2. Write the congruence statement you are missing in order to prove the triangles are congruent for the given
reason.
Answers
A) In order to prove that these triangles are congruent by SAS, we need to have two sides of one triangle congruent to two sides of another triangle and an angle of one triangle (that’s included between the sides) is congruent to an angle of another triangle, the triangles are congruent.
We know that side OU is congruent to itself based on the reflexive property and we have a pair of right angles. However, we don’t know that sides MU is congruent to sides NU which would be our final step to prove these triangles are congruent by SAS.
So we are missing that sides MU and NU are congruent.
For part b, we have a pair of vertical angles which means they are congruent and <F and <S are congruent. For ASA, we need two angles and the included side of one triangle congruent to two angles and the included side of a second triangle.
We are not told that PQ and SQ have the same length, so this would be the information we would need to say these triangles are congruent by ASA.
Related Questions
Please help me with this
Answers
Step-by-step explanation:
such an equation is a simple linear function :
y = ax + b
b is in this case the flat fee, and a (the slope) drives the incline of the function for various numbers of students x.
our job is now to find the correct a and b values.
we do this by using the informative we have and create 2 equations for a and b, and then we solve this system.
132.5 = a×25 + b
145 = a×30 + b
now, we can use a little trick and simply subtract the whole first equation from the second equation.
145 = a×30 + b
- 132.5 = a×25 + b
------------------------------
12.5 = a×5 + 0
5a = 12.5
a = 2.5
with this we go into one of the original equations, e.g. the second one :
145 = 2.5×30 + b = 75 + b
70 = b
so, it full equation is
y = 2.5x + 70
the costs for 85 students are
y = 2.5×85 + 70 = 212.5 + 70 = $282.50
answer the three questions pls
Answers
3.60 divided by 12 is 0.3 or 30 cents. 5 divided by 20 is 0.25 or 25 cents. 6.40 divided by 32 is 0.20 or 20 cents
4.
Which of the following is the minimum value of the equation y= 1/3x^2 + 2x + 5?
A. 1/3
B. -3
C. 2
D. 5
Answers
Answer:
C. 2
Step-by-step explanation:
Use the formula
x = − b /2 a
to find the maximum and minimum.
( − 3 , 2 )
There are mangoes and oranges in a basket in the ratio 7: 11. If the total number of fruits is 720, then how many mangoes are there in the basket?
Answers
Answer:
280 mangoes
Step-by-step explanation:
sum the parts of the ratio, 7 + 11 = 18 parts
Divide the total by 18 to find the value of one part of the ratio.
720 ÷ 18 = 40 ← value of 1 part of the ratio , then
7 × 40 = 280 ← number of mangoes
Answer:293
Step-by-step explanation:
720-719= 1
1+292= 293
help ? yes ? no ? maybe ?
Answers
Answer:
They are proportional
Step-by-step explanation:
Proportionality:
They are proportional because the cost is going up by 10 the entire time and the hours rented is going up by 2 the entire time.
Graphing:
Go to the 2 on the x-axis (horizontal line)
Go up to the 20 on the y-axis (vertical line)
The points to graph are:
(2,20)
(4,30)
(6,40)
(8,50)
I put a pic of what your graph should look like below!
Answer:
To plot the graph put the hours along the x axis and the cost on the y axis. Its a positive realationship because when the hours go up the cost goes up to, it isn't proportional because both values don't go up at the same rate.
Step-by-step explanation:
Which graph is right?
Answers
Answer:The first option is correct
Step-by-step explanation:
Answer:
3rd option
Step-by-step explanation:
3rd option because m is bigger than or equal -2 which means that it is going to be from [-2,infinity[
Halppppppppppppp..............
Answers
Answer:
1 2/3, and -1 2/3
Step-by-step explanation:
Im wondering how old you are, and since you seem young just based off the math you're asked to do, please listen to the explanation and teach yourself this. This skill in particular is SOOO important to the rest of the math world. So since your number line is already divided into thirds, there are two ways you could find your answer. One, you can count 5 thirds away from zero, or two, you could simplify 5/3 from an improper fraction to a mixed number (1 2/3) and find your spot from there. "and the opposite" means not only the point 5/3 Away from zero on the Right, but also 5/3 away from zero on the Left. start from zero again and count the same amount away but in the opposite direction. With negatives it can help to think of how all numbers are just descriptions of how far left or right a number is from zero. i hope this helped lol, negatives are a confusing batch, but they're so so important to math as a whole.
The arithmetic sequence 1, 3, 5, 7, 9,. . . Represents the set of odd natural numbers. What is the explicit rule for the sequence? ak = (k - 1).
Answers
The explicit rule for the sequence is Tn = 2n - 1
Given the sequence 1, 3, 5, 7, 9...
The explicit formula for the nth term is expressed as:
[tex]T_n=a+(n-1)d[/tex]
a is the first term = 1
d is the common difference = 3 - 1 = 5 - 3 = 2
n is the number of terms
Substitute the given parameters into the formula to have;
[tex]T_n = 1+(n-1)(2)\\T_n=1+2n-2\\T_n=2n-1[/tex]
Hence the explicit rule for the sequence is Tn = 2n - 1
Learn more on AP here: https://brainly.com/question/24072079
Answer:
1st: 1+(k-1)2
2nd: 399
3rd: C
4th: 40,000
Noah earns $9.65 per hour. How much will he
earn next week if he works 18 hours?
Answers
Answer:
$1215.90
Step-by-step explanation
You take Noah's pay per hour of $9.65 then multiply it by how many hours he works 18. You then take that and multiply it by 7 for the days of the week.
right now michael earns an annual salary of $46,023 he is Considering a job offer with an annual salary of $51,145 what is the difference in the monthly pay for these two jobs rounded to the nearest cent
Answers
Answer: The job pays $32,400 per year, and the agency fee is equal to 45% of one month's pay.
r(2)=120 and r(4)=378 divide the difference in the r(x) values by the difference in the x-value
Answers
Answer:
im not sure ask siri
Step-by-step explanation:
she knows everything
i need this answer answered for me asap
Answers
Answer: i think it's A or D
Step-by-step explanation:
Answer:
A) x > -6
Step-by-step explanation:
X is bigger than negative 6 since the arrow of the number line is pointing to the positive numbers then that means x is one of the positive numbers.
PLEASE HELP The mean life expectancy of a certain type of light bulb is 860 hours with a standard deviation of 22 hours.
What is the approximate standard deviation of the sampling distribution of the mean for all samples with n = 65?
0.34 h
0.75 h
2.73 h
2.95 h
Answers
Answer: The correct answer is: 2.73 h.
Step-by-step explanation:
I hope this helps! :)
14. Which of the following relations has an inverse that is not a function?
(1,1),(1,2).(3,4)
(1,2).(1,3),(4,3)
(1,4),(4,5),(5,6)
(0,0),(1,1),(2, 2)
Answers
Answer:
(1,2).(1,3),(4,3)
Step-by-step explanation:
The inverse of (1,2).(1,3),(4,3) is (2, 1), (3, 1), (3, 4) and this is not a function as a function is a set X to a set Y, not multiple to one.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
I need help with question 5
Answers
Answer:Hi!
where is the question?
Step-by-step explanation:
Find the slope of the line that passes through (7,1) and (6,8)
Answers
Answer:
-7
Step-by-step explanation:
[tex]\frac{(8-1)}{(6-7)}[/tex] = [tex]\frac{7}{-1}[/tex] = -7
a rule in a relation in which each input is paired with, or assigned to, exactly one output.
Answers
Answer:
Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
Step-by-step explanation:
HOW TO COUNT BY 5 AND 10 'S HOW TO COUNT BY 20 AND A WHAT IS 9-4 AND 5-7
Answers
Me podrian ayudar con estas equaciones de 2º grado pliss?
[tex]x^{2} +2x-15=0[/tex]
[tex]x^{2} -4x- 12=0[/tex]
Thankss
Answers
Step-by-step explanation:
Las ecuaciones dadas son ,
=> x² + 2x -15 = 0
Y necesitamos encontrar la solución de la Ecuación dada.
=> x² + 5x -3x -15 = 0
=> x(x+5) -3(x+15) = 0
=> (x+5)(x-3) = 0
=> x = 3,-5
La segunda ecuación es,
=> x² -4x -12 = 0
=> x² -6x+2x-12=0
=> x(x-6)+2(x-6) = 0
=> (x+2)(x-6) = 0
=> x = 6,-2
Espero eso ayude :)
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Write the prime factorization of 315.
315 =
(TRY TO ANSWER THIS WHILE UR AT IT PLS?
Answers
Answer:
315 = 3^2 × 5^1 × 7^1
Step-by-step explanation:
[tex]\sf 6-2x+5+4x[/tex]
Last one! bye!
Thanks!
Answers
[tex]\sf 6-2x+5+4x[/tex]
[tex]\sf \longmapsto - 2x + 4x + 6 + 5[/tex]
[tex]\sf \longmapsto - 2x + 4x + 11[/tex]
[tex]\sf \longmapsto2x + 11[/tex]
Give one example of an urban area and one example of a rural area.
Answers
Answer:
An urban area would be New York City, a rural area would be a small town in western Kansas.
Step-by-step explanation:
Solve.
−5x+6=−4(2x−1)
x=−14/3
x=−10/13
x=−2/3
Answers
Answer:
x=-2/3
Step-by-step explanation:
find the length of segment AB
Answers
Answer:
E. 214
Step-by-step explanation:
Since the other angles of the triangle are congruent, and separated creates 2 right triangles, this means that segment (because i cant put the actual names for some reason) A to F and segment F to B are equal
8x - 37 = 5x + 17
3x = 54
x = 18
Now substitute to check
8(18) - 37 = 5(18) + 17
107 = 107
So if this is true, to find the segment A to B, just add segments A to F and F to B together
107 + 107 = 214
The length of segment AB is 214
What is 2 and 2/3 x 5
Answers
Answer:
13 and 1/3
Step-by-step explanation:
2×5=10
2/3 ×5 =10/3
10/3 simplifies to 3 and 1/3
Add them together to get 13 and 1/13
What is the slope for this table?
Give an explanation.
Answers
Answer:
the shape of the graph is a vertical straight line. So the angle is 90°
So tan 90° = infinite
Answer: The slope is undefined.
Step-by-step explanation:
The slope is undefined because it is based on the Rise (y) over the Run (x) of the data points. X is not changing even as y goes from -2 to 8. If we took the first and last points, (-1,-2) and (-1,8) and go from left to right, y increases by (8-(-2)) = 10 while x is unchanged, or o. Rise/Run therefore becomes 10/0. Division by 0 is undefined in math, so the slope is undefined.
This is a straight vertical line going through x = -1. All y's are on this line. Undefined slope.
Rewrite each of the following expressions without using absolute value.
a) |a| if a>0
b) |2b| if b<0
c) |c| if c <0
d) |3c| if c≥0
Answers
Answer:
a) answer is "a"
b) answer is "-2b"
c) answer is "-c"
d) answer is "3c"
Step-by-step explanation:
Absolute value is positive value of something.
a>0 then a must be positive so absolute value means nothing if a is already positive. Therefore answer is a.
b<0, so b must be negative. absolute value makes 2b positive but you know b is negative so answer is -2b.
c<0 same as a except sign is flipped so answer is negative instead of positive.
c>=0, C is either 0 or positive so absolute value does nothing yet again so answer is just 3c.
Sorry is explanation wasn't through i'm only in middle school
a. | a | > 0, a is greater than and less than zero.
b. | 2b | if b < 0, b is not less than zero not greater than zero.
c. | c | if c < 0, c is not less than zero not greater than zero.
d. | 3c | if c ≥ 0, c is greater than zero and less than zero.
What is an absolute value function?We know the absolute value function of the modulus function always outputs a positive value irrespective of the sign of the input.
In piecewise terms | x | = x for x ≥ 0 and | x | = - x for x < 0.
Given,
| a | > 0
∴ a is greater than and less than zero.
| 2b | if b < 0
b is not less than zero not greater than zero.
| c | if c < 0
c is not less than zero not greater than zero.
| 3c | if c ≥ 0.
c is greater than zero and less than zero.
learn more about modulus functions here :
https://brainly.com/question/13103168
#SPJ2
The perimeter of a rectangle is 30 inches. If the length of the rectangle is 10 inches, which equation could be used to find the width of the rectangle "w" in inches
Answers
Answer:
30=2(10 x w)
Step-by-step explanation:
P=2(l x w)
Perimeter(P) equals two times length(l) times width(w)
Hope this helps
Choose which diagram shows the correct markings of the sides and angles of the following congruent triangles.
Answers
Answer:
D IS THE CORRECT ANSWERRR
Step-by-step explanation:
IN DIAGRAM D
G = Q
I = R
H = S
SO, THEY ARE SIMILAR
1/243 as an expression using a negative exponent other than -1
Answers
Answer: To get the expression with negative exponent, we need to convert the number 1024 in exponential form
Replace the denominator by 2^10
Now we apply exponential property
negative exponent other than -1 is