Answer:
-54 and 56
Step-by-step explanation:
An integar is only the number which has no decimals or fractions
Answer:
m<7 = 139°
Step-by-step explanation:
Given:
m<3 = (3x + 11)°
m<2 = (4x + 1)°
Required:
m<7 = ?
SOLUTION:
Given that l and m are parallel lines, m<3 and m<2 are alternate interior angles.
Alternate interior angles are congruent. Therefore:
m<3 = m<2
(substitution)
Solve for x
Divide both sides by -1
Find m<2:
m<2 = (4x + 1)
Plug in the value of x
m<2 = 4(10) + 1 = 40 + 1
m<2 = 41°
Find m<7:
m<2 + m<7 = 180° (consecutive interior angles are supplementary)
41° + m<7 = 180° (substitution)
m<7 = 180 - 41 (subtracting 41 from each side)
m<7 = 139°
X = t - 3 is also -t = -x - 3 or t=x+3
Substitute it in
y=2/t+5
y=2/(x+3)+5
Let y=0 to solve for x
0=2/(x+3)+5
-5= 2/(x+3)
-10=x+3
-7=x
Now solve for t
t = x+3
t = (-7)+3
t = -4
Now we can solve for y
y = 2/(-4)+5
y = -0.5+5
y = 4.5
To check
4.5 = 2/(-4) + 5
4.5 = -0.5 + 5
4.5 = 4.5
-7 = -4 - 3
-7 = -7
Therefore
x = -7
y = 4.5
t = -4
Answer:
4x2 - 3xy - 9y2
Step-by-step explanation:
The given question is incomplete. The complete question is:
The test scores of 40 students are summarized in the frequency distribution below a summarized in the given frequency distribution. score Find the mean Score Students 50-59 (5) 60-69(15) 70-79(6) 80-89(5) 90-99(9)
A) 70.3 B) 74.0 ) 74.5 D) 66.6
The correct option is B.
Step-by-step explanation:
Given,
<u>Data</u> <u>Frequency</u>
50-59 5
60-69 15
70-79 6
80-89 5
90-99 9
To find the mean of given data.
Formula
Mean = Sum of ( Freq× Mid point)÷ total frequency
<u>Data</u> <u>Frequency</u> <u>Mid internal</u> <u>Freq× Mid point</u>
50-59 5 54.5 272.5
60-69 15 64.5 967.5
70-79 6 74.5 447
80-89 5 84.5 422.5
90-99 9 94.5 850.5
Now,
Sum of ( Freq× Mid point) = 2960
Number of students = 40
So,
Mean = 2960÷40 = 74
The correct option is B.
