Two triangles with three congruent sides are referred to as side-side-side (SSS) triangles. The measures are identical, or congruent, which means they are precisely the same. All three sides of SSS triangles will be equal to their corresponding sides in the second triangle, however individual triangle sides are not always equal to one another.
Theorems of Triangle Congruence
One of four triangle congruence theorems, the SSS theorem is unique in that it excludes the need of an angle. The following three are listed:
Two sides and the angle separating them are congruent, or side angle side (SAS).
Angle Side Angle (ASA): Congruence of two angles and the side joining them.
The three angles are all congruent (AAA).
The 3 benefits of SSS theorem are as follow,
To measurement of the area of a triangle.The values for the height and base will be different.To determine if two triangles are congruent even if they are oriented differently.For such more question on SSS.
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Find the value of x.
Answer:
x + 42 + 58 = 180x + 100 = 180x = 80°Answer:
x = 80°
Step-by-step explanation:
The measure of the angles of the inside of a triangle, when added result in 180°
58° + 42° + x = 180°
x = 180° - 42° - 58°
x = 80°
the polynomial 3x+5 is divided by x+2 what is the quotient, pls be quick im taking a algebra progress check due in 25 min
Answer:
The quotient of the rational function is [tex]3 -\frac{1}{x+2}[/tex].
Step-by-step explanation:
We proceed to solve the expression by solely algebraic means below:
1) [tex]\frac{3\cdot x + 5}{x+2}[/tex] Given
2) [tex]\frac{(3\cdot x + 5) + 0}{x + 2}[/tex] Modulative property
3) [tex]\frac{(3\cdot x +5) + [1+(-1)]}{x+2}[/tex] Existence of additive inverse/Associative property
4) [tex]\frac{(3\cdot x + 6)+(-1)}{x+2}[/tex] Definition of addition/Commutative and associative properties
5) [tex]\frac{3\cdot (x+2)}{x+2} + \left(-\frac{1}{x+2} \right)[/tex] [tex]\frac{a+b}{c} = \frac{a}{c} + \frac{b}{c}[/tex]/ [tex]\frac{-a}{b} = \frac{a}{-b} = -\frac{a}{b}[/tex]/Distributive property
6) [tex]3 -\frac{1}{x+2}[/tex] Definition of division/Existence of multiplicative inverse/Modulative property/Definition of subtraction/Result
The quotient of the rational function is [tex]3 -\frac{1}{x+2}[/tex].
Someone please help me extra points and brainlest!
Answer:
b
Step-by-step explanation:
you want the simplify ?
The sum of the speeds of two trains is 724.3 miles per hour. If the speed of the first train is 11.7 mph faster than that of the second train, find the speeds of each.
Answer:
A=368 miles
B= 356.3 miles
Step-by-step explanation:
Given data
Let the two trains be A and B
A+B=724.3----------1
A-B=11.7--------------2
From eqn 1
A= 724.3-B
put this in place of A in eqn 2
724.3-B-B= 11.7
724.3-2B= 11.7
724.3-11.7= 2B
712.6=2B
B= 712.6/2
B= 356.3 miles
Put B=356.3 in eqn 1
A+356.3=724.3----------1
A= 724.3-356.3
A=368 miles
can somebody help me pls
Answer:
Step-by-step explanation:2 one
Tony's friends ate 0.6 of the appetizers he made. Which point on the number line best represents 0.6?
A. R
B. S
C. Q
D. P
If p p and q q vary inversely and p p is 14 when q q is 12, determine q q when p p is equal to 84.
Answer:
q = 2
Step-by-step explanation:
p α 1/q
p = k/q
Where, k = constant of proportionality
p = 14 ; q = 12
We can obtain the value of k
p = k/q
14 = k/12
k = 14 * 12
k = 168
p = 168/q
pq = 168
q = 168 / p
Value of q, when p = 84
q = 168 / 84
q = 2
Solve for x..........
Step-by-step explanation:
30/42 = 25/6x-1
180x - 30 = 1050
180x = 1020
x = 5.67
12 + 1 1/3 = ___?
answer is supposed to be a mixed number??
thank you for helping
Jill used 3/4 of a jar for baking. how much honey did hse use baking explanation
Answer: 3/4
Step-by-step explanation:
This question is a straightforward question. Since we are already given the information that Jill used 3/4 of a jar for baking.
The quantity of honey that was used for baking will be 3/4 which can be seen in the question.
............... help me please i don’t understand this
Answer:
x = 11
Step-by-step explanation:
The approximate radius of the Earth is 6371 km. The approximate radius of the Moon is 1737.5km. What is the difference in their circumferences
Answer:
earth C≈40030.17
moon C≈10917.03
the difference in their circumference is 29113.14 km
Step-by-step explanation:
PLEASE HELP, I NEED THIS OR I WILL FAIL MY CLASS PLZZZZ.
30 POINTS AND BRANNIEST
( PLEASE SHOW WORK OR I MIGHT NOT GIVE BRAINIEST )
Answer:
median then mean then range
Which choices are equivalent to the expression below check all that apply !
Answer:
A & C & F
Step-by-step explanation:
i did this just now i got it right!
Answer:
Step-by-step explanation:
The square root of 9 is 3, while the square root of 4 is 2
3 x 2 = 6
So
A is true
B is true
C is true because we can multiply the two terms of the root and mantain the same root. In fact √36 = 6
D is wrong because the result of the expression is not 6
E is wrong for the same reason of D
F wrong because the result of the expression is 12
8) The volume of a cuboid 12cm long 9 sm broad and 6 cm high is
a) 648 cm
b) 648 m
c) 648 cm
d) 648 m
Answer:
648 cm³
Step-by-step explanation:
For Cuboid
l = 12cm
b = 9cm
h = 6cm
Now, The volume of a cube is
l × b × h
12 × 9 × 6 cm
108 × 6 cm
648 cm³
Thus, The volume of a cuboid 12cm long 9 sm broad and 6 cm high is 648 cm³
-TheUnknownScientist
Pleassse solve! Will give brainliest!
Answer:
The set of points that lie in the mix of the shaded colors are the solutions to the inequalities.
Those points are,
(0,-6)
(-14,-15)
(-9,-10)
Answer:
Hey girly the answer is def 0,12 xoxoxo ;)
CAN SOMEONE PLEASE HELP ME RIGHT NOW ASAP!!
Answer: 534
Step-by-step explanation:
an=a1+(n-1)d
Here,
d is the common difference
=>a2-a1=12-3=9
& a1=3
a60=3+(60-1)9
a60=3+(59)*9
a60=3+531
a60=534
60th term is 534.
Answer:
60th term = 534
Step-by-step explanation:
The easier way:
3 + (60 -1) (9)
3 + (59) (9)
3 + (531) = 534
OR
The harder way:
3, 12, 21, 30, 39, 48, 57, 66, 75, 84, 93, 102, 111, 120, 129, 138, 147, 156, 165, 174, 183, 192, 201, 210, 219, 228, 237, 246, 255, 264, 273, 282, 291, 300, 309, 318, 327, 336, 345, 354, 363, 372, 381, 390, 399, 408, 417, 426, 435, 444, 453, 462, 471, 480, 489, 498, 507, 516, 525, 534
Please let me know if this helps.
Due soon helppp no links pls
Answer:
A = 28.26
C = 18.84
Step-by-step explanation:
A = [tex]\pi r^{2}[/tex]
C = 2[tex]\pi r[/tex]
A = 3.14 x 3 x 3 = 28.26
C = 2 x 3.14 x 3 = 18.84
Let me know if this helps!
PLEASE HELP ME!! I WILL GIVE BRAINLIEST. ITS DUE IN AN HOUR
Answer:
1. 3k=150
2. 50
Please answer my question
Answer:
i think its 2-/+ [tex]\sqrt{42}[/tex] not sure though sorry
Step-by-step explanation:
yesh plesse help me eith this im dyinggg
Callie has 6 yards of green fabric and 4 yards of white fabric.
Callie gives 24 inches of green fabric to her sister. How may feet of green fabric does Callie have left? Show your work.
Answer:
16 feet left
Step-by-step explanation:
one yard = 3 feet
so:
6 yards = 18 feet
24 inches = 2 feet
18 feet - 2 feet = 16 feet
An IceBerg has 1/9 of its volume above the water. If an IceBerg has 360 cubic meters below the water, how many cubic meters are above the water.
hello
i think so...
hope it helps
have a nice day
I need help please um..yeh
Answer:
John (15) Molly (19) Ross (12) Jill (16)
Construct the following shapes:
A concave hexagon with one angle of 45⁰ and one side length of 4 cm.
A trapezoid ABCD where AB = 8cm, and CD = 4 cm. What is the measure of each internal angle (use your protractor to measure)?
[To be solved on grid paper]
3+6s=4(s-3)+19 don't know what this is help plz will mark brainlest
Answer:
s=2
Step-by-step explanation:
3+6s=4s-12+19
3+6s=4s+7
6s-4s=7-3
2s=4
please help, i will give brainliest
Answer:
13. (E) all of the above 14. (E) the diagonals bisect the angles at the vertices
Step-by-step explanation:
Please someone help!!!!!!!
Assume all the figures are regular polygons. Can you find the angle measures of the angles indicated?
ppls give me answers to all of the letters
Answer:
a=108
b=90
c=120
d=42
e=135
f=15
g=60
h=45
i=75
j=60
Step-by-step explanation:
20.
The pair of points is on the graph of an inverse variation. Find the missing value.
(2.4, 3) and (5, y)
A. 1
B. 1.44
C. 6.25
D. 0.69
Answer:
Step-by-step explanation:
In verse variation would be 3 = k / 2.4 so k = 7.2
So we have y = 7.2 / 5 = 1.44
Answer is 1.44.
Answer:
Hence, the value of y is:
1.44
Step-by-step explanation:
It is given that:
The pair of points is on the graph of an inverse variation.
(2.4, 3) and (5, y)
We have to find the missing value y in the point.
As we know that in the inverse variation the value of y is the inverse value of x by some k.
i.e. in first point (2.4,3) let 'k' be a number such that:
Hence, the inverse is k=7.2
Now in the second point (5,y) we find the value of y as:
Hence, the value of y is:
1.44
Variation can be direct, inverse, joint or combined.
The missing value of y is (b) 1.44
The points are said to represent inverse variation.
So, we have:
[tex]x_1 \times y_1 = x_2 \times y_2[/tex]
Substitute x and y values in the equation
[tex]2.4 \times 3 = 5\times y_2[/tex]
Multiply 2.4 and 3
[tex]7.2= 5\times y_2[/tex]
Divide both sides by 5
[tex]1.44 = y_2[/tex]
Rewrite as:
[tex]y_2 = 1.44[/tex]
Hence, the missing value of y is (b) 1.44
Read more about inverse variations at:
https://brainly.com/question/1327394
the radius of a circular musical drum is 70 centimeters. find its area (PLEASE DO NOT PUT ANY UNNECESSARY LINKS)
Answer:
439.6
Step-by-step explanation:
r times 2 (Because 70 is half of the...)=140 times pie or just round it to 3.14
So= 70 times 2 times 3.14