Given:
In triangle ABC, m∠A=(8x-2)°, m∠B=(2x-8)° and m∠C=(94-4x)°.
To find:
The sides of the triangle ABC in order from shortest to longest.
Solution:
In triangle ABC,
[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex] (Angle sum property)
[tex](8x-2)^\circ+(2x-8)^\circ+(94-4x)^\circ=180^\circ[/tex]
[tex](6x+84)^\circ=180^\circ[/tex]
[tex]6x+84=180[/tex]
[tex]6x=180-84[/tex]
[tex]6x=96[/tex]
Divide both sides by 6.
[tex]x=\dfrac{96}{6}[/tex]
[tex]x=16[/tex]
Now,
[tex]m\angle A=(8(16)-2)^\circ[/tex]
[tex]m\angle A=(128-2)^\circ[/tex]
[tex]m\angle A=126^\circ[/tex]
Similarly,
[tex]m\angle B=(2(16)-8)^\circ[/tex]
[tex]m\angle B=(32-8)^\circ[/tex]
[tex]m\angle B=24^\circ[/tex]
And,
[tex]m\angle C=(94-4(16))^\circ[/tex]
[tex]m\angle C=(94-64)^\circ[/tex]
[tex]m\angle C=30^\circ[/tex]
In a triangle the smaller angle has shorter opposite side and larger angle has longer opposite side.
[tex]24^\circ<30^\circ<126^\circ[/tex]
[tex]m\angle B<m\angle C<m\angle A[/tex]
[tex]AC<AB<BC[/tex]
List the sides of triangle ABC in order from shortest to longest is AC:AB:BC.
Therefore, the correct option is A.
Is -55/11 equal to -5
Is -55/-11 equal to -5
Is 55/-11 equal to -5
Is -(-55/-11) equal to -5
(2x+3) what is the value of x
Answer:
Step-by-step explanation:
I am sorry but please give detailed question
Consider the diagram.
What is the length of segment AB?
What is the GCF
of 18 and 27?
Answer:
The occurrences of common prime factors of 18 and 27 are 3 and 3. So the greatest common factor of 18 and 27 is 3 x 3 = 9.
Step-by-step explanation:
If im correct, Brainliest?
Answer:
9
Step-by-step explanation:
u can search it up lol
Ivanna deposits $500 into an account that pays simple interest at a rate of 6% per year. How much interest will she be paid in the first 2 years?
Answer:
$60 in interest
Step-by-step explanation:
To find interest, use the tried and true method of I = Prt (I is the interest, P is the principal, r is the rate, and t is the time (in years))
I = 500* 2 * 6% (What I do is go on and multiply the principal by the time)
I = 1,000 * 6% (Now to convert 6% and 1,000 into fractions)
I = 1,000/1 * 3/50 (Cross-cancel if needed here; The GCF of 50 and 1,000 is 50)
I = 20/1 * 3/1 (Just remove the /1 part here, they're wholes!)
I = 20 * 3 (Multiply and you have your answer!)
I = $60
Answer:
Ivanna after 2 years of 6% intrest will have 561.8 $ in her accout.
Step-by-step explanation:
500 times 6% can be done like 500 x 0.06 which is 30. So 530. Then 530 time the 6% which is 530 x 0.06 is 31.8. So 530 + 31.8 = 561.8$
I need help can someone help me
Answer:
it states to round to the tenths place for 1 which would be 1.5 because the 2 after is not 5 or above so it stays the same
it also goes for the rest that are stated in the problem
My answers:
2)76.27
3)23.494
4)8.3926
5)342.6
Answer:
You can easily round any number to any place using a simple rule. Look to the digit to the right of the digit you want to round to. If that digit is 5 or greater than 5, you round UP to the next higher digit. If the digit to the right of the digit you’re trying to round to is 4 or less, you leave the digit alone.
1. 1.528 = 1.5
2. 76.2714 = 76.27
3. 23.49382 = 23.494
4. 8.39261 = 8.926
5. 342.62984 = 342.6
Sue is drawing two lines on a coordinate plane. She begins the first line at the origin and ends at (4,3). She begins the 2nd line at (0,4) and ends at (3,0). Where will these lines intersect?
PLEASE HELP
The point of intersection of the lines, if The coordinates of the first line (0, 0) and (4, 3), and The coordinates of the second line (0, 4) and (3, 0), is (1.92, 1.44).
What is a line?An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.
Given:
The coordinates of the first line (0, 0) and (4, 3),
The coordinates of the second line (0, 4) and (3, 0),
Write the equation of the line as shown below,
The equation of the first line,
y - 0 = 3 - 0 / 4 - 0 (x - 0)
y = 3/4 x
4y = 3x
4y - 3x = 0
The equation of the second line,
y - 0 = (0 - 4) / (3 - 0) (x - 3)
y = -4 / 3 (x - 3)
3y = -4x + 12
3y + 4x = 12
Solve these equations,
x = 1.92 and y = 1.44
Thus, they intersect at (1.92, 1.44)
To know more about the line:
https://brainly.com/question/2696693
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Write the equation of a line that is perpendicular to the equation y=-x+4 and passes through the point (2,5)
Answer:
y=x+3
Step-by-step explanation:
perpendicular lines have slopes that are negative and reciprocal. If you multiply them together, the result is -1.
here is the equation: y=-x+4
the slope is -1
here is the equation to find the slope of the perpendicular line:
-1m=-1
multiply by -1
m=1
here is the new line so far: y=1x+b
now, we can substitute the point (2,5) into the equation, since the equation will pass through that point to find b (the y intercept)
5=1(2)+b
5=2+b
3=b
the equation of the line is y=1x+3, or y=x+3
Hope this helps!
The question is the last part says RUQ
Answer:
find the angle of the borg
Step-by-step explanation:
Answer:
cant see all of the question LOL
Step-by-step explanation:
At a book sale, all paperback books cost d dollars each and all hard books cost 2d dollars each. If Kate paid 7d dollars for 5 books at this sale, how many paperback books did she buy?
Answer:
3 paperback books
Step-by-step explanation:
Let the number of paperback Kate bought be a and the number of hard books be b.
Given that she bought 5 books then
a + b = 5
Also, If Kate paid 7d dollars then
a * d + b * 2d = 7d
Divide through by d
a + 2b = 7
Hence we have 2 equations
a + b = 5
a + 2b = 7
subtract the first from the second
2b - b = 7 - 5
b = 2
since
a + b = 5
a + 2 = 5
a = 5 - 2
= 3
Recall that the number of paperback she bought is a hence this is 3
You eam $10 per hour working as a manager at a grocery store. You are required to work at the grocery store at least 8 hours per week. You also teach music lessons for $15 per hour. You need to earn at least $120 per week, but you do not want to work more than 20 hours per week. a. Write a system of linear inequalities that represents the situation. Use z for hours worked at the grocery store and y for hours teaching music lessons. Inequality for hours at grocery store: Inequality for total earnings: Inequality for total work hours: b. Identify and interpret a solution of the system. (4, 10): You can work 4 hours at the grocery store and spend 10 hours teaching music lessons. O (9, 1): You can work 9 hours at the grocery store and spend 1 hour teaching music lessons. (12, 10); You can work 10 hours at the grocery store and spend 10 hours teaching music lessons (12, 2): You can work 12 hours at the grocery store and spend 2 hours teaching music lessons. C. Can you you work 8 hours at the grocery store and teach 1 hour of music lessons? You work 8 hours at the grocery store and teach 1 hour of music lessons.
Answer:
10x+15y≥120
Step-by-step explanation:
y/x^2 + y/x^3
perform the operation and express your answer as a single fraction
Answer:
[tex]\frac{y}{x^2}+\frac{y}{x^3}=\frac{yx+y}{x^3}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{y}{x^2}+\frac{y}{x^3}[/tex]
Let us perform the operation and express your answer as a single fraction
[tex]\frac{y}{x^2}+\frac{y}{x^3}=\frac{x^3y+x^2y}{x^5}[/tex]
[tex]=\:\frac{x^2\left(xy+y\right)}{x^5}[/tex]
[tex]=\frac{\left(xy+y\right)}{x^3}[/tex]
Therefore, we conclude that:
[tex]\frac{y}{x^2}+\frac{y}{x^3}=\frac{yx+y}{x^3}[/tex]
Find an equation for the line below:
Given the function f(x) = 8x+2, evaluate f(6),
Answer:
f(6)=50
Step-by-step explanation:
f(6)=8(6)+2
f(6)=48+2
f(6)=50
Answer: 50
Step-by-step explanation:
f(6) =8(6)+2
f(6)=48+2
f(6)=50
10 POINTS!!!!!
(06.01) Evaluate the expression 4³ ÷ (7 − 3) × 2. (4 points)
Pls Help Brainliest if your right! Show your work if you can please!
Answer:
My teacher doesnt even know it
Answer:
i think it is 6 if your in flvs
Step-by-step explanation:
Given f(x)=4x-3, find f(-2).?
Answer:
f(-2) = -11
Step-by-step explanation:
Rosie is building a wheelchair ramp that is 18 feet long and 2 feet high. She needs to install vertical support piece 6 feet from the end of the ramp what is the length of the support piece in inches
Answer:
72 inches
Step-by-step explanation:
multiply the length value by twelve.
WILL GIVE BRAINLYEST
An initial population of 293 quail increases at an annual rate of 6%. Write an exponential
function to model the quail population. What will the approximate population be after 4 years?
Answer:
f(x)=293(1.06)^x;370
The quail population after 4 years is 370
An exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the factor.
Let y represent the population of the quail after x years.
There is an initial population of 293 quail, hence a = 293. the population increases at an annual rate of 6%. hence b = 100% + 6% = 1.06
The exponential function is given by:
y = 293(1.06)ˣ
The population after 4 years:
y = 293(1.06)⁴ = 370
The quail population after 4 years is 370
Find out more on exponential function at: https://brainly.com/question/2456547
Which expression is equivalent to 12x – 8
A -4 (3x + 2)
B-2 (-6x + 4)
C 4 (3x – 8)
D) 2 (6.c + 4)
According to Euclidean geometry a plane contains at least
Answer:
According to Euclidean geometry, a plane contains at least THREE points that do not lie on the same line.
:-))
Examine rectangle JKLM, shown below.
If JN = x + 3 and JL = 3x + 1, determine which of the following values is correct
Answer:
NM = 8
Step-by-step explanation:
Given rectangle JKLM
JN = x + 3 and JL = 3x + 1
JN = 1/2JL as diagonals bisect each other and N is the midpoint of JL.
Substitute and solve for x:
x + 3 = 1/2(3x + 1)
2x + 6 = 3x + 1
3x - 2x = 6 - 1
x = 5
Find JN
JN = 5 + 3 = 8
Looking at the options, we see that
NM = JN = 8
Correct option is A
Work out the area of this circle
Answer:
50.3
Step-by-step explanation:
which of these is the smallest number & which of these is the largest number
Answer:
A) D: 4.6
B) C: 5.12
Step-by-step explanation:
A) From the given options, the smallest number is 4.6 which is option D.
Due to the fact that the decimal sides from options A to the last are; 602, 620, 666..., 600.
This is because after the number 6, the remaining digits are assumed to be zero because there is no number attached again. The one that has 6 with dot above it means that it is a recurring decimal with 6. Thus, it can't be the smallest.
B) The largest is option C which is 5.12.
Because on the decimal sides, ranking from highest to lowest we have;
120, 111..., 102, 100. A number with dot on it means recurring decimal.
Karin and Kelly colored their favorite coloring books. When they were finished, Karin had colored 9 pages and Kelly had colored 15 pages. Which ratio shows the number of pages colored by Karin to Kelly?
HUuuuurrry im on a test
(4x - 1)(3x2 + 3x – 5)
Simplify the expression to a polynomial in standard form
Answer:
12[tex]x^{3}[/tex]+9[tex]x^{2}[/tex]-23x+5
Step-by-step explanation:
A division problem is shown below.
Long division showing 368 divided by 23. First step 368 minus 230 equals 138. Second step is 138 minus 138 equals 0.
Enter numbers in the boxes below to show how to use partial products to divide.
Step 1:
group(s) what of 23 = 230.
Step 2:
group(s) what of 23 = 138.
Step 3: Add the partial quotients:
what + what = what
Answer:
16
Step-by-step explanation:
a, 10
Group of 10 23s gives us 230. This is so because of you arrange 23 in groups, you would need to arrange it in 10 places, to get 230.
b, 6
Group of 6 23s gives 138. Again, like stated above, arranging 23 in 6 places ends up giving us a total of 138.
Adding both together, we have
10 + 6 = 16.
This means our answer is 16. And this is rightly so. Dividing 368 by 23 gives us 16 exactly. So, 16 is the answer.
Simplyfy 18x5y5+2x5y
Answer:
more than 3 I think
Step-by-step explanation:
Fatima conducts emissions inspections on cars. She finds that 6%, percent of the cars fail the inspection. Let C be the number of cars Fatima inspects until a car fails an inspection. Assume that the results of each inspection are independent.
Required:
Find the probability that the first failed inspection occurs on Fatima's 5th inspection.
Answer:
.05
Step-by-step explanation:
khan
The probability that the first failed inspection occurs on Fatima's 5th inspection is to be considered as the 0.05.
Calculation of the probability;
Since
Here x follow geometric (0.06)
So it can be like
p(x=4)
[tex]=0.94^4\times 0.06[/tex]
= 0.05
Hence, The probability that the first failed inspection occurs on Fatima's 5th inspection is to be considered as the 0.05.
Learn more about probability here: https://brainly.com/question/24442276
Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x – 3)?
Answer:
x-intercepts:
(-6,0) and (3,0)
Step-by-step explanation:
x-intercept is when y=0
(0,-6) and (0,3)
Step-by-step explanation:
(0,-6) and (0,3) because the x intercept is when y=0 and if you want y to equal 0 one of the 2 parenthesis's values should equal 0 there are 2 answers because even if one of the parenthesis equals 0 the other one that is multiplied by it no matter what the value of that is equals 0. For example take (x+3)(x-4) one way to make this 0 would be for x to equal -3 or +4.
A barbeque restaurant serves four meats brisket chicken ribs and turkey how many two meat combo can be served for the luncheon plate
Answer:
Step-by-step explanation:
6
