If any two angles and side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent.
There are 5 main rules of congruency for triangles:
SSS Criterion: Side-Side-SideSAS Criterion: Side-Angle-SideASA Criterion: Angle-Side- AngleAAS Criterion: Angle-Angle-SideRHS Criterion: Right angle- Hypotenuse-SideThree Ways To Prove Triangles Congruent:
SSS (Side-Side-Side) Postulate: If there exists a correspondence between the vertices of two triangles such that three sides of one triangle are congruent to the corresponding sides of the other triangle, the two triangles are congruent.
SAS (Side-Angle-Side) Postulate: If there exists a correspondence between the vertices of two triangles such that the two sides and the included angle of one triangle are congruent to the corresponding parts of the other triangle, the two triangles are congruent.
ASA (Angle-Angle-Side)Postulate: If there exits a correspondence between the vertices of two triangles such that two angles and the included side of one triangle are congruent to the corresponding parts of the other triangle, the two triangles are congruent.
By using these rules, If two angles and one side of a triangle are respectively equal to two angles and the matching side of another triangle, then the two triangles are congruent.
For more such questions on Congruent.
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3. Find the balance of a savings account at the end of 15 years if the interest
earned each year is 6.3%. The principal is $700.
Answer:
The balance of the savings account in 15 years will be $1,750.24.
Please help I’ll mark BRAINLIEST!!!
What type of
slope does
this line have?
A. Positive Slope
B. Negative Slope
C. o Slope
D. Undefined Slope
undefined
because zero slope is side ways
Question 2 (1 point)
A bag holds 6 tiles: 2 lettered and 4 numbered. Without looking,
you choose a tile. What is the probability of drawing a number?
Urgent please help..
Answer: I’m pretty sure it’s 15 cm
Step-by-step explanation:
Which is greater 20.903 or 2.209
TELL CORRECT
Answer:
20.93
Step-by-step explanation:
20.00 > 2.00
HELP ME PLS! Customers at the gym pay a membership fee to join and then a fee for each class they attend. Here is a graph that represents the situation
Answer:
the slope should represent the fee of each class
.
the vertical intercept is the membership fee
Answer:
the y-inyetcept means the starting fee to join
and the slope means fee per class paid by the customers.
Step-by-step explanation:
Please help me with this
2)
Okay so because the right side is two times the length and width of the left side, we need to divide 20 and 14 by 2 which gives us 10 and 7. That means x+2 = 10 so we need to subtract 2 from each side which gives you 8. Therefore, x = 8.
20/2 = 10
10 - 2 = 8
x = 8
Simplify the following expression: (2x2+3x−4)−(4x2−7x+1)
A
−2x2+10x−5
B
2x2−4x−3
C
−8x2+21x+4
D
−2x−4x−5
1/2x-5=10-3/4x please helpppppp
Answer:
x=12
Step-by-step explanation:
1/2x - 5 = 10 - 3/4x ---> move like terms to the same side
1/2x + 3/4x = 10 + 5 ---> calculate
5/4x = 15 ---> multiply both sides by 4/5
x = 12
pls whats the solution to this question.
(x-1÷x)^6.
and also solve with full workings.
[tex]\huge\red{\boxed{\tt{\colorbox{pink}{ANSWER:}}}}[/tex]
[tex] \frac{ {x}^{12} - {6x}^{10} + {15x}^{8} - {20x}^{6} + {15x}^{4} - {6x}^{2} + 1 }{ {x}^{6} } [/tex]
[tex]\huge\red{\boxed{\tt{\colorbox{pink}{Solution:}}}}[/tex]
[tex](x - 1 \div x) {}^{6} [/tex]
Arrange the powers
[tex] \frac{x {}^{12} - {6x}^{10} + {15x}^{8} - {20x}^{6} + {15x}^{4} - {6x}^{2} + 1 }{ {x}^{6} } [/tex]
#❀CARRY ON LEARNING❀#❀KEEP ON LEARNING❀#❀LEARNING IS FUN❀#❀LETS LEARN❀#❀NoToCopyPaste❀❀hope it helps(◕ᴗ◕✿)❀❀Keep safe!❀what is the rate of change of y=0.5•x-2
Answer:
0.5
Step-by-step explanation:
rate of change is just a synonym for slope and the equation for slope is y=mx +b where m is the slope so 0.5=m and if m= slope then 0.5=slope=rate of change :)
PPPPPPPPPPPPPPPPPLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLZZZZZZZZZZZZZZZZZZZZZ Help its due by end of day i relay need a good grade
Answer:
first question
AB=CD=15cm
BD=AC=8cm
Plz help I’m bad at math
Answer:
1 is 136, 2 is 44, annd 4 is 44
Step-by-step explanation:
A zoologist studies a population of 800 rabbits. He tags 160 rabbits at random, of which 37 have blue eyes. Based on this data, about how many rabbits in the population have blue eyes?
Answer:
185
Step-by-step explanation:
Population size = 800
Sample size = 160
Number of blue-eyed rabbit in sample = 37
The proportion of blue-eyed rabbit in the sample is :
p = number of blue eyed rabbit / sample size
p = 37 / 160 = 0.23125
Estimated number of blue eyed rabbit in population :
p * population size
0.23125 * 800
= 185
Joshua invested $97,000 in an account paying an interest rate of 6% compounded
daily. Assuming no deposits or withdrawals are made, how much money, to the
nearest cent, would be in the account after 8 years?
Answer:
answer is 156753.03
Step-by-step explanation:
TRAY A tray in a school cafeteria has the dimensions shown. Find the area of the tray.
Answer:
This is your answer
When 'x' is multiplied by a number inside the parentheses, it causes what type of
transformation:
(580+393,873,532) -(353,453x4,543)÷657
Answer:
257169554605/657 or about 391430068
Answer:
1844540.13242 or 1844540 R 87
Step-by-step explanation:
(393874112 ) - (1605736979) = -1211862867 ÷ 657 = 1844540.13242
The long division work is in the image.
Bobbi is maintaining a campfire. She has kept the fire steadily
burning for 12 hours with 18 logs. She wants to know how many
hours she could have kept the fire going with 9 logs. She assumes all
logs are the same. How many hours can Bobbi keep the fire going
with 9 logs?
PLEASE HELPPP!!!!
Answer:
6
Step-by-step explanation:
If she wants to go from 18, to 9, which is 1/2, then she’d have to cut the time in half as well. 12 divided by 2 is 6!
Hope this helped you!
In a lottery, the top cash prize was $642 million, going to three lucky winners. Players pick five different numbers from 1 to 53 and one number from 1 to 46. A player wins a minimum award of $400 by correctly matching two numbers drawn from the white balls (1 through 53) and matching the number on the gold ball (1 through 46). What is the probability of winning the minimum award?
Answer:
[tex] \frac{10}{53 \times 46 \times 26} [/tex]
Step-by-step explanation:
The probability of matching the number drawn on the gold ball is
[tex] \frac{1}{46} [/tex]
The number of possible pairs of numbers from 1 to 53 is
[tex] \binom{53}{2} = \frac{53 \times 52}{2} = 53 \times 26[/tex]
Choosing 5 numbers, you are choosing 10 different pairs:
[tex] \binom{5}{2} = \frac{5 \times 4}{2} = 10[/tex]
Therefore the probability of correctly matching the drawn pair is
[tex] \frac{10}{53 \times 26} [/tex]
Thus, the probability of winning (matching the pair AND the gold ball) is
[tex] \frac{10}{53 \times 46 \times 26} [/tex]
help a girl out please
Answer:4
Step-by-step explanation:ts is = ed
Help 15 points!!
A central angle of a circle of diameter 6 cm measures 86°. What is the length of the intercepted arc?
A)
2.8 cm
B)
4.5 cm
C)
5.1 cm
D)
9 cm
Answer:
B)
4.5 cm
Step-by-step explanation:
The formula for arc length when our central angle is in degrees =
2πr(θ/360)
θ = 86°
Diameter = 6cm Radius = Diameter /2
Radius = 6cm/2 = 3cm
Hence,
Intercepted arc length = 2 × π × 3 (86/360)
= 2 × π × 3 × 0.2388888889
= 4.5029494701 cm
Approximately = 4.5 cm
Option B is the correct answer
Practice Triangle Ratios (Sides) Find the value of c. Round to the nearest tenth!
Answer:
30.6688
Step-by-step explanation:
We usually use the formula SOHCAHTOA meaning Sine = opposite side/hypotenuse Cosine = opposite side /hypotenuse then Tangent = Opposite side/Adjacent side. We then say Tan61°= x/17 to get the height as 30.6688 PS/ Hypotenuse is the slanting side of the triangle
5x^2 + 2x - 7=0
thanks
Answer:
If you put the equation into go__ogle you will get an explanation on how to solve
Step-by-step explanation:
Answer:
(x-1) (5x+7)
Step-by-step explanation:
I factored using the berry method
A ball is dropped from a height of 180 meters. The height of the ball can be represented by
-5t2 + 180, in meters, when t represents the time in seconds since the ball was dropped.
Which expression represents the height of the ball In factored form?
A) -5(t+6)^2
B) -5(t-6)^2
C) -5(t+6)(t-6)
D) (5t-3)(80t+3)
9.8 ft
4f
12 ft
Find the Area of this figure
Is 8.92 less than 9.089?
Kevin buys a shirt for $25 and a pair of jeans for $42.50. If the sales tax is 8%, what is the total price Kevin pays for the items?
Answer:
He would pay $62.10
Step-by-step explanation:
$42.50
+ $25.00
$67.50
- 8%
$62.10
An urn contains 8 green and 9 white balls. Six balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all 6 balls drawn from the urn are white? Round your answer to three decimal places.
Answer:
The probability is 0.022
Step-by-step explanation:
Firstly, we need to get the total number of balls in the urn
mathematically, we have this as ;
8 + 9 = 17
now, the probability of selecting a white ball will be the number of white balls divided by the total number of balls
Mathematically, we have this as 9/17
Now, since the event is carried out with replacement, the probability for the six times is the same
So, we have the probability as;
(9/17)^6 = 0.022