To easily recognize comparable triangles, you can apply three theorems that are peculiar to triangles.
Two triangles can be compared using one of three theorems: Angle-Angle (AA), Side-Angle-Side (SAS), and Angle-Angle-Side (SS-AS) (SSS).
The symbol representing two triangles with the same angles on all three sides is SSS, which stands for "side, side, side." If two triangles' third sides match those of another triangle, the two triangles are said to be congruent.
The SAS regulation states as much. If the two sides and included angle of one triangle match the two sides and included angle of another triangle, the triangles are congruent. Any angle formed by two specified sides is considered to be an included angle.
A triangle is comparable to another if its two matching angles are congruent, according to the AA postulate of Euclidean geometry. The AA postulate is derived from the observation that the total internal angle of a triangle is always equal to 180°.
For more questions on Congruency of triangles
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Find Tan A if Cos2A = 1/2
Answer:
tan A = ± 1/√3 or ± 0.58
Step-by-step explanation:
2 ways to solve this question.
1. cos 2A = 1/2 2A = 60° or 300° or 420° or ....
A = 30° or 150° or 210° ....
tan A = tan 30° or tan 150° or ... = ± 1/√3
2. cos 2A = 2 cos²A - 1 1/2 = 2 cos²A - 1 cos²A = 3/4
cos 2A = 1 - 2 sin²A 1/2 = 1 - 2 sin²A sin²A = 1/4
tan²A = sin²a/cos²A = (1/4) / (3/4) = 1/3
tan A = ± 1/√3 or ± 0.58
Dora wants to paint the walls, ceiling and floor of her playhouse. The dimensions of the playhouse are 3 m long by 4 m wide by 5 m high. What is the total area that she must paint?
Answer:
Dora has to paint a total ol 60m
Step-by-step explanation:
4x5x3
4x5= 20
20x3=60
Maya is building a sandbox that is 48 inches wide. The length of the sandbox is four times the wldth of the sandbox. What is the perimeter of the sandbox?
Answer: 480 in.
Step-by-step explanation:
Given
The width of the sandbox is 48 in.
The length of the sandbox is four times the width
[tex]\therefore L=4\times 48=192\ in.[/tex]
Perimeter is the sum of the sides of the shape
The perimeter of the box is
[tex]P=2[48+192]=480\ in.[/tex]
Answer:
the perimeter of the sandbox is 480 inches
Step-by-step explanation:
The computation of the perimeter of the sandbox is shown below:
Since the width is 48 inches
And, the length would be four times the width i.e.
= 4 × 48
= 192 inches
Now the perimeter of the sandbox is
= 2( length + width)
= 2 (192 inches + 48 inches)
= 480 inches
Hence, the perimeter of the sandbox is 480 inches
Help Resa
Find the volume of this object.
Use 3 for a
Volume of a Cylinder
V= r2h
Volume of a Cone
V= Arh
3
7 cm
!6cm
V
V ~ [?]cm3
Enter
Answer:
Volume of given figure = 113.12 cm²
Step-by-step explanation:
Given:
Radius of cylinder = 4/2 = 2cm
Radius of cone = 4/2 = 2 cm
Height of cylinder = 7 cm
Height of cone = 6 cm
Find:
Volume of given figure
Computation:
Volume of given figure = Volume of cylinder + Volume of cone
Volume of given figure = πr²h + (1/3)πr²h
Volume of given figure = (22/7)(2)²(7) + (1/3)(22/7)(2)²(6)
Volume of given figure = (22/7)(4)(7) + (1/3)(22/7)(4)(6)
Volume of given figure = (22)(4) + (22/7)(4)(2)
Volume of given figure = 88 + 25.14
Volume of given figure = 113.12 cm²
Select all answer choices that show a correct comparison.
A. 14>29
B. 26>25
C. 45>710
D. 12<23
E. 34<58
Answer:
c is incroccet aand other are correct
A chemist needs 90 milliliters of a 57% solution but has only 27% and 72% solutions available. Find how many milliliters of each that should be mixed to get the desired solution.
Answer:
18=18
Step-by-step explanation:
a=90-b
a=50 mL at 4%
b=40 mL at 40%
check
0.04*50+0.4*40=0.2*90
2+16=18
18=18
Determine the measure of angle b.
Answer:
37
Step-by-step explanation:
Because 180 is a straight line.
Subtract 143 from 180 amd get 37.
Hope this helps ^-^
GIVING BRAINLIEST!!!!!!!!
1/2 x(6X4)+3+2
SHOW UR WORK PLS
Answer: 1/2 times 6x equals 3x and then you do 1/2 times 4 and that equals 2 then multiply the 3 and 4 in the parenthesis and that is 12 then add 12 to the 3 and 2 and your answer is 17.
Step-by-step explanation:
Please help!! I completely forgot how to do this and please show your work
Answer:
12c-30
Step-by-step explanation:
6(2c-5)
12c-30
..........
Answer:
6(2c-5)
multiple the 6 on both numbers
12c-30
2 ∧ x=0.0625
x is an interger
Answer:
Ermmm.. What is a integer?
Step-by-step explanation:
Someone explain please
Answer:
x= -4
Step-by-step explanation:
2^x =1/16
2^x = 2^-4
x= -4
Slope- intercept equation from a graph
Find the equation of the line
We can find the slope using any two points on the line. Readily identifiable are the points (2, 0) and (0, 3), from which we can find the slope:
[tex]\text{slope} = m=\frac{y_2-y_1}{x_2-x_1} \\ m = \frac{3-0}{0-2} = -\frac{3}{2}.[/tex]
The y-intercept is the y value when x = 0, which we already know is 3. So, the slope-intercept equation of this line is:
[tex]y=-\frac{3}{2}x+3.[/tex]
5. Determine the horizontal distance when the vertical distance is 2m. You must
solve algebraically, not just use your graph to predict.
Really need help with this. Thanks. :)
Answer:
5
Step-by-step explanation:
Plz need help i cant do it
Answer
adding 2
Step-by-step explanation:
Median is 8
I don't know if this is correct but I tried.
The perimeter of the triangle below is 75 m. Determine the measure of each side of the triangle
Step-by-step explanation:
The perimeter is the sum of all sides.
AB+AC+CB=75
(2x-9) + (2x+3) + (3x+4) = 75
Combine like terms:
(2x+2x+3x) + (-9+3+4) = 75
7x - 2 = 75
7x = 77
x=11
Replace 'x' with '11' in the above equations to find that:
AB = 2(11) - 9 = 22 - 9 = 13 m
AC = 2(11) + 3 = 22 + 3 = 25 m
CB = 3(11) + 4 = 33 + 4 = 37 m
13 + 25 + 37 = 75 m
find the slope of each line
helppp!!
Answer:
-3/4
Step-by-step explanation:
The slope is -3/4
The line goes down three and four left.
2. How many distinguishable permutations are possible with all the
letters of the word ELLIPSES?
Answer:
5040
Step-by-step explanation:
This problem is about indistinguishable permutation. We have indistinguishable objects, in this case, these are the letter of the word ELLIPSES. The permutations for the word ELLIPSES is the same when you swap the places of the Ls. We need to not count them to avoid double counting.
We first count how many letters we have on the word, and then count the repeating letters.
ELLIPSES has 8 letters, 2 Es, 2Ls, and 2S.
The formula for indistinguishable permutation is
where n is the total number of objects and are the number of indistinguishable objects.
We have 2Es, 2Ls, and 2S; the formula then becomes:
Simplifying gives us
There are 5,040 distinguishable permutations of the word ELLIPSES.
For more information about indistinguishable permutations, click here
brainly.ph/question/2487180
brainly.ph/question/2479274
brainly.ph/question/2470260
brainly.ph/question/2470259
The total 5040 distinguishable permutations are possible with all the letters of the word ELLIPSES.
The given word is ELLIPSES.
It is required to find total distinguishable permutations that are possible with the above word.
What is permutation?A permutation can be defined as the number of ways a set can be arranged.
Permutation formula as below:
[tex]P=\frac{n!}{p!q!r!...}[/tex]
Where n = Total number of objects.
p,q,r...= the number of indistinguishable objects.
Here total number of letters in the word n = 8
and ELLIPSES have 2Es, 2Ls, and 2S; the formula then becomes:
[tex]=\frac{8!}{2!2!2!}[/tex]
[tex]=\frac{8*7*6*5*4*3*2*1}{2*1*2*1*2*1}[/tex]
[tex]=5040[/tex]
Thus, the total 5040 distinguishable permutations are possible with all the letters of the word ELLIPSES.
Learn more about permutation here:
https://brainly.com/question/1216161
Watson has 4 yards of fabric. He would like to cut it into pieces measuring 2/5 of a yard. How many pieces will Watson be able to cut? *
Answer:
10
Step-by-step explanation:
2/5 yard = 0.4 yard each piece
4 / 0.4 = 10
Find x, to the nearest hundredth.
Answer:
Step-by-step explanation:
cos 44° = [tex]\frac{x}{14}[/tex]
x = 14 × cos 44°
x ≈ 10.07 units
What is the scale factor and x value?
How much will the students save if they work together to install the grass themselves as opposef to having the landscaper install it
$81.90
$273.00
$322.00
$354.90
Answer:
B
Step-by-step explanation:
Which of the following is equal to 62 x 5? A. (2 + 5) x (60 + 5)
B. (60 x 5) + (2 x 5)
C. (2 x 5) + (30 x 5)
D. (60 2) + (60 x 5)
Answer: B. (60 x 5) + (2 x 5)
Step-by-step explanation:
Needing help with this math question
Answer:
B. 4x+5
Step-by-step explanation:
First, you multiply both sides by 4, then you have x=y-5. You then add 5 to get 4x+5
(in the very beginning, you switch the x and y so you would have to make the equation x= y-5 / 4 if that confused you)
y Of the 525 fans, 224 wore school shirts. If 840 people are expected to attend next Saturday, how many of them would Kelly
Answer:
358 people
Step-by-step explanation:
Ashik claims that the graph on the right is the correct interpretation of the scatterplot, but his friend Shelby claims that the graph on the left is correct.
Shelby’s Graph Ashik’s Graph
A graph titled Shelby's Graph has points that form a curved line. A line with negative slope is drawn. A graph titled Ashik's Graph has points that form a curved line. A curved line is drawn to connect the points.
Who is correct and why?
Shelby is correct because the line of best fit has a negative slope and the trend shows a decrease in y values as the x values increase.
Shelby is correct because the line of best fit matches the points as closely as possible with a weak correlation.
Ashik is correct because the points are a strong correlation to this nonlinear association.
Ashik is correct because points with a weak correlation can never have linear association.
Answer:
It’s B
Step-by-step explanation:
Answer:
The correct answer is C
Step-by-step explanation:
just took the test and got a 100.... btw i kinda need Brainliest to move to the next level can u help?
Edge 2021
Please help me it's urgent
Answer:
Ok it might take a long time but I'll get it done for you lol
Step-by-step explanation:
Circle O has a circumference of approximately 250π ft. Circle O with diameter d is shown. What is the approximate length of the diameter, d? 40 ft
Answer:
250 ft
Step-by-step explanation:
circumference of a circle = πD
D = diameter
to find diameter divide by pi
d = 250
Find the explicit formula for the given sequence 2, 4, 8, 16...
Answer:
Option A
Step-by-step explanation:
100% sure
Answer:
I would think it A
Step-by-step explanation:
Hello guys, I gotta turn in this and got like a few hours, please help me as soon as possible!!
This is due in 2 minutes
what are the ordered pairs of the solutions for this system of equations? f(x)=x2-2x+3; f(x)=-2x+28
Answer: (5,18); (-5,38)
Step-by-step explanation:
x^2-2x+3=-2x+28
x^2-25=0
(x-5)(x+5)= 0
-2(5)+28= 18
-2(-5)+28=38
(5,18)(-5,38)