Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why AJKL= AQRS?
Check all that apply.
O A. HL
B. SAS
O C. LL
O D. HA
D E. LA
F. SSS
Answers
Answer: HL, SAS, LL, SSS
Step-by-step explanation:
its that easy
ΔJKL and ΔQRS are congruent by HL, SAS, SSS, and LL postulates.
Options A, B, C, and F are the correct answer.
What is triangle congruency?
There are ways to prove that two triangles are congruent.
- Side-Side-Side (SSS) Congruence.
The three sides of one triangle are equal to the corresponding three sides of another triangle.
- Side-Angle-Side (SAS) Congruence.
The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.
- Angle-Side-Angle (ASA) Congruence.
The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.
- Angle-Angle-Side (AAS) Congruence.
We have,
LL congruency
Two triangles are said to be congruent under LL congruence if they have two pairs of corresponding sides that are equal in length and the included angles between these pairs of sides are also equal.
HL congruency
If two right triangles have the same hypotenuse and one corresponding leg, then the two triangles are congruent (have the same shape and size).
Now,
The two triangles are right triangles.
So,
From the definition of congruency, we can say,
ΔJKL and ΔQRS are congruent by:
HL, SAS, SSS, and LL.
Thus,
ΔJKL and ΔQRS are congruent by HL, SAS, SSS, and LL postulates.
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Related Questions
To change Celsius temperatures to Fahrenheit temperatures, you can use the formula F = 95C + 32. Which answer is the best first step to solve the equation for C?
Answers
Answer: I think that the guy above is right just subtract 32.
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The first step in solving the equation for C is
Subtract 32 on both sides.
F - 32 = 95C + 32 - 32
F - 32 = 95C
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example:
2 + 3x + 4y = 7 is an expression.
We have,
To change Celsius temperatures to Fahrenheit temperatures, you can use the formula F = 95C + 32.
Solve for C.
F = 95C + 32
Step 1:
Subtract 32 on both sides.
F - 32 = 95C + 32 - 32
F - 32 = 95C
Divide both sides by 95.
(F - 32)/95 = C
C = (F - 32) / 95
Thus,
The first step in solving the equation for C is
Subtract 32 on both sides.
F - 32 = 95C + 32 - 32
F - 32 = 95C
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what is 2x + 27 = -3 (x+5) + 7
Answers
Answer:
The answer is x = -7
Answer:
2^x = 16
Step-by-step explanation:
Can someone help me? Giving 23 Points.
Answers
Answer:
Option 2 you welcome
explanation: I had this question a while back and I'm 100% sure that this is the right answer!
HELP!! FAST!!! PLZ!! I'll GIVE BRAINLYEST!!!!!! 10 POINTS!!!!
Which statement is TRUE about perpendicular lines?
A. The lines are in the same place but never intersect.
B. The lines are not in the same plane.
C. The lines intersect at an acute angle.
D. The lines intersect at a right angle.
(They nerved gave me a picture!!!!)
Answers
Answer:
A im sure
Step-by-step explanation:
Step-by-step explanation:
D. The lines intersect at a right angle
Jose earns $60 a day. After a few days. Jose has $240. How many days has Jose worked?
Answers
Answer:
He has worked 4 days.
Step-by-step explanation:
240 divided by 60 is 4.
If this helped I would appreciate it if you marked me brainliest. Thank you and have a nice day!
60d=240
We need to solve for d the number of days he worked and to do this we need to get d by itself
Divide 60 by both sides because in doing so, we will remove the 60 from d to get d alone
60d/60=240
***D=4***
Jose has worked 4 days
Find the value(s) of A so that XYZW is an isosceles trapezoid. All answers should be fully simplified.
Answers
Answer:
a = 4√5Step-by-step explanation:
Given
Trapezoid XYWZAs given, sides XW and YZ are parallel and XY = WZ
Since it is isosceles, angles X and W are of same size
Therefore:
a² + 15 = 2a² - 652a² - a² = 15 + 65a² = 80a = √80a = 4√5how do i simplify 4^(n-2)+4^(n-1)+...+4^0
Answers
add them all up or Mutiply and Divide all together I think
What is the value of 0
Answers
Answer:
The number 0 is the smallest non-negative integer. The natural number following 0 is 1 and no natural number precedes 0. The number 0 may or may not be considered a natural number, but it is an integer, and hence a rational number and a real number (as well as an algebraic number and a complex number).
Cardinal: 0, zero, "oh" (/oʊ/), nought, naught, nil
Binary: 0
2
Hexadecimal: 0
16
Step-by-step explanation:
QUICK!!!!!
Analyze the conditional statement below and complete the instructions that follow.
If m is the midpoint of AB, then M divides AB into two congruent segments.
Identify the inverse of the converse of the conditional statement.
O If M is not the midpoint of AB, then M does not divide AB into two congruent segments.
If M is the midpoint of AB, then M divides AB into two congruent segments.
If M divides AB into two congruent segments, then M is the midpoint of AB.
Olf M does not divide AB into two congruent segments, then M is not the midpoint of AB.
Answers
Answer:
D. If M does not divide AB into two congruent segments, then M is not the midpoint of AB.
Step-by-step explanation:
A conditional statement is one that include 'if'. Thus it is also referred to as an 'if' statement.
Given a conditional statement:
If M is the midpoint of AB, then M divides AB into two congruent segments.
The converse of the given statement is done by interchanging the two parts of it. So that we have:
If M divides AB into two congruent segments, then M is the midpoint of AB.
Then, the inverse can be obtained by getting the negative of both parts of the converse. Therefore, the inverse is:
If M does not divide AB into two congruent segments, then M is not the midpoint of AB.
The correct option is D.
-11 = -4/3 y
Please answer the question...
What is the value of y?
Answers
Answer:
8.25
Step-by-step explanation:
-11 = (-4/3) y
(-11)/(4/3) =y
∴ y = 8.25
Which set of coordinates describes a function
Answers
The answer would very. Let's say the function is y + 4 = (x + 4)
Two points would be (-4,-4) and (4,0)
Which number line models the solution set of -2x + 7 > 17?
Pls do 2 answers for good measures (and brainliest)
Answers
Answer:
-5
Step-by-step explanation:
-2x+7>17
-2x>17-7
-2x>10
Divide both sides by -2
-2x<10
-2 -2
x<-5
Note:when dividing with a negative the signs changes
Answer:
Step-by-step explanation:
- 2x + 7 > 17
- 2x > 17 - 7
- 2x > 10
x < 10 ÷ ( - 2 )
x < - 5
x ∈ ( - ∞ , - 5 )
What is the equation of the line that passes through (-1, -7) and has a slope of 2?
Answers
Answer:
y=2x + 5 I think it should be
Am I right vote you brainiest
Answers
Answer:
false
Step-by-step explanation:
Given f(x) = 4x-6 and g(x) = f(2x) what is an equation for the function g?
a) g(x) = 2(4x-6)
b) g(x) = 4x-12
c) g(x) = 8x-6
d) g(x) = 2(4x-6)-6
Answers
Answer: g(x) = f(2x) = 4(2x)-6= 8x-6 => c
Step-by-step explanation:
What is the rectangular form of 17(cos(315°) + isin(315°))?
Answers
The value of the expression 17[cos(315°) + isin(315°)] will be (17√2 / 2) – (17√2 / 2)i. Then the correct option is A.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The rectangular form of 17(cos(315°) + isin(315°)).
We know that the value of cos 315° and sin 315°.
[tex]\sin 315^o = \dfrac{-1}{\sqrt2}\\\cos 315^o = \dfrac{1}{\sqrt2}[/tex]
Then the value of the expression will be
⇒ 17[(1/√2) – (1/√2)i]
⇒ (17√2 / 2) – (17√2 / 2)i
Then the correct option is A.
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Answer:
A
Step-by-step explanation:
How many pairs of angles are marked as congruent in the figures below?
pls answer real quick 20 points!!!!!!
Answers
Answer:2
Step-by-step explanation:According to the diagram,there is a single angle marking for one pair of angles V and M,a double angle marking for angles X and L.
Answer:
I got C. 2
Step-by-step explanation:
I finished the test ( :
p-1/4=5 1/4
(Change mixed number into a improper fraction first.)
PLZ HELLP WILL GIVE BRAINLY
Answers
p-1/4-(21/4)=0
Step by step solution :
STEP
1
:
21
Simplify ——
4
Equation at the end of step
1
:
1 21
(p - —) - —— = 0
4 4
STEP
2
:
1
Simplify —
4
Equation at the end of step
2
:
1 21
(p - —) - —— = 0
4 4
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 4 as the denominator :
p p • 4
p = — = —————
1 4
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
p • 4 - (1) 4p - 1
——————————— = ——————
4 4
Equation at the end of step
3
:
(4p - 1) 21
———————— - —— = 0
4 4
STEP
4
:
Adding fractions which have a common denominator :
4.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(4p-1) - (21) 4p - 22
————————————— = ———————
4 4
STEP
5
:
Pulling out like terms :
5.1 Pull out like factors :
4p - 22 = 2 • (2p - 11)
Equation at the end of step
5
:
2 • (2p - 11)
————————————— = 0
4
STEP
6
:
When a fraction equals zero :
6.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
2•(2p-11)
————————— • 4 = 0 • 4
4
Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
2 • (2p-11) = 0
Equations which are never true:
6.2 Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
6.3 Solve : 2p-11 = 0
Add 11 to both sides of the equation :
2p = 11
Divide both sides of the equation by 2:
p = 11/2 = 5.500
Plssss helpppp ASAPP
will mark BRAINLIEST!!!
Answers
Answer:
the last two
Step-by-step explanation:
The measurement system used by most scientists and engineers known as the international System of
Units is represented by the two letters.
Answers
(6x)^2 can be thought of as a vertical stretch by a factor of
O 6
O 36
O nothing
Answers
Alice rode her bicycle the same number of miles every day for 17 days. She
rode a total of 68 miles during these 17 days. At this rate, how many miles did
Alice ride her bicycle in 1 day?
Answers
Answer: 4
Step-by-step explanation:
Alice ride her bicycle in 1 day for a distance of 4 miles.
What is Division?Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number.
Given that,
Alice rode her bicycle the same number of miles every day for 17 days.
Let x be the number of miles that Alice rode for 1 day.
She rode x miles for 17 days.
Total number of miles that she rode in 17 days = 68 miles
So, we have,
17x = 68
Dividing both sides by 17,
x = 4
Hence the number of miles Alice rode in 1 day is 4 miles.
Learn more about Division here :
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Find the slope of the line on the graph. Write your answer as a fraction or a whole number, not a mixed number or decimal. Enter the correct answer. I'LL GIVE THE BRAINLIEST
Answers
(0,4), (1,6)
Find slope
(6-4)/(1-0) = 2/1 = 2
what is the range of f?
Answers
Answer:
[-4,5]
Step-by-step explanation:
you look on the starting point and the ending point of the y-axis ( you always start with the smallest value)
time to waste more points a yo help me
Answers
Answer:
1 mile every 6 minutes because 30 divided by 5 is 6 and 5 divided by 5 is 1
Step-by-step explanation:
I hoped this helped and if it did I would appreciate it if you marked me brainliest. Thank you and have a nice day!
Why does sin54°≈0.809≈cos36° in a right triangle?
A
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.
B
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the adjacent leg and the hypotenuse and cos36° is the ratio of the opposite leg and the hypotenuse. In this triangle, the adjacent leg of 54° and the opposite leg of 36° are the same leg in the triangle.
C
54° and 36° are supplementary in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and adjacent leg of 36° are the same leg in the triangle.
D
54° and 36° are supplementary in the same right triangle. sin54° is the ratio of the adjacent leg and the hypotenuse and cos36° is the ratio of the opposite leg and the hypotenuse. In this triangle, the adjacent leg of 54° and opposite leg of 36° are the same leg in the triangle.
Answers
9514 1404 393
Answer:
A
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.
Step-by-step explanation:
The answer explains itself.
The sum of angles in a triangle is 180°. When one of the angles is 90°, the sum of the other two angles is also 90°. That means those two acute angles are complementary (not supplementary).
The mnemonic SOH CAH TOA reminds you that ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
The diameter of a circle is 2 units What is the radius of the circle
Answers
Answer:
The radius of the circle is 1.
Step-by-step explanation:
The way to find the radius of a circle is to divide the diameter by 2.
Answer:
1
Step-by-step explanation:
Stefanie swam four-fifths of a lap in the morning and seven-fifteenths of a lap in the evening. How much farther did Stefanie swim in the morning than in the evening?
Answers
4/5 - 7/15
12/15 - 7/15 = 5/15
5/15 = 1/3
Question is attached!
Answers
Answer:
what are the answer
Step-by-step explanation:
Please look at the slope and write the equation for each problem...
Answer this correctly, troll and you will get reported.
Answers
Answer:
7. y-1=4(x-2)
y-1=4x-8
y=4x-7
8. y-2=6(x--7)
y-2=6x+42
y=6x+44
11. y-3=2(x-1)
y-3=2x-2
y=2x+1
12. y-4=-1(x-1)
y-4=-x+1
y=-x+5