A truth table is a way of organizing information to list out all possible scenarios. We title the first column p for proposition. In the second column we apply the operator to p, in this case it's ~p (read: not p). So as you can see if our premise begins as True and we negate it, we obtain False, and vice versa.
Answer:
15degrees
Step-by-step explanation:
From the given diagram
<1+<2 + <DCB = 180
<1+<2+120 = 180
<1+<2 = 180 - 120
<1+<2 = 60
<2 = 60 - <1
<2 = 60 - 45
<2 = 15degrees
Hence the measure <2 is 15degree
Answer:
<E = 36 degrees (Answer B)
Step-by-step explanation:
Recall that the addition of all internal angles in a quadrilateral must equal 360 degrees. Then we can write the equation that states this as:
<E + <F + <G + <H = 360
Notice as well that we are dealing with an isosceles trapezoid, so there is a symmetry along the line that passes through the midpoints of sides FG and EH (the two bases). That means that the measures of angles <F = <G and <E = <H .
The previous equation then can be written as:
<H + <G + <G + <H = 360
Also, since we are told that <G = 4 <H, we can use this info in the equation as shown below:
<H + 4 <H + 4 <H + <H = 360
10 <H = 360
divide both sides by 10 to isolate <H
<H = 360 / 10
<H = 36
Since as we mentioned, <E equals <H, we can state that
the measure of <E = 36 degrees (Answer B)
Answer:
The cost of 7.5 lbs of chopped walnuts is $25.875
Step-by-step explanation:
we are given
It costs $3.45 to buy lb of chopped walnuts
so,
1 lb of chopped walnuts = $3.45
now, we can multiply both sides by 7.5
so, we get
7.5 lbs of chopped walnuts = $25.875
So, the cost of 7.5 lbs of chopped walnuts is $25.875
Answer:
Step-by-step explanation:
tax = 8% of $600
"%" means "divide by 100"
"of" means "times"
tax = 8% of $600 = 0.08 × $600 = $48
This corresponds to option 2.
