Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why ADEF= AKLM?
Check all that apply.
AA
O A. LA
ОВ. НА
O C. AAS
D. SAS
E HL
F.LL
Answers
=================================================
Explanation:
LA stands for Leg Angle. More specifically, the angle is an acute angle. This theorem only works for right triangles. We see that ED = LK which is one pair of congruent leg segments. So that takes care of the L part of LA. However, we don't know anything about the acute angles. We don't know if angle E = angle L, or if angle F = angle M, or something along those lines. We need angle markers to tell us or not.
In short, we only have half the info needed for LA, so we must cross choice A off the list.
----------------
HA stands for hypotenuse angle, or hypotenuse acute angle, and this rule only applies for right triangles. We don't know anything about the hypotenuse lengths if they are the same or not.
Similar to choice A, we don't know anything about the acute angles either.
Those two facts mean we must cross off choice B.
----------------
AAS stands for Angle Angle Side. The order is important because the side is not between the angles. The diagram only shows one pair of angles that are congruent to one another. That pair being the 90 degree angles indicated with the square marker. We don't have another pair of angles, so we cannot use AAS.
Cross choice C off the list.
-----------------
We can use SAS because we have two pairs of congruent sides and one pair of congruent angles.
The congruent sides are
ED = LK (double tickmarks)DF = KM (single tickmarks)That takes care of the two "S"s of "SAS". The "A" would be those two right angles which are congruent to one another. The angles are between the congruent sides which is important. Recall that SSA is not a valid congruence theorem.
So that's why choice D is the only answer.
-----------------
Side note: We could use the LL theorem, where L stands for leg, since we are given two pairs of congruent legs for each triangle. Like LA and HA, this only applies to right triangles. LL is a special case of SAS. However, LL isn't listed so we'll just be sticking with SAS as the only answer.
Related Questions
Answer the question pls
Answers
Answer:
f=54
Step-by-step explanation:
ma is m times a 3x18= 54
Answer:
F = -54
Step-by-step explanation:
You plug in the numbers that you can
so.. F = ma -ma= m * a
M= 3
a = -18
F = 3* (-18)
because there is one (-) number and you are multiplying your answer is going to be (-)
F= -54
Joey earns a weekly salary of $325 plus a commission on his total sales. Last week his sales were $2950, and he earned a total of $915. What was his commission rate?
Answers
Answer:
Commission rate is 20%.
Step-by-step explanation:
Joey's weekly salary is $325
Plus a commission on his total sales.
Let commission is x% on his total sales.
So, we can set up equation for the given information as
325+x%(2950)= 915
Solve this equation for x%.
Subtract both sides 325
x%(2950) =590
Divide both sides by 2950
x%=0.2
We know x% means it is [tex]\frac{x}{100}[/tex]
So, [tex]\frac{x}{100} =0.2[/tex]
Multiply both sides by 100
x=20%.
So, commission rate is 20%
What is 2x+7y=28 in slope intercept form
Answers
Answer:
y = -2/7x + 4
What is the base of the triangle? Pls I need it ASAP
Answers
Answer: 10 I think not sure
Step-by-step explanation: 1/2 base times height-> 1/2(6•10)
Solve for XSolve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Answers
Answer:
Step-by-step explanation:
Because the angles are opposite each other they are equal so we can say
4x-25=75
4x=100
x=25
x= 25
4x -25 = 75 ( vertically opposit angle)
4x = 100
x = 100/4
x= 25
angle = 75
hope it helps
Can someone please help????
Answers
Answer:
your answer is the third one
Step-by-step explanation:
Answer:
its 4
Step-by-step explanation:
81^5 = 3x pls help edg 2021
Answers
Answer:
if you have a calculator...
Step-by-step explanation:
take 85 to the 5th power and then divide that by 3.
Answer:
20
Step-by-step explanation:
correct on edge
If m = (3x-1) and n = (3x+1),sjow that x² = mn+1 by 9
Answers
Step-by-step explanation:
[tex] {x}^{2} = \frac{mn + 1}{9} [/tex]
[tex](3x - 1)(3x + 1)[/tex]
[tex]9 {x}^{2} - 1[/tex]
[tex] {x}^{2} = \frac{9 {x}^{2 } - 1 + 1 } {9} [/tex]
[tex] {x}^{2} = \frac{9 {x}^{2} }{9} [/tex]
[tex] {x}^{2} = {x}^{2} [/tex]
So this identity is true.
If x=−5, what is the value of 7−x(2x+1)?
Answers
Answjnweijfbiqwerf
Step-by-step explanation:
WILL GIVE BRAINLIEST!
Two angles of a triangle measure 45° and 87°. Find the measure of the third angle, in degrees. (Enter an exact number.)
°
Answers
Answer:
48
Step-by-step explanation:
All the angles of a triangle add up to 180
180-45-87=48
Hope this helps! If it did, please mark it brainliest!
P.S. Make sure not to fall for the link scams ;)
f (×)=12× +5. f (2)=
Answers
Answer:
f(2)=29
Step-by-step explanation:
just plug in 2 for x
12(2) +5
24+5
29
The diagram shows three squares that are joined at vertices to form a right triangle. Which statement is true?
A. The sum of the areas of Square N and Square L is equal to the area of Square K.
B. The sum of the areas of Square N and Square L is greater than the area of Square K.
C. The sum of the areas of Square N and Square K is equal to the area of Square L.
D. The sum of the areas of Square N and Square K is less than the area of Square L.
Answers
Answer: C
Step-by-step explanation: Because I said soooaiahi
Rewrite using Radicals
Answers
Answer:
cannot be put into radical form, sorry!
Step-by-step explanation:
A function is graphed
In which entire interval is the function increasing?
A. 0 to 5
B. 1 to 3
C. 2 to 5
D. 4 to 6
Answers
Evaluate using P E M D A S 2 x 3 + 4
Answers
Step-by-step explanation:
We would do multiplication first, because of order of operations.
2x3=6
Now we add.
6+4=10
hope it helps! :3
Then 6+4
Equals =10
An advertising company is curious about the impact the lengths of their television advertisements have on viewers' feelings about a product. They showed advertisements of different lengths to a group of volunteers and asked the volunteers to rate how positive they felt about the product on a scale of 111 to 101010. Their data is shown in the table below.
Avg. product rating/ 6.0/ 7.0/ 5.0/ 3.0/ 2.5
Ad length (seconds) 30/ 45/ 60/ 75/ 90
Answers
Answer:
Graph C
Step-by-step explanation:
Khan Academy
The correct graph that represents the given data effectively would be:
Graph C
The given data offers the average ratings of the product and the length of their advertisements in seconds.The third graph most effectively shows the data as it contains provided variables on the appropriate axis i.e. ad length on the x-axis and the average rating on the y-axis. The other graphs fail to represent the explanatory variable and the other variable effectively.Thus, 'graph C' in the scatter plot format is the correct answer.
Learn more about "Data" here:
brainly.com/question/16348111
someone help lol. bsbajajzisksnzjiskakzkz
Answers
Answer:
Nah I have grids
Step-by-step explanation:
If T is the centroid of ∡MNP, TN = 16, MQ = 23, and RP = 18, find each missing measure.
a) QT = ______
b) QN = ______
c) QP = ______
d) MP = ______
e) RT = _______
f) TP = ________
Answers
Answer:
a) QT = 8
b) QN = 24
c) QP = 23
d) MP = 46
e) RT = 6
f) TP = 12
Step-by-step explanation:
Find the diagram attached
If T is the centroid of<MNP, then the following are true;
TN = 2QT
Given TN = 16
16 = 2QT
QT = 16/2
QT = 8
QN = QT + TN
QN = 8 + 16
QN = 24
MQ + QP = MP and MQ = QP
If MQ = 23
QP = 23
Recall that MP = MQ + QP
MP = MQ + MQ
MP = 2MQ
MP = 2(23)
MP = 46
Similarly, TP = 2RT
RT = TP/2
Also RP = RT + TP
RP = RT + 2 RT
RP = 3RT
18 = 3RT
RT = 18/3
RT = 6
Recall that TP = 2RT
TP = 2(6)
TP = 12
Which statement best describes the polynomial?
-24^7 - 12x^2 -9x+6
It is in standard form because the exponents are in order from highest to lowest.
It is in standard form because the coefficients are in order from highest to lowest.
It is not in standard form because the constant should be the first term.
It is not in standard form because it can be further simplified.
Answers
Answer:-12[tex]x^{2}[/tex]-9x-4584671418
Step-by-step explanation:
Answer:
A. It is in standard form because the exponents are in order from highest to lowest
Step-by-step explanation:
On edg 2021
Express 12 as a sum, a difference, a product, and a quotient.
Answers
100- 88 =12
3x 4 = 12
24 divided by 2 =12
10,000-99 what does it mean and what does it add up to i am confused
Answers
what is 3 (2х-5) 2х+3=1
Answers
3(2x-5)+2x+3=1
6x-15+2x+3=1
8x-12=1
+12 +12
8x=13
/8 /8
x=1.625
---
sorry if this doesn't help
PLEASE HELPPP! I have to solve for X, this was my warmup but I'm not smart and I need to turn it in today!
Answers
Answer:
X=8
Step-by-step explanation:
48+22=70
4×8=48
so X is 8
which property of multiplication is shown? 4 x 1 + 4 x 3 = 4 x (1+ 3
Answers
Answer:
The properties of multiplication are distributive, commutative, associative, removing a common factor and the neutral element.
Step-by-step explanation:
The properties of multiplication are distributive, commutative, associative, removing a common factor and the neutral element.
Please help!
(Vieta's Formulas) Let [tex]r[/tex], [tex]s[/tex], and [tex]t[/tex] be solutions to the equation [tex]$2x^3 - 3x^2 + 4x - 1 = 0$[/tex]. Find [tex]$r^2+s^2+t^2$[/tex].
Please include an explanation as well :)
Answers
We are given the polynomial:
2x³ - 3x² + 4x - 1 = 0
We need to find the value of r² + s² + t² where r,s,t are the solutions.
Simplifying r² + s² + t²:
r² + s² + t² = (r + s + t)² - 2(rs + st + rt)
[since a²+b²+c² = (a+b+c)² - 2(ab + bc + ca)]
Using the Vieta's formulae:
Above, we can see that in order to find the value of r² + s² + t², we need to find the value of the sum of solutions and sum of solutions taken 2 at a time.
Sum of roots:
We know that the Vieta's formula to find the sum of roots is:
Sum of roots = [tex]-\frac{b}{a}[/tex]
Where b and a are the coefficients from the general form: ax³ + bx² + cx - d
We notice that for the given equation, b = -3 ; a = 2
Sum of roots = [tex]-(\frac{-3}{2})[/tex]
Sum of roots = [tex]\frac{3}{2}[/tex]
Hence, the sum of roots (r + s + t) = 3/2
Sum of roots taken two at a time:
We know that the Vieta's formula to find the sum of roots taken 2 at a time is: Sum of roots taken 2 at a time = [tex]\frac{c}{a}[/tex]
Where c and a are the coefficients from the general form: ax³ + bx² + cx - d
for the given equation, c = 4 ; a = 2
Sum of roots taken 2 at a time = [tex]\frac{4}{2}[/tex]
Sum of roots taken 2 at a time = 2
Hence, the sum of roots taken 2 at a time (rs + st + rt) = 2
Finding the value of r² + s² + t²:
We proved before that:
r² + s² + t² = (r + s + t)² - 2(rs + st + rt)
now that we know the values of (r + s + t) and (rs + st + rt), we can plug those values to get our answer
r² + s² + t² = ([tex]\frac{3}{2}[/tex])² - 2(2)
r² + s² + t² = ([tex]\frac{9}{4\\}[/tex]) - 4
r² + s² + t² = [tex]\frac{9 - 16}{4\\}[/tex]
r² + s² + t² = [tex]\frac{-7}{4}[/tex] = -1.75
Hence, the value of r² + s² + t² is -1.75
I need this answer ASAP! Please help!
A ladder is leaning against a building. The ladder forms an angle of 77° with the ground. The distance from the base of the ladder to the base of the building is 8 feet.
Answers
Answer:
Step-by-step explanation:
sin77=h/8
h=8sin77
h=8(0.9744)
h=7.7952ft
Please help! Thank you! :))
Answers
Explaination: if you take 195-150 and get 45, you get close to 30% so it’s pretty close to the answer.
Are these triangles similar? explain why did you pick yes or no.
Answers
Question Category: Solving Quadratic Equations by Factoring Select the correct answer. Find the solution to the equation below.2x^2 +3x - 20 = 0
A) x= -5/2, 4
B) x = -4, -3/2
C) x= -4, 5/2
D) x= -4, 3/2
Answers
Answer:
C. x = -4, 5/2
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
I did the quadratic formula, so 2 is A, 3 is B, and -20 is C. I got -4 and 5/2 as my answers...
(hope this helps :P)
A bookcase is to have 5 shelves including the top. The height of the bookcase is to be 3 feet more than the width and only 20 feet of lumber is available. Use an equation to determine the width and height of the bookcase?
Answers
Answer:
The width and height is 1.375 and 4.375 respectively
Step-by-step explanation:
The computation of the width and height of the book case is shown below:
Let the width be w
And, the height be h
So, the following equations should be made
5w+3h=20 ......(i)
h = w + 3......(2)
Now
put the value of h in equation (1)
5w + 3(w + 3) = 20
5w + 3w + 9 = 20
8w = 20-9
8w = 11
w = 11 ÷ 8
= 1.375
And, the height would be
= 1.375 + 3
= 4.375