Find the values of x and y that make these triangles congruent by the HL Theorem
A. X=5, y=6
B. X= -5, y=6
C. X=5, y= -6
D. X=6, y=5
Determine the relationship between the lines that pass through the given points: line
a.(-3, 5) and (0, 7) line
b.(6, 2) and (9, 4)
What is the equation of the line, in point-slope form, that passes through the points (-3, -1) and (-6, 8)? open study?
إ
Hello : let A(-3,-1) B(-6,8)
the slope is : (YB - YA)/(XB -XA)
(8+1)/(-6+3) =9/(-3)
the slope is: -3
The angle of elevation to the sun is 24°. What is the length of the shadow cast by a person 1.82 m tall?
The length of the shadow cast by a person 1.82 m tall is; 4.09m
Angle of ElevationThe angle of Elevation to the sub is 24°.
On this note, the shadow cast on the floor represents the adjacent of the angle of Elevation.
Hence, the length of the shadow cast can be calculated from Tangent identify as follows;
Tan 24° = 1.82/ll = 1.82/Tan 24l = 1.82/0.445Length of shadow = 4.09m
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Which expression is equivalent to 32⋅32⋅32⋅32 ? (Also All The 32s Are Fractions, The Lines Just Wont Come Up.)
Answer:
If this is 1/32 for all of them the answer would be (1/32)^4 or (1/32) to the 4th power. if this is 3/2 it would be (3/2)^4 or (3/2) to the 4th power.
Step-by-step explanation:
If this is 1/32 for all of them the answer would be (1/32)^4 or (1/32) to the 4th power. if this is 3/2 it would be (3/2)^4 or (3/2) to the 4th power. I hope this helps : )
Olivia's work and solution to the equation -6x + 11=43 is shown. Identify each error in Olivia,s work ad epxplian what she would have done instead.
-6x + 11=43
+11 +11
-6x = 54
-6x/6 = 54/6
X = 9
the area of the a rectangular painting is 4902 cm squared. if the length of the painting is 86 cm, what is it’s width?
The data set shows the weights of pumpkins, in pounds, that are chosen for a photograph in a farming magazine. 18 22 14 30 26 (a) What is the mean, x , of the data set? (b) What is the sum of the squares of the differences between each data value and the mean? Use the table to organize your work. (c) What is the standard deviation of the data set? Use the sum from Part (b) and show your work. (d) A second group of pumpkins, with weights of 32, 35, 33, 34, and 36 pounds, are chosen for another photograph. Will the standard deviation of these weights be greater or less than the standard deviation found in Part (c)? Answer this without doing a calculation and explain your reasoning.
Study the products shown. Is there a pattern?
(x + 3)2 = x2 + 6x + 9
(x + 4)2 = x2 + 8x + 16
(x + 5)2 = x2 + 10x + 25
(x + 6)2 = x2 + 12x + 36
Each product is in the form ax2 + bx + c.
Which of the following describes the relationship between b and c?
c is 1.5 times that of b.
c is double b.
c is the square of half of b.
c is the square of b.
Answer:
The correct option is 3. c is the square of half of b.
Step-by-step explanation:
The given equations are
[tex](x+3)^2=x^2+6x+9[/tex]
[tex](x+4)^2=x^2+8x+16[/tex]
[tex](x+5)^2=x^2+10x+25[/tex]
[tex](x+6)^2=x^2+12x+36[/tex]
These are the perfect square. According to this pattern,
[tex](x+y)^2=x^2+2xy+y^2[/tex] .... (1)
Each product is in the form
[tex](x+y)^2=ax^2+bx+c[/tex] .... (2)
From (1) and (2), we get
[tex]b=2y[/tex]
[tex]c=y^2[/tex]
[tex]c=(\frac{b}{2})^2[/tex] [tex][\because b=2y][/tex]
It means c is the square of half of b.
Therefore the correct option is 3.
PLEASE HURRY!! 30 POINTS
Simplify
73+3(23−13)2
Answer:
1976
Step-by-step explanation:
2007 divided by j = 223
5. 41°F equals how many degrees Celsius?
Felicity's insurance company pays for 65% of her elbow surgery, after she pays a $500 deductible.
How much will Felicity pay for her elbow surgery if it costs $9400?
A. $3290
B. $3465
C. $3615
D. $3790
How to write a standard form equation with an undefined slope?
What is the reciprocal of 6 3/7?
45/7 is the correct answer
Write an equation of the line passing through point P(−8, 0) that is perpendicular to the line 3x−5y = 6
To find the equation of a line perpendicular to another line, we need to find the negative reciprocal of the slope. Substituting the values into the point-slope form, we can find the equation of the perpendicular line.
Explanation:To find the equation of a line that is perpendicular to another line, we need to find the negative reciprocal of the slope of the given line. The given line has the equation 3x - 5y = 6, so its slope is 3/5. The negative reciprocal of 3/5 is -5/3, so the slope of the line perpendicular to the given line is -5/3.
Since we know a point on the perpendicular line is P(-8, 0), we can use the point-slope form of a line to find the equation. The point-slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. Substituting -8 for x1, 0 for y1, and -5/3 for m, we get y - 0 = -5/3(x - (-8)).
Simplifying the equation gives y = -5/3x - 40/3, which is the equation of the line passing through point P(-8, 0) and perpendicular to the line 3x - 5y = 6.
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Please help me . I don't get it
Find the values of x and y that make k || j and
m || n.
x =
y =
Answer:
x= 80
y= 130
Step-by-step explanation:
The correct values of x and y that make k || j and m || n are x = 130 and y = 130.
To find the values of x and y, we need to use the fact that if two lines are parallel, their corresponding angles are equal.
Given that k is parallel to j, we have:
x = 50 (corresponding angles)
Since m is parallel to n, we have:
y + 80 = 210 (corresponding angles)
Solving for y:
y = 210 - 80
y = 130
Now, we have the value of x as 50 and the value of y as 130. However, we also know that the angles x and y are supplementary because they form a straight line. Therefore, their sum must be 180 degrees.
x + y = 180
50 + y = 180
y = 180 - 50
y = 130
This confirms that y is indeed 130 degrees. Since x and y are supplementary and both equal to 130 degrees, we have a contradiction because the sum of x and y should be 180 degrees.
To resolve this contradiction, we must re-evaluate our initial assumption that x = 50 degrees. Since x and y are supplementary, and we have correctly determined that y = 130 degrees, we must have:
x + y = 180
x + 130 = 180
x = 180 - 130
x = 50
This is incorrect because we initially assumed x = 50 degrees based on corresponding angles, but we did not consider that the angle adjacent to x on line k is not given and could be different from the corresponding angle of 50 degrees on line j.
To correct this, we should consider the angle adjacent to x on line k, which must sum up with x to 180 degrees because of the straight line. Let's call this angle x'. Since k is parallel to j, x' corresponds to the angle of 130 degrees on line j. Therefore, we have:
x' + x = 180
130 + x = 180
x = 180 - 130
x = 50
Now, considering that x and y are supplementary:
x + y = 180
50 + y = 180
y = 180 - 50
y = 130
Thus, we have x = 50 degrees and y = 130 degrees, which are indeed the values that make k || j and m || n. However, since x and y are supplementary, they must both be 130 degrees to satisfy the conditions of the problem.
Therefore, the correct values are x = 130 degrees and y = 130 degrees.
A flat rectangular piece of aluminum has a perimeter of 70 inches. The length is 11 inches longer than the width. Find the width. A. 34 inches B. 35 inches C. 23 inches D. 12 inches
perimeter = 2L +2w
L = w+11
70 = 2(w+11) +2w
70 = 2w+22+2w
70= 4w + 22
48 = 4w
w=48/4 = 12
width = 12
length = 12+11 = 23
2x12 = 24
2x23 = 46
46+24 = 40
length = 23 inches, width = 12 inches
Answer is D
Answer:
The answer is the option D
[tex]12\ inches[/tex]
Step-by-step explanation:
we know that
The perimeter of a rectangle is equal to
[tex]P=2L+2W[/tex]
where
L is the length side of the rectangle
W is the width side of the rectangle
In this problem we have
[tex]P=70\ in[/tex]
so
[tex]70=2L+2W[/tex] ------> equation A
[tex]L=W+11[/tex] ------> equation B
Substitute equation B in equation A and solve for W
[tex]70=2[W+11]+2W[/tex]
[tex]70=2W+22+2W[/tex]
[tex]4W=70-22[/tex]
[tex]W=48/4[/tex]
[tex]W=12\ in[/tex]
Solve the equation 1-|1/3q-5| = -6
16x^2 = 49 help find x.
What is the total surface area of this composite solid ?
M is the midpoint of CF for the points C(1, 2) and F(7, 10). Find MF.
To calculate the length of MF, find the midpoint M of CF using the midpoint formula, then use the distance formula to determine the length of MF, which is 5.0 cm.
Explanation:To find the length of the segment MF, we must first determine the coordinates of the midpoint M of the segment CF. Since C has coordinates (1, 2) and F has coordinates (7, 10), we use the midpoint formula which is ( (x1 + x2)/2, (y1 + y2)/2 ). Calculating this for C and F gives us the coordinates of M as:
x-coordinate of M = (1 + 7)/2 = 4y-coordinate of M = (2 + 10)/2 = 6Therefore, M has coordinates (4, 6). Now, to find the distance MF, we use the distance formula between points M and F:
MF = √[(x2 - x1)² + (y2 - y1)²] where (x1, y1) are the coordinates of M and (x2, y2) are the coordinates of F.
Replacing with the known values:
MF = √[(7 - 4)² + (10 - 6)²]
MF = √[3² + 4²] = √[9 + 16] = √25 = 5.0 cm
Thus, the length of the segment MF is 5.0 cm.
Find a equation for the line, in point-slope form, that contains (5,1) and is perpendicular to 6x − 3y = 2.
Suppose you have 19 black socks and 19 green socks in the dryer. 4. without looking, how many socks would you need to pull out of the dryer to be sure you get a black pair?
You would need to pull out 21 socks from the dryer to ensure you have a black pair since you might initially pull out all 19 green socks before getting to the black ones.
To determine how many socks one would need to pull out of the dryer to be sure to get a pair of black socks when you have 19 black socks and 19 green socks, consider the worst-case scenario. In the worst case, you pull out all 19 green socks one by one. Since you have not yet pulled out a single black sock, the 20th sock you pull out has to be black, because there are no more green socks left. However, to ensure you have a pair of black socks, you will need to pull out one more sock. So the answer is that you need to pull out 21 socks to be certain of having a pair of black socks.
Sydney read 50 pages and 40 minutes she reads at a constant rate how many pages can Sydney read per minute
Sydney can read 5/4 or 1.25 pages in one minute
Data;
number of pages = 50time taken = 40 minuterate = ?What is RateThis can be defined as the measure of one unit against another unit.
If it take Sydney 40 minutes to read 50 pages, let's calculate how many pages she will read in one minute to determine her rate.
[tex]40 pages = 50 minutes\\x pages = 1 minute[/tex]
Let's cross multiply both sides and solve for x
[tex]50 pages = 40 minute\\x pages = 1 minute\\x = \frac{50*1}{40}\\x = 1.25 page[/tex]
From the calculations above, Sydney can read 5/4 or 1.25 pages in one minute.
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What is the sector area created by the hands of a clock with a radius of 9 inches when the time is 4:00? 6.75π in.2 20.25π in.2 27π in.2 81π in.2?
we know that
The area of a circle is equal to
[tex]A=\pi r^{2}[/tex]
where
r is the radius of the circle
In this problem we have
[tex]r=9\ in[/tex]
substitute in the formula
[tex]A=\pi*9^{2}=81 \pi\ in^{2}[/tex]
The area of the complete circle subtends [tex]360\ degrees[/tex]
When the time is 4:00 the angle formed by the hands of a clock is [tex]120\ degrees[/tex]
so by proportion
Find the area of the sector area
[tex]\frac{81\pi}{360} \frac{in^{2}}{degree} =\frac{x}{120} \frac{in^{2}}{degree} \\ \\x=120*81 \pi /360\\ \\x=27 \pi\ in^{2}[/tex]
therefore
the answer is the option
[tex]27 \pi\ in^{2}[/tex]
solve for x. 3x-r=r(-3+x)
The sum of 2 consecutive numbers is 97. Find the numbers
Find three consecutive integers with a sum of -36