Henrietta has $120 to buy a new bicycle. She finds the bike that she wants to buy on sale for 20% off the regular price of $150. If there is 6% sales tax, which of the following best describes the amount of money Henrietta has with regards to buying the bike. a. Henrietta has enough before the tax, but not enough after the tax. b. Henrietta has enough money even after the tax. c. Henrietta does not have enough money even before the tax. d. There is not enough information given.
Answers
Henrietta budget: 120
Original Price of the bike : 150
discount: 20%
sales tax: 6%
150 * 20% = 30
150 - 30 = 120 discounted price
120 * 6% = 7.2 sales tax
120 + 7.2 = 127.20 total cost of the bike
Since Henrietta only has 120, A.) Henrietta has enough before the tax, but not enough after the tax.
Answer:
A. Henrietta has enough before the tax, but not enough after the tax.
Step-by-step explanation:
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Prove ΔNKJ ≅ ΔMLK
Statements Reasons
1. JK≅KL,NK≅KM 1. Given
2.
3. ΔNKJ ≅ ΔMLK 3.________
ANSWER CHOICES
a. reflexive property of ≅ ; SAS
b. reflexive property of ≅ ; ASA
c. vertical angles are congruent; ASA
d. vertical angles are congruent; SAS
Answers
Answer:
Option d is correct.
Vertical angles are congruent;
SAS
Step-by-step explanation:
Given: ,
In ΔNKJ and ΔMLK
and [Side] {Given}
Vertical angles states that the two lines intersect to make an X, angles on opposite sides of the X are called vertical angles.
i.e and
are vertical angles.
Also, vertical angles are congruent.
[Angle] [Vertical angles are congruent]
SAS(Side-Angle-Side) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
then, by SAS postulates;
Hence proved!
Therefore:
Statement Reason
1. ,
Given
2. Vertical angles are congruent
3. SAS
Answers
Answer:To determine the area of a regular hexagon, we need to use the formula:
Area = (3√3 * s^2) / 2
Where:
- s represents the length of one side of the hexagon.
In the given question, the side length of the regular hexagon is not provided. Therefore, we cannot calculate the exact area without that information.
However, if we assume the side length is 7.79 meters, we can substitute it into the formula to find the area:
Area = (3√3 * (7.79)^2) / 2
Area = (3√3 * 60.6641) / 2
Area ≈ 104.434 square meters (rounded to three decimal places).
Again, please note that this answer assumes the side length of the hexagon is 7.79 meters. If the actual side length is different, the area will also be different.
Step-by-step explanation:sorry for this guys meanness he did it to me to
Answers
Answers
It doesn't matter whether it's a whole number, a mixed number, a fraction,
or a decimal.
Here are a few:
1.6
3 and 3/4
2.71828
46 million and 1/2
negative 42
Answers
Answer:
I got 31.5
Step-by-step explanation:
7/8×36=31.5
b. x = 2, DF = 7, EG = 12
c. x = 2, DF = 6, EG = 6
d. x = 2, DF = 7, EG = 7
Answers
DF is equivalent to EG; Therefore, the equation would be like this:
5x - 3 = x + 5
Transfer 3 and x to their opposite side and change their signs.
5x - x = 5 + 3
4x = 8
Find x. Divide both sides by 4.
4x / 4 = 8 / 4
x = 2
Subsitute x in the equation to find the length of each diagonal.
DF = 5x - 3 = 5(2) - 3 = 10 - 3 = 7 ; DF = 7
EG = x + 5 = 2 + 5 = 7 ; EG = 7
Solution:
by ratio: DF : EG
5x - 3 = x + 5
Solving for x:
5x -x = 5 + 3
x = 2
Substituting x=2 in the expression
DF = 5x -3 = 5(2) - 3 = 7
EG = x + 5 = 2 + 5 = 7