Answer:
a. 125
Step-by-step explanation:
the angle labeled "x" is supplementary with the angle that has a measure of 55°
Supplementary angles add up to equal 180°
This means that x + 55 must equal 180
Note that we've just created an equation that we can use to solve for x.
We now solve for x using the equation we just created.
x + 55 = 180
subtract 55 from both sides
x = 125
The answer is a
Answer:
296.97
Step-by-step explanation:
Remark
The first thing you have to realize is that you take the discount before you add the sales tax.
Discount
If she receives a 15% discount, she still pays 85% of the full price.
85/100 * 325 = 276.25
Sales Tax
A sales tax is only added on after a goods or service has been determined and agreed upon by the buyer and seller.
The sales tax can be calculated quickly by adding the decimal equivalent onto 1 and multiplying that by the discounted amount.
1 + 7.5% = 1 + 7.5/100 = 1 + 0.075 = 1.075 deriving the discount amount
Cost
Cost = discounted price * 1.075 Substitute in Formula
Cost = 276.25 * 1.075 Simplify
Cost = 296.97 Answer
Angles 2 and 6 are corresponding angles.
When parallel lines are cut by a transversal, corresponding angles are congruent, so angles 2 and 6 are congruent.
m<2 = m<6 = 64 deg.
Angles 5 and 6 are a linear pair, so they are supplementary, and their measures add to 180 deg.
m<5 + m<6 = 180
m<5 + 64 = 180
m<5 = 180 - 64
m<5 = 116
Answer: m<5 = 116 deg.
4x² * 4x² = <span>We can change the order of the factors
4 * 4 * x</span>² * x² = 16 * x²⁺² = 16*x⁴ = 16x⁴
Answer 16x⁴
