Answer:
a. 7 by 21
b. a(-12, 2), b(-12, -5), c(9, -5)
Step-by-step explanation:
AD is 3 times the length of AB. X can be the length of AB. Then 3x would be the length of AD. The perimeter is 56, which would also be 3x + x + 3x + x which is 8x. This gives us 8x = 56, meaning that x is 7, or the length of AB is 7. Because AD is 3 times the length of AB (which is 7), AD = 21. Therefore, the dimensions of the rectangle ABCD is 7 by 21.
Coordinates of A have to be 21 units away from D since AD = 21. It goes in the left direction, meaning that 21 is subtracted from 9 (since this is a horizontal edge involving x coordinates) while the y value remains the same. The result is (-12, 2). For coordinate B, it has to be 7 units away from A downwards since AB = 7. This means that you subtract 7 from 2 (involving only the y coordinates), resulting in (-12, -5). For coordinate C, it has to be 21 units from B since BC = AD = 21. Because C is right compared to B, you have to add 21 to -12 (involving only the x coordinate) resulting in (9, -5).
Answer:
Step-by-step explanation:
Given expression : 
Solving further :
So,
So, The given expression is equivalent to Option A
So, Option A is the answer
40\8
5\1
=5
or
0.2
I hope this help
Answer:
Monday is a weekday, with which there would be 8 volunteers.
In turn, Saturday is a weekend day, with which there would be 5 volunteers.
2 people will not be helped if the ratio of volunteers to the person needing help is 1:1.
Step-by-step explanation:
Given that there are 8 volunteers during the weekday and only 5 volunteers on the weekend, to determine how many volunteers do you have on Monday and Saturday the following logical reasoning must be carried out:
Monday is a weekday, with which there would be 8 volunteers.
In turn, Saturday is a weekend day, with which there would be 5 volunteers.
In turn, if you have 10 people who need help from the volunteers on Monday, to determine how many will not get helped if the ratio of volunteers to the person needing help is 1: 1 the following logical reasoning must be carried out:
10: 8
1: 1
10 - 8 = 2
Thus, 2 people will not be helped if the ratio of volunteers to the person needing help is 1:1.
Answer: There are 6 vertices in the polyhedron
Step-by-step explanation:
V- E+ F= 2
V- 10+ 6= 2
V- 4 = 2
V=6
