Answer:
Vertical angles are always congruent.
Step-by-step explanation:
Vertical angles are formed when two straight lines intersect each other, thereby forming two pairs of opposite angles, which are called vertical angles. Thus, a pair of these vertical angles formed are congruent to each other. So therefore, if two angles are said to be vertical angles, it follows that they are congruent to each other.
Using the diagram attached below, we can see two straight lines intersecting each other to form two pairs of vertical angles:
<a and <b,
<c and <d.
Thus, <a is congruent to <b, and <c is congruent to <d.
Therefore, the standby that is true about vertical angles is that:
Vertical angles are always congruent.
We can make an equation that would help this. X will be the discount rate.
4x=3.60
Now, we need to solve the equation to find what X is.
Let's divide each side by 4.
x=.9
So, we know that the item was sold for 90% of what it was before, meaning that it has a 10% discount.
The total purchase price including sales tax will be $1449.6136
<em><u>Explanation</u></em>
Festus bought a computer at $736.34, Apple iPad at $249.99 and a printer at $381.23
So, the <u>total price of all three items</u> 
dollar.
The sales tax rate is 6%. So, <u>the amount of sales tax</u> 
dollar.
Thus, the total purchase price including sales tax will be: (1367.56 + 82.0536) dollar = 1449.6136 dollar
Answer:
x=1
Step-by-step explanation:
The unknown number expressed as a mixed fraction is 11 19/20
Let the unknown number be "x"
The sum of the number and 1.75 is expressed as x + 1.75
Half the sum of a number and 1.75 is 1/2(x+1.75)
Equating the result to -5.1 wil give:
1/2(x+1.75) = -5.1
Solve the resulting equation
x + 1.75 = 2(-5.1)
x + 1.75 = -10.2
x = -10.2 - 1.75
x = 11.95
x = 1195/100
x = 11 95/100
Hence the unknown number expressed as a mixed fraction is 11 19/20
Learn more here: brainly.com/question/14583740
