Given: NM // XZ
We know that side NM is
v to side XZ. If
Prove: AXYZ ~ ANYM
we consider side NY the transversal for these parallel
lines, we create angle pairs. Using the
v. we can state that
ZYXZ is congruent to ZYNM. We know that angle
XYZ is congruent to angle
v by the reflexive
property. Therefore, triangle XYZ is similar to triangle
NYM by the
similarity theorem.
M
Answers
A transversal is a straight line that intersects two parallel lines forming four angles at each point of intersection. Thus the required answers to the given question are:
i. Side NM is parallel to side XZ.
ii. Using the corresponding property
iii. <XYZ is congruent to <NYM
iv. ΔXYZ is similar toΔNYM by SAS theorem
Two or more angles are said to be congruent if and only if they have equal measure. This property can be used to relate equal angles.
While a transversal is a straight line that intersects two parallel lines forming four angles at each point of the intersection.
The required answers to the question are as stated below:
i. Side NM is parallel to side XZ.
ii. The corresponding property
iii. <XYZ is congruent to <NYM
iv. ΔXYZ is similar toΔNYM by SAS theorem
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Answer: For the first box it is parallel, for the second box it is the corresponding angles theorem, the third is NYM, and the last one is AA.
Step-by-step explanation: 1.) Since line NM has an arrow on it's line and XZ has an arrow on it's line, that means that those two line are parallel to each other. 2.) Since both triangle contain the same transversal line (NY) and the corresponding angles theorem states that if a transversal intersects parallel lines, the corresponding angles are congruent. From this we can conclude that this means that the angle <YXZ has is congruent to the angle <YNM. Therefore we use the corresponding angles theorem. 3.) Answer 2 basically answers box number three but since we concluded that Angles of <YXZ and <YNM are both congruent <NYM would be your answer its just flipped. 4.) We use the AA theorem, because the AA theorem states that if an angle or angle(s) of one triangle is congruent to another angle/angle(s) of another triangle, then the triangles are similar (congruent). Therefore we would use the AA theorem.
Hope this helps :)
By the way this is the answer for EDGE in 2023
Related Questions
PLEASE HELP ANSWER MY QUESTION ASAP!
Answers
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: a_{33} = 1\degree[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
In a matrix, [tex] \sf a_{ij} [/tex] represents an element in " i " th row and " j " th column.
Henceforth, element [tex] \sf a_{33} [/tex] represents element in 3rd row and 3rd column.
[tex]\qquad \tt \rightarrow \:a_{33} = 1[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
the sum of a certain number and -3
Answers
Answer:
[tex]\huge\boxed{\sf x - 3 }[/tex]
Step-by-step explanation:
Let the certain number be x
So,
Given condition:Sum is to add so we'll use the sign +
= x + (-3)
We know that + and - makes - because - sign will flip the + sign and make it negative, So:
= x - 3
[tex]\rule[225]{225}{2}[/tex]
Solution: c-3
[tex]\searrow[/tex]
Detailed explanation:
[tex]\searrow[/tex]
This problem tells us to convert the verbal phrase (in words) "the sum of a certain number and -3" into an algebraic expression, which is written in numbers.
Let's start by taking a look at our problem.
"the sum of a certain number and -3". We can first write this "certain number" as one letter (any letter you want). Let it be c.
Our expression already looks a little easier: "the sum of c and -3".
Now, the word "sum" tells us to add. So we should add c and -3.
[tex]--\mapsto\boldsymbol{c+-3}[/tex]
Which is the exact same thing as [tex]\boldsymbol{c-3}[/tex].
Voila! There's our answer.
Cheers!! ^-^______________________
Hope I helped! Best wishes.
Reach far. Aim high. Dream big.
_______________________
Circle o has a circumference of 28.3 cm. What is the length of the radius r?
Answers
28.3cm = 2pi * r ( Isolate r )
28.3cm / 2pi = r
R = 4.504
To verify work we can plug 4.504 back into the equations.
Circumference = 2pi*4.504 ~ 28.299 Which is true !
Use the Factor Theorem to determine whether x + 1 is a factor of P(x) = 2x³+4x²–2x−8.
Specifically, evaluate P at the proper value, and then determine whether x + 1 is a factor.
Answers
Answer: [tex]2x^2+2x-4-\frac{4}{x+1}[/tex]
Not a factor because there is a remainder.
Step-by-step explanation:
Let's use synthetic division to solve this..
-1 ║ 2 | 4 | -2 | -8
║ | -2| -2 | 4
║ 2 | 2| -4 | -4
[tex]2x^2+2x-4-\frac{4}{x+1}[/tex]
PS: if anyone knows a better way to do a synthetic division chart please let me know.
Write logb(x/y) as two logs
Answers
Answer:
[tex] log_{b}(x) - log_{b}(y) [/tex]
find the linear measure of arc vw on circle p, where pv = 32 inches and angle vpw = 84. use 3.14 for pie and estimate your answer to two decimal places.
Answers
The linear measure of arc vw as described in the task content is; 46.89in.
What is the linear measure of the arc vw?It follows from the task content that the radius of the circle with center p is given as pv = 32in. and the angle subtended by the arc is; 84.
On this note, the measure of arc vw is;
= (84/360) × 2 × 3.14 × 32
= 46.89 inches.
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Y = 3x + 10
Y = 2x - 8
find the substitution
Show your work please ill give brainlyest
Answers
Answer:
x = -18, Y = -44
Step-by-step explanation:
Since Y = 2x - 8, we can substitute that into the first equation:
2x - 8 = 3x + 10
3x - 2x = -8 - 10
x = -18
Now we plug x = -18 back into the second equation:
Y = 2(-18) - 8
Y = -36 - 8
Y = -44
r=
help me please thank u
Answers
Answer:
[tex]\fbox {r = 34}[/tex]
Step-by-step explanation:
Finding IQ and RJ by tangent rule :
⇒ IQ = QK = 10
⇒ KR = RJ = 8
Finding PJ :
⇒ PJ = 32 - 8
⇒ PJ = 24
∴ But PJ = PI (by tangent rule)
⇒ PI = 24
Finding r :
⇒ PI + IQ
⇒ 24 + 10
⇒ r = 34
Shreya and Shanice are selling pies for a
school fundraiser. Customers can buy
blueberry pies and lemon meringue pies.
Shreya sold 4 blueberry pies and 2 lemon
meringue pies for a total of $76. Shanice
sold 4 blueberry pies and 13 lemon
meringue pies for a total of $230. What is
the cost each of one blueberry pie and
one lemon meringue pie?
Answers
Answer:
$26
Step-by-step explanation:
Let blueberry pies = x and lemon pies = y.
4x + 13y = 230
4x + 2y = 76
Using elimination, we see that 11y = 154. Therefore, y = 14.
4x + 2(14) = 76
4x + 28 = 76
4x = 48
x = 12
x + y = 12 + 14 = 26.
$26 is your answer.
Answer:
Step-by-step explanation:
Let B be the price of a blueberry pie. Let L be the price of a lemon meringue pie.
We are told that Shreya makes a total of $76 by selling 4 blueberry and 2 lemon meringue pies. This can be made into an equation:
Shreya: 4B + 2L = $76
We also learn that Shanice is doing particularly well:
Shanice: 4B + 13L = $320
We want to determine the prices for each type of pie, B and L. We have two equations and two unknowns. That means we should be able to find the answers by substitution.
Rearrange Shreya's equation to isolate B:
Shreya: 4B + 2L = $76
4B = $76 - 2L
B = ($76-2L)/4
Now use this definition of B in Shanice's equation:
Shanice: 4B + 13L = $320
4( ($76-2L)/4) + 13L = $320
($76-2L) + 13L = $320
11L = 244
L = $22.18
Use L = $22.18 in either equation and solve for B:
4B + 2L = $76
4B + 2*($22.18) = $76
4B = $31.64
B = $7.91
---
Blueberry pies are $7.91 each.
Lemon meringue pies are $22.18 each
=========
CHECK: Do these prices provide the correct sales for each person?
Price($/pie) Shreya Shanice
Blueberry 7.91 4 4
Lemon Mer. 22.18 2 13
Blueberry Sales ($) 31.64 31.64
Lemon Mer. Sales ($) 44.3 288.36
Total Sales $76 $320
YES - These prices account for each person's sales.
Drag each tile to the correct box. Not all tiles will be used.
Place the steps for finding in the correct order.
Answers
Answer+Step-by-step explanation:
[tex]f^{-1}\left( x\right) =\frac{1}{7} x^{2}+3 \ ,\text{where}\ x\geq 0[/tex]
How to find the point slope form with the slope of 3 and the point of -2/6
Answers
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:y-6 = 3(x + 2) [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Equation of line in point - slope form :
[tex]\qquad \tt \rightarrow \:y-y_1 = m(x - x_1)[/tex]
[tex] \tt \:m = slope=3[/tex][tex]\tt y_1 = y \: \: coordinate \: \: of \: \: point = 6[/tex][tex] \tt \:x_1 = x \: \: coordinate \: \: of \: \: point = - 2[/tex]Here :
[tex]\qquad \tt \rightarrow \:y - 6 = 3(x - ( - 2))[/tex]
[tex]\qquad \tt \rightarrow \:y - 6 = 3(x + 2)[/tex]
35 points! Which of the following polynomials has an even degree and a positive leading coefficient?
Answers
Answer:
1
Even degree: the start and the end of the graph goes either both up or down (1 and 4)
positive leading coefficient: right side of the graph is going up (1 and 2)
Simplify (3 + √5 )(2 + √5)
need the answer ASAP, WILL GIVE BRAINLIEST
Answers
Answer:
11 + 5√5
Step-by-step explanation:
6 + 3√5 +2√5 + 5
11 + 5√5
root n * root n = n , which is why there is a 5 at the end
Answer:
the answer is 11+5√5
Step-by-step explanation:
B/c (a+b).(c+d)=ac+ad+bc+bad(3+√5)(2+√5)=3.2+3.√5+√5.2+√5√5=6+3√5+2√5+√5√5=6+3√5+2√5+5=11+3√52√5=11+5√5pleasee help with function graphing
Answers
Answer: A. The function has two distinct real zeros.
Answer:
C. The function has four distinct real zeros.
Step-by-step explanation:
The function intersects y=0 at x=1/2, 4, and 6 twice. It has two solutions at 6 twice as it is a behavior of polynomial or rational functions
If AB is parallel to CD and the slope of AB is -3, what is the slope of CD?
Answers
True or false: The graph of y=3x2-3 opens up.
Answers
Answer: True: The graph of y=3x²-3 opens up
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex: (0,−3)(0,-3)
Focus: (0,−35/12)
Axis of Symmetry: x=0
Directrix: y=−37/12
X={-2, -1, 0, 1, 2}
Y={9, 0, -3, 0, 9
Step-by-step explanation:
erved,
The graph of function fis shown on the coordinate plane. Graph the line representing function g, if g is defined as shown below.
g(x) = 2f(x-1)
Answers
Using the graph attached, If g(x) = 2f(x-1), the graph of the function will be: g(x) = x - 7.
What is the function about?Using the graph, the function is:
f(x-1) =1/2 (x-1) - 3
f(x-1) = 1/2x - 1/2 - 3/1
f(x-1) = 1/2x - 7/2
So:
g(x) = 2f(x-1)
g(x) = 2 (1/2x - 7/2)
g(x) = x - 7
Therefore,:
At x = 0, y = -7
y = 0, x = -7
Thus, Using the graph attached, If g(x) = 2f(x-1), the graph of the function will be: g(x) = x - 7.
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Got it right on Plato/Edmentum UωU <3
Calculate the AREA of the shape below. Give your answer in cm²
Answers
Answer:
[tex] \boxed{\bf 26\: cm^2} [/tex]Step-by-step explanation:
We got two shapes in the given figure,on the right we got a rectangle and on the left we have a square.
Area of rectangle:-
[tex]\bf 5 \times 2[/tex][tex]\bf 10 \:cm^{2} [/tex]Area of square :-
[tex]\bf 4 \times 4[/tex][tex]\bf 16 \: {cm}^{2} [/tex]Total area :-
[tex]\bf 10 + 16[/tex][tex]\boxed{\bf 26 \: {cm}^{2} }[/tex]_________________________Answer:
26 cm^2Step-by-step explanation:
you have two rectangles, the bigest has the base of 6cm and the height of 4cm, the area is 6 * 4 = 24cm ^ 2, the other rectangle has the base of 6 - 4 = 2 and the height of 5 - 4 = 1, 2*1=2.
we add the dimensions and we have the area of the complete figure 24 + 2 =
26 cm ^ 2
f(x) = 4x² + 7x-3
g(x) = 6x³ – 7x² - 5
-
Find (f + g)(x).
Answers
Answer:
(f + g)(x) = 6x³ - 3x² + 7x - 8
Step-by-step explanation:
Another way of writing (f + g)(x) is f(x) + g(x). So, this question is asking you to combine both of the functions.
f(x) + g(x)
(4x² + 7x - 3) + (6x³ - 7x² - 5) <----- Insert functions
-3x² + 7x - 3 + 6x³ - 5 <----- Combine 4x² and -7x²
-3x² + 7x - 8 + 6x³ <----- Combine -3 and -5
6x³ - 3x² + 7x - 8 <----- Rearrange
4. John has his money in a savings
account that earns 3% interest each
year. He never takes money out of the
account. The value of his account is
described by the function
Dollars (years), or D(y).
Is D(2) < D(7) true or false?
Answers
Answer:
false
Step-by-step explanation:
so D(2) is equal to how much money he has after 2 years while D(7) is after 7 years. since he earns 3% interest each year he will have more money after 7 years than 2 years
A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally. A piece of climbing
equipment at a gym is 10 feet high and extends 6 feet horizontally. Which statement best compares the slopes of the
two pieces of equipment?
Answers
Answer:
First Option i.e 5/3 > 3/2 , the slope of Climbing equipment at Gym is greater is Correct
Step-by-step explanation:
This question deals with Slope of a line.
Slope tells how vertical a line is.
The more the slope is, the more the line is vertical. When slope is zero, the line is horizontal.
To find the slope, we take the ratio of how much the line's height increases as we go forward or backward on the horizontal axis.
For first climbing equipment rise = 6 feet, run(horizontal) = 4 feet
Thus, slope = 6/4 = 3/2 ≈ 1.5
For second climbing equipment rise = 10 feet, run(horizontal) = 6 feet
Thus, slope= 10/6 = 5/3 ≈ 1.66
Thus,
Slope of first climbing equipment = 3/2 < slope of second climbing equipment = 5/3
Thus, First Option i.e 5/3 > 3/2 , the slope of Climbing equipment at Gym is greater is Correct
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Aiden has a smart phone data plan that costs $25 per month that includes 2 GB of data, but will charge an extra $10 per GB over the included amount. How much would Aiden have to pay in a month where he used 2 GB over the limit? How much would Aiden have to pay in a month where he used went over by xx GB?
Total cost when over by 2 GB:
Total cost when over by xx GB:
need answer quick
Answers
Answer:
45 dollars for going over 2GB
Step-by-step explanation:
If he pays 25 dollars every month and he goes over 2 GB then he’ll have to pay 20 dollars extra since every GB over cost 10 dollars. The equation is 25+10+10 which equals 45.
An expression is a mixture of terms that are combined by using operations such as subtraction, addition, multiplication, and division.
The amount when 2 GB is used over the limit in a month is $45.
What is an expression?An expression is a mixture of terms that are combined by using operations such as subtraction, addition, multiplication, and division.
Example: 2x + 3x2 is an expression.
We have,
Cost of data plan with 2 GB = $25
Cost of one GB = $10
The equation that can be used to find the amount to pay when using x GB over the limit in a month:
= 25 + 10x
The amount when 2 GB is used over the limit in a month:
= 25 + 10 x 2
= 25 + 20
= $45
Thus,
The amount when 2 GB is used over the limit in a month is $45.
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find the number of primes less than 190 using the principle of inclusion-exclusion.
Answers
The number of primes less than 190 using the principle of inclusion-exclusion are 42
Principle of inclusion- exclusionThe principle of inclusion-exclusion is known as a counting technique that computes the number of elements satisfying at least one of several properties and guaranteeing that the numbers are not counted twice.
Prime numbers are numbers only divisible by 1 and itself.
Prime numbers less than 190 are:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181
They are 42 in number
Therefore, the number of primes less than 190 using the principle of inclusion-exclusion are 42
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Make u the subject formula
Please help
X=4uy/M
Answers
Answer:
[tex]\frac{XM}{4y}=u[/tex]
Step-by-step explanation:
First, multiply both sides by M.
X M = 4uy
Now, divide both sides by 4y.
[tex]\frac{XM}{4y} =\frac{4uy}{4y}[/tex]
Therefore,
[tex]\frac{XM}{4y}=u[/tex]
If a plane including pints p,q and r cuts through the cube
Answers
If a plane including pints p,q, and r cuts through the cube, the shape that will be gotten is a triangle.
What is a triangle?A triangle is a polygon with three edges and three vertices. The sum of the internal angles of a triangle is equal to 180 degrees.
In this case, when a plane including pints p,q, and r cuts through the cube, the shape that will be gotten is a triangle.
The diagram is attached.
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Please help!!!!!!!
picture below
Answers
Answer:
the first equation could be something along the lines of [tex]y=3x^{2}[/tex] then the second is [tex]y=3x^{2} -3\\[/tex]
Step-by-step explanation:
this is how shifting works
Combine the radicals 4√7 + 3√28
Answers
Answer:
10√7
Step-by-step explanation:
you can simplify the second radical and break it up into
√4 * √7 which then simplifies to 2√7 which you then multiply by 3. 4√7 + 3(2√7) which becomes 4√7 + 6√7 and then you just add the numbers Infront to get 10√7
Is this correct? If not then whats the answer?????
(image below)
Answers
What is the period of the function y=tan (4/pi (x-pi/3))
O 3 units
O4 units
O 6 units
O 8 units
Answers
Answer:
Period = 4 units
Step-by-step explanation:
Standard form of a tangent function:
[tex]f(x)=\sf A \tan(B(x+C))+D[/tex]
A = vertical stretchπ / |B| = period (distance between any two consecutive vertical asymptotes)C = phase shift (horizontal shift - positive is to the left)D = vertical shiftThe tangent function has a vertical asymptote whenever cos(x) = 0
The tangent function does not have an amplitude because it has no maximum or minimum value.
Given function:
[tex]y=\tan \left(\dfrac{\pi}{4}\left(x-\dfrac{\pi}{3}\right)\right)[/tex]
Therefore:
Vertical stretch (A) = none[tex]\textsf{Period}=\dfrac{\pi}{\left|\dfrac{\pi}{4}\right|}=4[/tex]Phase shift (C) = π/3 to the rightVertical shift = noneAnswer: 4 units
Step-by-step explanation:
please help thank you !
Answers
Answer:
6.6 cm and 14.6 cm
Step-by-step explanation:
(a)
the length of arc AB is calculated as
AB = circumference of circle × fraction of circle
= 2πr × [tex]\frac{95}{360}[/tex]
= 2π × 4 × [tex]\frac{95}{360}[/tex]
= 8π × [tex]\frac{95}{360}[/tex]
= [tex]\frac{8\pi (95)}{360}[/tex]
≈ 6.6 cm ( to the nearest tenth )
(b)
the perimeter (P) of sector AOB is
P = r + r + AB = 4 + 4 + 6.6 = 14.6 cm
Step-by-step explanation:
3.
the circumference of a circle is
2×pi×r
r = 4 cm
so, we know, the full circle circumference is
2×pi×4 = 8×pi = 25.13274123... cm
a.
the arc length of AB is the part of the whole circumference that corresponds to 95° out of the full 360° of a whole circle.
arc AB = 8×pi × 95/360 = pi × 95/45 = pi × 19/9 =
= 6.632251158... cm
b.
the perimeter of OAB (the "pie slice") is then the arc AB plus 2 radius lengths (from the end points on the arc to the center of the circle) :
pi × 19/9 + 2×4 = pi×19/9 + 8 = 14.632251158... cm