Answer: A=30 degrees, B=60 degrees, C=90 degrees
Step-by-step explanation:
B=2A
C=3A
A+B+C=180
A+2A+3A=180
6A=180
A=30 degrees
B=2A
B=2(30)
B=60 degrees
C=3(30)
C=90 degrees
Answer:
Angle A = 30°
Angle B = 60°
Angle C = 90°
Step-by-step explanation:
Let x represent the measure of A. Using this information, we can figure out the measure of B and C in terms of x.
Since B is twice the measure of A, then it would be 2x. Similarly, C is three times the measure of A, thus it would b 3x.
We also know that the sum of the angles is 180 degrees. We can use this information to set up an equation.
Setting up an EquationWe know that:
Angle A + Angle B + Angle C = 180
Substituting the values we gave for A, B, and C, we find:
x + 2x + 3x = 180
Now, we solve the equation for x.
Solving the EquationStart by combining like terms:
6x = 180
Now, divide both sides by 6:
x = 30
Since we know the value of x, we can find the values of the angles.
Finding the Values of Each AngleA = x = 30°
B = 2x = 60°
C = 3x = 90°
Two trains leave stations 504 miles apart at the same time and travel toward each other. One train travels 95 at miles per hour while the other travels at 85 miles per hour. How long will it take for the two trains to meet? Do not do any rounding.
Answer:
Step-by-step explanation:
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Solve the following equation.
(90-x)-x=18
Answer:
x = 36
Step-by-step explanation:
In the figure below, m1=8x° and m2 = (x-9)°.
Find the angle measures.
1
1 2
Answer:
<1 = 168
<2 = 12
Step-by-step explanation:
First, you need to solve for x
8x + x -9 = 180
9x -9 = 180
9x = 189
x = 21
Now, substitute in 21 for x for both angles
8(21) = 168
(21) - 9 = 12
marvin was completing the square, and his work is shown below. identify the line where he made his mistake. (2 points) f(x)
He made the mistake on line 1.
2x^2 - 8x + 5....move the 5 to the other side
2x^2 - 8x = -5....now divide by 2
x^2 - 4x = -5/2
x^2 - 4x + 4 = -5/2 + 4
(x - 2)^2 = -5/2 + 8/2
(x - 2)^2 = 3/2
x - 2 = (+-)sqrt 3/2
x = 2 + sqrt 3/2 or x = 2 - sqrt 3/2
He made mistake on line 1.
Complete question -Marvin was completing the square, and his work is shown below. Identify the line where he made his mistake. f(x) = 2x2 − 8x + 5. Line 1: f(x) = 2(x^2 − 8x) + 5 Line 2: f(x) = 2(x^2 − 8x + 16) + 5 − 32 Line 3: f(x) = 2(x − 4)^2 − 27
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(3.85 x 103) - (1.4 x 102) In scientific notation I need ASAP plss
Answer:
Step-by-step explanation:
x^10
Solve the following proportion.
x/-8 = 12/6
A -12 B -14
C -16 D -18
Step-by-step explanation:
Multiply both sides of the equation by 24, the least common multiple of −8,6
−3x=4×12
Multiply 4 and 12 to get 48.
−3x=48
Divide both sides by −3.
x= −3/48
Divide 48 by −3 to get −16.
The answer is x=−16
Question Write an absolute value equation that has the solutions x=2 and x=9
Absolute value equation that has the solutions x=2 and x=9 is |x - 5.5| = 3.5
5.5 is the mid-point between 2 and 9: (2+9)/2=5.5and the equation says that the points x= 2 and x= 9 are equally remoted at the distance of 3.5 from their mid-point.3.5 is the half of the distance 9-2 = 7 between the given points (the given values) x= 2 and x= 9.absolute value equation is |x - 5.5| = 3.5
Generalizations of the absolute cost for actual numbers arise in a huge form of mathematical settings. as an example, an absolute value is likewise defined for the complicated numbers, the quaternions, ordered jewelry, fields and vector spaces. absolutely the price is closely associated with the notions of value, distance, and norm in numerous mathematical and bodily contexts.
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is 47.2 greater than 47.197?
Answer:
Yes.
Step-by-step explanation:
Think of it this way,
0.2 = 200
0.197 = 197
200 > 197
abigail wanta to find three consecutive even integers whose sum is four times the smallest of those integers. she lets n represent the smallest integer, then writes this equation n + (n + 2) + (n + 4) = 4n
Step-by-step explanation:
first add all the n together
3n and 4n
add those together too
7n
now add 2+4
6 now
7n\-7n =6/-7n = -1n
Which of the following graphs are functions? Select all that apply.
A
C
E
B
D
F
The graphs that could be functions from the graphs shown in the question are A and E.
What is a function?
A function is a mathematical rule. We know that a graph is a plot of data on the cartesian coordinates. The cartesian coordinates are x and y. The x axis is the vertical axis while the y axis is the horizontal axis.
Now we can see that there are bout six plots and we need to determine which of the plots does correspond to a function. We shall now look over the graphs to see how they correlate with functions.
It is clear that the graphs that could be functions from the graphs shown in the question are A and E.
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In 34,65/2,31,59/2 which term is 16?
Answer:
8
Step-by-step explanation:
Answer:
none is
Step-by-step explanation:
Fill in the missing parts in the equivalent forms:
6/9 = blank/6
Answer:
9
Step-by-step explanation:
what is the greatest commen factor of 392
Answer: it's 3 love
Answer: 392
Step-by-step explanation: all the common factors are
1,2,4,7,8,14,28,49,56,98,196,392 so the greatest would be 392
hope this was helpful- hailey <3 :)
find the direction cosines and direction angles of the vector. (give the direction angles correct to the nearest tenth of a degree.)
The direction cosines of the vector r with direction angles α, β, γ to the x, y and z axis are
cosα = x/r = 3√2/10cosβ = y/r = 4√2/10 and cosγ = z/r = √2/2So, the direction angles are
α = cos⁻¹(x/r) = cos⁻¹(3√2/10) = 64.9°β = cos⁻¹(y/r) = cos⁻¹(4√2/10) = 55.6° and γ = cos⁻¹(z/r) = cos⁻¹(√2/2) = 45°How to find the direction cosines and direction angles of the vector?Given a vector r = xi + yj + zk where
x, y and z are the components of the vector in the x, y and z directions. and r = √(x² + y² + z²)The direction cosines of the vector r with direction angles α, β, γ to the x, y and z axis are
cosα = x/r, cosβ = y/r and cosγ = z/rSo, their direction angles are
α = cos⁻¹(x/r), β = cos⁻¹(y/r) and γ = cos⁻¹(z/r)As an example, let r = 3i + 4j + 5k
So, r = √(x² + y² + z²)
= √(3² + 4² + 5²)
= √(9 + 16 + 25)
= √50
= 5√2
The direction cosines of the vector r with direction angles α, β, γ to the x, y and z axis are
cosα = x/r = 3/5√2 = 3√2/10cosβ = y/r = 4/5√2 = 4√2/10 and cosγ = z/r = 5/5√2 = 1/√2 = √2/2So, the direction angles are
α = cos⁻¹(x/r) = cos⁻¹(3√2/10) = cos⁻¹(0.4243) = 64.9°β = cos⁻¹(y/r) = cos⁻¹(4√2/10) = cos⁻¹(0.5657) = 55.6° and γ = cos⁻¹(z/r) = cos⁻¹(√2/2) = cos⁻¹(0.5657) = 45°Learn more about direction cosine here:
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a builder wants to install hardwood flooring in a dining room of length 8.68 m and width 6.1 m. what is the area of the room (in m2)?
Answer:
52.948 m²
Step-by-step explanation:
→ State the formula for the area
length × width
→ Substitute in the numbers
8.68 × 6.1 = 52.948 m²
how to solve this with steps?
Answer:
you don't
Step-by-step explanation:
this is at it's simplest form, tell your teacher that or if its online answer, talk to your tutor or teacher
Consider the quadratic polynomial ax 2 bx c. suppose the coefficients are given by rolling a fair die three times. what is the probability that the roots of the polynomial are equal?
Complete the square to write
ax² + bx + c = a (x + b/(2a))² - (b² - 4ac)/(4a)
The quadratic has a double root at x = -b/(2a) if the constant term (b² - 4ac)/(4a) vanishes, which happens if b² - 4ac = 0.
Let A, B, and C be random variables representing the value of the first, second, and third roll of the die. They are independent and identically distributed with PMF
Pr [X = x] = 1/6
if x ∈ {1, 2, 3, 4, 5, 6}, and 0 otherwise.
We want to find
Pr [B² - 4AC = 0]
Note that
B² - 4AC = 0 ⇒ B² = 4AC ⇒ (B/2)² = AC
which tells us that B must be even, and also that AC is a perfect square. Then there are 5 possible outcomes that satisfy the conditions:
• If B = 2, then AC = 1 ⇒ A = C = 1
• If B = 4, then AC = 4 ⇒ A = 1, C = 4 or A = C = 2 or A = 4, C = 1
• If B = 6, then AC = 9 ⇒ A = C = 3
and there are 6³ = 216 total possible outcomes in the sample space. So,
Pr [B² - 4AC = 0] = 5/216
the table shows the total cost of different numbers of square feet of carpet.
what is the rate of change in dollars with respect of the number of square feet purchased for this linear relationship
The rate of change is $7 per one square feet.
What is the rate of change?In order to determine the rate of change, the difference between each successive cost would be divided by the difference in each successive size.
Rate of change = change in cost /change in size
(980 - 840) / (140 - 120)
140 / 20
= $7
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what is the area of rectangle wxyz with vertices wleft-parenthesis 0 comma 1 right-parenthesis, xleft-parenthesis 3 comma 4 right-parenthesis , yleft-parenthesis negative 1 comma 8 right-parenthesis, zleft-parenthesis negative 4 comma 5 right-parenthesis to the nearest unit?
The area of the rectangle will be 24sq, units.
How can we calculate the area of the rectangle?To determine the area of various polygons, there exist specialized formulae. The general formula for rectangles is as follows:
A = width x length
Given, the coordinates of the rectangle are W(0,1), X(3,4), Y(-1, 8), Z(-4,5)
So the length of rectangle will be = distance between W and X will be -
⇒[tex]\sqrt{(3 - 0)^{2} + (4-1^{2}) }[/tex]
⇒[tex]\sqrt{18}[/tex]
The breadth of rectangle will be = distance between X and Y
⇒ [tex]\sqrt{(3 + 1)^{2} + (8-4)^{2} }[/tex]
⇒ [tex]\sqrt{32}[/tex]
Now, area of rectangle = length × breadth
⇒ [tex]\sqrt{18}[/tex] × [tex]\sqrt{32}[/tex]
⇒ 24 sq. units
So, the area of the rectangle will be - 24 sq. units
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Easy age problems about basic algebra
Answer: for sure
Step-by-step explanation:
Answer: How do you solve age problems in algebra?
If the age of a person is 'x', then 'n' years after today, the age = x + n. Similarly, n years in the past, the age of this would have been x – n years. Answer: Suppose that the present age of the son is = x years. Then the father's age is (60 -x) years.
Step-by-step explanation: hope this helpss!!!
find the interesection if possible: ( − 1 , 6 ] ∩ [ − 3 , 4 ] . express your answer in interval notation.
The intersection of the sets written in interval notation is -1 ≤ x ≤ 4
What is interval notation?Interval notation is a mathematical method or way of writing subsets of the real number line.
It also helps in telling the part of the number line, from left to right, that is included in the solution.
Given the sets;
( − 1 , 6 ] ∩ [ − 3 , 4 ]
(-1, 4) is the intersection of the sets
In interval notation, it is written as;
-1 ≤ x ≤ 4
Thus, the intersection of the sets written in interval notation is -1 ≤ x ≤ 4
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point m is the midpoint of segment kl. point n is the midpoint of segment ml. a line with the points of k, l, m, and n, in which point m is the midpoi
The second point on the line k,m,n,l is where the midpoint, m, is found by adding kl to the equation.
What do you mean by the segment's midpoint?A segment's midway is the point on a reference line where two congruent segments meet. The segment's midpoint seems to be the point located halfway between the ends of two segments.
According to the given information:The midpoint is the point on the section that lies halfway between the endpoints.
A line segment's midpoint can be calculated by using two endpoints (x1, y1) and (b, c) (x2, y2).
Add all of the x coordinates together and divide by two to determine the x coordinate of the midpoint.
Add all of the y-coordinates together and divide by two to get the y value of the midway.
It is critical to understand that a midpoint is indeed the midpoint of a line segment.
m = ((x + X)/2,(y + Y)/2) then determines the midpoint m.
We must demonstrate that the distance between m and l is equal to the distance between m and k and that this value is half the distance from k to l to show that m is, in fact, the midpoint of the horizontal line kl.
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point m is the midpoint of segment kl. point n is the midpoint of segment ml. a line with the points of k, l, m, and n, in which point m is the midpoint?
Find the midpoint of the points. B (-2, -4) and C (-4, -7)
Answer:
-3, -11/2
Step-by-step explanation:
Look up "midpoint formula"
What is the value of x?
Answer:
x = 7
y = 3
Step-by-step explanation:
Because the opposite side, Line segment QR, is 11. So, you need to find a number that when multiplied by 2 and then subtracted by 3 is equal to 11.
First, I just guessed, that 7 times 2 is 14, and then minus 3 is equal to 11
Here is how I worked it out:
2x-3=11
2x=14
x=7
8y+5=6y+11
2y=6
y=3
The value of the variable x and y will be 7 and 3, respectively.
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
The rectangle PQRS is shown.
From the rectangle PQRS, the side PQ and RS are congruent. And the side PS and QR are also congruent.
PQ = SR
6y + 11 = 8y + 5
2y = 6
y = 3
PS = QR
2x - 3 = 11
2x = 14
x = 7
The value of the variable x and y will be 7 and 3, respectively.
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Find. 5.3 • 10 to the power of 3 - 8 • 10 to the power of 2.
Express you answer in scientific notation
Answer: 568000
Step-by-step explanation:
PLSSS HELP IF YOU TURLY KNOW THISS
5:43 pm ----What is 1 hour and 30 minutes more of this? (I mean, what time will it be?)
Answer:
7:13
Step-by-step explanation:
5:43
1 hour from 5:43 will be 6:43
17 mins from 6:43 will be 7:00
13 mins from 7:00 will be 7:13
1. If AJKL APQR, which one of these is not a pair of corresponding parts?
julian needs to spend at least 7 hours each week practicing the drums. he has already practiced hours this week. he wants to split the remaining practice time evenly between the last 2 days of the week. write an inequality to determine the minimum number of hours he needs to practice on each of the 2 days.
An inequality to determine the minimum number of hours he needs to practice on each of the 2 days 0.835.
What is inequality?Definition and importance Imbalance or monetary disparity alludes to the contrast between the rich and poor, the endlessly the less wealthy - it is shown by individuals' various situations inside the financial conveyance - abundance, pay and pay. Imbalance is huge in a general public where hardly any individuals own a lopsided measure of the financial pie. In order to solve the inequality, the variable should be on one side, without coefficients or constants. Divide to cancel out coefficients and add or subtract to remove constants. Once you have isolated the variable, you have solved the inequality. Approach the inequality as you would an equation. Social imbalance alludes to the lopsided economic wellbeing in any general public, coming about because of inconsistent open doors, and lower awards for exertion. This sort of divergence is brought about by a sensation of being unjustifiably treated, or of segregation in host of regions, like restricted admittance to quality training and occupations. Notwithstanding pay imbalance, individuals who have specific individual attributes, either from birth, or which have been constrained on them by others, are in many cases the subject of inconsistent social treatment. These attributes incorporate such things as race, skin tone, and eye shape, as well as parentage, the guardians' societal position, inability, orientation and orientation character.
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Please help! Radicals.
(Check pics)
Answer:
[tex] - 26 \sqrt{10} [/tex]
Step-by-step explanation:
Simplify.
[tex] \rightarrow \sqrt{40} \: \: \: \: \: \: \: \: \\ = \sqrt{4 \times 10} \: \: \: \\ = \sqrt{4} \times \sqrt{10} \\ = 2 \times \sqrt{10} \: \: \: \: \\ = 2 \sqrt{10} \: \: \: \: \: \: \: \: \: [/tex]
[tex] \rightarrow \sqrt{160} \\ = \sqrt{16 \times 10} \: \: \: \\ = \sqrt{16} \times \sqrt{10} \\ = 4 \sqrt{10} \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
Let us solve the given expression now.
[tex] - \sqrt{40} - 6 \sqrt{160} \\ - 2 \sqrt{10} - 6 \times 4 \sqrt{10} \\ - 2 \sqrt{10} - 24 \sqrt{10} \\ - 26 \sqrt{10} [/tex]