Answer:
The correct option is;
Up, rotate 90 degrees counterclockwise, down and right, rotate 90 derees clockwise, left
Step-by-step explanation:
The motion of the shape are
1) The shape is moved up from the initial position
2) The shape is then rotated 90 degrees in the reverse direction of the motion of the clock
3) The shape then moves two motion of coming down and moving right in one step
4) The shape is then rotated 90 degrees in the clockwise direction
5) In the final step, the shape is moved left.
Applying the triangle sum theorem, we have:
First angle measure = 35°
Second angle = 70°
Third angle = 75°
<h3>What is the Triangle Sum Theorem?</h3>
According to the triangle sum theorem, all angles in a triangle will give a sum of 180 degrees.
First angle measure = x
Second angle = 2x
Third angle = (2x + x) - 30 = 3x - 30
x + 2x + 3x - 30 = 180 [triangle sum theorem]
6x - 30 = 180
6x = 180 + 30
6x = 210
x = 210/6
x = 35
First angle measure = x = 35°
Second angle = 2x = 2(35) = 70°
Third angle = 3x - 30 = 3(35) - 30 = 75°
Learn more about the triangle sum theorem on:
brainly.com/question/7696843
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Answer:
After 3 visits both plans will cost the same.
Step-by-step explanation:
Gym A costs $26.76 plus an additional $4 for each visit.
Gym B has no initial fee but costs $12.92 for each visist.
The cost for gym A can be written as
C= $26.76 + 4(x) where x is the number of visits to the gym A
The cost for gym B can be written as
C= $12.92 (x) where x is the number of visits to the gym B
Both costs will be equal
12.92x= 26.76 +4x
12.92x-4x= 26.76
8.92x= 26.76
x= 26.76/8.92
x= 3
after 3 visits both plans will cost the same.
Check
12.92x= 26.76 +4x
12.92*3= 26.76 +12
38.76= 38.76
Answer:
Step-by-step explanation:
Given expression:
Remove parentheses:
Collect like terms:
Combine like terms:
Answer:
10x − 1.44y
Step-by-step explanation:
(6.15x + 0.24y) ÷ 1.5 + 5.9x − 1.6y =
= 4.1x + 0.16y + 5.9x − 1.6y
= 10x − 1.44y
