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
The ratio of North American butterflies to South American butterflies at a butterfly park is 6:2. What is the ratio of North American butterflies to ALL butterflies?
Answers
Answer:
6:8
Step-by-step explanation:
From the above question, we are told that:
The ratio of North American butterflies to South American butterflies at a butterfly park is 6:2.
The sum of the proportion = 6 + 2 = 8
The ratio of North American butterflies to ALL butterflies is given as :
6 : 8
Write an equation of the line with a slope of 3 and a y-intercept of -7.
Answers
Answer:
y=3x-7
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept
y=3x-7
Write an algebraic equation that relates the Profit to the Number of T-Shirts Sold. Use n to represent T-Shirts and p to represent the Profit.
Answers
Answer:
y= 3x -5
Step-by-step explanation:
since when x is 0, and y is -5, you know that the y intercept is -5.
look at the table
1x -5 = -2
x= 3
Boom.
LONG LIVE KOREA!
if f(x)= 6^2 and g(x)=3 +6(x). What is f(2)
Answers
Answer:
I,dont know but use M A T H W A Y it will explain with all the stepp by step and answere
Step-by-step explanation:
15 3/8+756-
What is the answer
Answers
Answer: 771 3/8
Step-by-step explanation:
15 3/8+756
we can apply the assosiative propery and do 15+756+3/8
so 15+756= 771
so finally you do 771+3/8=771 3/8
BRAINIST & 20 POINTS!!
Answers
Answer:
y=2/3x-5
Step-by-step explanation:
First, let's put this equation into slope-intercept form.
2x-3y=24
-3y=-2x+24
y=2/3x-8
For two lines to be parallel, they must have the same slope. Therefore our slope is 2/3.
Now, we must find b. To do that we can plug the y and the x in.
-7=2/3(-3)+b
-7=-2+b
-5=b
y=2/3x-5
Answer:
y = [tex]\frac{2}{3}[/tex]x - 5
Step-by-step explanation:
Points: (-3, -7)
Equation: 2x - 3y = 24
2x - 3y = 24
-3y = -2x + 24
y = [tex]\frac{2}{3}[/tex]x - 8
y = [tex]\frac{2}{3}[/tex]x + b
-7 = [tex]\frac{2}{3}[/tex] ( -3 ) + b
-7 = -2 + b
b = -5
y = [tex]\frac{2}{3}[/tex]x - 5
What are the area and perimeter of square TUVW?
Area=
Perimeter=
Answers
Answer:
Area: 196
Perimeter: 56
Step-by-step explanation:
1. Pick a side for both length and height and count the distance between the two coordinates (for example VU and UT)
VU = 14
UT= 14
Also important to note here that you don't even need to count the distance for both because since it's a square, all the sides are the same. Only did this to make it easier to understand the next step.
2. Since it's a square, as I said before, all sides are the same. So, you can go ahead and mark WT and VW as 14 as well.
3. To get the area, use the formula base times height.
14 x 14 = 196
4. For perimeter, simply add up all the sides (or multiply 14 by 4 since all are the same)
14+14+14+14=56
after allowing 30% discount on the marked price of an article,there is a profit of 10% . if the cost price is 1500 find the marked price
Answers
Answer:
2357.14
Step-by-step explanation:
x - .30x = 1500(1.10)
.7x = 1650
x = 2357.14
if 1 case of 500 20oz. cups cost 48.38 how much does one cup cost (show all work)
Answers
Answer:
Step-by-step explanation:
if 500 cups costs 48.38
than one cup will cost
48.38/500=0.096 cents per cup
Find the value of r so the line that passes through the pair of points (-4, 8) and (r, 12) has the slope 4/3
.
Answers
Answer:
-1
Step-by-step explanation:
4 / (4/3) gives us three, which when added to -4 results in -1
A family eats at a restaurant. The bill is $42. The family leaves a tip and spends $49.77.
How much was the tip in dollars?
How much was the tip as a percentage of the bill?
Round your answer to the nearest tenth.
Answers
Answer:
Step-by-step explanation:
How much was the tip in dollars? $7.77
How much was the tip as a percentage of the bill? 18.5%
WILL GIVE BRAINLIEST ! A marble is picked at random.Without putting the first marble back,a second marble is picked at random find the probability that the fist marble picked is green and the second marble is picked red write your result as a percentage
Answers
Step-by-step explanation:
The percentage is 1/2 * 2/5 = 1/5 = 20%.
The probability that the first marble picked is green, and the second marble is picked red is 20%
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur.
Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.
Given that, there are six marbles in total, 3 are green, 2 are red and one is brown,
we need to find the probability that the first marble picked is green, and the second marble is picked red,
So, P(E) = favorable outcome / total outcome
Therefore, the probability that the first marble picked is green, and the second marble is picked red = 3/6 x 2/5 = 6/30 = 1/5 = 20%
Hence, the probability that the first marble picked is green, and the second marble is picked red is 20%
Learn more about probability click;
https://brainly.com/question/30034780
#SPJ3
Coach Teague is making breakfast for his 6 family members. He is making bacon and omelets. Each omelet needs 3 eggs, how many eggs does he need?
Answers
Answer:
18 eggs
Step-by-step explanation:
6 family member has 1 omelet, each omelet needs 3 eggs, 6 x 3 = 18 eggs :D
Marco need to buy some dog food at the nearest store six bags of dog food cost $25.50 how much would Marcos bag of five bags of dog food
Answers
Answer:
Five bags of dog food costs $21.25.
Step-by-step explanation:
We can solve using proportions.
[tex] \frac{6 \: bags}{25.50 \: dollars} = \frac{5 \: bags}{x} \\ \\ \frac{127.5}{6} = \frac{6x}{6} \\ \\ 21.25 = x \\ 21.25 \: dollars = x[/tex]
Marie has 11 coins, all of which are quarters and nickels. In all, they're worth $1.15. How many of each kind of coin does Marie have?
Answers
Answer:
Step-by-step explanation:
x + y = 11
.25x + .05y = 1.15
25x + 5y = 115
-25x - 25y = -275
-20y = -160
y = 8 nickels
x + 8= 11
x = 3 quarters
3 quarters and 8 nickels
Simplify the ratio
30:42
• 5/7
•30/42
• 30 to 42
•7/5
Answers
what is x − 2 y − 2 = 0 in slope intercepct form?
Answers
Answer:
y=1/2x-1
Step-by-step explanation:
hope this helps
f(-2) =-2x+11
Evaluate the function
Answers
Happy Holidays!
[tex]\large\boxed{f(-2) = 15}[/tex]
f(x) = -2x + 11
Find f(-2) by substituting in -2 for x:
f(-2) = -2(-2) + 11
Simplify:
f(-2) = 4 + 11
f(-2) = 15
Hurry I need help help
Answers
Step-by-step explanation:
C. This system is consistent. It has one solution.
particularly in algebra, a linear or nonlinear system of equations is called consistent
HELP!! ASAP!!
Brody drew a scale drawing of a campsite. He used the scale 1 inch : 3 feet. If the actual width of the tent is 6 feet, how wide is the tent in the drawing?
Answers
Answer:
the drawing would be 2 inches
Step-by-step explanation:
A rectangular pool is 30 1/3 feet long and 12 1/2 feet wide. what is the area of the pool?
Note the 30 and 12 is a whole number
Answers
Answer:
381.25 or 381 1/4 feet
Step-by-step explanation:
Area is a rectangle is length times width. so,
30.5*12.5 = 381.25
If g(x) = 3(x − 2), find the value of x if g(x) = 6.
A. 12
B. 2.6
C. 8
D. 4
Answers
6 = 3x - 6
3x = 12, x = 4
Solution: D
Simplify Negative 3 over 2 ÷ 9 over 6 . (5 points) -4 -1 4 1
Answers
Answer:
Step-by-step explanation:
[tex]\frac{3}{2}[/tex] ÷ [tex]\frac{9}{6}[/tex] = [tex]\frac{3}{2}*\frac{6}{9}\\[/tex]
= [tex]\frac{18}{18}[/tex]
= 1
Use KCF method,
Keep the first number.
Change the division to multiplication
Flip the second number
Answer:
sorry dude i need thos points
Step-by-step explanation:
One third of a number T is equal to 12???
Answers
Answer:
1/3×t=12
t=3×12
t=36
Step-by-step explanation:
need thanks for the answer.
In a bag of keys, there are 14 silver keys, 7 black keys, 10 copper keys, and 4 painted keys of various colors. One key is drawn out
at random. What is the probability that the key that is drawn is silver or copper?
Answers
Answer:
D. 24/35
Step-by-step explanation:
Step one:
Given
Sample space
14 silver keys,
7 black keys,
10 copper keys, and
4 painted keys of various colors
Sample size= 14+7+10+4= 35
in probability "or" means that we need to add events.
Hence, the probability that the key that is drawn is silver
= 14/35
the probability that the key that is drawn is copper
=10/35
Step two:
The probability that the key that is drawn is silver or copper
14/35+10/35
=14+10/35
24/35
parallel ,perpendicular, neither y=4x+5 and -4x +y=-13
Answers
Answer:
here,
slope of line y=4x+5(m1)=-a/b
=4
slope of line -4x+y=-13(m2)=-a/b
4
here m1=m2 so,these are parallel to each other.
which mathematical property is shown here
8+-8=0
1 distributive property
2 inverse property
3 identity property of addition
Answers
13 erasers in your backpack is considered
a what?
Answers
Is this suppose to be a riddle or sum
The local high school is hosting the last soccer game. They charged adults, x, $5 to enter, and $3 for students, y. It cost the school $300 to pay the referees for the game. The school wants to make a profit on the game, and 75 people attended. This is represented by the system:
5x+3y>300
x+y=75
Which of the following points is a solution to the system?
a. (25,70)
b. (30,45)
c. (20,15)
d. (40,35)
Answers
Answer:
b.
Step-by-step explanation:
5*30+3*45>300
150+135
30+45=75
Answer:
B)
Step-by-step explanation:
30, 45
A store donated cases of crayons to a daycare center. Each case holds 24 boxes of crayons; each box holds 8 crayons. How many crayons did the center receive?
Answers
Answer:
192
Step-by-step explanation:
Just multiply 24 by 8.
I think thats it tho.
Answer:
I think its 192
Step-by-step explanation:
you just do 24 times 8