The five ways to prove the congruence theorem are listed as,
SSS TheoremSAS TheoremASA TheoremAAS TheoremRHS TheoremHere we have to find the 5 ways to prove congruence.
As we all know that, according to the concept of triangle, then term congruence referred as if two shapes are congruent if and only if they have the exactly the same sides and exactly the same angles.
Based on these we have derived 5 sub theorem, from the congruence theorem, they are listed as,
1) SSS (side, side, side)
2) SAS (side, angle, side)
3) ASA (angle, side, angle)
4) AAS (angle, angle, side)
5) HL (hypotenuse, leg)
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Use this picture to name one pair of SUPPLEMENTARY angles
One pair of supplementary angles in the picture : Angle 1 and Angle 5
Hope this helps!
In a polling station, there were 900 registered voters. During an election 10% of the registered voters did not cast their votes. The rest cast their votes to Ahmed, Babu and Chambuko in the ratio 3:2:1.If 30 votes were spoilt,how many votes did Ahmed get?
Answer:
Ahmed got 390 votes
Step-by-step explanation:
Here, we want to know the number of votes obtained by Ahmed
from the question, there were 900 registered voters
10% did not cast their votes
The number that didn’t cast their votes will be;
10% of 900
= 10/100 * 900 = 90
So the rest 90% casted and this value will be 900-90 = 810
810 people casted their votes
30 votes were spoilt;
The number of valid votes is thus;
810 - 30 = 780
Ahmed got a ratio of 3 in 3:2:1
The total value here is 3 + 2 + 1 = 6
So what Ahmed got will be;
3/6 * 780
= 780/2 = 390
PLZS help need by today!
Answer:
15
Step-by-step explanation:
We know that the expression is equal to 110° since it is a vertical angle. So what we do is we ad 10 to both sides of the equation. We are left with 8x=120 so if we divide 120/8 we get 15 which would leave it as x=15. Now plug it in and check it.
An 18-ounce bottle of juice costs $4.86. What is the unit rate for the juice
Answer:
3.7
Step-by-step explanation:
Answer:
The Unit Rate would be 0.27:1
Step-by-step explanation:
Divide 4.86 by 18 to get 0.27
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HELLPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!
Answer:
b.
Step-by-step explanation:
b. or the second answer
What is this math problem?
3x = 6y - 21
6x - 9y = -30
Answer 1: x=2y−7
Answer 2: x= 3/2y -5
Heart if this helped
Answer:
x=1 and y=4
Step-by-step explanation:
Let's solve your system by substitution.
3x−6y=−21;6x−9y=−30
Step: Solve3x−6y=−21for x:
3x−6y=−21
3x−6y+6y=−21+6y(Add 6y to both sides)
3x=6y−21
x=2y−7
Substitute2y−7for x in6x−9y=−30:
6x−9y=−30
6(2y−7)−9y=−30
3y−42=−30(Simplify both sides of the equation)
3y−42+42=−30+42(Add 42 to both sides)
3y=12
y= 4
Substitute4foryinx=2y−7:
x=2y−7
x=(2)(4)−7
x=1(Simplify both sides of the equation)
5/7 x 9/10
please show your work and the answer has to be a simplified fraction . thanks :)
Answer:
Step-by-step explanation:
5/7 x 9/10
=5/7 9/5 X 2
=1/7 X 9/2
=1 X 9/ 7 X 2
=9/ 7 X 2
=9/14
The expression 5/7 x 9/10, is equivalent to 9/14.
What is a expression? What is a mathematical equation?Linear function is a function whose degree is one. It is of the form -f(x) = ax + bA mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have the following expression -
5/7 x 9/10
Given is -
5/7 x 9/10
1/7 x 9/2
9/14
Therefore, the expression 5/7 x 9/10, is equivalent to 9/14.
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simplify the expressing by combining like terms
1 + 3x - 8x + 7
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{1 + 3x - 8x + 7}[/tex]
[tex]\large\text{COMBINE the LIKE TERMS }[/tex]
[tex]\large\textsf{ (3x - 8x) + (1 + 7)}[/tex]
[tex]\large\textsf{3x - 8x = \bf -5x}[/tex]
[tex]\large\textsf{1 + 7 = \bf 8}[/tex]
[tex]\large\textsf{= -5x + 8}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf -5x + 8}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
8 + 7 + (-4) on a number line
Answer:
11 is the answer
Step-by-step explanation:
8+7-4
15-4
11
on number positive 11 is the answer
its just simple addition and substraction then the result can displayed on number line where 11 comes on number line mark that point
The points L, M, N and O all lie on the same line segment, in that
order, such that the ratio of LM : MN: NO is equal to 6:1:2. If
LO = 45, find MO.
which of the following equations represents a line that passes through the points
Answer:
C) I only
Step-by-step explanation:
( -1, -2) and (0,4)
Slope:
m=(y2-y1)/(x2-x1)
m=(4+2)/(0+1)
m=6/1
m=6
Slope-intercept:
y - y1 = m(x - x1)
y + 2 = 6(x + 1)
y + 2 = 6x + 6
y = 6x + 4
y - 16 = 6(x - 2)
y - 16 = 6x - 12
y = 6x + 4
what is the volume, in cubic centimeters, of a cylinder that has a height of 15 cm and a diameter of 12cm?
Answer:
Option 2[tex]540\pi[/tex]
Step-by-step explanation:
Given,
Diameter of the cylinder = 12cm
Radius of the cylinder = 12cm ÷ 2 = 6cm
Height of the cylinder = 15cm
Therefore,
Volume of the cylinder
[tex] = \pi {r}^{2} h[/tex]
[tex] = \pi \times 6 \times 6 \times 15 {cm}^{3} [/tex]
[tex] = 540\pi \: cubic \: cm[/tex]
Hence,
Option 2 is correct for volume of the cylinder in cubic cm:
[tex]540\pi[/tex]
ILL GIVE BRAINLY IF YOU CAN HELP ASAP
Answer:
D
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
If you simply add a negative sign to the x coordinate, you get the reflected point.
Find what x =
4
9
16
find the value for x
Answer:
X=22
Step-by-step explanation:
measurement of angle a is right angle
mA=4x+2
90=4x+2
4x=90-2
4x=88
4x/4=88/4
X=22
Which equation can be used to solve for xxx in the following diagram?
Answer:
A
Step-by-step explanation:
math
We can solve for x in the diagram based on the vertical angles theorem using the equation: A. 60 = (4x - 20)
What is Vertical Angles Theorem?Angles that lie vertically opposite each other when two straight lines intersect are congruent too each other, based on the vertical angle theorem.
Applying the vertical angles theorem, we can solve for x in the given diagram using the equation below:
60 = (4x - 20)
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What is the following product ?
Answer:
6 (square root) 200
Step-by-step explanation:
Answer:
the second choice 6/200
Step-by-step explanation:
Ill give brainiest - please help ASAP with WORK FOR IT please and thank you!! :)
3 pages, with work pleasee
Step-by-step explanation:
isosceles trapezoidtrapezoidrhombussquarerectangleparallelogramquadrilateral10x+18+62=180 co interior angle10x=180-80
x=100/10=10
:.x=10
9.
8x+2=7x+14 corresponding angle of parallelogram are equal
8x-7x=14-2
x=12
10.
4x+4=5x+1 corresponding sides of parallelogram are equal
4-1=5x-4x
x=3
11.
4+3x=19corresponding sides of parallelogram are equal
3x=19-4
x=15/3
x=5
Ashley's height is 164 cm. She stands 325 cm from a lamp post at night. Her shadow is 100 cm long.
How high is the lamp post?
Школьник поднял гирю весом 16 кг на высоту 2,1 м за 2 с. Определите:
а) Механическую работу, выполненную школьником;
б) Механическую мощность, развитую им;
в) На сколько увеличилась при этом потенциальная энергия си-
стемы „гиря-земля". Считать g = 10 Н/кг.
ОЧЕНБ ОЧЕНЬ СРОЧЬНО НАДО. ПОМОГИТЕ ПОЖАЛУЙСТА ЩЯС.
Answer:
what type of language is this isn't this India?
What is the equation of the line with slope −3 and y-intercept 6? Express your answer in slope-intercept form.
A. y = 3x + 6
B. y = −3x − 6
C. y = −3x + 6
D. y = 3x − 6
Answer:
C. y = -3x +6
Step-by-step explanation:
y = mx + b
m= slope = -3
b = y-intercept = 6
y = -3x + 6
whats the difference between coterminal, reference, and rotational angles?
Answer:
If two angles in standard position have the same terminal side, they are called coterminal angles.
The reference angle is the acute angle (the smallest angle) formed by the terminal side of the given angle and the x-axis.
Angle of Rotation is the measurement of the amount of the angle, by which a figure is rotated counterclockwise about a fixed point, often the center of a circle. Usually clockwise rotation is called as Negative rotation
If two angles in standard position have the same terminal side, they are called coterminal angles.
What is an angle?An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.
Coterminal angles are those angles that share the terminal side of an angle occupying the standard position. The standard position means that one side of the angle is fixed along the positive x-axis, and the vertex is located at the origin.
The reference angle is the acute angle (the smallest angle) formed by the terminal side of the given angle and the x-axis.
Angle of Rotation is the measurement of the amount of the angle, by which a figure is rotated counterclockwise about a fixed point, often the center of a circle. Usually clockwise rotation is called as Negative rotation.
Hence, if two angles in standard position have the same terminal side, they are called coterminal angles.
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Aiden got a loan for $600 that has a 5% simple interest for
2 years.
Answer:
The simple interest is $60 for 2 years
Step-by-step explanation:
1. 600*0.05=30
2. 30*2=60
Item 5
Write the word sentence as an inequality.
One plus a number y is no more than −13.
Answer:
1+xy-13 that is you answer
Find the missing side length.
Answer:
my guess would be 15 because it goes down by 5s
Hugo puts $200.00 into an account to use for school expenses. The account earns 13% interest, compounded annually. How much will be in the account after 6 years?
Answer:
y=200(1.13)^6= 416.39
Step-by-step explanation:
16,when g=4
Answer please
Answer:
Is this multiplcation cuz its 4
Step-by-step explanation:
4x4=16
Answer:
4X4=16
Step-by-step explanation:
Please help me out there is no tutorssssss
Answer:
its 12
heart if it helped!
Find the value of ‘N’ in each of the following:
a. 2n = ¼
b. 10⁶÷10n = 10²
[tex] \purple{ \huge{ \tt{ \: ✨ Answer ✨ \: }}}[/tex]
[tex]a. \: \: n \: = \: \red{ \boxed{ \tt{{ \: \frac{1}{8} \: }}}} \\ \\ \: \: \: \: \: \: b. \: \: n \: = \: \red{ \boxed{ \tt{ \: 10 {}^{ - 3} \: }}}[/tex]Answer:
a. n=1/8
b. n=10^-3
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Solve for x in the picture below
Answer:
x=19
Step-by-step explanation:
90+7x+3+128+5x+8+111+9x-19=(6-2)180 (angle sum of polygon)
x=19