Answer:
SSS (Side Side Side)
The simplest way to prove that triangles are congruent is to prove that all three sides of the triangle are congruent. When all the sides of two triangles are congruent, the angles of those triangles must also be congruent. This method is called side-side-side, or SSS for short.
SAS (Side-Angle-Side)
A second way to prove the congruence of triangles is to show that two sides and their included angle are congruent. This method is called side-angle-side. It is important to remember that the angle must be the included angle--otherwise you can't be sure of congruence. When two sides of a triangle and the angle between them are the same as the corresponding parts of another triangle there is no way that the triangles aren't congruent. When two sides and their included angle are fixed, all three vertices of the triangle are fixed. Therefore, two sides and their included angle is all it takes to define a triangle; by showing the congruence of these corresponding parts, the congruence of each whole triangle follows.
32 A bicycle seller found that if he sells
a bicycle for L.E. 1656 , his loss will be 8 %
Find the cost price of the bicycle and find
the selling price that makes him get a profit
of 12 %
Answer:
L.E. 1,800L.E. 2,016Step-by-step explanation:
1. Cost price of bike.
Let cost price be x;
x * (100% - 8%) = 1,656
0.92x = 1,656
x = 1,656/0.92
x = L.E. 1,800
2. Selling price for 12% profit;
= 1,800 * ( 1 + 12%)
= L.E. 2,016
Can you help me explain this answer please I need it really quick
SPARK in Dallas requires a school to send 2 adults for every 20 students who visit for a field trip. If a school send 13 adults, how many students can go
on the trip
give example of a monotone subsequence of the sequence Sn=cos(n.π/3)
A monotone subsequence is a subsequence that is either increasing or decreasing, which we define as follows:
A sequence (S) is increasing if [tex]S_n \geq S_m[/tex] whenever n>m.A sequence (S) is decreasing if [tex]S_n \leq S_m[/tex] whenever n>m.Here, we can create a subsequence by taking every sixth term:
• When n = 6, [tex]S_n = \cos(6\pi /3) = \cos(2\pi) = 1[/tex]
• When n = 12, [tex]S_n = \cos(12 \pi /3) = \cos(4\pi) = 1[/tex],
and so on, and every such element will have a value of 1. This is a monotone subsequence.
Which expression is equivalent to 6(2x + 4)
Answer:
12x+24
Step-by-step explanation:
by multiplying the number 6 into the term inside of the bracket gives 12x + 24
some one pls help me with this fast
this is you're answer please thanks me
Skylar went on a road trip to New York. On the first day of her trip. she drove 656 miles in 8 hours. What unit rate did she travel in miles per hour?
What is the solution to the equation 5 +b= 18? 1
Answer:
13
Step-by-step explanation:
Take 18 minus 5 and the answer is 13.
Select the correct location on the number line.
Sean had $45.50 in his account. He bought books worth $3 more than what he had in his account. Graph the point that represents the balance of Sean’s account.
15 points
Answer:
-3
Step-by-step explanation:
Find the value of x. Then find the length of the segment or angle indicated.
8x-27 6x+1
Answer:
58
Step-by-step explanation:
Please Help me I really need help
Answer:
2
Step-by-step explanation:
PLEASE HELP!!!!!!!!! WILL MARK BRAINLIEST!!
The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8200 ft, the liquid boils at 199.42°F. At an altitude of 4700 ft, the liquid boils at 206.07°F. Write an equation giving the boiling point b of the liquid, in degrees Fahrenheit, in terms of altitude a, in feet. What is the boiling point of the liquid at 2500 ft?
Write an equation.
b=
Answer:
b=-0.0019a + 215
at 2500 ft, b=210.25 degrees F
Step-by-step explanation:
First find the slope. a=altitude, b = temperature
slope is b2-b1 / a2-a1
points are (8200, 199.42) and (4700, 206.07)
(206.07 - 199.42) / (4700-8200)
= 6.65/ -3500
= - 0.0019
we have b = -0.0019a + intercept
plug in a point to find intercept
199.42 = -0.0019*8200 + intercept
intercept = 199.42 + 15.58 = 215
b=-0.0019a + 215
at a=2500 ft, substitute into equation
b= -0.0019*2500 + 215
= -4.75 + 215
= 210.25 degrees F
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12. (03.03 MC) The equation below represents Function A and the graph represents Function B: Function A f(x) = 6x - 1 Function B 4 2 + 1 -2 1 -1 -2 -4 t -5
Answer:
Ans : = 0
Step-by-step explanation:
Answer:
[tex]\textsf{Slope of Function A = 2 x Slope of Function B}[/tex]
Step-by-step explanation:
We know that Function A is given by:
[tex]f(x)=6x-1[/tex]
And we are given the graph of Function B.
And we are asked to compare the slopes of the two functions.
So, we will determine the slope of each.
For Function A, the slope is simply the coefficient of our independent variable x.
Since 6 is our coefficient, the slope of Function A is 6.
For Function B, we will utilize the slope formula, given by:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We will need any two points from our graph. Let’s use (0, 1) and (-1, -2).
So, we will let (0, 1) be (x₁, y₁) and (-1, -2) be (x₂, y₂). Substitute appropriately:
[tex]\displaystyle m=\frac{-2-1}{-1-0}[/tex]
Evaluate:
[tex]\displaystyle m=\frac{-3}{-1}=3[/tex]
So, the slope of Function B is 3.
Therefore, the slope of Function A is twice the slope of function B.
So, we can write that:
[tex]\textsf{Slope of Function A = 2 x Slope of Function B}[/tex]
Belle"s dad lend her $10. Then Belle borrows another $15 from him. Write and evaluate an expression that shows the change in the amount of money Belle's dad has.
Answer:
You never said how much money belle's dad had in the first place there not enough information
Step-by-step explanation:
(10 + 15) - x
Please help answer the first 2 boxes for brainslt
> for brainslt
PLEASE HELP QUICK! 20 POINts AND CORRECT
Answer:
Collin will have 3691
Step-by-step explanation:
which property is this example (1+2)+3=1+(2+3)
Answer
Associative property of addition
Step-by-step explanation:
The product of a number and -7 amounts to seven times the sum of that number and 20. Find the number.
Answer: -10
Step-by-step explanation:
If you put it in an equation it would be -7x=7(x+20). You would then -7x to both sides to get -14x=140. Just divide -14 on both sides to isolate x. This equates to -10. If you put -10 back into the equation then it says that 70 is 7 times larger than 10. Which it is.
Which value of x makes the equation 0.75(x + 20) = 2 + 0.5(x 2) true?
Answer:
[tex]x = -56[/tex]
Step-by-step explanation:
Given
[tex]0.75(x + 20) = 2 + 0.5(x - 2)[/tex]
Required
Find x
[tex]0.75(x + 20) = 2 + 0.5(x - 2)[/tex]
Open brackets
[tex]0.75x + 15 = 2 + 0.5x - 1[/tex]
Collect Like Terms
[tex]0.75x - 0.5x = 2 - 1 - 15[/tex]
[tex]0.25x = -14[/tex]
Solve for x
[tex]x = -\frac{14}{0.25}[/tex]
[tex]x = -56[/tex]
The lines represented by the equations 15y + 10x = -60 and y
- x – 5 are
neither parallel nor perpendicular
Submit Answer
parallel
perpendicular
the same line
Answer:
they are not the same line, nor are they parallel or perpendicular
Step-by-step explanation:
they are two distinct lines and intersect at (-5.4, -0.4) if graphed
If you put each equation into slope-intercept form you can compare slopes to determine if they are parallel (slopes would be the same) or perpendicular (slopes would be opposite signs and reciprocals)
Determine if the correlation between the two given variables is likely to be positive or negative, or if they are not likely to display a linear relationship. The retail price of a particular smartphone and the number of units sold at that price
Answer:
no correlation
Step-by-step explanation:
The price of the smartphone is fixed beforehand, therefore price does not depend upon the number of units sold.
Hence, there is no correlation between the two given variables.
Hence, no correlation would be the answer.
find x using the ratio of the sides 12 cm and 16cm
Answer:
the ratio of the following x is 3/4
3 1/3 x 5? Tell me exactly how you got this answer like divide or multiply.
Answer:
50/3
Step-by-step explanation:
3 1/3 MULTIPLY 3 times 3 plus 1 to to get the anwser in a fraction
get 10/3 and MULTIPLY by 5/1
multiply and get 50/3
That is it. Hope this helps.
:)
You are getting a car wash for $45.50. You have to pay 5% sales tax and you want to tip the person who washed your car 20%. How much will you spend in total?
Answer:
$56.88
Step-by-step explanation:
amount paying for sales tax---> $2.28
amount paying for tip---> $9.1
amount paying for car wash---> $45.50
$2.28 + $9.1 + $45.50= $56.88
The money we will spend in total will be $56.875. iIt is the sum of all expenses
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
money to get the car washed= $45.50
the 5% of $45.50= (5 x 45.50)/100
= $2.275
The 20% of $45.50 for the tip= (20 x 45.50)/100
= $9.1
The total amount we will be the sum of all expenditures = the money for car wash + the money for sales tax + the money for tip
= 45.50 + 2.275 + 9.1
= 56.875
the total amount to be paid= $56.875
Learn more about percent here:
https://brainly.com/question/11549320
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Mrs. Postler’s dinner costs $36.00. She wants to leave 20% tip. How much money should Mrs. Postler leave to cover her bill and tip?
Answer:
43.2
Step-by-step explanation:
so you would multiply 36 by .20 or .2 and you would get a answer so you add it to your original amount
pls helpppppppppppp
where do i graph?
please send picture of your own for me to copy
Answer:
Step-by-step explanation:
Compound inequality has been given as,
12(2x - 10) + 24 ≥ 48 Or 6x + 15 - 9x ≥ 6
By simplifying it further,
12(2x - 10) + 24 ≥ 48
[tex]\frac{12(2x - 10)}{12}+\frac{24}{12}\geq \frac{48}{12}[/tex]
(2x - 10) + 2 ≥ 4
(2x - 10) + 2 - 2 ≥ 4 - 2
2x - 10 ≥ 2
2x - 10 + 10 ≥ 2 + 10
2x ≥ 12
[tex]\frac{2x}{2}\geq \frac{12}{2}[/tex]
x ≥ 6
6x + 15 - 9x ≥ 6
(6x - 9x) + 15 ≥ 6
(-3x) + 15 ≥ 6
-3x + 15 - 15 ≥ 6 - 15
-3x ≥ -9
3x ≤ 9
x ≤ 3
We have to plot the inequality on a number line
x ≥ 6 Or x ≤ 3
Mr. Dey took out Rs.5000 from his bank. He took 40 notes of 50 Rupees each and the remaining amount in 20 Rupees notes. How many 20 Rupees notes did he take? *
Answer:
150
Step-by-step explanation:
Start with Rs.5000.
40 notes of 50 Rupees each = 40 * Rs.50 = Rs.2000
Rs.5000 - Rs.2000 = Rs.3000
He took Rs.3000 in 20 Rupees notes.
Rs.3000/Rs.20 = 150
Answer: He took 150 20-Rupee notes
Answer:
150
Step-by-step explanation:
We know that he took out Rs.5000 from the bank and that he took 40 of the 50 Rupees notes. We have to subtract to find the amount he took in 20 Rupees notes and then divide by 20 to find the number. 40*50 = 2000 and 5000 - 2000 = 3000. After that, 3000/20 = 150, so that means that Mr. Dey took out 150 notes of 20 rupees.
who wrote this quote "Without feelings of respect, what is there to distinguish men from beasts?" WILL MARK BRAINLIEST
Answer:
Confucius ( a Chinese philosopher)
Step-by-step explanation:
Answer:
Confucius wrote the quote
Step-by-step explanation:
Honestly I think he wrote it to get across a point that is- without the common human respect for other people,we're all nothing but "animals", and people must be courteous to one another to get anything done no matter the situation.
How is counting by 100 and 1,000 like counting by 1 and 10?
Answer:
it just takes longer
Step-by-step explanation:
you count by 1 from 100 until 1000
Answer:
It just take more time.
Step-by-step explanation:
The more 0's the more you count