Congruence theorem can be used to prove WXS = YZS is ASA.
What is Congruence theorem ?
If two triangles are identical in size and shape, they are said to be congruent. Corresponding sides (sides in the same location) and corresponding angles (angles in the same position) are congruent when triangles are congruent (equal).
Point S makes the two connected angles the same. They both have right angles.
And one side of each is congruent.
This means you know 2 angles are the same and one side is the same.
You would use ASA (Angle, Side, Angle).
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7y+5y-3y= How would I simplify this?
Answer:
9y
Step-by-step explanation:
Add 7y and 5y which equals 12y. Then subtract 3y from 12y and u get 9y. It might be wrong
In a game, Ben’s score was 3 times Sam’s score. Together they scored 80 points. Find their scores.
Answer:
PROBABLY ABOUT 27 OR 26.6666666667
Answer:
Ben's Score = 60
Sam's Score = 20
Step-by-step explanation:
60 + 20 = 80
I really don't know how to explain this.
A biologist was studying a certain species of earthworm. She collected samples of 6 adults from 2 different populations and measured their lengths in centimeters. The data are shown below.
Sample 1: 26, 25, 27, 19, 24, 26
Sample 2: 24, 23, 24, 26, 25, 25
Compare the means and ranges of the data for the 2 samples. Use your comparison to conclude the samples. Show and explain your work.
CAN YOU EXPLAIN WHY ALSO CAN YOU DO THIS AS SOON AS POSSIBLE PLEASE AND THANK YOU?
Answer:
Calculating the means:
Sum each length from each sample and divide it by the number of worms.
Sample 1: 26 + 25 + 27 + 19 + 24 + 26 = 147/6 = 24.5
Sample 2: 24 + 23 + 24 + 26 + 25 + 25 = 24.5
They each have the same sample mean.
Ranges: Take the largest length and subtract the smallest.
Sample 1: 27 - 19 = 8
Sample 2: 26 - 23 = 3
Sample 1 has a greater range.
Complete both and will give brainliest
Answer:
1)12 people voted
2)60mph
Step-by-step explanation:
HELP HELP HELP HELP LOOK AT PICTURE
Answer:
It’s 2.5 minutes per mile
Step-by-step explanation:
Because 10/4 is 2.5 which means he’s riding his bike one mile per every 2.5 minutes.
find the measure of each interior angle of a regular polygon with the following number of size 6
Answer
number of side(n)=6
formula to calculate each interior angle =((n-2)×180)/n
now,
((6-2)×180)/6
(4×180)/6
720/6
120
may this will help you
Answer:
120°
Step-by-step explanation:
n = 6
Work:
[tex]\frac{(n-2) *180}{n} \\\\\frac{(6-2) *180}{6} \\\\\frac{4 *180}{6} \\\\\frac{720}{6} \\\\120[/tex]
Find the first 5 terms.
Answer:
15/8
Step-by-step explanation:
 Find sin2x, cos2x, and tan2x if sinx=-15/17 and x terminates in quadrant III
Given:
[tex]\sin x=-\dfrac{15}{17}[/tex]
x lies in the III quadrant.
To find:
The values of [tex]\sin 2x, \cos 2x, \tan 2x [/tex].
Solution:
It is given that x lies in the III quadrant. It means only tan and cot are positive and others are negative.
We know that,
[tex]\sin^2 x+\cos^2 x=1[/tex]
[tex](-\dfrac{15}{17})^2+\cos^2 x=1[/tex]
[tex]\cos^2 x=1-\dfrac{225}{289}[/tex]
[tex]\cos x=\pm\sqrt{\dfrac{289-225}{289}}[/tex]
x lies in the III quadrant. So,
[tex]\cos x=-\sqrt{\dfrac{64}{289}}[/tex]
[tex]\cos x=-\dfrac{8}{17}[/tex]
Now,
[tex]\sin 2x=2\sin x\cos x[/tex]
[tex]\sin 2x=2\times (-\dfrac{15}{17})\times (-\dfrac{8}{17})[/tex]
[tex]\sin 2x=-\dfrac{240}{289}[/tex]
We know that,
[tex]\cos 2x=1-2\sin^2x[/tex]
[tex]\cos 2x=1-2(-\dfrac{15}{17})^2[/tex]
[tex]\cos 2x=1-2(\dfrac{225}{289})[/tex]
[tex]\cos 2x=\dfrac{289-450}{289}[/tex]
[tex]\cos 2x=-\dfrac{161}{289}[/tex]
Using the trigonometric ratios, we get
[tex]\tan 2x=\dfrac{\sin 2x}{\cos 2x}[/tex]
[tex]\tan 2x=\dfrac{-\dfrac{240}{289}}{-\dfrac{161}{289}}[/tex]
[tex]\tan 2x=\dfrac{240}{161}[/tex]
Hence, the required values are [tex]\sin 2x=-\dfrac{240}{289},\cos 2x=-\dfrac{161}{289},\tan 2x=\dfrac{240}{161}[/tex].
help plzz I need an answer ASAP
will mark u as brainliest if the answer is valid
Answer:
A + B + C + D = 52.35
Step-by-step explanation:
Here, we want to get the sum of A, B , C and D
from the question, s represents the number of small candies
L represents the number of large candies
Let us start with the cost;
small candies cost 10 cents; that is same as 10/100 = $0.1
large candies cost 25 cents, that is same as 25/100 = $0.25
so therefore, A is 0.1 and B is 0.25
C and D represents the total number of candies bought and that is 52
So, the sum of A, B , C and D is ;
0.25 + 0.1 + 52 = 52.35
Please answer correctly!! I’ll mark as brainliest!
No links no fake answers
Answer:
1. SOH CAH TOA
Sine Opposite Hypotenuse, Cosine adjacent hypotenuse, tangent opposite adjacent
2. 24
Please help 13 points geometry!!
1, 140 °
2, 40°
3, 100 °
4, 100°
5, 40°
6, 90 °
7, 120 °
8, 130 °
Step-by-step explanation:
1, BOA IS EQUAL TO FOH = 140°
2, FOE EQUAL TO BOA = BOA = 40° = FOE = 40°
3, BOA° + GOF° =40° + 60° = 100 °
4, GOE = BOC WHICH MEAN GOE = 100° = BOC = 100°
5, COD = HOG =40 °
6, EOD= AOG = 90°
7, AOD = GOE + COD = 100° + 40 ° = 140°
8, BOG = 140 °
Find the missing side of the triangle using Pythagorean theorem
Answer:
D) [tex]8\sqrt{3}[/tex]
Step-by-step explanation:
a² + b² = c²
x² + 8² = 16²
x² + 64 = 256
x² = 192
[tex]\sqrt{x^2} =\sqrt{92} \\x=8\sqrt{3}[/tex]
Pls help i need it will give brainiest to best answer <33
Item 6 Find the perimeter of the figure. Round your answer to the nearest hundredth.
Answer:
The perimeter of a semicircle is the sum of the half of the circumference of the circle and diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius.
What is the slope of the line that passes through (-2,-2) and (3,-1)?
Answer:
+1/5
Step-by-step explanation:
PLEASE HELP!!!! Also if your smart with math can you look at my other posts because I am still really confused and there is more than one question per question post thing... Anyways thank you so much but please don't just put a link..........
Answer:
i,m no smart sorry
Step-by-step explanation:
(4,-1), (-5,9) midpoint
Step-by-step explanation:
(-1/2, 4)
how's this helps
como resolve essa conta
p = 8 + 10?
Answer:
P equals 18 because 8 plus 10 is 18.
Step-by-step explanation:
STOP SCROLLING HELP ME PLSSSSSS!
Answer:
use proportions??
Step-by-step explanation:
i
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do
this i am only in 5th grade yikes
For anybody who wants to know.
It’s -5,1
Answer:
ok
Step-by-step explanation:
cool
3 (x - 6) + 5 (a + 1) - 2 (4x + 2)
someone pleasr help!!
Answer:
I think the answer is 7x+ 6a
Step-by-step explanation:
3 (x - 6) + 5 (a + 1) - 2 (4x + 2)
3 (-6x) + 5 (1a) -2 (6x)
3x + 6a + 4x
= 7x+ 6a answer!
write an expression in standard form that Is equivalent to 2 + 3(x - 4)
Answer:
2+3=5(x-4) ,
=5(x-4)
=5x-4
=1x
What is the 100th term in the arithmetic sequence 3,19,...
Answer:
a=3
d=19-3=16
recall that:Tn=a+(n-1)d
T100=3+(100-1)16
=3+99×16
=3+1584
=1587
Therefore T100=1587
In this figure, triangle GHJ is similar to triangle POR.
Based on this information, which ratio represents tan H?
Answer:8/15
Step-by-step explanation:
Tanθ in a right angle triangle is the ratio of its perpendicular to its base. The ratio that represents the Tan(∠H) is [tex]\dfrac{8}{15}[/tex].
What is Tangent (Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
Base is the adjacent smaller side of the angle θ.
As it is given that the two of the given triangles are similar triangles, therefore, their corresponding sides will be in the same ratio.
[tex]\dfrac{QR}{HJ} = \dfrac{RP}{JG} = \dfrac{PQ}{GH}[/tex]
Further, the sides can be written as,
[tex]\dfrac{QR}{HJ} = \dfrac{RP}{JG}\\\\\dfrac{QR}{RP} = \dfrac{HJ}{JG}=\dfrac{15}{8}[/tex]
Now, the Tan(∠H) can be written as,
[tex]\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
Substituting the value for the ∠H in ΔHJG,
[tex]\rm Tangent(\angle H) = \dfrac{JG}{HJ}[/tex]
As the ratio is already known, therefore,
[tex]\rm Tangent(\angle H) = \dfrac{8}{15} = 0.5\bar3[/tex]
Hence, the ratio that represents the Tan(∠H) is [tex]\dfrac{8}{15}[/tex].
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Answer:
First estimate:
63% is kind of close to 60%
41 is kind of close to 40
its easy to compute 60% of 40 - it's 24
Second estimate:
14% is close to 15%
96 is close to 100
15% of 100 = 15
Answer:
1st one is 25.83, so estimate that so it shud be like 24
Step-by-step explanation:
what fraction has the greatest value?
Answer:
5/6
Step-by-step explanation:
Answer: 5/6
Step-by-step explanation: 1 whole would be 6/6 and 5/6 is very close to 1 whole
A hexagonal prism has a base with an area of 15 square inches and the volume is 105 cubic inches.
Answer:
The height is 7 inches
Step-by-step explanation:
Given
[tex]Base\ Area = 15in^2[/tex]
[tex]Volume = 105in^3[/tex]
Required
Determine the height [missing from the question]
The volume of a hexagonal prism is:
[tex]Volume = Base\ Area * Height[/tex]
Make Height the subject
[tex]Height = \frac{Volume}{Base\ Area}[/tex]
[tex]Height = \frac{105in^3}{15in^2}[/tex]
[tex]Height = \frac{105in}{15}[/tex]
[tex]Height = 7in[/tex]
Rewrite the expression with a rational (fraction) exponent:
7Vz
PLEASE HELP ASAP
Answer:
z^1/7
Step-by-step explanation:
trust me
f(x) = -2x^2 + 8x -1 Evaluate f(6)
Step-by-step explanation:
f(x) = 2x²+ 8x -1
f(6) = 2(6) + 8(6)-1
= 13 + 48 - 1
= 61-1
= 60.
A stage in the shape of a semi circle had a diameter of 42 ft. What is area of the stage? Use 22/7 for π. PLZ I NEED FAST TEST
A semi circle is half a full circle. Find the area of the full circle and divide it by 2.
Area of a circle = pi x r ^2
R is half the diameter
Area of full circle:
Area = 22/7 x 21^2
Area = 1386 sq. Ft
Area of stage = 1386/2 = 693 square feet
Answer:
3.14 x 42 x 42 = 5538.96ft
If your wondering why used 3.14 instead of 22/7 is because they are exactly the same just one is a whole number and the other is a fraction. I suggest you use 3.14 because its easier than 22/7.
Step-by-step explanation:
:))