PLEASE HELP!! WILL MARK BRAINLIEST! THANK YOUUUU
An equilateral triangle has a side length of 40.
Another side of the same triangle measures 3x + y.
The third side of the same triangle measures 4x - 2y.
What are the values of x and y that would keep the triangle equilateral?
Answers
Answer:
x=12
y = 4
Step-by-step explanation:
3x + y = 4x - 2y
x = 3y
y= 1/3x
3x + y = 40 3x + y = 40
3(3y) + y = 40 3x + (1/3x) = 40
9y + y =40 10/3x = 40
10y = 40 x = 12
y= 4
Answer:
We know that all sides of the equilateral triangle is equal.
Given :---
An equilateral triangle has a side length of 40.
Another side of the same triangle measures
3x + y.
The third side of the same triangle measures
4x - 2y.
According to the above problem, the equation are
3x+y=40........(i) and 4x-2y=40.........(ii)
Divide the equation (ii) by 2, we get
2x-y=20..........(iii)
Now solving for x and y we get,
3x+y=40.......(i)
2x-y=20........(iii)
5x =60
x=60/5
x=12
Putting the value of x in equation in equation (iii) we get
24-y=20
y=24-20
y=4
The values of x and y that would keep the triangle equilateral are 12 and 4 respectively.
Hence, the value of x is 12 and y is 4.Related Questions
Given the following sets, find the set .
U{1, 2, 3, . . ., 7}
A{1, 3, 4, 5}
B{2, 3, 5}
C{1, 2, 3, 4, 6}
Answers
Could someone answer and explain. Will mark the brainliest
Answers
Answer: I think you’re right??
Step-by-step explanation:
a+1.6=2.1
Can someone help me with this and can you also do the work to it that would be nice (:
Answers
Answer:
its 0.5
Step-by-step explanation:
just subtract 2.1 and 1.6
You have to bring the +16 over to the other side of 2.1 and turn the positive sign (+) into a negative (-)ex: 2.1 - 1.6
Now you have to subtract 1.6 from 2.1
So write:
2.1 - 1.6
a = 0.5
2. The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.36, the analogous probability for the second signal is 0.54, and the probability that he must stop at at least one of the two signals is 0.65. What is the probability that he must stop at exactly one signal?
Answers
Answer:
0.30
Step-by-step explanation:
Probability of stopping at first signal = 0.36 ;
P(stop 1) = P(x) = 0.36
Probability of stopping at second signal = 0.54;
P(stop 2) = P(y) = 0.54
Probability of stopping at atleast one of the two signals:
P(x U y) = 0.6
Stopping at both signals :
P(xny) = p(x) + p(y) - p(xUy)
P(xny) = 0.36 + 0.54 - 0.6
P(xny) = 0.3
Stopping at x but not y
P(x n y') = P(x) - P(xny) = 0.36 - 0.3 = 0.06
Stopping at y but not x
P(y n x') = P(y) - P(xny) = 0.54 - 0.3 = 0.24
Probability of stopping at exactly 1 signal :
P(x n y') or P(y n x') = 0.06 + 0.24 = 0.30
need help fast im giving 20 points
Answers
Answer:
c
Step-by-step explanation:
On a treasure map, a X is placed at point (9, -7). if the pirates are currently on point (9,3), how many units away are they?
Answers
Answer:
They are 10 units away from the treasure
Step-by-step explanation:
Notice that the points (9, -7) and (9, 3) are both located at the same x-value (9) while their y-values are in one case 3 units above the x-axis, and in the other 7 units BELOW the x-axis. Therefore thy differ by 3 - (-7) units , which totals 10 units.
a car can drive 165 miles in 5 hours. how many yards can thee car travel in a hour
Answers
Answer:
33
Step-by-step explanation:
because 165 divided by 5 is 33 and if you add 33 5 times it gives you 165
Answer:
58080 Yards
Step-by-step explanation:
165/5 = 33 miles an hour
33 miles an hour ~ 58080 yards an hour
which expression is equivalent to 7a-8-12a+4
Answers
Answer:
-5a-4
Step-by-step explanation:
7a-8-12a+4
7a-12a-8+4
=-5a-4
After four rounds, 74 teams are eliminated from a robotics competition. There are 18 teams remaining. Write and solve an equation to find the number of teams t that started the competition.
Answers
This question has 2 parts. Please explain everything you did in order to answer the second question!
Answers
Answer:
41.8 unitsStep-by-step explanation:
Property of the kite: diagonals are perpendicular
PQ = PS = √10²+6² = √136 = 11.7 roundedRS = RQ = √6²+7²= √85 = 9.2 roundedPerimeter is the sum of the side lengths:
P = 2*(11.7 + 9.2) = 41.8Given that line AD ll to line EH, find the measure of
Answers
Answer:
x=7.5
Step-by-step explanation:
Since AD II EH, ∠CBD=∠BFH (alternate angles)
2x+60=10x
8x=60
x=7.5
Answer:
x = 7.5
each angle measures 75°
Step-by-step explanation:
the two angles are corresponding, meaning they are equal
10x = 2x + 60
8x = 60
x = 7.5
Jonnell has finished 20% of an art project that taken him a total of 3 hours so far. If he continues to work at the same rate, how many hours will it take for him to complete the entire project?
Answers
usebthe elimination method to solve the following system of equations
4x+y=13
5x-y=5
Answers
Answer:
x = -2, y = 21
Step-by-step explanation:
Let 4x + y = 13 to be equation1 {eqn1}
and let 5x - y = 5 to be equation2 {eqn2}
Using elimination method, you would try to make sure a particular unknown has the same value in both equation 1 and 2. This would make it easy for you to subtract one equation from the other.
Notice how the value of y is the same in both equations. That's a good sign.
But the signs aren't the same. Meaning y in eqn1 has a value of +1, and y in eqn2 has a value of -1. We need to make them similar.
So, we multiply the value of y in eqn1 by all the terms in eqn2. And, do pretty much the same thing by multiplying the value of y in eqn2 by all the terms in eqn1.
You would have:
-1 * (4x + y = 13)
+1 * (5x - y = 5)
This would result in;
-4x - y = -13 (eqn3)
5x - y = 5 (eqn4)
So, just subtract eqn3 from 4
You would have;
(5x - -4x) + (-y -- y) = (-13 - 5)
9x + 0 = -18
x = -18/9 = -2
and to find y;
just substitute the value of x into any of the 4 equations. let's try equation 1
Therefore;
4(-2) + y = 13
-8 + y = 13
y = 13 + 8 = 21
¾+(⅓÷⅙)-(-½)=( ) need help with this question
Answers
Answer:
3.25 or 3 1/4
Step-by-step explanation:
Remove the parentheses first: 3/4 + (1/3 / 1/6) - (-1/2)
1/3 / 1/6 turns into 1/3 * 6
Reduce the numbers:
3/4 + (1/3 * 6) + 1/2
cross multiplication, 6 divided by 3 = 2.
So the new equation is 3/4 + 2 + 1/2
Then you calculate.
3/4 + 2 + 1/2 = 13/4
13/4 reduced is 3 1/4 or 3.25
How many phone numbers (without area codes) are possible? The first digit cannot be 0 or 1.
Answers
Answer:
Step-by-step explanation:
For the first digit, there are 8 numbers to choose from (2, 3, ..., 9).
For each remaining digits, there are 10 numbers to choose from (0, 1, ..., 9).
Choose 6 of them. Repetition is allowed, and order matters.
There are 10⁶ possible choices.
There are 8×10⁶ possible phone numbers.
Sara has 2 pounds of chicken. She uses 5 ounces of chicken while cooking. How can you determine the mass of chicken that she has left?
Answers
Answer: 27 ounces of chicken.
Step-by-step explanation:
Sara has 2 pounds of chicken.
She uses 5 ounces of chicken.
So now, she has:
(2 pounds - 5 ounces ) of chicken.
To perform this subtraction, we first need to write bot quantities in the same units.
First, we know that:
1 pound = 16 ounces.
Then we can rewrite 2 pounds, this is equal to 2 times 16 ounces.
2 pounds = 2*16 ounces = 32 ounces.
Then initially she has 32 ounces, and she uses 5 ounces.
Now she has:
(32 ounces - 5 ounces) = 27 ounces of chicken
4x-6+x+6. But if the x was 8 what would it add up to
Answers
Answer:
40
Step-by-step explanation:
What is the equation of the line that contains point (6, 4) and is parallel to line m?
A) y=-2x+16
B)y=2x-8
C)y=-1/2x+7
D)y=1/2x+1
PLEASE HELPPP !!
Answers
Answer:
d?.............................
Marcus rolled a number cube and recorded his results in the table. What is the experimental probability that the next roll is a five? Round your answer to the nearest whole percent.
Answers
Answer:
The probability is 13.33%
Step-by-step explanation:
Probability
The probability of an outcome is defined as the frequency of the number of times the outcome occurs (f) relative to the number of times that it could have occurred (n).
The formula to calculate the probability is:
[tex]\displaystyle P=\frac{f}{n}[/tex]
Marcus rolled a number cube and the results are recorded in a table where it can be noted that the number five rolled f=24 times. The total number of trials is n=30+45+30+28+24+23=180.
The probability that the next roll is a five is:
[tex]\displaystyle P=\frac{24}{180}[/tex]
Simplifying:
[tex]\displaystyle P=\frac{24}{180}[/tex]
[tex]\displaystyle P=\frac{2}{15}[/tex]
Dividing:
[tex]\displaystyle P=0.1333 = 13.33\%[/tex]
The probability is 13.33%
calculate a²b+a³b/a²b²
Answers
Step-by-step explanation:
a³+a²b+ab²+a³b+a²b²-a²b-ab²-b³-a²b²+ab³ = 2/3 ... plus 3Y is equal to 11 find the point where it presented by the equation cuts Y and X axis.
1 answer
What expression is not equivalent to 8 + (n - 4)?
A. (8 + n) - 4
B. n + 4
C. 12 + n
D. (8 - 4) + n
Answers
PLEASE HELP ME!!! Find the area of the shaded region.
Answers
The answer is 36 because you have one side of the shaded region telling us it’s 9cm and there are 4 shaded sides so there for 9 x 4= 36. Hope this helps!
3(t-2)
Expand equation
Answers
Answer:
[tex]3(t - 3) \\ 3t - 9[/tex]
this is your answer
Can someone help me please
Answers
Answer:
90,56,7867,45,89,45,24,67
Three out of nineteen students will ride in a car instead of a van. How many ways can those three students be
chosen? Use the following formula.
n!
r
C(n, r) = r!(n-1)!
Answers
What is the value of x?
Answers
Answer:
4
simplied=2
Step-by-step explanation:
10²=8²+x²
10²=8²-x²
20=16-x²
x²=4
Simplied=2
2x+5 = 11
What is x in this equation
Answers
Answer:
x=3
Step-by-step explanation:
Subtract 5 from both sides:
2x=6
Divide both sides by 2:
x=3
Answer:
3
Step-by-step explanation:
2x+5=11
subtract 5 from both sides of the equation
2x=6Then divide by two to both sides of the equation
x=3Which of the following sets of possible side lengths forms a right triangle?
11, 60, and 61
6, 12, and 13
9, 40, and 45
12, 35, and 38
Answers
Answer:
Which of the following sets of possible side lengths forms a right triangle?
11, 60, and 61✓6, 12, and 13
9, 40, and 45
12, 35, and 38
Step-by-step explanation:
[tex] \sqrt{ {11}^{2} + {60}^{2} } \\ = \sqrt{121 + 3600} \\ = \sqrt{3721} \\ = \sqrt{ {61}^{2} } \\ = 61[/tex]
11, 60 and 61 is the right answer.Find a linear equation whose graph is the straight line with the given property.
Through (0.5, -2.25) and (1, -5.25)
Answers
Answer:
Step-by-step explanation:
-5.25+2.25 - 3
1-0.5 = 0.5
=-6 =m
y=-6x
American Sign Language
In general, Deaf culture is more open about honestly expressing emotion than other cultures.
a. True
b. False
Answers
Answer:
false ignore this I needed to write something else to hand it in