A. There are 9 members of the Supreme Court, with one Chief Justice and eight associates justices.
b. With 9 justices and all of them shaking their hands once, they would have to make 36 handshakes, because they wouldn't have to handshake the same person again, and for the first justice, they would have to shake either other hands, with the second one only needing to shake seven hands, the third making only six handshakes and so on, until one of them only has to make one handshake. In an equation, this is 8+7+6+5+4+3+2+1, which gives you the sum of 36. The justices have to make 36 handshakes total.
<span>Actually the above equation can be solved by following the below steps to fins the value of x
Step1: 3(x-k)/w=4
Step 2: (3x-3k)/w=4
Step 3: (3x-3k)=4w
Step 4: 3x=4w+3k
So hence therefore by following the above steps we can conclude that the value of x is
Step 5: x=(4w+3k)/3</span>
Answer:
∠ 1 = 109° , ∠ 2 = 29° , ∠ 3 = 71°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , then
∠ 1 + 35° + 36° = 180°
∠ 1 + 71° = 180° ( subtract 71° from both sides )
∠ 1 = 109°
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∠ RVU and ∠ 1 are adjacent angles on a straight line and sum to 180° , then
∠ RVU + ∠ 1 = 180°
∠ RVU + 109° = 180° ( subtract 109° from both sides )
∠ RVU = 71°
In Δ RVU
∠ 2 + 80° + 71° = 180° ( sum of angles in triangle )
∠ 2 + 151° = 180° ( subtract 151° from both sides )
∠ 2 = 29°
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∠ 3 and ∠ RVU are vertically opposite angles and are congruent , then
∠ 3 = 71°
<u>Answer:</u>
If Matthew knows the volume of a rectangular prism then the height of the prism is 6 meters.
<u>Solution:</u>
Given, Matthew knows the volume of a rectangular prism is 132
And the area of the base is 22
We have to find what is the height?
Now, we know that,
volume of the rectangular prism = area of the base of the prism height of the prism.
So, substitute the given information in the above formula.
132 = 22 height of the prism.
Height of the prism =
Hence height of the prism is 6 meters.