Vertical lines m and n are intersected by lines k and j. At the intersection of lines m and k, the bottom right angle is (x minus 30) degrees. At the intersection of m and j, the uppercase right angle is y. At the intersection of lines k and n, the bottom left angle is (x + 50) degrees.
Find the values of x and y that make k || j and
m || n.
x =? °
y = ?°
Answers
Using the same-side interior angles theorem, the values of x and y are:
x = 80
y = 130
What is the Same-side Interior Angles Theorem?The same-side interior angles theorem states that two interior angles on same side of a transversal are supplementary.
(x - 30) and (x + 50) are same-side interior angles, therefore:
(x - 30) + (x + 50) = 180
Solve for x
x - 30 + x + 50 = 180
2x + 20 = 180
2x = 180 - 20
2x = 160
x = 160/2
x = 80
(x - 30) + y = 180
Plug in the value of x
(80 - 30) + y = 180
50 + y = 180
y = 180 - 50
y = 130
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Answer:
X= 80
Y= 130
Step-by-step explanation:
do you trust me???
Related Questions
Which points can be connected to draw a line of symmetry through this diamond?
Drag and drop an answer to the box to complete the statement. please answer asap!
Answers
The line is drawn at point A and Point C is a line of symmetry because lines of symmetry make exactly two halves with similar shapes and sizes.
What is a line of symmetry?It is defined as the line which will make exactly two halves with similar shape and size in geometry. For a two-dimensional shape, there is a line of symmetry, and for three-dimensional shapes, there is a plane of symmetry. In other words, if we make a mirror image of the shape around the line of symmetry, we will get exactly the same half portion.
We have given a figure in the picture.
The figure is a quadrilateral(a kite)
As we know, lines of symmetry make exactly two halves with similar shapes and sizes.
IF we draw a line from Point A to Point C we will get two similar and figures in size and shape.
Thus, the line is drawn point A and Point C is a line of symmetry because lines of symmetry make exactly two halves with similar shapes and sizes.
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Answer:
point C
Here is a step-by-step explanation of the statement:
1. Draw a point B and a point C on a piece of paper or a computer screen.
2. Draw a straight line that goes through both point B and point C.
3. Fold the paper along the line you just drew, so that the line is the fold line.
4. Notice that if you were to fold the paper exactly in half along the line, point B would match up with its reflection on the other side of the line, and point C would match up with its reflection on the other side of the line.
5. This means that the line you drew is a line of symmetry, because it divides the paper into two identical halves that can be folded together.
6. Therefore, the statement "A line drawn through point B and point C is a line of symmetry" is true.
Consider the equation. Which graph shows a line that is perpendicular to the line defined by the given equation? A. In a linear graph line diagram, A line passes through (minus 4, minus 2) and (2, minus 0.5) which intersects the x-axis at 4 units and the y-axis at minus 1 unit. B. In a linear graph line diagram, A line passes through (2, 0.5) and (minus 4, 2) which intersects the x-axis at 4 units and the y-axis at minus 1 unit. C. In a linear graph line diagram, A line passes through (2, 4) and (0.5, minus 2) which intersects the x-axis at 1 unit and the y-axis at minus 4 units. D. In a linear graph line diagram, A line passes through (2, minus 4) and (0.5, 2) which intersects the x-axis at 1 unit and the y-axis at minus 4 units.
Answers
The graph second represents the line that is perpendicular to the line y = 4x - 2 option (B) is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The question is incomplete:
The complete question is:
Consider the equation y = 4x - 2 Which graph shows a line that is perpendicular to the line defined by the given equation?
Please refer to the attached picture.
The given line:
y = 4x - 2
The slope of the line m = 4
The slope of the line which is perpendicular to the above line:
M = -1/4 = -0.25
The graph second has a slope of -0.25
[tex]\rm y\ -2\ =\ \dfrac{\left(2-0.5\right)}{-4-2}\left(x+4\right)[/tex]
y - 2 = -0.25x - 1
y = -0.25x + 1
Thus, the graph second represents the line that is perpendicular to the line y = 4x - 2 option (B) is correct.
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Instructions: Rewrite the equation in Slope-Intercept Form. y−2=−2/5(x−5)
Answers
The equation in Slope-Intercept Form is y = -2/5 x + 4.
We have given that,
y−2=−2/5(x−5)
We have to rewrite the equation in Slope-Intercept Form.
What is the slope-intercept form of the line?
slope-intercept form is y = mx + b
for equation y - 2 = -2/5 (x - 5) we need to simplify/rearrange
so y - 2 = -2/5 x + -2/5 (-5)
= -2/5 x + 2
=> y = -2/5 x + 4
This line has a gradient of -2/5 (goes down 2 units and across 5 units) and a y-intercept of 4 so passes through the point (0,4).
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What is the net percent gained or lost on a stock with goes up 30% on monday and then drops 30% on tuesday? use a negative sign to indicate percentage lost.
Answers
Answer:
0 is the answer to the question
Please help! Both questions are in the photo. Thank you so much!
Answers
The probability that a 4 shows up is 0.20 and the proportion of 3's rolled is 0.467
The probability that a 4 shows upFrom the list of numbers, we have:
Sides = 5 i.e. numbers 1 to 5n(4) = 1 i.e. sides labelled 4The probability that a 4 shows up is then calculated as:
P = n(4)/Sides
This gives
P = 1/5
Evaluate
P = 0.2
The proportion of 3's rolledIn the list of numbers, we have:
Total = 15Number of 3's = 7The proportion of 3's rolled is then calculated as:
P = Number of 3's/Total
This gives
P = 7/15
Evaluate
P = 0.467
Hence, the proportion of 3's rolled is 0.467
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prove that (1- cos(pi)/(8))(1-cos(3 pi)/(8))(1-cos(5 pi)/(8))(1=cos(7 pi)/(8))=(1)/(8)
Answers
Step-by-step explanation:
1&$)&(5$6$5*-_+_7&'+&-^€=%
Need to know asap thanks
Answers
Answer:
[tex]\large \boxed{\sf 16}[/tex]
Explanation:
[tex]\Rightarrow \sf \sqrt{121} + \sqrt[3]{125}[/tex]
[tex]\Rightarrow \sf{ \sqrt{11 \ x \ 11} + \sqrt[3] {\sf5 \ x \ 5 \ x \ 5}[/tex]
[tex]\Rightarrow \sf{ \sqrt{11^2} + \sqrt[\sf 3] {\sf 5^3}[/tex]
[tex]\Rightarrow \sf 11 + 5[/tex]
[tex]\Rightarrow \sf 16[/tex]
I hope this help you . the concept of sure and cube roo
helppppp pleaseee tap or click picture if needed
Answers
Answer:
A
Step-by-step explanation:
He saves allowance for 5 months 5 months * $6 = 30 dollars
30 ÷ 3 would be the # of rides he can go on
Solve -5<4x+3<_<7
Not really sure how to solve, line under greater than sign
Answers
The solution to the complex inequality as in the task content is; -2 < x <= 1.
What is the solution of the inequality?The inequality in discuss is; -5<4x+3 <= 7.
Hence, solving the inequalities separately; we have;
-5 < 4x +3
-8 < 4x
-2 < x
Also; 4x+3 <= 7
4x <= 4
x <= 1.
Ultimately, the solution to the inequalities is;
-2 < x <= 1.
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Find the nth term of the sequence -2,6,14,22...
Answers
Answer:
[tex]\boxed{a_{n} = 2(4n - 5)}[/tex]
Step-by-step explanation:
Given :
⇒ a = -2
⇒ d = 14 - 6 = 8
Formula for nth term :
[tex]\boxed {a_{n} = a + (n-1)d}[/tex]
Solving :
⇒ aₙ = -2 + (n - 1)(8)
⇒ aₙ = -2 + 8n - 8
⇒ aₙ = 8n - 10
⇒ aₙ = 2(4n - 5)
Examine the system of equations.
y=2x-3
y=-3
Which statement about the system of linear equations
is true?
O The lines have different slopes.
O There is no solution to the system.
O The lines have the same slope, but different y-
intercepts.
O The solution is (-3, -9).
Answers
For a system of equations to have no real solution, the lines of the equations must be parallel to each other. The correct option is A.
What is the System of equations?Inconsistent System
For a system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System
1. Dependent Consistent System
For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
For a system of the equation to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.
If the two of the given system of equations are plotted on the graph, then it can be observed that the two lines have different slopes. Therefore, the correct option is A.
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The function f(x) is shown on the graph.
-181x
15
12-
Hr)
-9-
6-
3-
-3
T
3
9
12-
10
18+
If f(x) = 0, what is x?
O 0 only
O -6 only
O-2, 1, or 3 only
O-6, -2, 1, or 3 only
Answers
Answer: -6
Step-by-step explanation:
Check
The tiles on the left contain functions written using function r
g(f) = 2f
f(h) = h - 7
h(g) = -4+g
Answers
The input values for each of the given functions are as outlined below.
How to identify input values of functions?Input values are also defined as domain which is the set of input values for which the function is defined. Thus, let us look at each of the given functions;
1) g(f) = 2f. The input value here is f
2) f(h) = h - 7. The input value here is h.
3) h(g) = -4 + g. The input value here is g
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Are the equations 5x=3-x and 5x=-x+3 equivalent?
Answers
Answer:
yes
Step-by-step explanation:
The commutative property of addition applies to let you swap the order of the summands.
__
Here is how the commutative property can be applied.
5x = 3 -x . . . . . given
5x = (3) +(-x) . . . . shown as a sum
5x = (-x) +(3) . . . . order swapped using commutative property of addition
5x = -x +3 . . . . . . equivalent equation
Compare the ratios using the models.
7 to 16
6:8
Which statements are true? Check all that apply.
The model for the ratio 7 to 16 should show 7 cells
shaded.
The model for the ratio 6:8 should show 8 cells
shaded.
The ratio 7 to 16 is greater than 6:8.
The ratio 6:8 is greater than the ratio 7 to 16.
Answers
The correct options are Option A: the ratio 7 to 16 should show 7 cells shaded and Option D: 6:8 is also greater than 7:16.
The ratio is the representation of the fraction where the fraction is represented by : symbol.
In the ratio a:b, it simplifies that a number of parts are shades among b number of cells.
Here given two ratios are 7:16 and 6:8.
The ratio 7:16 simplifies that 7 cells are shaded from 16 number of cells.
similarly, 6:8 simplifies that 7 cells are shaded from 8 number of cells.
As 6:8 and 7:16 can be written as in the fraction form which are 6/8 and 7/16.
Then multiply 2 in both denominator and numerator of 6:8 will be
6/8= 12/16
Now comparing between 12/16 and 7/16
12/16 > 7/16 as the denominator is same and the numerator is greater in 12/16.
Then 6:8 is also greater than 7:16.
So by checking all the options
Option A is correct: from above i is clear that the ratio 7 to 16 should show 7 cells shaded.
Option D is correct: 6:8 is also greater than 7:16.
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Someone or anyone pls help me, I just want the answers pls it’s so urgent
Answers
Step-by-step explanation:
The first question is pretty straight forward, all you have to do is get a ruler and measure how long XY is. Then draw another line that has the same exact length next to it and label it AB, by drawing A and B at the end points like how they did in the line XY
For the second question measure the length of FG and then measure the length of YZ and add the two lengths and then draw a line with that length and then label it CD by labeling the end points C and D.
For the last question measure the length of MN and then divide that length in 2 and then label that midpoint O. for example if I had the same problem and I put my ruler on the line and saw the length was 10 inches, I would go to where it's 5 inches and label the midpoint on the line. You also want to draw a perpendicular line through that midpoint O.
The length of a rectangle plus its width is 25
cm. The area is 150 square cm. What are the
length and width of the rectangle?
Separate the answers with a comma.
Answers
length = 25cm - width
length x width = 150 cm^2
(25cm-w)w= 150
25w-w^2=150
0=w^2-25w+150
0=(w-15)(w-10)
w=10cm
l=15cm
I read 1/3 of a book in an hour.
How much more of the book will I read in 2 1/5 hours
Answers
Answer:
Step-by-step explanation:
To find the number of pages of the book in the given hour:
To find the number of pages in 2 1/5 hours, multiply the number of pages read in 1 hour by 2 1/5 hours.
[tex]\sf \text{ Number of pages read in 2 $\dfrac{1}{5}$ hours = $\dfrac{1}{3}*2\dfrac{1}{5}$ }[/tex]
[tex]\sf = \dfrac{1}{3}*\dfrac{11}{5}\\\\=\dfrac{11}{15}[/tex]
[tex]\sf \text{Number of pages read more in 2 $\dfrac{1}{5}$ hours = $\dfrac{11}{15}-\dfrac{1}{3}$}[/tex]
[tex]\sf =\dfrac{11}{15}-\dfrac{1*5}{3*5}\\\\=\dfrac{11}{15}-\dfrac{5}{15}\\\\=\dfrac{6}{15}[/tex]
Answer:
see below
Step-by-step explanation:
Here is another way
1/3 book / hr * 2 1/5 hr =
1/3 * 11/5 = 11/15 read in 2 1/5 hr
1/3is the same as 5 /15
11/15 - 5 /15 = 6/15 = 2/5 more read in 2 1/5 hr that 1/3 hr
Find the inequality represented by the graph:
Answers
The equation of linear system in the form of inequality will be x + y ≥ 2 or y ≥ 2 – x.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The graph is given below.
The graph is a linear equation.
Then the equation of linear system in the form of inequality will be
The two point are given as (0, 2) and (1, 1). Then the equation of linear system will be
y – 2 ≥ [(2 – 1) / (0 – 1)] (x – 0)
y – 2 ≥ – x
x + y ≥ 2
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Sienna is solving the quadratic equation by completing the square.
3x2 + 9x – 4 = 0
3x2 + 9x = 4
A(x2 + 3x) = 4
Answers
Answer:
See below
Step-by-step explanation:
3 (x^2 + 3x) = 4
3 ( x + 3/2)^2 = 4 + 27/4
Use the commutative property to simplify the expression 4/3 + 3/4 + 2/3
Answers
The simplified expression using the commutative property is : [tex]\frac{6}{3}[/tex] + [tex]\frac{3}{4}[/tex]
Meaning of commutative propertycommutative property can be defined as a mathematics attribute that is possessed by a mathematical equation, that enables the objects undergoing addition or multiplication to change position.
In conclusion, The simplified expression using the commutative property is : [tex]\frac{6}{3}[/tex] + [tex]\frac{3}{4}[/tex]
Analysis4/3 + 3/4 + 2/3 = ( [tex]\frac{4}{3}[/tex] + [tex]\frac{2}{3}[/tex] ) + [tex]\frac{3}{4}[/tex] = [tex]\frac{6}{3}[/tex] + [tex]\frac{3}{4}[/tex]
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the map is drawn to the scale of 1:4000 and the distance in between two places on the map is 4 cm what is the actual distance between those two places
Answers
Answer:
4 × 4000 = 16000cm or 160 meters
A sector of a circle of radius 14cm containing
an angle 60° is folded to forma cone
Calculate the radius of the base of the circle
}
Answers
answer is 2 ⅓
Explanation
Length of arc = circumference of the base of the
cone
is β/360 x 2πR=2πr
make r the subject of formula
r =βR/360
r=60 x 14/360
r=2⅓cm
please mark as brainliest if i am right
Find the value of x to the nearest tenth.
Answers
X=44
But since it is to nearest tenth it is 44.0
Answer: 44
What is [tex]S\frac{O}{H} C\frac{A}{H}T\frac{O}{A}[/tex] ?
[tex]S\frac{O}{H} C\frac{A}{H}T\frac{O}{A}[/tex] is an abbreviation for how to making finding the angle measurements of right triangles easier!
[tex]S\frac{O}{H}[/tex] is also known as sine. Using the opposite side length of the triangle [O] and the hypothenuse [H], can help you find the missing angle measurement of a triangle.
C is cosine and T is tangentA is adjacent side lengthAs stated before, this abbreviation is typically used to help find missing angles, but in this question, you already have your angle measurements. You are missing a side length.
Using the angle 54° as a reference point, the side length 32 is adjacent to it, so you have [A]. With A, you can use either Cosine or Tangent.
The missing side is opposite the 54° angle, so you have [O]. The only ratio with O and A belongs to Tangent, so we will use this ratio to solve for the missing side.
Write this equation down and use your calculator to solve for x:
*make sure your calculator is in degrees*
tan (54°) = [tex]\frac{x}{32}[/tex]
32 × tan (54°) = x
44.04 ≈ 44 =x
Chris wants to create a rectangular rose garden in a yard. he has 40 meters of fencing to go around the garden and he has to use it all. pick two ways he could construct the garden
Answers
Answer:
4x10 8x5
Step-by-step explanation:
1st way = 8W x 12L
2nd way = 6W x 14L
Reason
Using W as width and L length
We know Perimeter is 2w + 2L
1st way
8m width x 12m length =
2(8) + 2(12) =
16 + 24 = 40
2nd way
6m width x 14 length
2(6) + 2(14)=
12 + 28 = 40
Really confused about this one anyone mind to help 100 points
Answers
Answer:
9(x - 5)
Step-by-step explanation:
Just write the equation according to the sentence. It's THAT SIMPLE.
Answer:
d
Step-by-step explanation:
Which four inequalities can be used to find the solution to this absolute value inequality?
Answers
The four inequalities that can be used to find the solution of 3 ≤ |x + 2| ≤ 6 is x + 2 ≤ 6, x + 2 ≥ -6, x + 2 ≥ 3 and x + 2 ≤ -3
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given the inequality:
3 ≤ |x + 2| ≤ 6
Hence:
x + 2 ≤ 6, -(x + 2) ≤ 6, 3 ≤ x + 2 and 3 ≤ -(x + 2)
This gives:
x + 2 ≤ 6, x + 2 ≥ -6, x + 2 ≥ 3 and x + 2 ≤ -3
The four inequalities that can be used to find the solution of 3 ≤ |x + 2| ≤ 6 is x + 2 ≤ 6, x + 2 ≥ -6, x + 2 ≥ 3 and x + 2 ≤ -3
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Me no like this meth and me is not smart
halp
Answers
(15-10)-(14+12+ (8+5)
Answers
Answer:
-34
Step-by-step explanation:
Remove all brackets by multiplying the existing math signs then take it from there
(15-10)-(14+12+ (8+5)
5 - (14 + 12 + (8 + 5)
5 - (14 + 12 + 13)
5 - 39
-34
Jamaal is allowed to walk no farther than three blocks in either direction from his house. If his house is located on the 57th block of the town, which absolute value equation can be used to determine the farthest block to which Jamaal is allowed to walk?
|x – 57| = 0
|57 – 3| = x
|3 – 57| = x
|x – 57| = 3
Answers
Answer:
| x - 57 | = 3
Step-by-step explanation:
Since the house is on the 57th block, Jamaal must stop walking on the 54th block or the 60th block.
