Some steps to construct an angle MNT congruent to angle PQR are listed below.
Step 1: Draw a segment NT.
Step 2: Use a compass to draw an arc from point Q that intersects the side PQ of angle PQR at point A and the side QR at point B.
Step 3:
Step 4: Adjust the width of the compass to AB, and draw an arc from point X such that it intersects the arc drawn from N in a point Y.
Step 5: Join points N and Y using a straightedge.
Which statement describes step 3 correctly?
Use the same width of the compass to draw an arc from point T that intersects the segment NT at a point X.
Use the same width of the compass to draw an arc from point N that intersects the segment NT at a point X.
Use the same width of the compass to draw an arc from point A that intersects the segment NT at a point X.
Use the same width of the compass to draw an arc from point B that intersects the segment NT at a point X.
Answers
From the description of the construction of the congruent angle, we have;
The statement that describes step 3 correctly is; Use the same width of the compass to draw an arc from point N that intersects the segment AN at a point X
The reason for making the above selection is as follows:
The steps to construct an angle congruent to another angle are;
Step 1: Given an angle PQR, draw a working segment NT
Step 2: Place the needle of the compass at point Q and draw an arc (Q, QA), intersecting sides PQ and QR of the angle ∠PQR at points A and B respectively
Step 3: Place the needle of the compass at point N and draw an arc with the compass width QA from above the to intersect the segment NT at a point X
Step 4: Set the compass width to the distance AB with which an arc is drawn from point X so as to intersect the arc (N, QA) above at point Y
Step 5: The points Y and N are joined with a straight line to form the congruent angle
Analysis of the steps:
Given that in step 4, we have that the the arc drawn from point X with compass width AB is meant to intersect the arc drawn from point N, at point Y, we have that in step 3 an arc was drawn from point N with compass width QA from step 2 to intersect NT at a point X
Therefore;
Step 3 is best described by the following statement;
Use the same width of the compass to draw an arc from point N that intersects the segment AN at a point X
Learn more about the construction of congruent angles here:
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Use the same width of the compass to draw an arc from point N that intersects the segment NT at a point X.
This option gives us the step 3.
This is because we want to have equal angles. Therefore we select an arc equal in length to arc AB which intersects NT at point X.
This can be explained more with the help of a diagram.
Two angles are equal when their dimensions are equal.
Arcs of equal length would give congruent angles.
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Related Questions
What is the value of x in the solution to this system of equations?
5x−5y=120
y=−7x+8
Enter your answer in the box.
x =
Answers
Answer:
-5=5x+5y when you divide it by 5 I don't understand how the equation then becomes x=-1-y when you are dividing by a positive 5
Step-by-step explanation:
Example Question #1. If 7x + y = 25 and 6x + y = 23, what is the value of x? You could also solve one equation for y and substitute that value in for y in the other equation: 6x + y = 23 → y = 23 – 6x.
Please help! The Sugar Sweet Company will choose from two companies to transport its sugar to the market. The first company charges $3495 to rent trucks plus an additional fee of $255.50 for each ton of sugar. The second company charges $5500 to rent trucks plus an additional $125.25 fee for each ton of sugar. For what amount of sugar do the two companies charge the same? What is the cost when the two companies charge the same?
Answers
Answer:
The cost when the two companies charge the same is $7,703.
Step-by-step explanation:
Let 'x' represent the number of tons.
For x tons the first company will charge:
5297 + 200.50x
For x tons the second company will charge:
6500 + 100.25x
We want to find x so that both companies charge the same, that is:
5297 + 200.50x = 6500 + 100.25x
x = 12 tons
For 12 tons both companies will charge the same.
The cost charged for 12 tones is:
5297 + 200.50*12 = $7,703
Hope this Helps! :)
which one is greater 0.503 or 0.53
Answers
Answer:
0.53
Step-by-step explanation:
Hope this helps.
8(m – 5) = 2(3m - 8)
help
Answers
Answer:
m=12
Step-by-step explanation:
it is right
Answer:
m = 12
Step-by-step explanation:
8(m – 5) = 2(3m - 8)
Distribute the 8 to (m-5) and the 2 to the (3m-8)
8m-40=6m-16
Add 40
8m=6m+24
Subtract 6m
2m=24
Divide 2
m=12
5x-3y=1,3x+2y=1 solve the simultaneous equation above
Answers
Answer:
The solution to the equation is as follows;
[tex]x = \frac{5}{19} ,\ and \ y= \frac{2}{19}[/tex]
Step-by-step explanation:
Given;
5x - 3y = 1
3x + 2y = 1
Solving both equation simultaneously;
2: 10x - 6y = 2
3: 9x + 6y = 3
--------------------------
19x + 0 = 5
x = 5/19
substitute the value of x in any of the equations above and solve for y;
5x - 3y = 1
5 (5/19) - 3y = 1
25/19 -3y = 1
[tex]3y = \frac{25}{19} -1\\\\3y = \frac{25-19}{19} \\\\3y = \frac{6}{19} \\\\y = \frac{2}{19}[/tex]
in a farm 20% of animals are cows . 0.4 are goat and the rest are sheep.How many cows are there if there are 40 sheeps
Answers
Step-by-step explanation:
20%=cows 0.4(40%)=goat 40%=sheep
if 40%sheep=40 sheeps
20% cow=x
20%×40=40%×x
8=40%x
x=8/40%
x=20
..so there are 20 cows
sorry...not sure
Answer:
There are 20cows
Step-by-step explanation:
20%=0.2 of cows
0.4=goats
1-(0.2+0.4)=0.4 are sheep
Using ratio and proportion,
0.2/0.4×40=20
Brooklyn is going to invest in an account paying an interest rate of 1.9% compounded continuously. How much would Brooklyn need to invest, to the nearest hundred dollars, for the value of the account to reach $530 in 7 years?
Answers
Answer:
The answer is 500
Answer Explanation:
none
The amount of money Brooklyn need to invest, for the value of the account to reach $530 in 7 years is $500
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let P represent the amount of money that Brooklyn should invest, hence:
Since the interest is 1.9% (0.019) in 7 years, therefore:
[tex]$530=P(1 + \frac{0.019}{1} )^{1*7}\\\\\\[/tex]
[tex]P=464.58[/tex]
The amount of money Brooklyn need to invest, for the value of the account to reach $530 in 7 years is $500
Find out more on equation at: https://brainly.com/question/2972832
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Which expression is equivalent to (138+5)?
help pleaseee
Answers
Answer HI Did you mean:
138 + 5 plz thx for the points
Twice the sum of a number and 8 is the same aa the difference of 3 and the number. Find the equation that could be used to find the number, x.
A. 2x+8=x-3
B. 2(x+8)=x-3
C. 2(x+8)=3-x
D. 2x+8=3-x
Answers
Answer:
f your number is x, then the difference between that number and 8 would be x-8. Twice that is 2(x-8)
Three times the sum of the number and 3 would be 3(x+3). So, you get the equation:
2(x-8)=3(x+3)
2x-16=3x+9
x=-25
6. The costs for going to a dog beach are
$7 for 1 dog, and $2 for each additional
dog. Which equation shows this situation,
where x > 1?
A y = 2x + 5
Cy= 5x + 2
B y = 3x + 11 D y = 7x + 11
Answers
9514 1404 393
Answer:
A y = 2x + 5
Step-by-step explanation:
The cost per dog is the slope of the cost equation, 2. The equation can be written in point-slope form as ...
y -7 = 2(x -1) . . . . using the point (1, 7)
Simplified, this is ...
y = 2x -2 +7
y = 2x +5 . . . . matches choice A
Solve for x 2x + 3 > 7
Answers
Answer:
The answer is x>2
Step-by-step explanation:
2x + 3 > 7
-3 -3
2x > 4
/2 /2
x>2
Answer:
x > 2
Step-by-step explanation:
Given
2x + 3 > 7 ( subtract 3 from both sides )
2x > 4 ( divide both sides by 2 )
x > 2
Solve the equation. You may find using algebra tiles helpful in solving this problem.
x + 4 = −x − 4
x = ?
Answers
Answer:
x = -4
Step-by-step explanation:
x + 4 = -x - 4
adding both side with x
x + x + 4 = x - x - 4
2x + 4 = -4
give both side (-4)
2x + 4 - 4 = -4 - 4
2x = -8
x = -8/2 = -4
A volunteer group is planting trees at 6 different parks. They planted 70 trees at each park. How many trees did the group plant in all?
Answers
Answer:
6x70=420
Step-by-step explanation:
With this probelm, you can add like this 70+70+70+70+70+70 to get the answer (find the first number mentioned that is probably the first thing your mutilplying and second number you can use to mutiply it, it can put it anyway like 6x70 or 70x6
Find the value of x in the given
right triangle.
12
x = [?]
Enter your answer as a decimal rounded to the
nearest tenth.
Enter
Answers
Answer:
[tex]x = 10.6[/tex]
Step-by-step explanation:
[tex] \sin( {62}^{o} ) = \frac{x}{12 } \\ x = 12 \sin( {62}^{o} ) \\ x = 10.6[/tex]
Expression: 7a²b + 362
Polynomial?
Degree?
Terms?
Name?
JUST NEED THE TERM
Answers
Answer:
Please check explanations for answer
Step-by-step explanation:
Here, we want to fill out the properties of the given expression
1. Polynomial
Yes, it is a polynomial as it satisfies the properties
2. Degree
The degree is the highest power
we have a raiders to 2 and b raised to 1 giving the total power as 3
3. It has just two terms
4. It is a monomial
Can you help me on this? Thanks
Answers
Answer:
rjjlowiqyyyjjjioiiiffggytdyhhg
Find the distance between the two points rounding to the nearest tenth (if necessary).
(3, -2) \text{ and } (7, 6)
(3,−2) and (7,6)
Answers
i cant type out the square root symbol so just pretend that this dollar sign is the square root symbol so the formula is
d=$(x2-x1)^2+(y2-y1)^2
so everything is under the sqrt symbol ($ in this case)
so (3,-2) and (7,6)
i find that labeling them helps so like
(3,-2) and (7,6)
x1 y1 x2 y2
now do it:
d=$(7-3)^2+[6-(-2)]^2
d=$(4)^2+(6+2)^2
d=$16+(8)^2
d=$16+64
d=$80
so distance is sqrt of 80
do u need it in radical or decimal form?
I ordered some books online for myself and friends.
Each book costs $13 and the store charges a flat rate for shipping of $20.
Write an expression for the cost of buying n books.
Answer:
Answers
Let books = b
13b + 20 is your expression, as you'll have to pay 20 no matter how much books you buy for shipping.
hope this helps :)
PLEASE HELP I AM BEING TIMED!!
Statement: Find Measure angle KJM and measure angle KLM
Options: Measure angle KJM=132 and measure angle KLM=59
Measure angle KJM=121 and measure angle KLM=59
Measure angle KJM=138 and measure angle KLM=42
Measure angle KJM=121 and measure angle KLM=42
Answers
Step-by-step explanation:
On each side of this quadrilateral, you have supplementary angles, in other wourds, angles that sum up to one hundred eighty degrees:
[tex]\displaystyle 180° = [3y + 14]° + [10y - 29]° \\ 180° = [-15 + 13y]° \\ \frac{195}{13} = \frac{13y}{13} \\ \\ 15 = y; 59° = [3(15) + 14]° \\ \\ \\ \\ 180° = [5x - 2]° + [x + 14]° \\ 180° = [12 + 6x]° \\ \frac{168}{6} = \frac{6x}{6} \\ \\ 28 = x; 138° = [5(28) - 2]°[/tex]
I am joyous to assist you at any time.
Type the correct answer in each box. The point on the number line shows the opposite of , or the opposite of the opposite of .
Answers
Answer:
2.5
Step-by-step explanation:
Given
See attachment for number line
Required
Determine the opposite of the point
Represent the point with x; we have to first, determine point x
From the number line:
[tex]x = -2.5[/tex]
The opposite of number x is -x
[tex]-x = -(-2.5)[/tex]
[tex]-x = 2.5[/tex]
Hence, the opposite of the point is 2.5
Ellie bought 5 chicken wings for $10.00. If Ellie spent $16.00, how many chicken
wings did she buy?
Answers
Answer:
In all, she bought 8, or three more.
Step-by-step explanation:
If 5 chicken wings are for ten dollars, that means each wing is 2 dollars.
If each wing is two dollars then you divide the sixteen dollars by 2 dollars getting 8 wings.
Answer:
Ellie can buy 8 chicken wings
Step-by-step explanation:
From what we know, Ellie was able to by 5 chicken wings for $10, when dividing 10 by 5 we now know that each chicken wing could've cost her $2. So in order to find out how many chicken wings she can buy we can divide 16 by 2 and get 8. Hope this helps! :)
AN MP3 PLAYER IS ABOUT 1 3 / 4 inches long which statement best describes the length of the MP3 PLAYER?
Answers
Screenshot of options is attached below;
Answer:
length is between 1 inch and 2 inches
Step-by-step explanation:
Given that :
Length of Mp3 = 1 3/4 inches
Converting to decimal :
7/4 inches = 1.75 inches
1.75 lies in between 1 inch and 2 inches ;
1.75 > 1 and 1.75 < 2
Hence,
1 < 1.75 < 2
Hence, length is between 1 inch and 2 inches
solve for y when x=4
-y+5x=2(y+7x)
A. y=18
B. y=7
C. y=4
D. y=-12
Answers
Answer:
D.) y=-12
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helped you!! :)
If 3/4 and 12/x are equlvalent, what is the value of x?
Answers
Answer:
[tex] \frac{3}{4} = \frac{12}{x} \\ 3x = (12 \times 4) \\ x = \frac{(12 \times 4)}{3} \\ x = (4 \times 4) \\ x = 16[/tex]
Answer:
x = 16
Step-by-step explanation:
so 3/4 = 12/x
you Can multiply 3/4 by 4 to get
12/16 = 12 / x
you can assume x = 16 since the numerators are the same
If a = -3, find the value of
a) 2a
b) a2
c) 3a2
Answers
Step-by-step explanation:
Given
a = - 3
for a)
= 2* (-3)
= -6
for b)
= (-3)²
= 9
for c)
= 3 * (-3)²
= 3 * 9
= 27
Hope it helps :)
An item on sale costs 95% of the original price. If the original price was $40, what is the sale price?
Answers
Answer:
38%
Step-by-step explanation:
Is that an answer choice ?
A triangle has sides measuring 5 inches and 8 inches. If x represents the length in inches of the third side, which inequality gives the range of possible values for x?
Answers
Answer:
3 less than or equal to x less than or equal to 13
3 ≤ x ≤ 13
Step-by-step explanation:
Answer: The answer is A.
Step-by-step explanation:
3 < x < 13
please no fakes! ill give you brainliest
Answers
Answer:
8%
Step-by-step explanation:
$3.20/$40 = 0.08
0.08 = 8%
what is the constant of proportionality in the equation x/y=2/9
Answers
Answer:
x/y=2/9
y = 9/2 x
Step-by-step explanation:
The constant of proportionality in the equation is 9/2
Answer: C)9/2
Answer:
uh
Step-by-step explanation:
Linear equation of 5x-2y=40 and 2y+10x-6=0
Answers
Answer:
linear equation for 2y+10x=60 is y=-5x+30 .. the other one is invalid
Step-by-step explanation: