GIVEN: LJ || WK || AP, PL || AG.
PROVE: Angle 1 is congruent to angle 2
#12 pleaseee
20 points!!
Answers
Answer:
∠1 ≅ ∠2 ⇒ proved down
Step-by-step explanation:
#12
In the given figure
∵ LJ // WK
∵ LP is a transversal
∵ ∠1 and ∠KWP are corresponding angles
∵ The corresponding angles are equal in measures
∴ m∠1 = m∠KWP
∴ ∠1 ≅ ∠KWP ⇒ (1)
∵ WK // AP
∵ WP is a transversal
∵ ∠KWP and ∠WPA are interior alternate angles
∵ The interior alternate angles are equal in measures
∴ m∠KWP = m∠WPA
∴ ∠KWP ≅ ∠WPA ⇒ (2)
→ From (1) and (2)
∵ ∠1 and ∠WPA are congruent to ∠KWP
∴ ∠1 and ∠WPA are congruent
∴ ∠1 ≅ ∠WPA ⇒ (3)
∵ WP // AG
∵ AP is a transversal
∵ ∠WPA and ∠2 are interior alternate angles
∵ The interior alternate angles are equal in measures
∴ m∠WPA = m∠2
∴ ∠WPA ≅ ∠2 ⇒ (4)
→ From (3) and (4)
∵ ∠1 and ∠2 are congruent to ∠WPA
∴ ∠1 and ∠2 are congruent
∴ ∠1 ≅ ∠2 ⇒ proved
Related Questions
HELP ASAPPPP!!!!!!!!!!!!!!!!!!
Answers
Examine the following table of points, which are all on a certain line.
x y
−2 4
0 2
1 1
3 −1
What is the slope of this line?
Enter your answer as a number, like this: 42
Or, if the slope is undefined, enter a lowercase letter "u," like this: u
Answers
9514 1404 393
Answer:
-1
Step-by-step explanation:
The slope formula is useful:
m = (y2 -y1)/(x2 -x1)
m = (2 -4)/(0 -(-2)) = -2/2 = -1
The slope of this line is -1.
_____
The points on the line drop 1 unit for each 1 unit to the right.
m = rise/run = -1/1 = -1
Maria got 50% of the questions correct on her science test. If she got 32 questions correct, how
many questions were on the exam?
Answers
Answer:
64
Step-by-step explanation:
:)
Answer:
64 Questions
Step-by-step explanation
50% x 2 = 100%
32 x 2 = 64
A frame is marked down by 22% from an original price of 14.50 what is the new price
Answers
Answer:
$11.31
Step-by-step explanation:
100-22 = 78
14.50 x .78 = 11.31
Each morning, Stacey makes 20 cinnamon bagels for his customers at Barney's Bagels. Because of a recent increase in the popularity of cinnamon bagels, she has increased the number she bakes each morning by 80%. How many cinnamon bagels does Stacey now bake each day?
Answers
Answer: Stacey now bakes 36 cinnamon bagels.
Step-by-step explanation:
Given: Each morning, Stacey makes 20 cinnamon bagels.
She has increased the number she bakes each morning by 80%.
Number of cinnamon bagels Stacey bake = 20+80% of 20
= 20+ (0.80)x 20 [To remove % , divide number by 100, So 80%=0.08]
= 20+16 [(0.80)x 20=16 ]
= 36
Hence, Stacey now bakes 36 cinnamon bagels.
D How much money would Ashley have If she
saved for 7 weeks?
Answers
Answer: Well it does depend on how much she gets per week, but whatever the amount she gets per week just times the number she gets per week by 7 and you should get the right answer.
Please help me really quick! :DD
Answers
Answer:
Correct equation: 4b^2 -b-138= 0
Solution: 6 meters
Step-by-step explanation:
The base has to be 6, and that’s the equation that works with that number.
HELPPP FASTTT PLEASEEEEEEEEEE
Answers
Angle k is 110 degrees because the two sides are equal, their angles are equal. So you have 35+35=70. Angles of triangle add to 180, so subtract 70 from 180 to get 110.
PLEASE HELP ME please!
Answers
Answer:
x < -1
so its C
Step-by-step explanation:
Can someone help me with this question it’s 7.55 x 4.5
Answers
Answer:
33.975
Step-by-step explanation:
the sum of six consecutive positive integers is 2013,which is the largest of these
Answers
Answer:
67
Step-by-step explanation:
idonfthsjbwjsnsksmksns
Which of these could you represent with a ratio? A how many diet sodas there are in the fridge compared to how many regular sodas B the average age of writers for a newspaper C the maximum number of people that can fit inside an elevator D how many square feet of carpet are needed to completely cover the floor
Answers
Answer:
a
Step-by-step explanation:
Write an equation of the line that passes through the given point and is
perpendicular to the given line.
Answers
Answer: how old r u lol
Step-by-step explanation:
Does anyone know how to do part b?
Answers
Answer:
No
’
Step-by-step explanation:
If John can paint half of a room in two-thirds of an hour, what part of the room can he paint in a full hour?
Answers
Answer:
0.75(3/4) part of the roomStep-by-step explanation:
Step one:
given data
we can express the given data mathematically as
John can paint 0.5room in 2/3 hours
let the part of the room he can paint in an hour be x
so
if he takes 2/3 hours to paint 0.5 room
then he will take 1 hour to paint x
cross multiply we have
x= 0.5/2/3
x=0.5*3/2
x= 1.5/2
x=0.75 part of the room
75/100= 15/20=3/4 part
I need help on homework plz help.
Answers
Answer:
Same
Step-by-step explanation:
Of the positive integers between 1000 and 10 000 that are divisible by 8, how many have a hundreds digit of 5?
Answers
Answer:
108
Step-by-step explanation:
Kimani had $365 to spend for Christmas. He decided to spend the same amount of money on each of his 14 family members. How much money will he spend on each family m
Answers
answer is 26 then he'll have 1 dollar leftover
An airline knows that 9 out 50 passengers who book a flight do not show up. If 300 people booked a flight , how many will not show up?
A) 45 passengers
B) 54 passengers
C) 100 passengers
D) 27 passengers
Answers
Answer:
300 divided by 50 is 6. 6 x 9 is 54. your answer is B)54
Step-by-step explanation:
The exponential function g, whose graph is given below, can be written as g(x)=a*b^x
Complete the equation for g(x)
PLEASE HELP!!!!
Answers
Answer:
g(x) = [tex]9(\frac{1}{3})^x[/tex]
Step-by-step explanation:
Exponential function 'g' that can be written as g(x) = a.bˣ
From the graph attached,
Graph of the function passes through two points (0, 9) and (1, 3)
g(0) = a.b⁰
9 = a
Similarly, g(1) = a.b¹
3 = a.b
3 = 9(b)
b = [tex]\frac{3}{9}=\frac{1}{3}[/tex]
Therefore function will be,
g(x) = [tex]9(\frac{1}{3})^x[/tex]
The following table gives the mean scores for 4 different classes
on the same test.
Class A Class B Class C Class D
72% 82% 63% 78%
What is the combined average for classes A, B, C and D, if
class A has 30 students, class B has 22 students, class C has
35 students, and class D has 27 students?
A
73.8%
73.5%
B
72.6%
D = 71.9%
Answers
Answer:
a
Step-by-step explanation:
a
Robert has been riding his bike at a constant speed for the last 35 minutes. If Robert is traveling at a speed of 9 miles per hour, which equation best represents this relationship between the time in hours, t, and the distance in miles, d?
Answers
Answer:
A
Step-by-step explanation:
I looked it up
what is tan 30 degrees?
look at photo
i’ll give brainliest
Answers
Tonya drove 343 miles the first day of her trip. How many days will it take her to drive the remaining 1200 miles if she continues at the same rate?
Answers
Answer:
It would take Tonya about 3.5 days
Step-by-step explanation:
[tex]1/343 = .003[/tex]
[tex].003*1200=3.5[/tex]
Answer:
nmnbbmnvbmn
Step-by-step explanation:
,jhnjbghjnvfgbhfbvn
whats the area of the base?
Answers
Answer:
30
...................................................................................................................................................
What is the slope of the line perpendicular to the line represented by the equation y = 4x - 7? *
a)-1/4
b)-7
c) 4
d)-4
Answers
Answer: im kinda losing brain cells rn
Step-by-step explanation:
Answer:
Step-by-step explanation:
c
Alexandro received two quotes for new carpet for his home. The quote from Home Depot is $0.20 less per square foot than the quote from Lowe's. If Alexandro plans to buy 1,300 square feet of carpet, how do his total costs from the two companies compare? *
Answers
Answer:
Total cost as per Lowe's is $260 more than that of Home Depot.
Step-by-step explanation:
Given that:
Alexandro received two quotes for new carpet.
One from Home Depot and other from Lowe's.
Let quote from Home Depot = [tex]\$x[/tex] per sq foot
As per question statement,
The quote from Lowe's = [tex]\$x[/tex]+0.20 per sq foot
Alexandro plans to buy 1,300 square feet of carpet.
Total Cost as per Home Depot's quote = [tex]\$1300x[/tex]
Total Cost as per Lowe's = [tex]\$(x+0.20)\times 1300 = \$1300x + \$260[/tex]
Now taking the difference of the total cost:
Lowe's total cost - Total cost as per Home Depot.
[tex]\$1300x+\$260 - \$1300x \\\Rightarrow \$260[/tex]
So, the answer is:
Total cost as per Lowe's is $260 more than that of Home Depot.
Find the product
(4p + 6)( 7p -5)
Answers
Answer:
28p^2+22p-30
Step-by-step explanation:
I'm a genius
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Answers
Answer:
Your answer would be 16 - 7 = 9.
You can simply add the two numbers and it would still give you the same answer, but I decided to just look for the number.
Step-by-step explanation:
I hope this helped solve your question.
The ratio of red cars to blue cars in a parking lot was 5:3. If there were 40 red cars, how many blue cars were there?
Answers
Answer:
24
Step-by-step explanation:
you need to get The 5 in 5:3 to equal 40, so you multiply both sides in 5:3 by 8 and you're left with 40:24.