Answer:
D. translation, yes
Step-by-step explanation:
A is out because the shapes are congruent, and if the figure was reflected, it would have been closer to the y-axis. It is the same with B, if the figure was dilated, the second figure would have been similar but not congruent. C is out because the figure is still facing the same direction.
Answer:
40 degrees and 45 degrees
Step-by-step explanation:
If you subtract 95 degrees from a 180-degree triangle, you are left with 85 degrees. To proportionally split them, find two values that add to the same value. Since 40 and 45 make up 80 and they multiply by two to make 80:90, these are the two measures.
$1,040 is how much you would have remaining at the end if that's what you are looking for.
The correct answer is A. <span>If I drink juice, then it is breakfast time.
If it is breakfast time, then I drink juice.
This answer is an if-and-only-if conditional statement.
The other options are not.</span>
Answer:
Q1. x= 18, y=59
Q2. m∠J= 56°
Step-by-step explanation:
Q1. (3x +5)°= y° (base ∠s of isos. △)
y= 3x +5 -----(1)
(3x +5)° +y° +(4x -10)°= 180° (∠ sum of △)
3x +5 +y +4x -10= 180
7x +y -5= 180
7x +y= 180 +5
7x +y= 185 -----(2)
Substitute (1) into (2):
7x +3x +5= 185
10x= 185 -5
10x= 180
x= 180 ÷10
x= 18
Substitute x= 18 into (1):
y= 3(18) +5
y= 59
Q2. (5x -13)°= (3x +17)° (base ∠s of isos. △)
5x -13= 3x +17
5x -3x= 17 +13
2x= 30
x= 30 ÷2
x= 15
∠LKJ
= 3(15) +17
= 62°
∠KLJ= 62° (base ∠s of isos. △)
m∠J
= 180° -62° -62° (∠ sum of △JKL)
= 56°
