Answer:
17
Step-by-step explanation:
m<1 = (4x + 2)
m<3 = (5x - 15)
To find the value of x, we need to generate an equation.
<1 and <3 are vertical angles. Vertical angles are congruent. Therefore:
m<1 = m<3
(4x + 2) = (5x - 15)
Use this equation to solve for x
4x + 2 = 5x - 15
Subtract 5x from both sides
4x + 2 - 5x = 5x - 15 - 5x
-x + 2 = -15
Subtract 2 from both sides
-x + 2 - 2 = -15 - 2
-x = -17
Divide both sides by -1
x = 17
Answer:
Step-by-step explanation:
Given the expression:
To find:
The expression of above complex number in standard form 
.
Solution:
First of all, learn the concept of 
(pronounced as <em>iota</em>) which is used to represent the complex numbers. Especially the imaginary part of the complex number is represented by .
Value of 
.
Now, let us consider the given expression:
So, the given expression in standard form is .
Let us compare with standard form so we get 
.
The standard form of
is: 
Answer:
Mike can go 124 miles
Step-by-step explanation:
Car rent = $29.20
However, a customer has to pay $0.20 for every mile.
Mike has $54 to spend on the car for a day.
If he pays the car rent which is $29.20, then he has
$54 - $29.20 = $24.80 remaining
1 mile = $0.20
x miles = $24.80
By cross multiplication
0.20x = 1 * 24.80
x = 24.80/0.20
x = 124 miles
Answer:
9 3/4
Step-by-step explanation:
Pounds of bananas=2 7/8
=23/8
Pounds of apple=3 1/2
=7/2
2 bags of oranges=2 3/4 each
11/4 each.
Total pounds of oranges=2(11/4)
=22/4
Total pounds of fruits Marisol bought from the market=pounds of bananas+pounds of apples+pounds of oranges
=28/8+7/2+22/8
Find the L.C.M and add them
The L.C.M=8
Total pounds of fruits =28+28+22/8
=78/8
=9 6/8
Equivalent to
9 3/4
