Answer:
5z+30
Step-by-step explanation:
5(z+6)
^ multiply each term in the parentheses by 5
5z+5x6
then,
5z+5x6 (multiply the numbers)
the answer will be 5z+30
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°
What do you mean I’m confused
Answer : B x 1 2 3 4 y 3.2 6.4 9.6 12.8
WE analyze the first option A
x -- y -- Difference
8 -- 20
9 -- 22.5 -- 2.5
10 -- 25 -- 2.5
11 -- 27.5 -- 2.5
From the first function we can see there is a constant difference of 2.5.
We analyze the second option B
x -- y -- Difference
1 -- 3.2
2 -- 6.4 -- 3.2
3 -- 9.6 -- 3.2
48 -- 12.8 -- 3.2
From the second function we can see there is a constant difference of 3.2
3.2 is the greatest
So second function B has the greatest constant of variation.
Given:
The coordinates of point K' are (6,5).
K' is the image of K after a reflection in the line y=2.
To find:
The coordinates of point K.
Solution:
Let the coordinates of point K are (a,b).
If a figure is reflected over the line y=2, then
Using this formula, the coordinates of image of K are
The coordinates of point K' are (6,5).
On comparing both sides, we get
Therefore, the coordinates of point K are (6,-1).
