These triangles are congruent by the AAS Congruence Theorem.
What is Congruence Theorem?Congruence Theorem states that if two triangles have congruent corresponding parts then they are congruent.
Given is a figure, we need to find that which theorem proves that these two triangles are congruent
In Δ MNR and Δ QNP
∠ MNR = ∠ QNP (Vertically opposite angle property)
∠ RMN = ∠ QPN (Corresponding angle property)
RN = NQ (As given in the diagram)
Therefore,
Δ MNR ≅ Δ QNP by AAS rule
Hence proved
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The figure is not given, so the question has been solved for the attached one.
find the percentage change of 20 to 25
Answer:
Percentage change should be 25%
Step-by-step explanation:
25 - 20
---------- x 100%
20
5
---- x 100% = 25% increase
20
25 percent increase
Find the slope-intercept equation of the line that has a slope of -2 and goes through the point (5,-2).
8.
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.
y = (3x + 4)(−2x − 3)
A. linear function; linear term: −17x; constant term: −12
B. quadratic function; quadratic term: 12x^2; linear term: 18x; constant term: −12
C. quadratic function; quadratic term: −6x^2; linear term: −17x; constant term: −12
D. linear function; linear term: −6x^2; constant term: −12
Answer:
C. quadratic function; quadratic term: −6x^2; linear term: −17x; constant term: −12
Step-by-step explanation:
Answer:
quadratic function; quadratic term: −6x² ; linear term: −17x; constant term: −12
Step-by-step explanation:
The given function is
We need to expand the RHS to get:
We can see that the degree of this polynomial function is 2 and hence it is a quadratic function.
The quadratic term is -6x²
The linear term is -17x
The constant term is -12
Write inequalities if the amount of of quarts of paint needs to be between 1 and 2 quarts
Answer:
1 ≤ q ≤ 2
Step-by-step explanation:
If q represents the number of quarts of paint needed, the requirement that it be between 1 and 2 can be written ...
1 ≤ q and q ≤ 2
These inequalities can be combined into one compound inequality:
1 ≤ q ≤ 2
__
Additional comment
We have used the usual English language interpretation of "between", which allows the end values to be considered as part of the solution set. That is, 1 quart is sufficient to satisfy the need for "between 1 and 2."
The degree measure of each exterior angle of a regular octagon is represented by the expression 7x - 4. SOLVE FOR X.
Answer:
x = 4/7
Step-by-step explanation:
7x - 4
7x = 4
x = 4/7
PLEASE HELP WILL MARK BRAINLIEST
Answer:
A
Step-by-step explanation:
Expressing the identity in terms of a and b
(a + b)³ = a³ + b³ + 3ab(a + b)
Subtract 3ab(a + b) from both sides , then
a³ + b³ = (a + b)³ - 3ab(a + b) ← substitute given values
a³ + b³ = 12³ - 3(7)(12) = 1728 - 252 = 1476
Step-by-step explanation:
I hope you get it. you have to substitute and also find the value of a3 + b3
Remainder Theorem: When f(x) = ax³ + 7x² - 7x - 3 is divided by x - 1, the remainder is 7. Find the value of the constant (a)
I NEED AN ANSWER AS FAST AS POSSIBLE!!
Can you please help ASAP. It is very easy
Hello!
Let the number be x.
We multiply it by 5:
5x
Subtract 3:
5x-3
Hope it helps. Ask me if you have any query.
~An excited gal
[tex]MagicalNature[/tex] here to help
two hundred and seventeen thousandths in decimal form
Answer:
0.217
Step-by-step explanation:
hope this helps. . .<3
good luck! uωu
200.017
Thousandths is the third digit after the decimal.
helpppppp mememeememememememememeemem
Answer:
Step-by-step explanation:
1.
area of triangle=1/2×12×5=30 in²
2.
obtuse scalene triangle.
Answer:
Step-by-step explanation:
1/2×12×5=30 in²
obtuse scalene triangle
Solve for the unknown side of each right triangle
Answer:
x = 4.4 cm
Step-by-step explanation:
Since this is a right triangle, the Pythagorean Theorem applies: a^2 + b^2 = c^2, where a and b are leg lengths and c is the length of the hypotenuse.
Thus, (5.3 m)^2 + x^2 = (6.9 m)^2, or, solving for x^2:
x^2 = (6.9 m)^2 - (5.3 m)^2, or
x^2 = 47.61 - 28.09 = 19.52
Then the length, x, of the unknown side is x = +√19.52 m, or
x = 4.4 cm
y=x^(2)-8x+15 write in intercept form
plz help will mark as brainliest
Answer:
B po? I'm not sure ehh hehehe
Answer:
18
Step-by-step explanation:
2y+3y+5y=180
10y/10=180/10
Y=18
An arithmetic sequence is given below.
15, 19, 23 ,27 …
Write an explicit formula for the nth term an
Step-by-step explanation:
arithmetic sequence means every new term is the previous term plus a certain constant.
as we can see, this constant is +4 in our case.
15 + 4 = 19
19 + 4 = 23
23 + 4 = 27
...
so, we have
a1 = 15
a2 = a1 + 4 = 15 + 4 = 19
a3 = a2 + 4 = a1 + 4 + 4 = a1 + 2×4 = 15 + 8 = 23
...
an = an-1 + 4 = a1 + (n-1)×4 = 15 + (n-1)×4
Harper is knitting a scarf for her cousin's birthday. She plans to knit every night, making the scarf 5 centimeters longer each night. Write an equation that shows the relationship between the number of nights Harper spends knitting, x, and the length of the scarf in centimeters, y.
The equation that shows the relationship between x and y is:
y = 5x
A linear equation is in the form:
y = mx + b
where m is the rate of change and b is the initial value of y, y, x are variables.
Let x represent the number of nights knitting and y represent the length of the scarf.
The equation that shows the relationship between x and y is:
y = 5x
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Please help asap!!!
Will give brainliest
Answer:
33/2 or
Step-by-step explanation:
2x−7
4
=
x+3
3
(2x−7)*(3)=(x+3)*(4)
6x−21=4x+12
Step 2: Subtract 4x from both sides.
6x−21−4x=4x+12−4x
2x−21=12
Step 3: Add 21 to both sides.
2x−21+21=12+21
2x=33
Step 4: Divide both sides by 2.
2x/2
=
33/2
x=
33/2
Answer:
x = 33/2 = 16 1/2
Step-by-step explanation:
You can clear fractions first, or you can work with the fractions as is.
(2x -7)/4 = (x +3)/3
2/4x -7/4 = 1/3x +1 . . . . . eliminate parentheses
(1/2 -1/3)x = 1 +7/4 . . . . . add 7/4 -1/3x
1/6x = 11/4 . . . . . . . . . . . simplify
x = 66/4 = 33/2 . . . . . multiply by 6, reduce the fraction
Which ordered pair represents a solution to both equations?
Answer:
-3,-1
its obvious because all you're doing is plting points
The Batpod and The Falcon Cycle are traveling down the
highway. That Batpod can travel at a speed of 4 miles
per minute; while the Falcon Cycle can double that at a
speed of 8 miles per minute. If Falcon gives Batman a 6
minute head start. How long will Batman have traveled
before Falcon catches him?
I need help so I can turn in my Packet?!?!?
Write an equation of a line
that passes through the
points
(-6,0) and (0,-24).
Answer:
y= -4x-24
Step-by-step explanation:
change in y/change in x = 0- -24/-6-0 = 24/-6 = -4
gradient is -4
then you put a set of coradinates into the formular y-y=m(x-x)
y - 0= -4 (x+6)
y-0=-4x-24
y=-4x-24
Answer:
4x +y = -24
Step-by-step explanation:
The given points are the x- and y-intercepts. It is convenient to write the equation in intercept form:
x/a +y/b = 1 . . . . . . x-intercept 'a', y-intercept 'b'
x/-6 +y/-24 = 1 . . . . . equation in intercept form
4x +y = -24 . . . . . . . equation in standard form (multiply by -24)
the container that holds the water for the football team is 1/3 full. after pouring in 13 gallons of water, it is 5/6 full. how many gallons can the container hold?
Help plz this is difficult
Please explain how to get the measure of the angle because khan academy did not
Thanks
-Tornado
To begin, remember that the sum of all angles must equal 180.
With that being said, take your two known angles into account.
1 - X = Unknown
2 - 102
3 - 48
To find x, simply add 102 and 48.
102 + 48 = 150, the sum of angle 2 & 3.
Remember that the sum of the whole figure must be 180. With that being said, subtract 180 and 150.
180 - 150 = 30
x = 30
To double check, add all the sides together.
102+48+30 = 180
-4(5+20)=16. S+20=-4. S=
Answer:
s = -24
Step-by-step explanation:
-4(-24 + 20) = 16 TRUE
-24 + 20 = -4 TRUE
(Are there any options for the missing description bit? I'm a little confused what needs to be answered there)
What is Abacus in terms of maths ?
Answer:
An abacus is a calculation tool used by sliding counters along rods or grooves, used to perform mathematical functions. In addition to calculating the basic functions of addition, subtraction, multiplication and division, the abacus can calculate roots up to the cubic degree.
Which is better to buy 12 cans for $9.00 or 4 cans for $3.00.
SHOW YOUR WORK please
Answer:
Both are equal prices per can
Step-by-step explanation:
9/12 = 3/4 = .75 per can
3/4= .75 per can
PLEASE HELP ME SOLVE YOULL GET BRAINLY AND POINTS
4m-k=m;for m
Answer:
m=k-3
or if you meant this answer
m=1.5
Step-by-step explanation:
This should be correct but I apologize if it is not. I would appreciate the brainiest.
an online music store sells 15 songs for $12. Another online music store sells 10 songs for $9. Which online store has the lower cost per song?
Answer:
The second store (10 songs for $9)
Step-by-step explanation:
15 songs/$12 = $1.25 per song
10 songs/$9 = $1.11 per song
Answer:
second
Step-by-step explanation:
second bc if you cross multiply 135>120
Colby and Cheryl work in different local factories. Colby regularly earns $18 per hour, and he is paid time-and-a-half for each hour of overtime he works. Cheryl regularly
earns $16.60 per hour, and she is pald double time for an hour of overtime. Who earns more for one hour of overtime?How much more?
.85
Answer: Cheryl earns $6.20 more per hour.
Step-by-step explanation:
$/hr OT $/hr OT
18 1.5 27
16.6 2 33.2
Cheryl wins the overtime pay rate with $33.20/hr OT (OverTime). She earns $6.20 more per hour. [How's it feel, Colby?].
Cheryl earns more from overtime than Colby by $6.2 per hour.
Given that,
Colby regularly earns $18 per hour, and he is paid time-and-a-half for each hour of overtime he works.
Cheryl regularly earns $16.60 per hour, and she is paid double time for an hour of overtime.
To determine who earns more for one hour of overtime and wow much more.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
From given
The factor of earning overtime for Colby = 1.5
earning of from overtime for an hour of Colby = 18 * 1.5 = $27
The factor of earning overtime for Cheryl = 2
earning of from overtime for an hour of Cheryl = 16.60 * 2= $33.20
So,
33.20 > 27
Implies
Their overtime earnings
of Cheryl is greater than Colby's by 33.20 - 27 = $6.2 per hour.
Thus, Cheryl earns more from overtime than Colby by $6.2 per hour.
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The table below shows a proportional relationship. True or False?
Answer:
True
Step-by-step explanation:
Half-Price books is having a "sidewalk sale" this weekend. The total cost varies directly with
the number of books purchased. Mrs. Cowger bought 17 books for a total cost of $42.50 If
Mrs. Kesler spends $57.50, how many books did she purchase?
O 6 books
O 12 books
O 40 books
0 23 books
According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function f(x)=(4x3−13x+11)3?
Answer:
9.
Step-by-step explanation:
The highest power is 3*3 = 9, so it's 9.