If given two triangles, which condition (s) can be used to prove it the two triangles are identical
Answers
Answer:
d. all of the above
Step-by-step explanation:
_______
Related Questions
Sum of 5x^2+2x and 4-x^2
Answers
Answer:
4x^2 + 2x + 4
Step-by-step explanation:
5x^2 + 2x + 4 - x^2
4x^2 + 2x + 4
Answer:
2(2x^2 + x + 2)
Step-by-step explanation:
5x^2+2x + 4-x^2
Re arrange so like terms are next to each other
Keep the same symbol that is at the front of the term when moving it
5x^2 - x^2 + 2x + 4
We will just do the first part first
5x^2 - x^2
5x^2 - 1x^2 (is the same thing as above)
So because they are like terms (are both x^2)
We can just minus 1 from 5
5-1=4
So 4x^2
Now the equation is
4x^2 + 2x + 4
This is as small as it gets but you can also bring it to this
4, 2 and 4 all are divisible by 2 so
2(2x^2 + x + 2)
Find z such that 97.5% of the standard normal curve lies to the left of z. (Enter a number. Round your answer to two decimal places.)
Answers
Answer:
z=1.96
Step-by-step explanation:
Using normal distribution table or technology, 97.5% corresponds to z=1.959964, generally denoted z=1.96, or 1.96 standard deviations above the mean.
(above value obtained from R)
Can someone help me solve this please
Answers
Explanation: I checked on desmos graphing calculator! I would check out that source online :)
A bag has 3 res marbles, 2 blue, 1 yellow and 4 green . What is the probability of pulling a green
Answers
Answer:
4/10 but simplified = 2/5
Step-by-step explanation:
Add the marbles up, there are 4 green, so it's 4/10
But if you simplify it, it would be 2/5
I hope this helped!
The endpoints of DEF are D(1, 4) and F(16, 14).
Determine and state the coordinates of point E, if
DE: EF = 2:3.
Answers
Answer:
The coordinates of point E are (7,8).
Step-by-step explanation:
Point E:
Is given by (x,y).
DE: EF = 2:3.
This means that, for both coordinates x and y:
[tex]E - D = \frac{2}{2+3}(F-D)[/tex]
[tex]E - D = \frac{2}{5}(F-D)[/tex]
x-coordinate:
x-coordinate of D: 1
x-coordinate of F: 16
[tex]E - D = \frac{2}{5}(F-D)[/tex]
[tex]x - 1 = \frac{2}{5}(16-1)[/tex]
[tex]x - 1 = 2*3[/tex]
[tex]x = 7[/tex]
y-coordiante:
y-coordinate of D: 4
y-coordinate of F: 14
[tex]E - D = \frac{2}{5}(F-D)[/tex]
[tex]y - 4 = \frac{2}{5}(14-4)[/tex]
[tex]y - 4 = 2*2[/tex]
[tex]x = 8[/tex]
The coordinates of point E are (7,8).
A company ordered 21 printers and 33 computers at a total cost of $22,530. Another
order of 28 printers and 36 computers cost $25,800. Find the cost of each printer and
each computer,
Answers
Answer:
The cost per printer is $240 and the cost per computer is $530
Explanation:
Make the equation from both parts of the problem and solve them.
if tan theta is equal to 12/5 find the value of sin theta + 2 cos theta over 1 minus sine theta
Answers
Step-by-step explanation:
the answer is in the image above
Need help with graphs
Answers
Answer:
I think C
Step-by-step explanation:
because number 1 the Y intercept is -2 so it crosses the line at -2 and second thing is the gradient is negative and if you find out the gradient in c it comes it as -2.
gradient = change in y/change in x
GIVING BRAINLIEST!!!!!!
Answers
Answer:
B-2
Step-by-step explanation:
To find the constant of dilation take the lead of EF and divide it by the length of AB to get (6/3)=2
A motorbike covers the first 25km in 2 hours next 30 km in 3 hours and the remaining 35 km in 4 hours. Find the average speed of the motorbike
Answers
Answer:
10km per hour
Step-by-step explanation:
Distance = speed * time
speed = distance/time
------------------------
Distance traveled
25 + 30 + 35 = 90 km
Time
2 + 3 + 4 = 9 hours
Average peed
90/9 = 10km per hour
LABEL THE DIGITS
IN THE DIAGRAM
[tex] {6}^{4} [/tex]
4-
6 -
Answers
Answer:
4 is the exponent
6 is the base
Step-by-step explanation:
6^4
The 6 is the base and the 4 is the exponent
Use the slope formula to find the slope of the line through the points (2,10) and (10,−8).
Answers
The slope formula is the changes of two y-values over/to the changes of two x-values.
[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]
Substitute two given points in the formula to find the slope. The m-term represents the slope from y = mx+b.
[tex]\large{m = \frac{10 - ( - 8)}{2 - 10} } \\ \large{m = \frac{10 + 8}{ - 8} } \\ \large{ m = \frac{18} { - 8} \longrightarrow \frac{9}{ - 4} } \\ \large \boxed{m = - \frac{9}{4} }[/tex]
Answer
The slope is -9/4.Hope this helps and let me know if you have any doubts!
Answer:
m=-9/4
Step-by-step explanation:
Hi there!
The formula for the slope (m) calculated from two points is given as (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are points
we are given the two points (2,10) and (10,-8)
to avoid any confusion, let's label the values of the points
x1=2
y1=10
x2=10
y2=-8
now substitute into the formula:
m=(-8-10)/(10-2)
subtract
m=(-18)/(8)
simplify (reduce to lowest terms)
m=-9/4
Hope this helps!
Which of these statements is correct? The system of linear equations 6 x minus 5 y = 8 and 12 x minus 10 y = 16 has no solution. The system of linear equations 7 x + 2 y = 6 and 14 x + 4 y = 16 has an infinite number of solutions. The system of linear equations 8 x minus 3 y = 10 and 16 x minus 6 y = 22 has no solution. The system of linear equations 9 x + 6 y = 14 and 18 x + 12 y = 26 has an infinite number of solutions
Answers
Answer:
The only true statement is:
"The system of linear equations 8x - 3y = 10 and 16x - 6y = 22 has no solution."
Step-by-step explanation:
First, some definitions.
A system of linear equations has infinite solutions if both equations define the same line, has no solutions if we have two parallel lines, has one solution in all the other cases.
Where two lines are parallel if we can write them as:
a*x + b*y = c
a*x + b*y = d
where c and d are different numbers.
Now we can analyze the given statements:
a)
6x - 5y = 8
12x - 10y = 16
has no solution?
If we divide both sides of the second equation by 2, we get:
(12x - 10y)/2 = 16/2
6x - 5y = 8
We get the first equation, then both equations define the same line, thus the system has infinite solutions, then the statement is false.
b)
7x + 2y = 6
14x + 4y = 16
has infinite solutions?
Let's divide the second equation by 2, then we get:
(14x + 4y)/2 = 16/2
7x + 2y = 8
If we rewrite our system of equations, we get:
7x + 2y = 6
7x + 2y = 8
These are parallel lines, thus, this system has no solutions.
So the statement is false.
c)
8x - 3y = 10
16x - 6y = 22
has no solution?
Again, let's divide the second equation by 2 to get:
(16x - 6y)/2 = 22/2
8x - 3y = 11
If we rewrite our system:
8x - 3y = 10
8x - 3y = 11
These are parallel lines, thus the system has no solutions, so this statement is correct.
d)
9x + 6y = 14
18x + 12y = 26
Has infinite solutions?
Dividing the second equation by 2 we get:
(18x + 12y)/2 = 26/2
9x + 6y = 13
So the equations are different (are parallel lines again) so this system has not infinite solutions.
Then the statement is false.
Answer:
The answer to your question is the third choice.
Step-by-step explanation:
a) 6x - 5y = 8
12x - 10y = 16
We observe that these lines are the same so they have infinite solutions.
b)
7x + 2y = 6
14x + 4y = 16
These lines are parallel because they have the same slope, so they do not cross, there is no solution.
c)
8x - 3y = 10
16x - 6y = 22
These lines are parallel because they have the same slope, so they do not cross, there is no solution.
d)
9x + 6y = 14
18x + 12y = 26
These lines are parallel because they have the same slope, so they do not cross, they do not have an infinite number of solutions.
Please help show the steps
Please put 15 years old
Answers
Answer:
P = $98.77
Step-by-step explanation:
FV = p (1+i)^n -1
i
pv = 700,000
i = .075/12 = .00625
n = (66 - 15)* 12 = 612
700,000 = P (( 1 + .00625)^ 612 -1 /.00625
4375 = P (1.00625)^612 -1)
P = $98.77
Answer:
page 1:
51 years
$98.78
639546.64 (i think)
Page 2:
213 months
17.8 years
321 months
26.8 years
1128.9 months
88.8 years
I would probably choose the second plan because it's rather unlikely that i live past 90
Step-by-step explanation:
page 1
Let's assume the payments are at the end of the month
66-15= 51 years
effective rate: .075/12=.00625
[tex]700000=x\frac{(1+.00625)^{51*12}-1}{.00625}\\x=98.77973387[/tex]
which i guess we can round to 98.78
700000-98.78*(51*12)= 639546.64
This number is really really high and so maybe you want to double check it
page 2
effective rate: .051/12=.00425
[tex]700000=5000\frac{1-(1+.00425)^{-n}}{.00425}\\.405=(1+.00425)^{-n}\\log_{1.00425}.405=-n\\n=213[/tex]
213 months
213/12= 17.8 years
[tex]700000=4000\frac{1-(1+.00425)^{-n}}{.00425}\\.25625=(1.00425)^{-n}\\log_{1.00425}.25625\\n=321[/tex]
321 months
321/12=26.8 years
[tex]700000=3000\frac{1-(1+.00425)^{-n}}{.00425}\\.008333333=(1.0045)^{-n}\\log_{1.0045}.00833333=-n\\n=1128.9[/tex]
1128.9 months
1128.9/12= 94.1 years
1066 months
1066/12= 88.8 years
To start a shop Rajeev and sneha invested $2,75,280 and $5,35,870 .if they needed $ 8,85,356 .How much money should they need more ?
Answers
Answer:
$74,206
Step-by-step explanation:
Total money : $2,75,280 + $5,35,870 = $8,11,150
Amount needed : $8,85,356 - $8,11,150 = $74,206
Often when you try to learn new vocabulary words, you find that after a few days you have forgotten some of
what
you learned. Suppose you cram for a big test and memorize 100 new words, and, for each day after the
test, you forget 10 percent of the words you learned.
How many words will you remember after two weeks
Answers
Hope this helps!
Answer:
you will remember none of the words.
Step-by-step explanation:
10%of hundred words is 10.
students attend school for 5 days in a week.So if one is to forget 10 words out of 100 words every day for two weeks after a test,one loses all words.
5×10=50
for two weeks=
50×2=100.
Which statements are true of the function f(x) = 3(2.5)x? Check all that apply.
The function is exponential.
The initial value of the function is 2.5.
The function increases by a factor of 2.5 for each unit increase in x.
The domain of the function is all real numbers.
The range of the function is all real numbers greater than 3.
Answers
Answer:
A) The function is exponential.
C) The function increases by a factor of 2.5 for each unit increase in x.
D) The domain of the function is all real numbers.
Step-by-step explanation:
Got it right on Edge :)
Answer:
a,c,d are correct
Step-by-step explanation:
The number of adults who attend a music festival, measured in hundreds of people, is represented by the function a(d)=−0.3d2+3d+10, where d is the number of days since the festival opened.
The number of teenagers who attend the same music festival, measured in hundreds of people, is represented by the function t(d)=−0.2d2+4d+12, where d is the number of days since the festival opened.
What function, f(d) , can be used to determine how many more teenagers than adults attend the festival on any day?
f(d)=−0.1d2+d+22
f(d)=0.1d2+d+2
f(d)=−0.1d2+7d+2
f(d)=0.1d2+7d+2
Answers
Answer:
f(d)=0.1d^2+d+2
Step-by-step explanation:
t(d)=−0.2d2+4d+12
a(d)=−0.3d2+3d+10
how many more teenagers than adults attend the festival on any day?
==>
f(d) = t(d) - a(d)
=0.1d^2+d+2
does x^2+y^2=9 represent y as a function of x?
Answers
No, x²+y²= 9 does not represent y as a function of x.
For x= 0,
y²= 9
=>y= ±3,
i.e y has two values +3 and -3
Since single value of x , there are two values of y
For an equation or relation to be function every element in domain( every value of x) there should one distinct value or image in co-domain (one value of y)
Oliver is building a rectangular dog pen with an area of 18.9 square feet. If the length of the dog pen is 6.3 feet, what is the width?
Answers
Answer:
3 feet
Step-by-step explanation:
A = l x w Formula
18.9 = 6.3 x w Substitution
18.9/6.3 = w Division
3 = w Solution
1. A jeepney driver claims that his average monthly income is Php 3000.00 with a standard deviation of Php 300.00. A sample of 30 jeepney drivers were surveyed and found that their average monthly income is Php 3500.00 with a standard deviation of Php 350.00. Test the hypothesis at 1% level of significance?
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
The hypothesis :
H0 : μ = 3000
H0 : μ ≠ 3000
The test statistic :
(xbar - μ) ÷ (s/√(n))
xbar = 3500
μ = 3000
σ = 300
n = 30
(3500 - 3000) ÷ (350/√(30))
Test statistic = 7.824
Df = 30 - 1 = 29
Tcritical at 0.01 = 2.462
Test statistic > critical value ; we reject H0 ; and concluded that there is significant evidence that
μ ≠ 3000
2) 13 candy bars weigh 26 ounces. What is the
weight of 35 candy bars?
Answers
Answer is 70 ounces
Step-by-step explanation:
13 candy bars weigh =26 ounces
1 candy bar weighs=26/13=2 ounces
35 candy bars weigh=2x35=70 ounces
Step-by-step explanation:
hear is your answer in attachment
X Y
-10 2
-15 3
-25 5
Determine whether y varies directly with x. If so, find the constant of variation and write the equation
Answers
Answer:
x = -5y
Step-by-step explanation:
x = ay
-10 = 2a
a = -5
x = ay
-15 = 3a
a = -5
x = ay
-25 = 5a
a = -5
Solve for X in the triangle. Round your answer to the nearest tenth
Answers
Answer:
[tex]\displaystyle x \approx 9.9[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 64°
Opposite Leg = x
Hypotenuse = 11
Step 2: Solve for x
Substitute in variables [sine]: [tex]\displaystyle sin(64^\circ) = \frac{x}{11}[/tex][Multiplication Property of Equality] Multiply 11 on both sides: [tex]\displaystyle 11sin(64^\circ) = x[/tex]Rewrite: [tex]\displaystyle x = 11sin(64^\circ)[/tex]Evaluate: [tex]\displaystyle x = 9.88673[/tex]Round: [tex]\displaystyle x \approx 9.9[/tex]PLS HELP! If m(x) = 2x3 – 3x + 12, what is the value of m(-2)?
Answers
Answer:
[tex]m(x) = 2 {x}^{3} - 3x + 12 \\ m( - 2) = 2 {( - 2)}^{3} - 3( - 2) + 12 \\ = 2[/tex]
What is the solution to problem 1.5? Please explain how you got to that conclusion.
Answers
A bill for Rs 3235 was drawn on Feb. 3, 1998 at 6 months and discounted on March 3, 1998 at 8 % p.a. Find the value of the bill and the banker's gain.
Answers
Answer:
RS 3127.166
RS 107.834
Step-by-step explanation:
6 month bill :
Drawn date = Feb, 3
Discounted date = March 3,
Difference = 1 month
6 month - 1 month = 5 months = 5 * 30 = 150 days
Value of the bill :
P(1 - rate * time)
3235(1 - 0.08 * 150/360)
3235(1 - 0.08 * 0.4166666)
3235(1 - 0.0333333)
3235(0.9666666)
= Rs3127.1666
Value of bill = 3127.166
Bankers gain = 3235 - 3127.166 = 107.834
What is the mean of the data?
Answers
Answer:
The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.
In circle E with m DGF = 27, find the mZDEF.
Answers
Hope this help!!!
Have a nice day!!!
the ratio of the length of a rectangular floor to its width is 3:2 if the length of the floor is 12 meters what is the perimeter of the floor in meters
Answers
9514 1404 393
Answer:
40 meters
Step-by-step explanation:
The ratio of width to length is 2/3, so the width of the floor is ...
width = (2/3)(12 m) = 8 m
The perimeter is found from ...
P = 2(L +W)
P = 2(12 m +8 m) = 40 m
The perimeter of the floor is 40 m.
_____
Additional comment
As above, the perimeter is twice the sum of length and width. In terms of ratio units, that is p = 2(3 +2) = 10. The length is 3 ratio units, so the perimeter is 10/3 times the length. (10/3)(12 m) = 40 m.
