Answer: translated according to the rule <span>(x, y) →(x + 8, y + 2) and reflected across the x-axis
Reasoning:
</span>1) The translation options are x + 8 or x + 2 and y + 2 or y + 8.
That means that the points are translated to the right and upward.
2) Then, you need to rotate the figure over the x-axis to translate it to the fourth quadrant.
To find the answer you can choose just one point to verify the rule.
3) Using the point D (-2,2) which is translated to D' (6, - 4) and knowing that the rotation over the x-axis keeps the x-coordinate unchanged while the y-coordinate is transformed into its negative, you can conclude that
3a) first the point was translated 8 units to the right and two units upward this is to a poin with x-coordinate -2 + 8 = 6 and y-coordinate 2 + 2 = 4
3b) second the point was reflected over the x -axis keeping the same x-coordinate x = 6 and transforming the y-coordinate into y = - 4.
So, the rule has been discovered: (x, y) →(x + 8, y + 2) and reflected across the x-axis
Answer:
It’ll cost her $75
Step-by-step explanation:
15*3=45. Each shirt is $15. If she buys 5, 5*15=75.
Answer:
∠M=85 the shortest side is segment LM
Step-by-step explanation:
To figure out ∠m you need to add all of the angles together and make them equal 180.
(2x+5)+(3x+10)+(x+15)=180 Set the angles up to 180
6x+30=180 Combind like terms
6x=150 Subtract 30 from both sides
x=25 Divide by 6
Now you take x and plug it into ∠M
3x+10 The equation for angle M
3(25)+10 Add x into the equation
75+10 Multiply 3 by 25
85 Add 10
85=∠M
This is angle M. Now you have to do this for the rest of the of the angles.
2x+5 The equation for angle L
2(25)+ 5 Add x into the equation
50+5 Multiply 2 by 25
55 Add 5
55=∠L
x+15 The equation for angle N
(25)+15 Add x into the equation
25+15 Add 15
40
40=∠N
-3x+6 is equal to -18. because -3 times +6 or positive 6 equals -18 since a negative times a positive equals a negative
