Answer:
[tex]x=9, AB=BC=AC=35[/tex]
Step-by-step explanation:
Equilateral triangles have 3 congruent sides, so all 3 sides have the same length. Therefore, we know that [tex]AB=BC=AC[/tex]. We are given the lengths of all 3 sides in terms of [tex]x[/tex], but we only need to set two of them equal to each other to solve for [tex]x[/tex]. Let's use [tex]AB[/tex] and [tex]BC[/tex] to solve for [tex]x[/tex]. We know that [tex]AB=BC[/tex], [tex]AB=2x+17[/tex], and [tex]BC=6x-19[/tex]. Therefore, we can write the following equation to solve for
[tex]AB=BC\\2x+17=6x-19[/tex] (Substitute given values into equation)
Solving for [tex]x[/tex], we get:
[tex]2x+17=6x-19\\2x+17-17=6x-19-17[/tex] (Subtract [tex]17[/tex] from both sides of the equation to isolate constants)
[tex]2x=6x-36[/tex] (Simplify)
[tex]2x-6x=6x-36-6x[/tex] (Subtract [tex]6x[/tex] from both sides of the equation to isolate [tex]x[/tex])
[tex]-4x=-36[/tex] (Simplify)
[tex]\frac{-4x}{-4}=\frac{-36}{-4}[/tex] (Divide both sides of the equation by [tex]-4[/tex] to get rid of [tex]x[/tex]'s coefficient)
[tex]x=9[/tex] (Simplify)
Therefore, [tex]AB=2x+17=2*9+17=18+17=35[/tex], and [tex]AB=BC=AC=35[/tex]. Hope this helps!
Help please I need answers in less than 35 mins
Answer:
8. Flour = 150 grams
9. Original sum of money = 110 pounds
Step-by-step explanation:
8. Let the quantities of butter, flour and sugar be 2x, 3x and 4x grams respectively.
So,
2x + 3x + 4x = 450
9x = 450
x = 450/9
x = 50
Flour = 3x = 3*50 = 150 gram
9.
Let Abby, Neil and Dylan have 2x, 4x and 5x pounds respectively.
Since Neil has 40 pounds.
So, 4x = 40
x = 40/4
x = 10
Total amount = 2x + 4x + 5x = 11x = 11*10 = 110 pounds.
Original sum of money = 110 pounds
What is the opposite of negative seven?
Answer: 7 is the opposite of negative 7
Step-by-step explanation:
Hope this helps :)
HELP ME!!!
For which equation would x = 4 be a solution?
2 x + 7 = 22
2 x + 8 = 4
8 - 3 x = 20
6 x ÷ 8 = 3
Answer:
Hi.. Your answer is last...
6x/8=3
Answer:
6 x ÷ 8 = 3
Step-by-step explanation:
I got it correct on the lesson and I got a 100% on it as well
two boys decided to share their profits from a car wash job at a ratio of 2:3 how much will each boy receieve if their total profit is 35
Answer: Profit for first boy = $14
Profit for second boy = $21
Step-by-step explanation:
Given : Ratio of profits = 2:3
Let profit for one boy = 2x and for another boy = 3x
Since combined profit = $35
Then, 2x+3x= 35
⇒ 5x= 35
⇒ x= 7 [divide both sides by 5]
Profit for first boy = 2 (7)= $14
Profit for second boy = 3 (7)= $21
marys age is 2 upon 3 that of peters age. two years ago marys age was 1 upon 2 of whats peters age will be in 5years time. how old is peter now plzz
Answer:
the Peter age be 27
Step-by-step explanation:
Let assume peter be
And, then mary is 2p ÷ 3
So
The equation would be
2p ÷ 3 - 2 = 1 ÷ 2 (p + 5)
4p - 12 = 3p + 15
p = 27
So Peter age be 27
And, the mary age is
= 2 (27) ÷ 3
= 18
Hence, the Peter age be 27
!!PLEASE ONLY ANSWER IF U ACTUALLY KNOW!! GRAPHING!!
Answer:
-3/5 rise over run left doen arenegative right up are positive
Answer:
I think -5/3.............
teachers drive a mini-van. what percentage of the teachers drive a mini-van? (6.5B*) There are 60 teachers at Smith Middle School. Of these teachers, 8 female teachers and 4 male 8
A.20%
B.12%
C.60%
D.72%
Number 8 I need help plz
Please help due soon will give brainliest
Answer:
The intersect point 4,3 H
Step-by-step explanation:
Hope this helps. Have a fantastic day!
Is 4/6 larger than 5/3
Answer:
no 5/3 is larger
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
5/3 is a improper fraction, therefore it is bigger.
HELP PLS FASTT IM ON A TEST AND I DONT EVEN GET THIS Gabriel has a card collection with 32 baseball cards 16 football cards and 24 by basketball cards he wants to arrange the cards in equal piles with only one type of car in each pile how many cards can you put in each pile
Answer:
16 cards.
Step-by-step explanation:
Answer:
Someone do the Question!!!
Step-by-step explanation:
Hi! Can you please help me with this question? Thanks!
Answer:
x ≤ 2
Step-by-step explanation:
if it is a close circle you use ≤ ≥
if it is an open circle you use < >
if the line is going to the left it is less than
if the line is going to the right it is more than
Answer:
the second one, x ≤ 2
Step-by-step explanation:
since the graph is going to less than two and there is big shaded circle in 2 which means "less than or equals to 2 " is the answer
Error Analysis A student incorrectly simplified the
expression below as shown in the image
Answer:
Put the a with the b
Step-by-step explanation:
What is 3х – 18y = 4
The answer is no solution
Mr. Rojas spent d dollars to go on vacation. He bought a plane ticket for $250 and stayed in a hotel for 5 nights. If the cost of the hotel room was the same each night, what expression can be used to find how much Mr. Rojas paid each night for the hotel?
Answer:
x = d/5 - $50
Step-by-step explanation:
Basiclly what this sentence is saying that the price d is equal to $250 + 5 prices of staying in a hotel for a night.
If we let "x" be the price per night then we can get the following..
d = $250 + 5x
5x = d - $250
[tex]x = \frac{d - 250}{5}[/tex]
x = d/5 - $50
What is the volume of this rectangular prism?
3 units
1 cubic unit
3 units
Answer:
Step-by-step explanation:
3x3x3 is 46 than 46 _ 4 is 57
The answer is 27 units
What is the Volume of Rectangular Prism?The volume of a rectangular prism is defined as the space occupied within a rectangular prism. A rectangular prism is a polyhedron that has two pairs of congruent and parallel bases. It has 6 faces (all are rectangular),12 sides, and 8 vertices. As the rectangular prism is a three-dimensional shape (3D shape), the unit that is used to express the volume of the rectangular prism is cm3, m3 and so on.
Given here: The dimensions as 3,3,3
Thus the volume is = 3³
=27
Hence, The answer is 27 units
Learn more about prisms here:
https://brainly.com/question/29722724
#SPJ2
I need help with this
Answer:
B is ur answer! Divide 8 by 3
Step-by-step explanation:
PEMDAS
The graph shows the number of points, y, a player earns in a balloon game based on the number of balloons the player pops, x.
Which of the following are the dependent quantities?
a
1, 2, 3, 4, 5, 25, 50, 75, 100, 125
b
1, 2, 3, 4, 5
c
25, 50, 75, 100, 125
d
25, 1, 50, 2, 75, 3, 100, 4, 125, 5
Answer:
C is the answer
they're dependent because they're the y-values. the y-values in this graph are dependent on the x-values. how many points you earn in total, is dependent on how many balloons are popped.
Step-by-step explanation:
I hope this helps :))
☆15 points☆ select all that apply!
Find the area of the rhombus.
Answer:
Area = 90
Equation:
See attached image for equation.
A circle has a radius of 4 feet. What is the radius of a bigger circle if the scale factor of the smaller to bigger is 4:9
Answer:
9 feets
Step-by-step explanation:
From the question, we have our scale factor as:
4:9 = 4/9
Smaller circle /Bigger circle = 4/9
A circle has a radius of 4 feet. What is the radius of a bigger circle?
Let the radius of the bigger circle = x
This is calculated as:
4/9 = 4/x
Cross Multiply
4x = 9 × 4
x = 36/4
x = 9 feet
Therefore, the radius of the bigger circle is 9 feet
A fertilizer covers 6 square feet in 2 hours. What is the unit rate?
Jack is looking to purchase a new video game. He finds a 25% off coupon for a store that sells the video game he wants. If the original price of the video game is $65, how much will Jack pay after the discount?(do not worry about sales tax)
PLEASE HELP ME!!!
Answer:
16.25
Step-by-step explanation:
Answer:
48.75
Step-by-step explanation:
Solve for p. i = prt
Answer:
p=i/rt
Step-by-step explanation:
its p= i over rt
Alice has total of 12 dimes and nickels she has 2 more nickels than dimes .which equation represents the given problem situation
Answer
A i think
Good luck have an amazing day
The residents of a city voted on whether or not to raise property taxes. The ratio of yes votes to no votes was 4 to 3. If there were 1716 no votes, what was the total number of votes?
Which expression is modeled by this arrangement of tiles?
30 positive tiles are divided into 3 sets of 10 positive tiles.
30 divided by (negative 30)
30 divided by (negative 3)
30 divided by 3
30 divided by 30
Answer:
30
Step-by-step explanation:
alot of 3's
Answer:
Its letter C have a good day :)
Step-by-step explanation:
could you help me with this plz
Answer:
D. 797,481
Step-by-step explanation:
So, with the number 653,841, the number that is in the hundreds place is 8, meaning that the number is 800. So now, since you have to find 1/10 of the value, you have to divid it by 10, giving you 80. Now, looking at the answers, you have to find the number with 8 in the tens place, which is D.
ten less than a number is at least -8. Solve the inequality.
Answer:
[tex]x - 10 \geqslant - 8 \\ x \geqslant 2 \\ [/tex]
At the craft store, Kenji bought a bag of brown and blue marbles. The bag contained 60 marbles, and 40% of them were brown. How many brown marbles did Kenji receive?