No, two equilateral triangles need not to be always congruent with one another .
Justification of answer:
The reason is that although an equilateral triangle's angles are all 60 degrees, their corresponding sides are not necessarily the same .
Properties of an equilateral triangles:1. All 3 side of an equilateral triangles have same length .
2. All 3 angles of an equilateral triangles have same measure.
3. Each angles of an equilateral triangles is 60 degree .
4. Area of equilateral triangles = [tex]\frac{\sqrt{3} }{4} *a^2[/tex]
5 . Perimeter of an equilateral triangles = 3*a
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Jose wants to pay off his credit card balances within 18 months. He is trying to decide if he should use his $1,750 in
savings to pay off part of the balances or if he should transfer the balances to a new card with a low introductory
rate. The new credit card has an introductory rate of 8% but charges a balance transfer fee of $60 for each balance
transfer. Jose decides to pay off Credit Card B using his savings and then transfer the balance of Card A to the new
card. Which of the following options shows the amount of Jose's new monthly payment?
Credit Card A: $1,154
Credit Card B $1,469
A. $90.43
B. $68.25
C. $71 80
D. $75.34
Answer:
ANSWER IS C: 71.80
Step-by-step explanation:
hope this helps :D you got this!!
The amount that corresponds to the new monthly payment of Jose is approximately $75.34. Hence, option D is correct.
What is use of credit card ?Credit cards are a widely used financial tool that allow individuals to make purchases on credit. The main use of a credit card is to allow the cardholder to borrow money from the card issuer
If Jose decides to pay off Credit Card B using his savings of $1,750, he will have a remaining balance of $1,154 on Credit Card A.
If he transfers the balance of Credit Card A to the new card with a low introductory rate of 8%, he will incur a balance transfer fee of $60.
The total balance transferred = $1,154 + $60 = $1,214.
To determine his new monthly payment, we need to calculate the monthly interest rate on the new card.
At an annual interest rate of 8%, the monthly interest rate is :
8% / 12 = 0.67%.
Using an online loan calculator or spreadsheet, we can calculate that the monthly payment required to pay off a balance of $1,214 in 18 months at a monthly interest rate of 0.67% is $75.34 (rounded to the nearest cent).
Therefore, the answer is D. $75.34, which represents Jose's new monthly payment.
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Need help! Marking brainliest. Need step by step solution
Answer:
400 J
Step-by-step explanation:
Kinetic energy = ½ mv²
mass = 50 kg
velocity = 4 m/s
Kinetic energy = ½×50×(4)²
= ½×50×16
= 50×8
= 400 J
Option Four
[tex]mass(m) = 50kg \\ velocity(v) = 4ms {}^{ - 1} \\ kinetic \: energy = \frac{1}{2} mv {}^{2} \\ = \frac{1}{2} \times 50 \times (4) {}^{2} \\ = 400[/tex]
Help Me! Will give brainliest. Hurry UP!
11-2m-[n+5+-m-3n+8
Simplify!
Answer: 4mn+2m^2 -26m+ 11
Step-by-step explanation:
Answer: --1• (3m + 4n -- 24)
Step-by-step explanation:
I have done this equation before I just can find how to do the problem sorry
You are planning to go to the movies tonight, but you only have 25
dollars to spend. The ticket for the movie that you want to see is 9
dollars plus 4 dollars for each snack. Write an equation that would
represent how many snacks you can buy after purchasing the ticket. Use
x to represent the number of snacks purchased.
Answer:
9+4x=25
Step-by-step explanation:
2 1/5+6 4/5 6 5/12 -2 1/12 11 8/9+4 1/3 7 1/6-5 3/4 11/18+ 6 1/10 15 1/3- 2 5/8 mixed numbers
Answer:
2 1/5+6 4/5 = 9
6 5/12 -2 1/12 = 4 1/3
11 8/9+4 1/3 =16 2/9
7 1/6-5 3/4 = 1 5/12
11/18+ 6 1/10 = 6 64/90
15 1/3- 2 5/8 = 12 17/24
Step-by-step explanation:
Using the technique of mixed numbers to add the fractions
2 1/5+6 4/5
=2+6 + 1/5+4/5 add the whole numbers separately and then the fractions
=8 5/5= 9
6 5/12 -2 1/12
=6-2 + 5-1/12
=4 4/12
= 4 1/3
11 8/9+4 1/3
=11+4 +8/9+1/3 adding the whole numbers separately
=15 + 8+3/9
= 15+11/9 adding the fractions separately
= 15+1+2/9
= 16+2/9
=16 2/9
7 1/6-5 3/4
= 7-5 +1/6 -3/4 subtracting the whole numbers separately
= 2+ 2-9/12 subtracting the fractions separately
= 2-7/12
= 24-7/12
= 17/12
=1 5/12
11/18+ 6 1/10
= 11/18 + 61/10
= 110 +1098/180
= 1208/180
= 6 128/180
= 6 64/90
15 1/3- 2 5/8
=15- 2 + 1/3- 5/8
=13 + 8- 15/24
= 13 + -7/24
= 312-7/24
= 12 17/24
2(x+7)=-4x+14 type the steps to solve it. Thanks.
[tex]product \: of \: 5x \: 6y \: and7z[/tex]
Answer:
210xyz
Step-by-step explanation:
Given
5x × 6y × 7z
= 5 × x × 6 × y × 7 × z
= 5 × 6 × 7 × x × y × z
= 210xyz
what is the answer please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
22/75
Step-by-step explanation:
To find the average add up the values and divide the sum by the number of values.
Rewriting all values as fractions, rewriting any negatives if necessary and, setting up as an addition problem
=1/2+1/5+1/5+1/10+7/15
The least common denominator (LCD) is: 30.
Rewriting as equivalent fractions with the LCD:
=15/30+6/30+6/30+3/30+14/30
Rewriting numerators over the common denominator,
=15+6+6+3+1430
Totaling the numerator:
=44/30
Reducing the fraction:
=22/15
Dividing by the number of values: 5
22/15÷5=22/15×15=22/75
Average of the fractions is:
Average=22/75
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Answer: 3.6
Step-by-step explanation:
Using pythagorean we can determine that a^2+b^2=c^2
In this case the leg and adjacent make a distance of 2 and 3 we can substitute for a and b so
[tex]2^{2}+3^{2}=c^{2}[/tex]
13=[tex]c^{2}[/tex]
c= 3.605 rounded is 3.6
he line segment is rotated by 270 degrees counterclockwise about the origin to form C′D′. Which statement describes C′D′?
1. C′D′ is 4 units long.
2. C′D′ is 8 units long.
3. C′D′ is parallel to CD.
4. C′D′ is half the length of CD.
Answer:
it is parrell
Step-by-step explanation:
Which of the following is the correct order when multiplying two binomials?
Inner, first, last, outer
First, outer, inner, last
Outer, last, first, inner
Last, inner, outer, first
Please help.
Answer:
A technique for distributing two binomials. The letters FOIL stand for First, Outer, Inner, Last. First means multiply the terms which occur first in each binomial.
Step-by-step explanation:
The correct order when multiplying two binomials will be First, outer, inner, and last. Then the correct option is B.
What is binomial?The binomial is a polynomial of two-term only. For example, x + 5 where x and 5 are two separate terms.
It is also known as the product. If the object n is given to m times then we just simply multiply them.
Let the two expressions are (a + b) and (c + d). Then the multiplication of the expressions will be given as,
⇒ (a + b) x (c + d)
⇒ a(c + d) + b(c + d)
⇒ ac + ad + bc + bd
The correct order when multiplying two binomials will be First, outer, inner, and last. Then the correct option is B.
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Bruce drewa scale of a resturaunt the scale he used was 1 milimeter 10 meters the resteraunt kitchen is 3 milimeters long in the drawing how long is the actual kitchen
Answer: 30 meters.
Step-by-step explanation:
Since the scale used by Bruce in the drawing that she made is:
1 milimeter = 10 meters
If the restaurant kitchen is 3 milimeters long in the drawing, the length of the actual kitchen will then be:
1/3 = 10/x
Cross multiply
1 × x = 3 × 10
x = 30
Therefore, the actual length is 30 meters.
Mr. Holmes is buying mulch for his triangular-shaped garden shown below. The mulch he is purchasing costs $3.75 per bag. If each bag covers 18 square feet, how much will it cost him?
Answer:
Step-by-step explanation: 76
A bird flying at an elevation of 110 ft swoops down to grab a mouse on top of a 3 foot tall rock. What is the change in the birds elevation?
Answer:
Bird swoops down by 107 feet to grab a mouse on top of a [tex]3[/tex] foot tall rock
Step-by-step explanation:
Given
The level of mouse from the ground is [tex]3[/tex] foot as it is on the top of a [tex]3[/tex] foot tall rock.
The level of bird at which it is flying from the ground is [tex]110[/tex] feet
Change in elevation when the bird swoops down to grab the mouse
[tex]= 110 -3\\= 107[/tex]feet
Bird swoops down by 107 feet to grab a mouse on top of a [tex]3[/tex] foot tall rock
The area of a sector created by a 150° angle is 20.5 in.2. What is the area of a sector created by an angle of 300° in the same circle?
10.25 in.2
30.75 in.2
41 in.2
64 in.2
Answer: 41in 2
Step-by-step explanation: i just got it right on edge
Answer:
C. 41 in.2Step-by-step explanation:
Write an equation to represent the situation. Cayla was going to sell all of her stamp collection to buy video game after selling half of them she changed her mind she then bought four more. How many did she start with if she now has 26.
Answer:
[tex]y = \frac{1}{2}x + 4\\\\[/tex]
Cayla started with 44 stamps
Step-by-step explanation:
Let x = the number of stamps in Cayla's stamp collection;
[tex]y=\frac{1}{2}x + 4[/tex]
[tex]26 = \frac{1}{2}x + 4\\\\22 = \frac{1}{2}x\\\\44 = x[/tex]
The PS4 cost $650 when it first came out. Two years later it was only worth $250. By what percentage did the price decrease?
Answer:
It decreased by 61.5%
Step-by-step explanation:
Two chords, AC and DE, intersect inside of circle O at point X. AX=15 cm, CX= 12 cm, and EX= 21 cm. Find DE
Answer:
Do you have a picture or something?
Step-by-step explanation:
Cindy put equal sized marbles into a bowl. Then, she shook the bowl until 3 marbles fell out. Is this a random sample of the marbles? YESS OR NOO?
ANSWER FAST!!
Answer:
Yes
Step-by-step explanation:
I'm assuming this is right
Which is more 35 inches or 3 feet
Answer:
3 feet
Step-by-step explanation:
3 feet is more because 35 inches = 2 feet and 11 inches.
Can someone please help me with this because I don’t get it
Answer:
161
Step-by-step explanation:
the sum of the two interior angles equals that exterior angle
121+40=161
Two names for the angle formed by the dashed rays are? help please
Answer:
VTB and MTF
Step-by-step explanation:
There's also another value called FTL
After spending 2/3 of his money. Charles has 12 pesos left. How much did he have at first??
The total amount of money charles must have had at the beginning is 36 pesos.
What are fractional linear equations and how one can solve it?
Linear equations which are in the form of fractions are referred as fractional linear equations.
an equation containing the unknown in the denominator of one or more terms (as a/x + b/(x + 1) = c)
It is frequently simplest to eliminate the fraction in the first step when dealing with fractions incorporated into linear equations. Typically, this entails locating the fraction's LCD and multiplying each term in the entire equation.
Solution:
Given:
Money left with charles = 12 pesos
Money spent = 2/3 of the total amount.
Find:
Total Money he had at first = ?
Step-1:
Let x denote the total amount of money he had at the beginning.
After spending 2/3 of his money he is left with 1/3 of part of his money.
Step-2:
So the equation can be written as:
1x/3 = 12
x = 36
Hence the total money he had at the beginning was 36 pesos.
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Confused on this one help me solve for point B
Answer:
1,-1
Step-by-step explanation:
because section be is for +,-
Answer:
1,-1
Step-by-step explanation:
What is the SLOPE and Y-INTERCEPT of the following equation. y = -x +7
With spring break approaching, Travis plans to play more 2k every day. Right nowhe plays about 40 minutes per day. He expects that number will increase by 10 minutes per day
Write an equation that shows the number of minutes of 2k played as a function of the day
Please hurry!!!! I need answer ASAP!!!!!
David wants to buy a new bicycle
that cost $295 before a 40%
discount. He finds the cost after the
discount, in dollars, by evaluating
295 – 295(0.40). His brother Michael
finds the same cost by evaluating
295(1 – 0.40). What property can be
used to justify that these two
expressions represent the same cost
after the discount?
A. associative property
B. cominutative property
C. distributive property
D. subtraction property of equality
Answer:
subtraction property for sure its that
A classmate stated, "A concave polygon be can be regular because it can have all sides congruent." Is this student's claim valid?
Why or why not?
Answer:
No.
Step-by-step explanation:
A regular polygon has all sides and angles congruent. This is not possible with a concave polygon. If the sides are congruent in a concave polygon the angles are not congruent.
Milton purchases a 7-gallon aquarium for his bedroom. To fill the aquarium with water, he uses a container with a capacity of 1 quart.
How many times will Milton fill and empty the container before the aquarium is full?
Milton will fill and empty the container __ times.