The two triangles are equivalent triangles
Flowchart proofs are organized with boxes and arrows.
The statements given are written in the box and the reason of that statement is written just below the box.
Every statement if flowchart proof complements other statement.
The correct answer is
∠AZ = ∠BX
The two triangles are equivalent triangles.
Learn more at https://brainly.com/question/24319270
SHORT ANSWER
Question 3
This expression has three restrictions. What are they?
(3x^2-3x/x-2)/(2x-10/x-4)
Answer in a complete sentence.
Answer:
The restrictions are x≠2,4,5
Step-by-step explanation:
First the denominators cannot be zero
x-2 ≠0 so x≠2
Then x-4 ≠0 so x≠4
Also, since we are dividing, when we flip the second expression, the numerator becomes the denominator, so it cannot be zero
2x-10≠0
2x≠10
x≠5
The restrictions are x≠2,4,5
Please help out explanation need it will
Answer:
A=2(wl+hl+hw)
A=2(6ft×7ft+6ft×7ft+6ft×6ft)
A=2(42ft²+42ft²+36ft²)
A=2(120ft²)
A=240ft²
Step-by-step explanation:
can somebody please help meee??
Answer: d. He multiplied when he was supposed to divide
Step-by-step explanation:
He just multiplied across when he was supposed to divide (or cross multiply) to find the unit rate :)
If there is an x find the value of it if not explain what needs to be given
Answer:
x value is 7
the answer is 7
6 less than twice a number
Answer:
6-2x
Step-by-step explanation:
six less than (subtraction) twice a number. 2 times a number x
532 - 308 is the same as blank - 300
Answer:
524
Step-by-step explanation:
First find the number we want to find
532 - 308 = 224
Set blank -300 equal to the number
blank - 300 = 224
Add 300 to each side
blank -300+300 = 224+300
blank = 524
A special blend of wild birds because 16.99 for 20 pounds to the nearest penny how much will 50 pounds cost
Answer:
42.475; approximately (42.48)
Step-by-step explanation:
So, first you would need to divide 16.99 by the 20 pounds and then multiply that by the 50 pounds which should give you your total answer. it should look like this:
16.99 divided by 20= 0.8495
0.8495 times 50= 42.475; approximately (42.48)
Hope this helps you out!!! :)
If i have 30 Apples I Give 12 to My Friend And She Gives 7 to Her Grandma How Much Would I Have?
What is the greatest common factor of 30, 45, and 90?
Answer:
15
The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
The factors of 45 are: 1, 3, 5, 9, 15, 45
The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Then the greatest common factor is 15.
can you guys please help me
Answer:
x^2 - 9
-------------
x^2 - 4
Step-by-step explanation:
x+3 x-3
------ * -----------
x+2 x-2
Notice that the numerator is the difference of squares and the denominator is the difference of squares
(a+b)(a-b) = a^2 - b^2
(x^2 - 3^2)
------------------
x^2 - 2^2
x^2 - 9
-------------
x^2 - 4
Answer:
A...
the parts of theis problem are "special factors" or conjugates
(a+b) (a-b) = a^2 - b^2
you have two of those (x+3)(x-3) = x^2-9
and (x+2)(x-2) = x^2 -4
Step-by-step explanation:
Find the height of the triangle by applying formulas for the area of a triangle and your
knowledge about triangles.
A. 5.3yds
B.3.7yds
C.1.9yds
D.2.6yds
Answer:
h=2.142
Step-by-step explanation:
Area of triangle(a)=1/2 b* h
Area of scalene traingle(a)=√s(s-a)(s-b)(s-c)
Semi perimeter(s)=(a+b+c)/2=(6+10+14)/2=15 yd
√s(s-a)(s-b)(s-c)=√15(15-6)(15-10)(15-14)=√15*9*5*1=√225=15 yd
Area of triangle(a)=1/2 b* h
15*2=14*h
30/14=h
h=2.142
You dont have any of those options so it might a mistake.
The ratio of the length and the breadth of rectangle is 2:1.If the rectangle is 12m long, find the its breadth
Answer:
6m
Step-by-step explanation:
The ratio of the length and the breadth of rectangle=2:1
Let length be 2x, then breadth = x
Now,
Length(l)=12 m
or,2x=12m
or,x=6m
x=breadth=6m
An explanation for the results is that those over the age of 55 grew up exposed to media that was displayed in black and white. Can these results be used to verify that explanation? A. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results cannot be used to verify the cause of such a difference. B. Yes. The results can be used to verify the given explanation because the difference in proportions is statistically significant. C. Yes. The results can be used to verify the given explanation because the difference in proportions is practically significant. D. No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results are not statistically significant enough to verify the cause of such a difference.
Answer:
No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the results cannot be used to verify the cause of such a difference.
Hence the correct option is option A.
The bar graph shows the median income for families in the United States from 1993 through 2000.
Which two consecutive years saw the largest increase in median income?
A. 1994–1995
B. 1997–1998
C. 1998–1999
D. 1999–2000
The two consecutive years in which there is the largest increase in the median income is option B i.e. 1997-1998.
Given that
In 1994-1995, the median income is 37,500 and 38,500.In 1997-1998, the median income is 39,700 and 41,000.In 1998-1999, the median income is 41,000 and 42,200.In 1999-2000, the median income is 42,500 and its less.So after analysis, we can conclude that The two consecutive years in which there is the largest increase in the median income is option B i.e. 1997-1998.
Learn more about the bar graph here: brainly.com/question/14894834
Please see picture for question.
Answer:
7
Step-by-step explanation:
We know that a^b^c = a^(b*c)
7 ^ 1/5 ^ 5
7^ (1/5*5)
7^1
7
help me please !! find the domain and range of the function represented by the graph. determine wether the domain is discrete or continuous.
Answer:
Domain is the whole R and the range is R+. The domain is continuous
HELP PLSSSSSSSSS i really need it right now
Step-by-step explanation:
A1= 3.5×9=31.5
A2=2×2=4
A3=(1/2) × 5×2=5
A4= (1/2)×2×2=2
At=A1+A2+A3+A4
At= 31.5+4+5+2
At=42.5
24 cars pass through an intersection each minute while the traffic light is green. In addition, 6 cars pass through the intersection
while the light is yellow. If 84 cars pass through
the intersection during one light cycle (one green light and one yellow light), how long was the green light?
Answer:
3.25 minutes
Step-by-step explanation:
3.25 minutes per green light x 24 = 78
the yellow light is a given, hence 6 cars pass through
78 + 6 = 84 cars
if cos7x-cos8x/1+2cos5x=cos(ax)-cos(bx),where a,b are positive integers, then a²+b²=??
pls help! :(
Step-by-step explanation:
[tex]hope \: its \: helful[/tex]
if cos7x - cos8x/1 + 2cos5x = cos(ax) - cos(bx), where a, b are positive integers, then a²+b²= 100.
The given equation is:
cos7x - cos8x/1 + 2cos5x = cos(ax) - cos(bx)
The LHS can be expanded as follows:
cos7x - cos8x/1 + 2cos5x = (2*cos4x*sin3x)/(2*cos2x) = sin3x
The RHS can be expanded as follows:
cos(ax) - cos(bx) = -2sin((a + b)/2)*sin((a - b)/2)
For the given equation to be true, the following must be true:
sin3x = -2sin((a + b)/2)*sin((a - b)/2)
3x = 180(a + b)/2
3x = 180(a - b)/2
Solving for a and b, we get a=6 and b=3.
Therefore, a² + b² = 6² + 3²=100.
To learn more about positive integers, here
https://brainly.com/question/26051073
#SPJ2
PLEASE HELP!!
Find an equation in general form for the straight line that passes through the point (-1.4) and is
perpendicular to the line 2x + 3y = 6
9514 1404 393
Answer:
3x -2y +11 = 0
Step-by-step explanation:
The equation of the line perpendicular to ax+by=c through point (h, k) can be written as ...
b(x -h) -a(y -k) = 0
Simplifying this will put it in general form.
__
You have a=2, b=3, (h, k) = (-1, 4), so your equation is ...
3(x +1) -2(y -4) = 0 . . . . fill in the values
3x -2y +11 = 0 . . . . . . . simplify
Please help i do not understand this question!
Answer:
Distributive property
Step-by-step explanation:
The rule being shown here is the distributive property, because the first binomial is taken apart and separately multiplied with the other binomial.
Please help Im confused and I need this to be done ASAP what is the range
Answer:
All Real Number greater than 0 or
(0, positive infinity)
Step-by-step explanation:
The range is all possible y values of a function. We can tell a range by looking at the lowest y vaule then going to the highest possible y value.
Look at the graph. There is a open circle at y=0. So this means we are not going to include 0 in our function. The graph approaches f(x) to positive Infinity so our highest y value is Infinity.
So we know that the function y values cannot be zero and it must be positive. So our range is
All Real Number greater than 0. Or
(0, positive infinity)
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Paula ran a total of 12 miles over the course of 2 track practices. What is the unit rate?
A. 6 miles
B. 6 miles per practice
C. 4 miles per practice
D. 10 miles per practice
Answer:
B. 6 miles per practice
Step-by-step explanation:
12 miles over the course of 2 track practices divided by 2
12/2 = 6
6 miles per one track practice
Find the area of a regular
polygon with 5 sides that has a
side length of 6 inches and an
apothem of 9 inches.
Answer:
Step-by-step explanation:
Height of the triangle = apothem = 9 inches
Base = 6 inches
[tex]Area \ of \ triangle = \frac{1}{2}bh\\\\=\frac{1}{2}*6*9\\\\= 3*9\\\\= 27 \ in^{2}[/tex]
Area of regular polygon = Area of 5 triangle.
= 5 * 27
= 135 square inches
Find the first term and the common difference of the arithmetic sequence whose 6th term is 30 and 12th term
is 54.
Answer:
10 and 4Step-by-step explanation:
The first term is a, common difference is d.
The 6th term:
a + 5d = 30The 12th term:
a + 11d = 54Solve the system by elimination:
11d - 5d = 54 - 306d = 24d = 4Find a:
a + 5*4 = 30a + 20 = 30a = 10Answer:
Given :-6th term = 30
12th term = 54
To Find :-First term
Common difference
Solution :-We know that
[tex] \sf \: a_{n} = a + (n - 1)d[/tex]
For 6th term
[tex] \sf \: 30 = a + (6 - 1)d[/tex]
[tex] \sf \: 30 = a + 5d[/tex]
For 12th term
[tex]\sf \: a_{n} = a + (n - 1)d[/tex]
[tex] \sf \: 54 = a + (12 - 1)d[/tex]
[tex] \sf \: 54 = a + 11d[/tex]
On subtracting both
[tex] \sf \: 54 - 30 = a + 11d - (a + 5d)[/tex]
[tex] \sf \: 54 - 30 = a + 11d - a - 5d[/tex]
[tex] \sf \: 24 = 6d[/tex]
[tex] \sf \: \dfrac{24}{6} = d[/tex]
[tex] \sf \: 4 = d[/tex]
Now
Using 2
[tex] \sf \: 54 = a + 11d[/tex]
[tex] \sf \: 54 = a + 11(4)[/tex]
[tex] \sf \: 54 = a + 44[/tex]
[tex] \sf \: 54 - 44 = a[/tex]
[tex] \sf \: 10 = a[/tex]
What is the volume of the rectangular prism in simplest terms?
Answer:
V=w*h*l
Step-by-step explanation:
w=width
h=height
l=length
volume = w*h*l
volume = w*h*l
volume = w*h*l
3. The upward velocity of the water in a particular fountain is given in feet per second by
v = -32t + 44, where t is the number of seconds after the water leaves the fountain. While
going upward the water slows down until, at the top, the water has a velocity of zero. How long
does it take each water particle to reach its maximum height?
ll,,Step-by-step explanation:
Check the attached image
Are the ratios 1:2 and 13:18 equivalent?
Answer:
No.
Step-by-step explanation:
If I multiplied 2 by 9 to get 18, I would have to do the same to the 1. This would make the ratio 9:18, not 13:18.
Therefore, these two ratios are not equivalent.
Answer:
123456789101112131415161718192021222324252627282930
Tìm giá trị lớn nhất giá trị nhỏ nhất
Cos(x+π/3)+ cos(x-π/3)
Answer:
GTLN : 1 GTNN: -1
Step-by-step explanation:
Ta có:
[tex]y=cos(x+\frac{\pi }{3} ) + cos(x-\frac{\pi }{3} ) \\ = 2.cosx.cos\frac{\pi }{3} \\ = cosx[/tex]
mà [tex]-1\leq cosx \leq 1[/tex]
Nên Max [tex]y=1[/tex] , [tex]x[/tex] ∈ [tex]R[/tex]
Min [tex]y = -1[/tex], [tex]x[/tex] ∈ [tex]R[/tex]
