Answer:
x = 25
Step-by-step explanation:
The two angles form a straight line which is 180 degrees
2x+10 + 4x+20 = 180
Combine like terms
6x+30 = 180
Subtract 30 from each side
6x+30-30 = 180-30
6x = 150
Divide by 6
6x/6 = 150/6
x=25
Answer:
<h3>1. SAS</h3><h3>2. SSS</h3><h3>3. AAS</h3><h3>4. AAS</h3><h3>5. AAS</h3><h3>6. HL</h3><h3>7. SAS</h3><h3>8. SAS</h3><h3>9. SSS</h3>
Answer:
(5√2-1)^2= (5x1)^2=25
Step-by-step explanation:
I believe 25 is the correct answer because you simplify the parentheses first, then we raise to the second power so 5 times sqrt 1 is 5. Then 5 x 5 is 25.
Comment below if this helps, Thanks!
<h3>
Answer: D. y = -x</h3>
======================================================
Explanation:
Point T is at (-2,1)
When we reflect it over the line x = 0, aka the y axis, we use the rule 
so T(-2,1) becomes T ' (2, 1). The x coordinate flipped in sign, while the y coordinate stays the same.
Then the final transformation is reflecting over y = -x using the rule 
. Therefore, the point (2,1) moves to (-1, -2) which is where T'' is located in the diagram.
You apply the same two transformations for the points R and S to get R'' and S'' respectively.
Note: A composition of two reflections, where the lines of reflection aren't parallel, form a rotation. In this case, we have a 90 degree counterclockwise rotation when going from triangle RST to triangle R''S''T''.
Answer:
Aditya evaluates the numerator of the expression when x = –1. He finds the remainder of the division to be –1
Step-by-step explanation:
– 12x¹⁷+ 3x⁵ – 9x² – 1 / x + 1
To obtain the answer to question, let us apply the remainder theorem. This is illustrated below:
Assume:
x + 1 = 0
Subtract 1 from both side
x + 1 – 1 = 0 – 1
x = – 1
Next, we shall substitute the value of x into – 12x¹⁷+ 3x⁵ – 9x² – 1. This is illustrated below:
– 12x¹⁷+ 3x⁵ – 9x² – 1
x = – 1
– 12(–1)¹⁷+ 3(–1)⁵ – 9(–1)² – 1
– 12(–1) + 3(–1) – 9(1) – 1
12 – 3 – 9 – 1
= –1
Thus, using the remainder theorem,
– 12x¹⁷+ 3x⁵ – 9x² – 1 / x + 1 will result to –1
