Answer:
B. Triangles A B C and A Y C are congruent and share common side A C. Triangle A B C is reflected across line A C to form triangle A Y C.
Step-by-step explanation:
Translation and reflection are examples of methods of rigid transformation. Translation ensure that each point on a given figure is moved the same distance with respect to the reference plane. Reflection involves the flipping of a given figure across a given line.
From the question, both reflection and transformation would map the triangles into one another. Since the reference line contains AB, then the two triangles are congruent and would share a common side.
Thus, the triangle pairs that can be mapped into each other is that of option B.
Based on the information given, the triangle pairs that can be mapped to each other using both a translation and a reflection across the line containing AB will be A. Triangles X Y Z and A B C are congruent. Triangle X Y Z is reflected across a line to form triangle A.
Triangles.The triangle pair that can be mapped to each other using both translation and reflection across line containing AB is the first triangle pair.
The first figure consists of ΔXYZ and ΔABC that are a reflection of each other across the line AB and a translation.
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Please answer answer question answer
Answer:
346.38022
Step-by-step explanation:
Using Law of Sines, we know that v=50
[tex]\frac{34}{sin(36)}=\frac{x}{sin(24)}[/tex]
Area = ab·sin(C) /2
[34x50xsin(24)]/2
=346.38022
Answer:
i think he/she is right
Step-by-step explanation:
Find the equation of the following ellipse based on the following information: Vertices: (-2,0), (2,0) minor axis of length 2
Answer:
The expression of the ellipse is: [tex]\frac{x^2}{4} + y^2 = 1[/tex]
Step-by-step explanation:
The equation of a ellipse can be written by the following expression:
[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1[/tex]
Where 2a is the length of the major axis and 2b is the length of the minor axi. Since we were given the length of the minor vertex, then:
[tex]2b = 2\\b = 1[/tex]
The length of the major axis is the distance between the two vertices.
[tex]2a = \sqrt{[2 - (-2)]^2}\\2a = \sqrt{(2 + 2)^2}\\2a = \sqrt{4^2}\\2a = 4\\a = 2[/tex]
Therefore the expression of the ellipse is:
[tex]\frac{x^2}{2^2} + \frac{y^2}{1^2} = 1\\\\\frac{x^2}{4} + y^2 = 1[/tex]
Angle G is a circumscribed angle of circle E. Circle E is shown. Line segments F E and D E are radii. A line is drawn to connect points F and D. Tangents F G and D G intersect at point G outside of the circle. Angles E B D and F D E have measures of x degrees. What is the measure of angle G, in terms of x? x° + x° x° + 90° 180° – x° 180° – 2x°
Answer:
X+X
Step-by-step explanation:
did it on edg
Answer:
x° + x°
Step-by-step explanation:
Edge 2020
(ANSWER ASAP) The table represents the multiplication of two binomials. What is the value of A?
-3x
-3x2
-5x
-5x2
By observing the table it can be concluded that the value of A must be equal to 3x × (-x)
So, the value will be -3x^2
Answer:
B on EDG
Step-by-step explanation:
On the coordinate plane below, Point P, is located at (2,-3) and point Q is located at (-4,4). Find the distance between points, P and Q
Answer:
[tex]d = \sqrt{85}[/tex] or d ≈ 9.22
Step-by-step explanation:
Distance formula:
[tex]d = \sqrt{(2 - (-4))^2 + (-3- 4)^2} \\d = \sqrt{36+ 49}\\d = \sqrt{85} \\[/tex]
I need a. Correct answer I’ll mark brainliest
Answer:
7^11 / 4^11
Step-by-step explanation:
( 7/4) ^ 11
We know that ( a/b) ^c = a^c / b^c
7^11 / 4^11
Answer: B. [tex](\frac{7}{4})^{11} = \frac{7^{11}}{4^{11}}[/tex]
Step-by-step explanation:
There is exponent rule that states [tex](\frac{a}{b})^{x} = \frac{a^x}{b^x}[/tex]
So we can apply this rule to this problem.
[tex](\frac{7}{4})^{11} = \frac{7^{11}}{4^{11}}[/tex]
Which property was used to write the equation in step 2? Step 1: 5 (x minus 7) = 55. Step 2: 5 x minus 35 = 55. Step 3: 5 x = 90. Step 4: x = 18.
Answer:
Distributive Property
Step-by-step explanation:
If we have an equation where we multiply something in parentheses by a certain term, then we can apply the distributive property to simplify it.
In this case: [tex]5(x-7)=55[/tex]
We can multiply [tex]x-7[/tex] by 5 to simplify this equation - this is the distributive property.
[tex]5x - 35 = 55[/tex]
So the property used to write the equation in Step 2 was the distributive property.
Hope this helped!
Answer:
the answer is didrtbutive
Step-by-step explanation:
hope it helps.
have a good day:)
Complete the sentence by selecting the correct word from each drop-down menu. The middle value of a data set that is ordered from least to greatest is called the ____ . This value is a measure of ____. The options for the first ____ are mean/median/range The options for the second ____ are center/range/variation
Answer: The middle value of a data set that is ordered from least to greatest is called the median. This value is a measure of center.
Step-by-step explanation:
There are three measures of the center: 1) Mean 2) Median 3) Mode
Mean : Average value of the data
Mode = The most repeated value.
Median is the middlemost value in a well-ordered data.
It measures the center of the data.
Hence, the completed statement would be:
The middle value of a data set that is ordered from least to greatest is called the median. This value is a measure of center.
Answer:
First ____ is median
Second ____ is center
Step-by-step explanation:
The median is the middle value of a set of numbers, and is found in the center.
Nicole makes $9.50 per hour working at an electronics company. She plans to buy a hand-held computer, the least expensive of which costs $245.60 and the most expensive of which costs $368.40. Write and solve an inequality describing how long Nicole will have to work to be able to buy a hand-held computer.
Please give me steps on how to solve this problem. THANK YOU.
Answer:
26 ≤ x ≤ 39 where x is # of hours
Step-by-step explanation:
If we call the number of hours she works x, Nicole will have made 9.50x after x hours. Therefore, we can write the following compound inequality:
245.60 ≤ 9.50x ≤ 368.40 (Note that we use ≤ instead of <; "at least/most" is denoted by ≤ or ≥)
Dividing the entire inequality by 9.50 (to get rid of the coefficient on x, we get about 26 ≤ x ≤ 39. We round up to the nearest integer because you can't really have, say, 25.69 hours in this context, you would have 26.
Suppose that for each firm in the competitive market for potatoes, long-run average cost is minimized at $0.6 per pound when 150 pounds are grown. The demand for potatoes is Q = 40,000/p. If the long-run supply curve is horizontal, then what would be the total consumer spending?
Answer:
Total consumer spending is 160
Step-by-step explanation:
Here , we are interested in calculating the total consumer spending.
In a long run perfect competition market, price interest with MC and minimum point of AC
Hence , P = AC
this means that Q = 40,000/P = 40,000/150 = 266.67 which is approximately 267 potatoes will be consumed
The total consumer spending is thus 267 * 0.6 = 160
By visual inspection, determine the best-fitting regression model for the
scatterplot.
A. no pattern
B. Exponential
C. Quadratic
D. Linear
Answer: C
I just took the test
The Benton Youth Soccer Team has 20 players on the team, including reserves. Of these, three are goalies. Today, the team is having a contest to see which goalie can block the most number of penalty kicks. For each penalty kick, a goalie stands in the net while the rest of the team (including other goalies) takes a shot on goal, one at a time, attempting to place the ball in the net. How many penalty kicks must be taken to ensure that everyone has gone up against each of the goalies?
Answer:
57
Step-by-step explanation:
Subtract one player from the total number, because one has to block.
19
Multiply this by the number of goalies there are.
19*3=57
There will be 57 kicks.
What the answer now question correct answer fast
v = 17 is your answer as an intergers or as a decimal rounded to the nearest tenth
PQRS is a parallelogram. Find the values of a and b. Solve for the value of c, if
c= a + b.
Answer:
B
Step-by-step explanation:
The opposite sides of a parallelogram are parallel and congruent, thus
SR = PQ , that is
8a - 4 = 6a + 10 ( subtract 6a from both sides )
2a - 4 = 10 ( add 4 to both sides )
2a = 14 ( divide both sides by 2 )
a = 7
In a parallelogram consecutive angles are supplementary, thus
∠ P + ∠ Q = 180, that is
18b - 11 + 9b + 2 = 180, that is
27b - 9 = 180 ( add 9 to both sides )
27b = 189 ( divide both sides by 27 )
b = 7
Thus c = a + b = 7 + 7 = 14 → B
Please answer this question now
Answer:
39°Step-by-step explanation:
A radius to the tangent point always forms a right angle with the tangent:
m∠XWY = 90°
So:
90° + 58° + x - 7° = 180°
141° + x = 180°
x = 39°
Which equation is true for the value b = 10? A. 2(b + 4) = 16 B. 2(b + 2) = 40 C. 3(b – 2) = 24 D. 2(8 + b) = 42 E. 3(b – 4) = 20
Answer:
C is the correct answer
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
have a good day
what is 23/20 as a mixed number
Answer:
[tex]1\frac{3}{20}[/tex]
Step-by-step explanation:
'23' fits into '20' one time. So, '1' would be the whole number. We would be left over with '[tex]\frac{3}{20}[/tex]' as the remainder, so '[tex]\frac{3}{20}[/tex]' would be the fraction of the mixed number.
Put them together, and you get: [tex]1\frac{3}{20}[/tex]
The fraction is already in it's simplest form.
Brainilest Appreciated.
The solution for mixed fraction of number 23 / 20 is,
⇒ 23/20 = 1 3/20
We have to given that,
A number is,
⇒ 23 / 20
We can divide it for the mixed fraction as,
⇒ 23 / 20
20 ) 23 ( 1
- 20
--------------
3
Therefore, It can be written as,
⇒ 23 / 20 = 1 3/20
Thus, The solution for mixed fraction of number 23 / 20 is,
⇒ 23/20 = 1 3/20
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A regular octagon is inscribed inside a circle. The perimeter of the octagon is units. A: What is the measure of a side of the octagon? B: What is the measure of a central angle of the octagon? C: What is the approximate measure of the apothem of the octagon (to the nearest hundredth of a unit)? D: Using your answer to part C, what is the approximate area of the octagon (to the nearest whole )?
Answer:
Explained below.
Step-by-step explanation:
Consider the diagram of a regular octagon is inscribed inside a circle.
Suppose the perimeter if the octagon is 8a.
(a)
Compute the measure of a side of the octagon as follows:
[tex]\text{Perimeter}=8\times side\\\\8\times side=8a\\\\side=a[/tex]
Thus, the side of the octagon is a units.
(b)
The sum of all angles of around a point is 360°.
Consider the point P on the octagon.
The sum of all the angle surrounding P will be 360°.
There are a total of 8 angle surrounding the point P.
Then the measure of central angle is:
[tex]\text{Central Angle}=\frac{360^{o}}{8}=45^{o}[/tex]
Thus, the measure of central angle is 45°.
(c)
The line segment from the center of an octagon to the midpoint of a side, perpendicular to said side, is known as the apothem.
Consider the diagram.
In the diagram the line segment PC is an apothem, that is perpendicular to the AB.
The measure of segment AC = a/2 and the measure of segment PA is r (radius of the circle).
Compute he measure of PC as follows:
[tex]PA^{2}=PC^{2}+AC^{2}\\\\PC^{2}=PA^{2}-AC^{2}\\\\PC=\sqrt{PA^{2}-AC^{2}}[/tex]
[tex]=\sqrt{r^{2}-\frac{a^{2}}{4}}[/tex]
Thus, the measure of the apothem of the octagon is[tex]\sqrt{r^{2}-\frac{a^{2}}{4}}[/tex].
(d)
The area of an octagon is:
[tex]\text{Area}=2(1+\sqrt{2})a^{2}[/tex]
if x to the power of 2 = 10 what is the value of x?
Answer:
x² = 10
x = ±√10 (Take the square root of both sides)
The slope of a line is 2, and the y-intercept is 0. What is the equation of the line written in slope-intercept form?
O y = x + 2
Oy= 2x
Oy= 2
Answer:
y =2x
Step-by-step explanation:
Slope intercept form is
y= mx+b where m is the slope and b is the y intercept
y = 2x+0
y = 2x
Answer:
Step-by-step explanation:
e
Hey loves!!! This is my last question(for now).Please help.
Answer:
35 degrees.
Step-by-step explanation:
m < TSK = 180 - 22 - 123
= 180 - 145
= 35.
Find the slope of the line that contains the following points. R(-3, 5), S(3, -2) 7/6 7/6 undefined
Answer:
-\frac{7}{6}
Step-by-step explanation:
We can use the slope formula for the segment that joins any two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex]:
[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
which in our case gives:
[tex]slope=\frac{y_2-y_1}{x_2-x_1} = \frac{-2-5}{3-(-3)}=\frac{-7}{6} =-\frac{7}{6}[/tex]
Please answer it now in two minutes
Answer:
m<x = 60
Step-by-step explanation:
This triangle seems to be a 30-60-90 triangle, therefore m<x will be 60 degrees.
1) solve for the shaded area
8 cm
15 cm
4 cm
30 cm
www.analyzematlucom
Answer:
208 cm²
Step-by-step explanation:
First, you take the area of the whole rectangle, to do this you simply multiply 30 by 15, meaning that the big rectangle’s area is 450 cm².
Then, you take the area of the small rectangle (the unshaded one), to do this, you simply figure out the sides (they end up being 11 cm and 22 cm, you can find this out through subtracting) and to find the area of this rectangle, you multiply 11 by 22, which gives you 242 cm²
Now all that is left to do is to subtract the unshaded area by the whole rectangles area to find the shaded part! This will look like this: 450-242= 208 cm²
Urgetttttttt!!!!!!! On his way to work each day, Steve encounters one traffic light. He records the color of the light each day by marking "G" for green and "R" for red. Estimate the probability that Steve encounters a green light on any given day. G G G R R G R G G R R R R G G G G R R G
Answer:
[tex]\bold{P(A) =\dfrac{11}{20}}[/tex]
Step-by-step explanation:
A - an occurrence that Steve encounters the green light
number of all counted ligths: |Ω| = 20
number of counted green ligths: |A| = 11
Probability that Steve encounters a green light on any given day:
[tex]P(A) = \dfrac{|A|}{|\Omega|}=\dfrac{11}{20}[/tex]
Find arc length. (Ignore the pencil mark, NEED ASAP)
Answer:
15.7 yd
Step-by-step explanation:
Arc length is given as 2πr(θ/360).
Where,
Radius (r) = 10 yd,
Measure of arc (θ) = 90°
π = 3.142
Arc length = 2*3.142*10(90/360)
Arc length = 62.84(¼)
Arc length = 62.84/4
Arc length = 15.71 yd
The act length is approximately 15.7 (to the nearest tenth)
27 An old-fashioned bicycle has two differently sized wheels. The circumference of the front wheel is 9 feet larger than the circumference of the back wheel. Thomas biked for a while and, according to his equipment, the front wheel went all the way around 500 times and the smaller wheel went all the way around 1400 times. How far, in feet, did Thomas bike?
Answer:
Half ans is in pic...
now, the circumference of the smaller wheel, will just be C = 2πr, with a radius of "r".
we also know that the large wheel has a circumference that is 9 feet larger than the small one, so, since the small one has a circumference of 2πr, then the large one will have a circumference of 2πr + 9.
after Thomas cycled for a while, the large did 500 revolutions, or times around, whilst the small one did 1400, since it's smaller. On that time, they covered however, the same amount of ground, since they're on the same bike.
The amount covered by the small one in 1400 cycles, is 1400(2πr), that's how much ground it covered.
The amount covered by the large one in 500 cycles, is 500(2πr + 9).
And we know that ground covered, is the same for both, therefore, we also know that 1400(2πr) = 500(2πr + 9).
Refer to the pic for rest...
Hope it helped
Mark BRAINLIEST!
Determine the sum of the first ten terms of the geometric series -1 + 2 - 4 + 8 + ...
Answer:
-1+2-4+8-10+12-14+16-18+20
=
-47+68
= +21
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HELP ME PLZ! I will not accept non sense answers. BRAINLIEST will be given to the person who gets it correct with full solutions.
[tex]A = 1500(1.00167)^{12t}[/tex]
=================================
Explanation:
You could use the formula
[tex]A = P(1+\frac{r}{n})^{nt}[/tex]
to plug in P = 1500, r = 0.02 and n = 12 to get the answer above. This is the compound interest formula. The interest rate r is divided into n = 12 to account for monthly compounding. The original exponent t turns into 12t. So for instance, if t = 2 years go by, then 12*t = 12*2 = 24 months have gone by.
Given: l | | m m 1 = 140° m 3 = 50° m 6 =
Answer:
m∠6 = 90°
Step-by-step explanation:
∠1 and ∠2 are a linear pair. This means they are supplementary, or their measures sum to 180°. To find m∠2, we subtract m∠1 from 180:
180-140 = 40°
The measure of ∠2 is 40°.
The sum of the measures of the angles in a triangle is 180°. We have ∠2 and ∠3; to find the measure of ∠6, we subtract these two from 180:
180-(40+50) = 180-90 = 90°