Determine which postulate or theorem can be used to prove that ASEA = A PEN E O A. ASA OB. SSS O C. AAS O D. SAS
Answers
Answer:
asa is the correct answer
The postulate or theorem can be used to prove that triangles are congruent is ASA rule.
What are congruent triangles?Two triangles are said to be congruent when they have congruent corresponding parts.
Given is a figure having two triangles, we need to find the rule, that can prove that both the triangles are congruent,
∠ S ≅ ∠ P [given]
∠ SEA ≅ ∠ PEN [vertically opposite angles]
SE ≅ EP [given]
∴ Δ SEA ≅ Δ PEN by ASA rule
ASA rule :-
If any two angles and the side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent by ASA rule.
Hence, the postulate or theorem can be used to prove that triangles are congruent is ASA rule.
Learn more about congruent triangles click;
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Related Questions
The product two consecutive odd numbers is 63find the number
Answers
Answer:
These results, 7 and 9, have a product of 63, as stated.
Step-by-step explanation:
Represent the first odd number by x and the first consecutive odd number by x + 2. Then the product of these two numbers is x(x + 2) and it equals 63.
Solve for x. Perform the indicated multiplication, obtaining
x^2 + 2x - 63 = 0
Solve this by factoring: (x + 9)(x - 7) = 0
Then x could be either -9 or +7. If we let x = 7 then the first consecutive odd number is 7 + 2, or 9. These results, 7 and 9, have a product of 63, as stated.
Find the measures of the interior angles of the triangle,
Answers
Answer:
Angle B = 88
Angle C = 44
Step-by-step explanation:
X+48+(X-44)=180
Subtract 48 from both sides
X+48-48+(x-44)=180-48
X+(x-44)=132
2x-44+44=132+44
2x= 176
X=88
Angle A=48
Angle B =88
Angle C=44
(88-44)
88+44+48=180
Answer:
∠A = 48°
∠B = 48°
∠C = 84°
Explanation:
For C, it is parallel to A, so it would be the same sized angle. For context, all angles of a triangle add up to 180°, so you do; ∠A + ∠C and get 96°
Then you do, 180° - 96° to get 84°
So ∠C would be 84°
Ashley is bagging 32 pumpkin mut
some friends. Each bag will hold only one type of muffin.
will number
of muffins she can put in each bag? How many bags of each type
of muffin will there be?
Answers
Answer:
4 of each, 8 pumpkin bags, 7 banana bags
Step-by-step explanation:
4 is the GCF of 32 and 28.
Divide each number by 4
How do I solve this please look for the x and then the y
Answers
Answer:
x + y = 75
Step-by-step explanation:
2x - 5 and 75 are adjacent angles on a straight line and sum to 180° , that is
2x - 5 + 75 = 180
2x + 70 = 180 ( subtract 70 from both sides )
2x = 110 ( divide both sides by 2 )
x = 55
Then
2x - 5 = 2(55) - 5 = 110 - 5 = 105
2x - 5 and 4y + 25 are vertically opposite angles and are congruent, so
4y + 25 = 105 ( subtract 25 from both sides )
4y = 80 ( divide both sides by 4 )
y = 20
Then x + y = 55 + 20 = 75
the average score of the five tests was 83. The first 4 scores were 91, 78, 86, 72. What was the score of the 5th test. Thank you so much!
Answers
Answer:
88
Step-by-step explanation:
is the equation in the picture true or false?
Answers
Answer:
false
Step-by-step explanation:
I hope this helps!!
. A circulating pump consumes 450 W for 24 hr a day. a. Determine the energy consumed for a one-year period. b. Calculate the utility energy charges for this period at a rate of $0.12/kWh. c. Determine the energy saved for a one-year period, if the pump is switched off 8 hr a day. d. Calculate the energy cost savings for this period at a rate of $0.12/kWh, if the pump is switched off 8 hr a day.
Answers
Answer:
a. 3942 kWh
b. $473.04
c. 1314 kWh
d. $157.68
Step-by-step explanation:
a.There are 1000 W in 1 kW, so 450 W = 0.450 kW. The energy used per day is ...
(0.45 kW)(24 h) = 10.8 kWh . . . . energy per day
Then in a 365-day year, the energy used is
(365 da/yr)(10.8 kWh/da) = 3942 kWh/yr
__
b.At the rate of $0.12/kWh, the cost of running the pump is ...
($0.12/kWh)(3942 kWh/yr) = $473.04/yr
__
c.Switching the pump off for 1/3 of the time will save 1/3 of the energy found in part (a):
1/3(3942 kWh) = 1314 kWh . . . . energy saved by switching off the pump
__
d.The savings will be 1/3 of the cost of running the pump full time:
1/3($473.04/yr) = $157.68/yr
How do you know 72/80 is greater than 7/8? Explain
Answers
Answer:
Step-by-step explanation: I know that 72/80 is greater than 7/8 because when we make 7/8 as the same denominator as of 72/80 it is only 70/80 which is smaller than 72/80.
please help me quickly
Answers
Answer:
D
when you look at it it is upside down so d is the right answer
Ben worked 5 hours at x dollars per hour. Julie worked 8 hours
and earned twice as much as Ben per hour. Phil worked 10
hours and earned 4 dollars an hour less than Julie. Choose the
expression that is correctly simplified and best represents
their total wages.
A. 31x - 4
B. 31x – 40
C. 41x - 10
D. 41x -40
Answers
Explanation:
Ben : 5 • x = 5x
Julie: 8 • 2x = 16x
Phil: 10 • (2x - 4) = 20x - 40
Add them all together:
5x + 16x + 20x - 40
= 41x - 40
A gardener has a flower pot that he wants to fill with dirt. The flower pot has a radius of 8 cm at its opening and a radius of 7 cm at its base. The flower pot has a height of 10 cm.
Part A:
Provide an estimate for the amount of dirt, in cubic centimeters, that the gardener will need to completely fill the flower pot.
Part B:
Explain how you determined your answer.
Answers
Part A: The approximate volume of the frustum is [tex]1769cm^3[/tex].
Part B: How the answer was determined was to view the flower pot as a frustum of a cone, and apply the formula in calculating the volume of the flower-pot.
The flower pot has the shape of a conical frustum (See the attached image). The volume of the frustum is given by
[tex]F = \frac{\pi y}{3}(R^2+Rr+r^2)[/tex]
where
[tex]y=\text{height of the frustum}=H-h=10cm\\R=\text{radius of larger cone}=8cm\\r=\text{radius of smaller cone}=7cm[/tex]
substituting the values of [tex]y[/tex], [tex]R[/tex] and [tex]r[/tex] into the frustum formula and using [tex]\pi\approx 3.14[/tex]
[tex]F = \frac{\pi y}{3}(R^2+Rr+r^2)\\\\=\frac{\pi\times 10 }{3}(8^2+8\times 7+7^2)\\\\=\frac{10\pi}{3}(64+56+49)\\\\=\frac{1690\pi}{3}\\\\\approx 1769cm^3[/tex]
the approximate volume of the frustum is [tex]1769cm^3[/tex]
Learn more about the volume of a frustum here: https://brainly.com/question/14177094
5) If 5 times a number is increased by 4, the result is at least 19. Find the least possible
number that satisfies these conditions.
Answers
Answer:3
Step-by-step explanation:
5x3=15
15+4=19
find the volume of this prism
Answers
Answer:
264 cm³
Step-by-step explanation:
Is 1 1/30 more or less then 1 1/2 gallons
Answers
Answer:
less
Step-by-step explanation:
What is greater 7 or -7
Answers
Hello there!
7 is greater than -7, because positive numbers are always greater than negative ones.
a>-a
The > sign means "greater than"
Hope it helps.
~A lonely teen who helps others with a smile
-Grace :-)
Good luck.
I need help with this math help please!
Answers
Answer: R= 7
Step-by-step explanation:
Answer:
[tex]\huge\boxed{\sf t = 7}[/tex]
Step-by-step explanation:
-8 (4 - t) = 24
-32 + 8t = 24
Add 32 to both sides
8t = 24 + 32
8t = 56
Divide both sides by 8
t = 7
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807[tex]\sqrt{\frac{15}{6} }[/tex]
Simplify, and show work please :D
Answers
Hello! :p
Simply 15/6 to 5/2 = [tex]\sqrt{5/2}[/tex]
2. Simply again [tex]\sqrt{5} \\\sqrt{2}[/tex]
3. rationalize the denominator so 5/2 times 2/2 [tex]\sqrt{5} \sqrt{2} \\ ---\\2[/tex]
4. Simply [tex]\sqrt{5} \sqrt{2}[/tex] to [tex]\sqrt{10}[/tex]
answer: [tex]\sqrt{\frac{10}{2} }[/tex]
Hope this helps! Have a wonderful day1 :)
Sorry, I had a hard time finding all the symbols, so I had to get creative!
: If 10 less than 5 times a number is two more than 3 times the number, then the number is
Answers
Answer:
x = 1Step-by-step explanation:
If 10 less than 5 times a number is two more than 3 times the number, then the number is
10 - 5x = 2 + 3x
10 - 2 - 5x - 3x = 0
8 - 8x = 0
x = 1
---------------
check
10 - 5 * 1 = 2 + 3 * 1
5 = 5
the answer is good
1)
If X= ( 8° - 7n - 1 : n € N )
And
Y = ( 49 ( n - 1 ) : n € N ) then ??
Notes :-
•Don't spam
•Need Genuine Answer
•Don't give copied answer from web .
Answers
Answer:
[tex]to \: know \: the \: answer \: [/tex]
[tex]refer \: to \: the \: above \: attatchment[/tex]
Hope this helps you XD ✌️Carry on learning !!I would appreciate it if you can help me with this.
Answers
Answer:
[tex]450000 \leqslant 15000 + 4t[/tex]
help!! due tommorrow
Answers
Answer:
a and d
Step-by-step explanation:
these simplify to .77 for A and .81 for B
Write an expression that is equivalent to -3(2x+5)-3x+6
Answers
Answer:
-9x - 9
Step-by-step explanation:
Combine like terms.
-3 • 2x= -6x. -3 • 5= -15
-6x - 15 - 3x+ 6
-9x - 9
A can contains 48 cups of fruit juice. How many gallons of fruit juice does the can contain?
Answers
Answer:
3
Step-by-step explanation:
Can i have help with these two problems.
Answers
Answer:
(11/7)x + (3/7)y
Step-by-step explanation:
Perform the indicated multiiplication. We get:
(6/7)x - (2/5)y + (5/7)y + (5/7)x
Now combine like terms, obtaining: (11/7)x + (3/7)y
An alternative expression would be (1/7)(11x + 3y)
Eugene is purchasing clothing to make different outfits. Each outfit consists of a top, a bottom and a pair of shoes. Eugene found 2 pairs of shoes and 4 bottoms he would like to purchase. What is the minimum number of tops Eugene needs to purchase to make at least 35 different outfits? Express your answer as a whole number.
Answers
Answer:
70
Step-by-step explanation:
If the sales tax in a town is 5% and Amanda pays $10 in tax on her purchase what was the cost of the item?
Answers
Answer:
$200
Step-by-step explanation:
If the tax is 5%, then she pays $5 for every $100. If she paid $10 in tax, her purchase was $200.
N/2-11<-7 solve the 2 step inequality
Answers
Answer:
N<6
Step-by-step explanation:
Add 11 to both sides then multiply by 2
The original price of a camera was 7200.00. I
was given a discount of 36%. How much did I pay for
the camera?
Answers
Answer:
$4,608.00
Step-by-step explanation:
Subtract 36% from 7,200 and you get 4,608.
Can someone please guide me step by step to sum the answer of the equation 5x(6)-10 ?
Answers
Answer:
30x-10
Step by Step Work:
5x(6)-10
Because 5 x 6= 30, it becomes
30x-10
Since 30x and 10 have different terms, you can not simplify any further.
So you get your answer, which is 30x-10.
Answer
30x-10
Step by Step Work:
5x(6)-10
Because 5 x 6= 30, it becomes
30x-10
Since 30x and 10 have different terms, you can not simplify any further.
So you get your answer, which is 30x-10.
helpp :(
Habib rides his bike to school. This describes his trip:
A. Rides toward school
B. Stops to wait for a friend
C. Rides the rest of the way to school
Drag one segment to each box to show the shape of the graph of Habib's distance from home for each interval of time.
Answers
Answer:
see
Step-by-step explanation: