Given that QRST is a kite and that ST = TQ, find ST.

What is the answer to the question and how do you answer this?

chubhunter [2.5K]

Answer:

∠FDN ≅ ∠HKJ

Step-by-step explanation:

G and H are parallel lines and J is the transversal.

∠FDN is corresponding angle with ∠HKJ.

The corresponding angles postulate states that, when two parallel lines are cut by a transversal, the resulting corresponding angles are congruent.

∠FDN ≅ ∠HKJ

8 0

2 years ago

Simplify the expression. <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B4%5E%7B2%7D%20%7D%7B4%5E5%7D%20%7D%20" id="TexFormul

Illusion [34]

$4^{2-5} = 4^{-3} = \frac{1}{ 4^{3} }$

8 0

3 years ago

Read 2 more answers

For a class picnic two teachers went to the same store to purchase drinks one teacher purchased 18 juice boxes and 32 bottles of

makkiz [27]

Cost of each juice boxes is $ 0.68 and cost of each water bottle is $ 0.24

Solution:

Let "j" be the cost of each juice box

Let "w" be the cost of each bottles of water

One teacher purchased 18 juice boxes and 32 bottles of water and spent $19.92

Therefore, we frame a equation as:

18 x cost of each juice box + 32 x cost of each bottles of water = 19.92

$18 \times j + 32 \times w = 19.92$

18j + 32w = 19.92 ------ eqn 1

The other teacher Purchased 14 Juice Boxes and 26 Boxes of water and spent $15.76

Therefore, we frame a equation as:

14 x cost of each juice box + 26 x cost of each bottles of water = 15.76

$14 \times j + 26 \times w = 15.76$

14j + 26w = 15.76 ----------- eqn 2

Let us solve eqn 1 and eqn 2

Multiply eqn 1 by 7

126j + 224w = 139.44 -------- eqn 3

Multiply eqn 2 by 9

126j + 234w = 141.84 ---------- eqn 4

Subtract eqn 3 from eqn 4

126j + 234w = 141.84

126j + 224w = 139.44

( - ) --------------------

10w = 2.4

Divide both sides by 10

w = 0.24

Substitute w = 0.24 in eqn 1

18j + 32(0.24) = 19.92

18j + 7.68 = 19.92

18j = 12.24

Divide both sides by 18

j = 0.68

Thus cost of each juice boxes is $ 0.68 and cost of each water bottle is $ 0.24

3 0

3 years ago

Which choice shows 19 + 32 + 11 rewritten correctly using the commutative property and then simplified correctly?

Nookie1986 [14]

The choice shows 19 + 32 + 11 rewritten correctly using the commutative property and then simplified correctly is option B; 19+11+32= 30+32 = 62.

<h3>What is the commutative property of addition?</h3>

The commutative property of addition says that it doesn't matter how we add two numbers, the result of the addition would be same.

For two numbers x and y, we have:

x + y = y + x

WE have given

19 + 32 + 11

The sum would be 62.

We know that by commutative property of addition,

For two numbers x and y,

x + y = y + x

Thus, if we take 3 numbers as a,b and c, then:

c + a + b = c + b + a

Similarly,

19 + 32 + 11 = 19+11+32

= 30+32

= 62

Therefore, the option B is the correct answer.

Learn more about properties of addition here:

brainly.com/question/1709448

#SPJ1

6 0

2 years ago

Solve the following equation and then check your solution. Show all of your work. -17 + 7 = 33

Luda [366]

Answer:

thats a false equation

5 0

3 years ago

Read 2 more answers