Answer:
No :)
Step-by-step explanation:
the graph does not make a straight line. :)
Answer:
o = 54
Step-by-step explanation:
The angle sum theorem tells you the sum of angles in a triangle is 180°. The definition of a linear pair tells you the two angles of a linear pair total 180°. Together, these relations tell you that an exterior angle of a triangle is equal to the sum of the remote interior angles.
In this geometry, the angle marked 78° is exterior to the left-side triangle. That means ...
78° = o° +24°
o° = 78° -24° = 54°
The value of 'o' is 54.
__
<em>Additional comment</em>
n° is the supplement of 78°, so is 102°.
m° is the difference between 102° and 22°, so is 80°.
Answer:
6.25n + 3.50
$34.75
Step-by-step explanation:
Break down the important information given in the problem.
The one-time delivery fee is 3.50. This is only paid one time an never again, making it the <u>constant</u>, a number that does not change.
Each lunch costs 6.25. This amount will increase depending on how many times Mr. Jackson orders lunches, "n" times. This number is the <u>rate</u> because it changes. The rate is attached to the variable.
If you add the amounts together, that is the total cost of ordering lunches.
6.25n + 3.50
(Reember expressions do not have the equal sign).
To find the cost of ordering 5 lunches, use the expression. Substitute "n" for 5 because "n" represents the number of lunches ordered.
6.25n + 3.50
= 6.25(5) + 3.50 Simplify by multiplying 5 and 6.25
= 31.25 + 3.50 Add the two values
= 34.75 Total cost of 5 lunches
Therefore the cost of ordering 5 lunches is $34.75.
x+19= 26
x+19-19= 26-19
x= 7
Check answer by using substitution method
x+19= 26
7+19= 26
26= 26
Answer is x= 7 (D.)
Answer:
Principal Invested in Municipal Bonds is $16,000
Principal Invested in Corporate Bonds is $15,000
Step-by-step explanation:
If;
Principal Invested in municipal bonds = a
Principal Invested in corporate bonds = b
then we have;
a + b = $31,000
--------------------------------Equation 1
0.075a + 0.085b = $2,475 ---------------Equation 2
From equation 1 we have;
a = 31,000 - b
By putting the values of a in Equation 2 we get;
0.075 (31,000 - b) + 0.085b = 2,475
2,325 - 0.075b + 0.085b = 2,475
0.01b = 150
b = $15,000
By putting the values of b in equation 1 we get;
a = $16,000