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Anvisha [2.4K]
3 years ago
9

GIVEN: LJ || WK || AP, PL || AG.

Mathematics
1 answer:
galina1969 [7]3 years ago
8 0

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

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Pls I need help with this
LiRa [457]

Answer:

third side = 4

Step-by-step explanation:

third side is hypoenuse as it is opposite to 90 degree.

using pythagoras theorem

(perpendicular)^2 + (base)^2 = (hypotenuse)^2

2^2 + (2\sqrt{3 )^2 = hypotenuse^2

4 + 4*3 = hypotenuse^2

16 = hypotenuse^2

\sqrt{16} = hypotenuse

4 = hypotensue

7 0
3 years ago
Staci is attending a music festival. The ticket to the festival costs $87.96 . Staci plans to purchase $30.00 t-shirts form the
d1i1m1o1n [39]

Answer:

3 t-shirts

Step-by-step explanation:

<u>Lets recap the information we will use from this problem:</u>

The ticket to the festival costs $87.96

T-shirts are $30.00

She is taking $200.00 to the festival

Now we can solve. First we will subtract the price of the ticket from the total amount of money she has.

$200.00 - $87.96 = $112.04

Now that she has payed for the ticket, we want to find out how many shirts she can buy with the remainder of her money. To find this, we will set up an equation like this:

(Amount of money left) ÷ (Cost of 1 t-shirt) = (How many t-shirts she can buy)

Insert your numbers: $112.04 ÷ $30.00 = 3.73466666667

Because she cant buy a fraction of a t-shirt, we ignore the decimals on the end of this number. Therefore, Staci can purchase 3 t-shirts.

5 0
3 years ago
Select the correct answer.
Tomtit [17]

Answer:

B

Step-by-step explanation:

7 0
3 years ago
To raise money for new uniforms, the band boosters sell t-shirts and hats. The cost and sale price of each item is shown. The bo
Mila [183]
Found the problem:
Item     Cost       Sales Price
T-shirt    6                10
hats       4                  7

Let x = t-shirts, y = hats

6x + 4y = 2,000
10x + 7y = 3,375

4y = 2000 - 6x
y = 2000/4 - 6x/4
y = 500 - 3x/2

10x + 7y = 3,375
10x + 7(500 - 3x/2) = 3,375
10x + 3500 - 21x/2 = 3,375
10x - 10.5x = 3,375 - 3500
-0.5x =  -125
-0.5x / -0.5 = -125/-0.5
x = 250 shirts

They will need 250 shirts.
5 0
3 years ago
FIRST ANSWER GET BRAINLEST
liraira [26]

Let's call x the price of a box of slime.

Gianna spent 4 × $58 for art supplies so 4(58) + 8x all together.  We have

392 ≤  4(58) + 8x ≤ 472

We can work with both inequalities at once.  4(58)=232 so we subtract that from all three sides.

160 ≤ 8x ≤ 240

Divide all three sides by 8, a positive number so the inequalities don't flip.

20 ≤ x ≤ 30

Answer: Least: $20, Most: $30


5 0
4 years ago
Read 2 more answers
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