Answer: Ro, 270 degrees
Step-by-step explanation:
When doing rotational transformation, you always rotate counter-clockwise. In this case, the triangle on the top right is the original figure, and the triangle on the bottom left is the image. You can pick any point on the original triangle and compare it to its corresponding point on the image to figure out how it has been transformed.
Answer:
<h2>x = 1/18</h2>
Step-by-step explanation:
-2/3x = -12
-2 = 3x × -12
-2 = -36x
2 = 36x
2/36 = x
1/18 = x
The value of x is 27°.
Solution:
Given
.
∠A = 3x – 10, ∠C = 45°, ∠D = 2x + 10
<em>If two triangles are congruent, then the angles are congruent.</em>
∠A = ∠E (Alternate interior angles)
∠C = ∠C (Reflexive property)
∠B = ∠D (Alternative interior angles)
⇒ ∠B = 2x + 10
<em>Sum of the interior angles of the triangle = 180°</em>
In ΔACB,
3x – 10 + 45° + 2x + 10 = 180°
5x + 45° = 180°
Subtract 45° on both sides of the equation.
5x = 135°
Divide by 5 on both sides of the equation.
x = 27°
The value of x is 27°.
Hello from MrBillDoesMath!
Answer:
15
Discussion:
Given: measure angle STQ = 7x + 55. But, as shown, STQ is a right angle so
7x + 55 = 90 => subtract 55 from each side
7x = 90 -55 = 35 => divide each side by 7
x = 35/7 = 5
Since RS = (x+1) + (2x-1) where x = 5.
RS = (5 + 1) + (2*5 -1)
= 6 + 9
= 15
I don't know what choice the answer is as your diagram only shows Choice A
Thank you,
MrB