Answer:
Step-by-step explanation:
x = 3y
x + y = 180°
3y + y = 180° ⇒ y = 45° = a
x = 3( 45° ) ⇒ x = 135° = b
The sizes of angles represented by a and b are 45 and 135 degrees.
How does an angle form?An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints.
The point of their joint is called vertex of that angle.
Those two line segments forming it are called arms of that angle.
The angle is the degree of rotation that it will take for the moving side to go from initial side to the position it is currently on.
We are given that
x = 3y
Since we know that the linear pair is
x + y = 180°
Therefore, 3y + y = 180°
y = 45° = a
x = 3( 45° )
x = 135° = b
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Sally can paint a room in 7 hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the room if they worked together?
Answer:
2 hours
Step-by-step explanation:
Answer:
2 hours
Step-by-step explanation:
Let x represent the time it takes together. Per hour the Equalizer
1/3hr + 1/8hr = 1/x Multiplying each term by 24x so as all denominators = 1
8x + 3x = 24
11x = 24
x = 2.18 hrs, the time it takes them together
Point R has coordinates of (5.-6). What the coordinates of R' after being reflected across the y-axis?
Answer:
R' (- 5, - 6 )
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
R (5, - 6 ) → R' (- 5, - 6 )
Answer:
-5, -6
Explanation:
5, -6 is in quadrant 4, (x, -y) so if it were to be reflected over the y- axis, it would got to quadrant 3 (-x, -y).
Hope this helped :)
HELP ME ON MY GEOMETRY PLEASEEEEE
Answer:
A
Step-by-step explanation:
I need help, could someone please explain this.
Find the polynomial function in standard form that has the zeros listed. 1-2i and 1 + 2 i
Answer:
y = x² -2x +5
Step-by-step explanation:
When a polynomial has q as a zero, it has (x-q) as a factor. Your polynomial has factors (x -(1-2i)) and (x -(1+2i)). The polynomial will be the product of these factors.
__
y = (x -(1 -2i))(x -(1 +2i))
y = ((x -1) +2i)((x -1) -2i) = (x -1)² -(2i)² = x² -2x +1 -4(-1)
y = x² -2x +5
_____
Additional comments
i is the imaginary number √(-1), so i² = -1.
The two given roots differ only in the sign of their imaginary parts, so they are "conjugates" of each other. Complex roots of polynomials with real coefficients always come in conjugate pairs. (In some problems, you will be expected to supply the missing root of a conjugate pair.)
The expression for the product of the factors is simplified using the factoring for the difference of squares:
(a -b)(a +b) = a² -b² . . . . . . . here, we have a=(x-1); b=2i
A line has a slope of 0 and passes through the point (10, 2). What is its equation in slope intercept form?
Answer:
y = 10
Step-by-step explanation:
y = m x + C, where m is the slope and c is the intercept on the y axis. Plugging in the values of m and C, we get: y = 0 x + 10 = 0 + 10 = 10. Therefore, y = 10.
The equation of line that passes through the point P ( 10 , 2 ) and has a slope of 0 is y = 2
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the point be represented as P ( 10 , 2 )
And ,let the slope of the line be m = 0
Slope m = 0
Now , the equation of line is given by the formula y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 2 = 0 ( x - 10 )
On simplifying the equation , we get
y - 2 = 0
Adding 2 on both sides of the equation , we get
y = 2
Therefore , the value of A is y = 2
Hence , the equation of line is y = 2
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Round 68,533 to the nearest hundred.
Answer:
68,500
Step-by-step explanation:
68,533 <- Hundreds place is underlined
[] To round, we look at the number right the place. If it is less than 5, keep it the same. If it is five or greater , round up.
[] In this case it is a 3, so we keep it the same. We get an answer of 68,500
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
What is an equation of the line that passes through the points (2, -1) and (3,-4)
Answer:
Step-by-step explanation:
Given:
x1 = 2
x2 = 3
y1 = -1
y2 = -4
Solution:
m = ( y2 - y1 ) / ( x2 - x1 )
m = ( -4 - -1 ) / ( 3 - 2 )
m = -3 / 1
m = -3
Then,
y - y1 = m ( x - x1 )
y - (-1) = -3 ( x - 2 )
y + 1 = -3x + 6
y = -3x + 6 - 1
y = -3x + 5
Solve for C: 20 (greater than or equal too sign) C-11
Answer:
C (is greater than it equal to) 31
Step-by-step explanation:
Isolate the c by adding 11 to both sides (cancels out the 11 and turns 20 into 31). Keep the sign the same!! Hope this helped! <33
find the sides marked with letters
Also explain how to solve it
Answer:
m = 10
Step-by-step explanation:
The triangles are similar. The scale factor is 15/9.
We multiply 6 by the scale factor and get m:
m = 6 * 15/9 = 10
Then we see that m (10) is also the lenght of a side in the smaller triangle, so we multiply 10 by 15/9 and find a.
a = 16,6 (circa)
write the inequality this number line represents "14-15-16-17-18-19-20-21-22-23-24"
PLEASE HELP!!
Answer:
x≤19
Step-by-step explanation:
because its everything to the left of 19 including 19
Answer:
Interval notation: (- ∞, 19]
Inequality notation: -∞ < x ≤ 19
Step-by-step explanation:
Given the inequality graphed on a number line, where there is a closed circle on 19:
A closed circle represents the endpoint as part of the solution. Moreover, the direction of the arrow on the number line points toward the left, which implies that all of the values that are less than or equal to 19 are included on the solution.
Therefore, the inequality represented on the number line is:
Interval notation: (- ∞, 19]
Inequality notation: -∞ < x ≤ 19
I need help I have a test...!
Find the value of x in the figure:
Answer:
In first situation= =given angle + x=sum of angle of triangle. =110°+x=180°=70° X=70° Similarly, 2. condition can be solved i.e-x=144°
Step-by-step explanation:
Asap?
Robert wrote two patterns. Pattern 1 started at 2 and followed the rule "add 4." Pattern 2 started at 1 and followed the rule "add 3." Pattern 1 is represented by x-coordinates, and Pattern 2 is represented by y-coordinates. Which table shows the ordered pairs for these two patterns?
X Y
1 2
4 6
8 10
12 14
X Y
2 1
6 4
10 7
14 10
X Y
1 2
2 6
3 10
4 14
X Y
2 1
4 4
6 7
8 10
Answer:
the 2nd one lol
Step-by-step explanation:
Answer:
number 2ᕙ(@°▽°@)ᕗStep-by-step explanation:
I need help lololololololololololololololol
Answer:
bestie so do i
Step-by-step explanation:
The width of the rectangle is 50% of its length. What is the area of the rectangle?
Answer:
area = length x half of length
Step-by-step explanation:
whatever the length of the rectangle is, replace it with 'length'
for example if the length was 6cm, it would be:
length x half of length = area
6cm x (6/2) = area
6cm x 3cm = area
18cm² = area
Select the correct answer.
Which equation represents the line that is perpendicular to y = 1/5 and passes through (-4,-3)?
A.X=-4
B.X=-3
C. y=-5
D. y=-3
Step-by-step explanation:
The answer is b for sure.
Find the complex zeros of the following polynomial function.
f(x)=
[tex] {x}^{3} - 1[/tex]
Make sure to simplify your answer Type an exact answer, using radicals and i as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.
The complex zeros of f are:
Answer:
[tex]x=\frac{-1\pm\sqrt{3}i}{2}[/tex]
Step-by-step explanation:
[tex]f(x)=x^3-1[/tex]
[tex]0=x^3-1[/tex]
[tex]0=(x^2+2x+1)(x-1)[/tex]
[tex]x-1=0[/tex]
[tex]x=1[/tex] <-- Real Solution
[tex]x^2+x+1=0[/tex]
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\frac{-2\pm\sqrt{2^2-4(1)(1)}}{2(1)}[/tex]
[tex]x=\frac{-1\pm\sqrt{1^2-4(1)(1)}}{2(1)}[/tex]
[tex]x=\frac{-1\pm\sqrt{1-4}}{2}[/tex]
[tex]x=\frac{-1\pm\sqrt{-3}}{2}[/tex]
[tex]x=\frac{-1\pm\sqrt{3}i}{2}[/tex] <-- Complex Solutions
What is the counter example for the conditional below? if a number is divisible by 6, then it is divisible by 18.
Answer:
24 is divisible 6 but not 18.
Step-by-step explanation:
The statement in the question is not true. So a counterexample is an example of the statement being false. Consider 24. 24 is divisible by 6, but 24 is not divisible by 18.
The counter example for the expression where a number is divisible by 6 then alternatively it will be divisible by 18 is when the number is 24 or 30
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the number be n
The number n is divisible by 6
And , the number will be divisible by 18 when it is divisible by 6
Substitute the value of n = { 24 , 30 }
The number n = 24 is divisible by 6 but not divisible by 18
And , The number n = 30 is divisible by 6 but not divisible by 18
Hence , the expression is not valid
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if 4.5 pounds of cherries cost $10 , what is the unit price per pound ? A.$0.22 B.$0.45 C. $2.22
Answer:
C
Step-by-step explanation:
Divide the price by the weight 10 / 4.5 = $2.22 per pound
7) There are 5 white balls, 8 red balls, 7 yellow balls and 4 green
balls in a container. A ball is chosen at random.
What is the probability of choosing red?
8)What is the probability of choosing green?
9) What is the probability of choosing either red or white?
10) What is the probability of choosing neither white nor green?
11) What is the probability of choosing other than yellow?
12) What is the probability of choosing black?
Answer:
7. 1/3
8. 1/6
9. 13/24
10. 5/8
11. 17/24
12. 0
Step-by-step explanation:
First find the total number balls by summing the indiviudal number of balls:
Total = 5 + 8 + 7 + 4 = 24
Then, the find any probability divide the number of ways your selected situation can happen from the total:
[tex]probability = \frac{number.of.possible.ways}{total.number.of.ways}[/tex]
A final step if you want is to reduce the fraction to its simplest value. For example,
[tex]\frac{2}{4} =\frac{1}{2}[/tex]
7) 8/24 = 1/3
8) 4/24 = 1/6
9) (8+5)/24 = 13/24
10) (24 - 5 -4)/24 = 15/24 = 5/8
11) (24 - 7)/24 = 17/24
12) (0)/24 = 0
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Find the area of the semicircle.
Either enter an exact answer in terms of pi or use 3.14 for IT and enter your answer as a decimal.
Answer:
Step-by-step explanation:
semi circle: pi(r^2)/ 2
r=3
AREA: 14.14
PLEASE HELP ME ASAP!!!!!!!!! GOD BLESS YOU IF YOU HELP ME THIS WILL RAISE MY GRADE
Divya glued a ribbon around a clipboard. The clipboard is 9 inches wide and 11 inches tall. What is the length of ribbon used and the area of the clipboard?
Based on the dimensions of the clipboard, the length of the ribbon is 40 inches and the area of the clipboard is 99 inches ².
The ribbon goes around the clipboard which means that its length is the clipboard's perimeter which is calculated as:
= 2 x length + 2 x Width
= 2 x 9 + 2 x 11
= 18 + 22
= 40 inches
The area of the clipboard will be:
= Length x Width
= 9 x 11
= 99 inches ²
In conclusion, the length is 40 inches and the area is 99 inches²
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question 19 of the attachment below
Answer:
The proof of area is [tex]\frac{3\sqrt{3} }{2} (p^{2}-1)x^{2}[/tex] is done
Step-by-step explanation:
Area of regular hexagon[tex]=6\times[/tex] Area of equilateral triangle
Area of regular hexagon ABCDEF with side [tex]x[/tex]
[tex]=6\times \frac{\sqrt{3} }{4} x^{2} \\\\= \frac{3\sqrt{3} }{2} x^{2}[/tex]
Area of regular hexagon FGHIJK with side [tex]px[/tex]
[tex]= \frac{3\sqrt{3} }{2} (px)^{2}\\\\=\frac{3\sqrt{3} }{2} p^{2}x^{2}[/tex]
Area of shaded region
[tex]=\frac{3\sqrt{3} }{2} p^{2}x^{2}-\frac{3\sqrt{3} }{2} x^{2}\\\\=\frac{3\sqrt{3} }{2} (p^{2}-1)x^{2}[/tex]
please help I’ll give 60 points
Answer:
See image
Step-by-step explanation:
You need to use a common denominator in order to add fractions. The first fraction can be changed by multiplying by 3/3. The second fraction remains the same. The sum in the third line uses the two fractions with common denominators (both now have a 12 on the bottom). 8/12 can be reduced by dividing 8 and 12 by 4 to get 2/3 see image
Which statement is necessarily true if is an altitude to the hypotenuse of right ?
Step-by-step explanation:
it's b
i relly don't know cause theres no image
Solve the equation.
7- 3n = 11n+ 2
6. Multiply: i) 3x (5x+8y)
ii) 4x (3x2 + 5x-7)
iii) (3x+4y) (2x-7y)
iv) (2-3a) (2a2-3a+7)
Answer:
Step-by-step explanation:
3x(5x+8y)=15x^2+24xy
4x(3x^2+5x-7)=12x^3+20x^2-28x
(3x+4y)(2x-7y)=6x^2+8xy-21xy-28y^2=6x^2-13xy-28y^2
(2-3a)(2a^2-3a+7)=4a^2-6a+14-6a^3+9a^2-21a=-6a^3+13a^2-27a+14
evaluate the expression for the given value of x.
0.8x+5.4 for x= -3
Answer:
3.0
Step-by-step explanation:
0.8 times -3 = -2.4
5.4-2.4=3.0
So the answer is 3.0
a2+b2=
What is the answer
Answer:
(a+b)² - 2ab
Step-by-step explanation:
it is a formula :)
Can you help me explain
Answer:
6, 60, 0.6, 600 are the answers
the questions all use the same digits but that the powers of 10 are different between the dividends and divisors for some
Step-by-step explanation: