How do you prove a triangle is SAS?
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If the two sides on one triangle are congruent to the corresponding two sides of the other triangle and the included angles are congruent in both triangles, then the triangles are congruent by SAS (side-angle-side).
Congruent triangles: Two triangles are said to be congruent if they have the same angle measurements and have the same side lengths.Included angle: An included angle is the angle between two given sides.SAS theorem of congruence: The SAS (side-angle-side) theorem of congruence states that if two sides and their included angle in one triangle are exactly equal to the corresponding two sides and their included angle in another triangle, then the two triangles are congruent.
Use the SAS theorem of congruence to determine if the triangles in the figure below are congruent.
From fig(1) is congruent to fig(2).
For each triangle, find two labeled sides with labeled included angle (side-angle-side in order).
For ΔABC, we have:
|AC|=10,m∠A=46∘, |AB|=7
For ΔXYZ, we have:
|XZ|=10,m∠Z=46∘, |YZ|=7
Compare the results from step. If the two sides on one triangle are congruent to the corresponding two sides of the other triangle and the included angles are congruent in both triangles, then the triangles are congruent by SAS.
So, |AC|=|XZ|, m∠A=m∠Z, |AB|=|YZ| the triangles are congruent by SAS.
For more such questions about side-angle-side.
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Related Questions
Suppose 80 out of 400 cat owners surveyed said their cats have bad breath. What percent of the cat owners is this?
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please help, no links, will give brainiest
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Answer:
? = 20
Step-by-step explanation:
Since the figures are similar then the ratio of corresponding sides are equal, that is
[tex]\frac{12}{15}[/tex] = [tex]\frac{?}{25}[/tex] ( cross- multiply )
15 ? = 300 ( divide both sides by 15 )
? = 20
The following data table represents the total cost of a monthly cell phone bill as a function of the number of minutes that the phone is used each month.
The table shows that as more minutes are used each month, the total monthly cost will increase at the same rate. Assuming that this is true, what is the total monthly cost for the cell phone if it is used for 2,500 minutes?
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The total monthly cost would be $214
explanation:
They gave us 1,250, which is half of 2,500. multiplication:
1,250 = 2,500
107 = x
2 × 1,250 = 2,500
2 × 107 = 214
Therefore, the total monthly cost if the cell phone is used for 2,500 minutes is $214.
HELP FAST giving 5 stars
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Answer:
The red is 1/3 and yellow is 1/4
Step-by-step explanation:
there are 3 colors and 1 of them is red so 1/3 same goes to the yellow 4 colors and is 1 yellow so 1/4
Supplementary angles always add up to 180 degrees. TRUE OR FALSE
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Answer:
yes this is true.
Supplementary angles always add up to 180°.
Answer:
True
Supplementary angles always add up to 180°
What is the range of possible values for x?
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Answer:
Choice A) 0 < x < 18
Step-by-step explanation:
10x = 6x + 20
subtract
4x = 20
solve for x
x = 5
Evaluate the expression when a = 3.
2a =
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Answer:
6
Step-by-step explanation:
replace a by 3
when a=3
2(3)=6
A local drive-in theatre sells entrance tickets for cars on weekend nights. At capacity, the drive-in can hold 72 cars. The function C(n) =25n represents the drive in's revenue on a weekend night, where n represents the number of cars. in this situation, what is the domain of c(n)?
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Answer:
Domain is: 0 ≤ n ≤ 75 where n is an integer
Step-by-step explanation:
questions 13 & 14 FAST PLS ITS A TEST! WILL GIVE BRAINLIEST!
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14: answer is x= 1/3, x= 2
What is the equation of the line that passes through the point (4, 6) and is parallel to the line 2y - 4x = 1?
Select one:
O A. y = - 2x - 2
O B. y = 2x + 2
O C. y = x - 2
O D. y = 2x - 2
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Answer:
D. y = 2x - 2
Step-by-step explanation:
1) First, find the slope of the given line. Place it in slope-intercept form to identify its slope easily. Isolate the y in the equation:
[tex]2y-4x = 1\\2y = 4x+1\\y = 2x+\frac{1}{2}[/tex]
A line placed in slope-intercept form is represented by the formula [tex]y = mx + b[/tex]. The [tex]m[/tex], or the coefficient of the x-term, represents the slope. Thus, the slope of this line is 2.
2) Lines that are parallel share the same slope. So, the slope of the parallel line will have 2 as its slope as well.
We now have enough information to write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form and find out which option is correct.
Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex]. Since [tex]m[/tex] represents the slope of the line, substitute 2 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (4,6) into the formula as well. Then, with the resulting equation, isolate y like before to find which option is correct:
[tex]y-6 = 2(x-4)\\y-6 = 2x-8\\y = 2x-2[/tex]
So, option D is correct.
What is the difference of (3/4x - 2/3) - (-5/6 + 2x) ?
-5/4x + 1/6
-5/4x - 1/6
-11/4x + 1/6
-11/4x - 1/6
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Answer:
first option is correct
look at given picture
Solve for x in the picture below
Answers
Answer:
x = 16
Step-by-step explanation:
The sum of the exterior angles of a triangle = 360°
Sum the exterior angles and equate to 360
5x + 12 + 10x - 37 + 9x + 1 = 360 , that is
24x - 24 = 360 ( add 24 to both sides )
24x = 384 ( divide both sides by 24 )
x = 16
Answer:
x = 15
Step-by-step explanation:
The sum of angles in a triangle is 180deg.
Let's mark the measures of the internal angles as A, B and C.
We know that
A + B + C = 180deg
180deg - A + 180deg - B + 180deg - C = (9x + 1)deg + (5x + 12)deg + (10x - 37)deg
3*180deg - (A + B + C) = (24x - 24)deg
540deg - 180deg = (24x - 24)deg
360deg = (24x - 24)deg
360 = 24x - 24
384 = 24x
15 = x
Ursula picks carrots and radishes from her garden. She picks 4/1/4 pounds of carrots and 1/3/4 pounds of radishes.How many more pounds of carrots does she pick than radishes.
Answers
Answer:
2 1/4
Step-by-step explanation:
[tex]4\frac{1}{4} - 1\frac{3}{4}[/tex]
[tex]3\frac{1 - 3}{4}[/tex]
[tex]2\frac{4-3}{4}[/tex] = 21/4
In circle P shown, the measure of angle P Q S is 20°.
Answers
Answer:
D 70
Step-by-step explanation:
Hello there!
A triangle formed inside of a circle using the diameter ( segment RQ ) is a right triangle
Meaning that the angle across from the hypotenuse ( diameter ) is a right angle ( = 90 degrees )
That being said we are given two angles (90 and 20 ) so we can easily calculate the measure of the missing angle
Remember the sum of the angles in a triangle is equal to 180 so we can find the missing angles by subtracting the given angles ( 90 and 20 in this case ) from 180
angle PRS = 180 - 90 - 20
180 - 90 = 90
90 - 20 = 70
Therefore your answer is D. 70
Graph the functions y=4^x+4-4 and y=4^x describe the translation in words between these two functions starting from y=4^x to y=^x+4-4.
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Answer:
The two graphs are on the same place.
The translation from the first one to the second one implies a shift upwards of 4 units, and then a shift downwards of 4 units, resulting in the starting position.
what is the slope of the line below?
Answers
Answer:
1/2
Step-by-step explanation:
To find slope just compare two points on the graph and then put them into fraction form like so y/x
PLEASE help it’s due today at 10pm
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PLEASE ANSWER!!!
A. 4x+2=70+35
B. 4x+72=180
C.180=4x+107
D. 180=109x+2
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Answer:
c
Step-by-step explanation:
its c , absolutely.............
Answer:
C * 180 = 4x + 107
Step-by-step explanation:If you add all sides by each other all you would do next is add the 4x to get your 180
The box plot represents this data set
20,25,30,38,40,42,45,50,65,70
what value does the letter E represent on the box plot of the data?
I------------| | |-----------|
A B C D E
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Answer:
Step-by-step explanation:
In your diagram, E appears to be the MAXIMUM value of the data (70).
Write 2 19/20as a decimal.
20
X
Answers
Answer:
2.95
Step-by-step explanation:
edge 2020
p.s. pls mark brainliest, and have a good day! :)
Well there are 5 questions
Please help
Will give brainliest
Answers
Answer:
1. 30
2. x = 0
3. x = 10
4. 11.7
5. 60
Step-by-step explanation:
can i get some help please i would really appreciate it ;)
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GIVING BRAINLIEST
Study the function below and then answer the
questions that follow.
f(x)=
-x-2 x<-2 -x^2 -2=0
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Answer:
Step-by-step explanation:
Answer:
B then A
Step-by-step explanation:
Domain is B, range is A.
May someone please help me with this:)
Answers
Answer:
i think its 64
Step-by-step explanation:
Radius =2.
Height =4.
Pi=3.14.
V= 3.14(2)2(4).
Volume = 50 .24 cm^2
In this problem a,b,c and d are nonzero integers. If a/b is added to x, the sum is c/d. Which statement can be used to prove that x must be a rational number.
A= x=cb-ad/bd B= x=cb+ad/bd C= x=c-a/d-b D= x= c+a/d-b
Answers
Answer:
x=cb-ad/bd
Step-by-step explanation:
The statement which can be used to prove that x must be a rational number is x = (cb - ad) / bd
Prove of rational numberGiven nonzero integers:
a, b, c, d
If a/b is added to xa/b + x
the sum is c/da/b + x = c/d
prove x to be a rational number
a/b + x = c/d
subtract a/b from both sidesa/b + x - a/b = c/d - a/b
x = c/d - a/b
x = (cb - ad) / bd
Therefore, the statement which can be used to prove that x must be a rational number is x = (cb - ad) / bd
Learn more about rational number:
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2. What is the value of x?
Answers
Answer:
x = 5
Step-by-step explanation:
The total degrees in a 4 sided polygon is 360°
360° = 51° + 51° + 2(28x - 11°)
56x - 22° + 51° + 51° = 360°
56x = 280°
x = 5
(2r^2t ^3)^2
4t^2
explain what you would do first to simplify the expression below.
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Answer:
first expand the brackets
using this distribution find the probability that a teenager has 3 or fewer pairs of shoes in their closet(answer in decimal form)
Answers
Answer:
.7
Step-by-step explanation:
Please help me with this question!
Answers
Answer:
9 plates and mugs
He could buy 9.375
but you cant buy a portion of a plate so you buy 9
If the rectangular screen of a 40-inch monitor is 35 inches wide, what is the height of the monitor? Round to the nearest tenth.
Answers
Answer:
19.4
Step-by-step explanation:
We can solve this question using Pythagorean theorem
40^2 = h^2 + 35^2
1600= h^2+ 1225
1600-1225= h^2
375= h^2
h= √375
h = 19.4
Hence the height is 19.4