Answer:
Step-by-step explanation:
In this question, it is given that, A rectangle with a short side of 6. An arrow points to a smaller rectangle with a short side of 1.5 .
The shorter side of first rectangle is of measurement 6 units and of second rectangle, is of size 1.5units .
To find the scale factor, we have to do division of the shorter sides of the first and second rectangle, that is
So the scale factor is 0.25 .
The points are (168, 168) , (168,56) , (112,0) , (70,112)
Given a scale factor is 14 and the center of dilation (0,0)
We need to find the Points using the scale factor and polygon tool
Now to find the new points the equation is
(old points - dilation center)*scale factor + dilation center
As we know the origin is the dilation center which simplifies to
(old point)*dilation center
(12,12) * 14 = (168,168)
(12,4) * 14 = (168, 56)
(8,0)*14 = (112, 0)
(5,8) *14 = (70, 112)
Hence the new points are (168, 168) , (168,56) , (112,0) , (70,112)
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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.
The equation we can use to find the value of x in the diagram given is: B. (5x + 30) + 5x = 90.
<h3>What are Complementary Angles?</h3>
Angles that give a sum of 90 degrees when added are referred to as complementary angles.
The angles, (5x + 30) and 5x are complementary angles, since the sum of both gives a right angle (90 degrees).
Therefore, the equation that we can use to find x in the diagram is: B. (5x + 30) + 5x = 90.
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