Hello!
I've attached a photo for reference.
Lines A and B form straight angles, which measure 180 degrees. That means that -
m∠x + m∠y = 180°
m∠y + m∠z = 180°
m∠z + 43° = 180°
43° + m∠x = 180°
Since you're trying to find z, use the solvable equation with z in it:
m∠z + 43° = 180°
180 = z + 43
137 = z
Answer:
m∠z = 137°
The similar circles P and Q can be made equal by dilation and translation
- The horizontal distance between the center of circles P and Q is 11.70 units
- The scale factor of dilation from circle P to Q is 2.5
<h3>The horizontal distance between their centers?</h3>
From the figure, we have the centers to be:
P = (-5,4)
Q = (6,8)
The distance is then calculated using:
d = √(x2 - x1)^2 + (y2 - y1)^2
So, we have:
d = √(6 + 5)^2 + (8 - 4)^2
Evaluate the sum
d = √137
Evaluate the root
d = 11.70
Hence, the horizontal distance between the center of circles P and Q is 11.70 units
<h3>The scale factor of dilation from circle P to Q</h3>
We have their radius to be:
P = 2
Q = 5
Divide the radius of Q by P to determine the scale factor (k)
k = Q/P
k = 5/2
k = 2.5
Hence, the scale factor of dilation from circle P to Q is 2.5
Read more about dilation at:
brainly.com/question/3457976
1.6 !!!!!!!!!! x=1.6 !!!!!
Answer:
2 cm per hour
Step-by-step explanation:
1 hour lines up with 2cm
2 hours line up with 4cm
3 hours line up with 6cm
Sum of 2 angles = 80°
Difference = 20°
If we take away 20° from the sum, both angles are equal
⇒80 - 20 = 60°
Divide by 2 to find the smaller angle:
60 ÷ 2 = 30
Add 20° to find the bigger angle:
20 + 30 = 50°
<u>One of the angle is 30° and the other angle is 50°</u>
Given that the sum of the two angles is 80°
⇒ Third angle = 180 - 80 = 100°
Answer: The 3 angles are 30° , 50° and 100°
