What postulate or theorem can be used to prove that these two triangles are congruent?
PLEASE HELP I REALLY NEED IT!!!
I will give brainliest.
Use the picture
Answers
Answer:
AAS postulate can be used to prove that these two triangles are congruent
Step-by-step explanation:
Let us revise the cases of congruence
SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd ΔSAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and including angle in the 2nd ΔASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅ 2 angles and the side whose joining them in the 2nd ΔAAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles and one side in the 2nd ΔHL ⇒ hypotenuse and leg of the 1st right Δ ≅ hypotenuse and leg of the 2nd right ΔIn the given figure
∵ There is a pair of vertically opposite angles
∵ The vertically opposite angles are congruent ⇒ (1)
∵ There are two angles have the same mark
∴ These marked angles are congruent ⇒ (2)
∵ There are two sides have the same mark
∴ These two marked sides are congruent ⇒ (3)
→ From (1), (2), and (3)
∴ The two triangles have 2 angles and 1 side congruent
→ By using case 4 above
∴ The two triangles are congruent by the AAS postulate of congruency.
AAS postulate can be used to prove that these two triangles are congruent
Related Questions
. Rama subtracted 7 from thrice the number of marbles she has, and she gets the result as 20.
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Complete question :
Rama subtracted 7 from thrice the number of marbles she has, and she gets the result as 20. Find the number of marbles she has
Answer:
9 marbles
Step-by-step explanation:
Let The number of marbles she has = x
3 times the total - 7 = 20
That is ;
3x - 7 = 20
3x = 20 + 7
3x = 27
x = 27/3
x = 9
Number of marbles she has = 9
Help me with this it’s due tomorrow at 11 am
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Answer:
I'm sorry i can't help with all of the math, I do know that the answer for the radius is 4 though.
Step-by-step explanation:
Help Please! 50 points!
Answers
Answer:
The answer is:
Quotient: 6x^5+12x^4+17x^3+34x^2+71x+142+291/x−2
Remainder: 291
Step-by-step explanation:
I hope this helps. :)
Can you mark this as Brainliest.
Answer: The answer is:
Quotient: 6x^5+12x^4+17x^3+34x^2+71x+142+291/x−2
Remainder: 291
Step-by-step explanation:
I hope this helps. -.-
Step-by-step explanation:
If p(x) = 5(x² + 1) + 16, what is value of p(11)?
Answers
Answer: The answer is 626
Step-by-step explanation:
Substitute 11 for x, you get 626.
Dose y = 7.2x represent a proportional relationship, if so identify the constant of proportionality. If not, explain why not.
Answers
Answer:
Yes it does
The constant of proportionality is 7.2
Step-by-step explanation:
Here, we are to determine if the expression represents a proportionality relationship
From the question, we can see that this is so
If we placed x beneath y, we will have
y/x = 7.2
So therefore the ratio between the two is 7.2 and thus, the equation represents a proportional relationship
Solve the following systems of equations for x:
2x + 3y = 5
4x – 3y = 1
Answers
Answer:
b
Step-by-step explanation:
2x+3y=5 rearrange 2x=5-3y times all by 2 4x=10-6y
4x-3y=1 4x=1+3y
1+3y=10-6y 6y+3y=10-1 9y=9 y=1
4x-3(1)=1 4x=1+3 4x=4 x=1
Answer:
B
Step-by-step explanation:
2x+3y=5
(2×1)+(3×1)==5
2+3=5
(4×1)-(3×1)=1
4-3=1
Which set of rational numbers are ordered from least to greatest?
-3
- 2
-1 0
1
2
3
0-1-13.-14.-13
0-1,-1,-1,-1
0 -1,-11/11 - 11/20 - 11
0-13-13-13-1
Help!!
Answers
Answer:
B) -1 7/8, -1 1/2, -1 1/4, -1
Step-by-step explanation
Solve this please and explain how you do it thank you
Answers
Answer:
Step-by-step explanation:
7x=14
X=2
Can anyone answer this geometry question help pls!!
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Plzzz someone help I’m special
Order these numbers from least to greatest.
3.325, 3.32, 335, 7320
Answers
Answer:
3.32,3.325,335,7320
Answer:
3.32, 3.325, 335, 7,320
Hope it helps
Step-by-step explanation:
pls help, MARK BRAINLEST with correct answer. Work out the surface area of this solid prism.
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Answer:
Where's the prism? ＞︿＜
Step-by-step explanation:
Determine the solution of the equation 4y - 5= 7.
A) 4
B) 3
C)
Answers
Answer:
B) 3
Step-by-step explanation:
add 5 to both sides, 4x=12
divide both sides by 4, x=3
Answer:
The answer is B) 3
Step-by-step explanation:
You add 5 to 7 to move it from one side to the other
You should then have 4y=12
Then to solve for why you divide 12 by 4
You will get y=3
So your answer is 3
In the system of equations below, I want to eliminate the variable y.
3x + 5y = 2
6x - 10y = -16
The first step to solving this system of equations is multiplying the first equation
by a number other than -1. Which number would that be?
The answer choices are..
-2
5
-5
2
0 -5
2.
Answers
Answer:
(x,y)=(-1,1)
Step-by-step explanation:
Given that,
3x + 5y = 2 .....(1)
6x - 10y = -16 ....(2)
Finding the value of x from equation (1).
[tex]x=\dfrac{2-5y}{3}[/tex]
Put the value of x in equation (2)
[tex]6(\dfrac{2-5y}{3}) - 10y = -16\\\\2(2-5y)-10y=-16\\\\4-10y-10y=-16\\\\-20y=-16-4\\\\y=1[/tex]
Put the value of y in equation (1) :
[tex]3x + 5(1) = 2\\\\3x=2-5\\\\3x=-3\\\\x=-1[/tex]
So, the solution of the equations is (-1,1).
find the slope and y-intercept of the line in the equation 2y+x=-6 Show all work!
Slope=____ y-intercept=____
Answers
Subtract x
2y = -x - 6
Divide by 2
Y = -1/2x - 3
Format: y = mx + b
m = slope, b = y intercept
Solution: slope: -1/2
y intercept: -3
Let |a| = 12 at an angle of 25° and |b| = 7 at an angle of 105°. What is the magnitude of a + b? Round to the nearest decimal.
12.8
14.9
15.4
17.3
Answers
Answer:
It is 15.4 on edge. C
Step-by-step explanation:
Your question: "Let |a| = 12 at an angle of 25° and |b| = 7 at an angle of 105°. What is the magnitude of a + b? Round to the nearest decimal."
Calculate the magnitude
The answer is 15.4
Can you find the slope and type the correct code?
Answers
Answer:
1. (3,19) and (-1,-13)
to find the slope you need to do [tex]\frac{y2-y1}{x2-x1}[/tex]
Hence [tex]\frac{-13-19}{-1-3}[/tex]= 32/-4=-8
2. Take two points on the graph:
(-2,3) and (1,0)
Know that to calculate the slope you do
[tex]\frac{rise}{run}[/tex]= 4/2= 2
3. To find the slope in a table you need to choose any two points and utilize the following formula: [tex]\frac{y2-y1}{x2-x1}[/tex]= [tex]\frac{-16-(-8)}{2-1}[/tex]=-8/1= -8
4. Like in #1 we take the two points and plug it into the formula:
[tex]\frac{8-(-10)}{0-9}[/tex]=18/-9= -2
Please rate positively and give brainlist!
Step-by-step explanation:
If you were to roll the dice one time what is the probability it will NOT land on a 2?
Answers
Answer:
5 / 6
Step-by-step explanation:
Given that:
Probability that a dice rolled once will not land on 2
Probability = required outcome / Total possible outcomes
Total possible outcomes = (1, 2, 3, 4, 5, 6)
Required outcome = 2
P(not land on 2) = 1 - p(land on 2)
P(land on 2) = 1/6
P(not land on 2) = 1 - 1/6
P(not land on 2) = 5/6
Michael’s bill at a restaurant was $46.32. He wants to leave a 17% tip. What will the new total be, including tip?
Answers
Answer:
$54.19
Step-by-step explanation:
Ms. Crump always includes a few bonus questions on her tests. Since if you get them wrong they don't count against your score, you might as well try them. However, on the last test she said you were only allowed to answer 2 of the given 5 questions offered. How many combinations of the 2 questions can you make?
Answers
Step-by-step explanation:
Possible combinations = 5C2 = 5 * 4 / 1 * 2 = 10.
You are the president of an interior design company. You pay a part-time designer
$200 per week, plus $25 for each completed design. Write an equation to represent this
situation. Use this equation to determine how many completed designs you can have per
week if your weekly design budget is $800?
Answers
Answer: 24
Step-by-step explanation:
Okay, so if the part-time designer gets 200 dollars per week, we should subtract 200 by 800.
800 - 200 = 600.
Then we divide 600 by 25, and that will be the amount of completed designs we'll be able to have each week.
600 ÷ 25 = 24.
So in conclusion, you can pay the designer $200 per week and get 24 completed designs from him.
Hope this helps!
for f(x) =4x+1 g(x)=x²-5, find (f•g)(x)
Answers
Answer:
(f · g)(x) = 4x³ + x² - 20x - 5
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsExpand by FOIL (First Outside Inside Last)Step-by-step explanation:
Step 1: Define
f(x) = 4x + 1
g(x) = x² - 5
(f · g)(x) is f(x)g(x)
Step 2: Find (f · g)(x)
Substitute: (f · g)(x) = (4x + 1)(x² - 5)Expand [FOIL]: (f · g)(x) = 4x³ - 20x + x² - 5Combine like terms: (f · g)(x) = 4x³ + x² - 20x - 5We know that,
[tex] \Large \underline{\boxed{\sf{ (f . g)(x) = f(x) \times g(x) }}}[/tex]
By substituting values :
[tex] \sf : \implies (f . g)(x) = (4x+1) \times (x^{2} -5)[/tex]
[tex] \sf : \implies (f . g)(x) = 4x(x^{2} -5) +1(x^{2} -5)[/tex]
[tex] \sf : \implies (f . g)(x) = 4x^{3} - 20x + x^{2} -5[/tex]
[tex] \sf : \implies (f . g)(x) = 4x^{3} + x^{2} - 20x -5[/tex]
Hence, answer is :
[tex]\underline{\boxed{\sf{(f . g)(x) = 4x^{3} + x^{2} - 20x - 5}}}[/tex]
Which equation represents the line that passes through the points (–3, 7) and (9, –1)? y = negative two-thirds x + 5 y = negative two-thirds x minus 7 y = two-thirds x minus 7 y = two-thirds x + 5 Mark this and return
Answers
Answer:
y equals, 2 x minus 5 in the x y-plane is a line with slope 2 and a y-intercept
Step-by-step explanation:
Answer:
y=2/3+5
Step-by-step explanation:D
please help!! due in 5 mins
Answers
WILL GIVE BRAINLIEST a card is picked from the following card find the probability that the card drawn is purple
Answers
Answer: 2/7
Step-by-step explanation: if there are 7 cards and two of them are purple, we can show this as 2/7
simplify and answer
step by step
Answers
See attachment for math work. I did number 3 only.
Can someone help me with this question? Will give brainliest :) (valid answers only or you’ll be reported)
Answers
Answer:
...
Step-by-step explanation:
which is not true about the solution to the equation? x+2.27=1.53
Answers
Answer:
x = - 0.74
Step-by-step explanation:
5•11+5•(-4)=5(11-4) wich property?
Answers
Answer:
Step-by-step explanation:
55
WILL GIVE BRAINLIEST
Answers
Answer:
(6x - 1) • (2x + 9)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
((22•3x2) + 52x) - 9
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 12x2+52x-9
The first term is, 12x2 its coefficient is 12 .
The middle term is, +52x its coefficient is 52 .
The last term, "the constant", is -9
Step-1 : Multiply the coefficient of the first term by the constant 12 • -9 = -108
Step-2 : Find two factors of -108 whose sum equals the coefficient of the middle term, which is 52 .
-108 + 1 = -107
-54 + 2 = -52
-36 + 3 = -33
-27 + 4 = -23
-18 + 6 = -12
-12 + 9 = -3
-9 + 12 = 3
-6 + 18 = 12
-4 + 27 = 23
-3 + 36 = 33
-2 + 54 = 52 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and 54
12x2 - 2x + 54x - 9
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (6x-1)
Add up the last 2 terms, pulling out common factors :
9 • (6x-1)
Step-5 : Add up the four terms of step 4 :
(2x+9) • (6x-1)
Which is the desired factorization
HOPE IT HELPS! :))
Can y'all please solve this.....will give brainliest ^_^
Answers
x=6,004/5.019=1.196
x=1.2
y=3.999/9.241=0.432=0.43
Answer:
1.20.43Step-by-step explanation:
[tex]x = \frac{\sqrt{36.05} }{5.019} \\ \\\sqrt{36.05}=6.00416\dots \\\\=\frac{6.00416\dots }{5.019}\\\\\mathrm{Divide\:the\:numbers:}\:\frac{6.00416\dots }{5.019}=1.19628\dots \\\\=1.19628\dots \\\\= 1.2[/tex]
[tex]y = \frac{\sqrt[3]{63.71}}{(3.04)^2} \\\\3.04^2=9.2416\\\\=\frac{\sqrt[3]{63.71}}{9.2416}\\\\\sqrt[3]{63.71}=3.99394\dots \\\\=\frac{3.99394\dots }{9.2416}\\\\\mathrm{Divide\:the\:numbers:}\:\frac{3.99394\dots }{9.2416}\\=0.43217\dots \\\\= 0.43[/tex]
