.69 yards (you can round to 0.70)