Answer:
The complement is 53 and the supplement is 143
Step-by-step explanation:
Two complementary angles add to 90
PQR and x = 90
37+x = 90
Subtract 37 from each side
37-37 +x =90-37
x = 53
The complement is 53
Two supplementary angles add to 180 degrees
PQR and x = 180
37+x = 180
Subtract 37 from each side
37-37 +x= 180-37
x = 143
The supplement is 143
Answer:
the height of bag b is 7
Step-by-step explanation:
first, find the volume of bag a.
volume formula:
length * width * height = volume
length = 4
width = 3.5
height = 6
substitute the values into the formula
4 * 3.5 * 6 = volume
84 = volume
the volume of bag A is 84
next, find the height of bag b
volume formula:
length * width * height.
length = 8
width = 3
volume = 168 (84 * 2)
8 * 3 * h = 168
24h = 168
24h/24 = 168/24
h = 168/24
h = 7
the height of bag B is 7
Answer:
16
Step-by-step explanation:
Let's represent this with an equation, where x is the first number. The next number must be x+2, because it has to be even, not x+1, and the rest continue the same way:
x+(x+2)+(x+4)+(x+6)+(x+8) = 100
Solve for x.
5x+20 = 100
5x = 80
<u>x = 16</u>
The ordered pair which makes both inequalities true is: D. (3, 0).
<h3>How to determine ordered pair?</h3>
In Mathematics, an inequality can be used to show the relationship between two (2) or more integers and variables in an equation.
In order to determine ordered pair which makes both inequalities true, we would substitute the points into the inequalities as follows:
At (0, 0), we have:
y > -2x + 3
0 > -2(0) + 3
0 > 3 (false).
y < x – 2
0 < 0 - 2
0 < -2 (false)
At (0, -1), we have:
y > -2x + 3
-1 > -2(0) + 3
-1 > 3 (false).
y < x – 2
-1 < 0 - 2
-1 < -2 (false)
At (1, 1), we have:
y > -2x + 3
1 > -2(1) + 3
1 > -1 (true).
y < x – 2
1 < 1 - 2
1 < -1 (false)
At (3, 0), we have:
y > -2x + 3
0 > -2(3) + 3
0 > -3 (true).
y < x – 2
0 < 3 - 2
0 < 1 (true).
Read more on inequalities here: brainly.com/question/24372553
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Answer:
Let E denote the event of choosing a jury with 10 men and 2 women.
The sample space for selecting 12 members from the pool contains 55C12 elements.
The number of ways of selecting 10 men and 2 women is 26C10 29C2.
The probability of event E =
The probability of selecting a jury with 10 men and 2 women is 0.005 (0.5%).
Step-by-step explanation:
see the image :
