Answer:
the center is (-2,2) and the radius is 5
Answer:
m∠DRM = 45°
Step-by-step explanation:
∵ PSTR is a parallelogram
∴ TS // RP ⇒ opposite sides
∴ m∠T + m∠R = 180° ⇒ (1) (interior supplementary angles)
∵ m∠T : m∠R = 1 : 3
∴ m∠R = 3 m∠T ⇒ (2)
- Substitute (2) in (1)
∴ m∠T + 3 m∠T = 180
∴ 4 m∠T = 180
∴ m∠T = 180 ÷ 4 = 45°
∴ m∠R = 3 × 45 = 135°
∵ m∠R = m∠S ⇒ opposite angles in a parallelogram
∴ m∠S = 135°
∵ RD ⊥ PS
∴ m∠RDS = 90°
∵ RM ⊥ ST
∴ m∠RMS = 90°
- In quadrilateral RMSD
∵ m∠S = 135°
∵ m∠RDS = 90°
∵ m∠RMS = 90°
∵ The sum of measure of the angles of RMSD = 360°
∴ m∠DRM = 360 - ( 135 + 90 + 90) = 45°
Answer:
I'm not sure the answer but I can tell you how to solve.
Step-by-step explanation:
Identify your initial angle. For this example, we’ll use 440° 2. The angle is larger than a full angle of 360°, so you need to subtract the total angle until it’s small. 440° - 360° = 80° 3.
We are given the endpoints. We are also given the endpoints after the transformation. For the first item, a simple distance formula verification would reveal that the distance between AB and A'B' is not equal. So, a dilation must have been done. Next, AB and A'B' are not parallel which means that a translation transformation must have been done.
After a dilation of 4/5 with A as the center, A' is still (0,0) and B' is (6 - 24/5, 8 - 32/5).
Okay what we need to do first is add the whole numbers.
1 1/3 and 2 1/4 and the whole numbers are 1 and 2.
1+2 is 3.
Now to add 1/3 and 1/4, but something is wrong. We need the denominator to be the same.
So we need to find the same denominator.
We need to multiply the denominators by each other.
So the denominators are 3 and 4 of 1/3 and 1/4.
3*4 and 4*3 is both 12.
What you do to the bottom is what you need to the top the numerator.
1*4 is 4 and 1*3 is 3.
4/12 + 3/12.
Since the denominators are the same don't add those together keep them the same.
4/12 + 3/12 = 7/12
Now add the whole number 3 to 7/12
3 7/12 is your answer.
