PLEASE HELP :))) triangle similarity theorem

4. ASAP I NEED HELP

vodomira [7]

Answer:

The value of x = 5 and y = 2.

Step-by-step explanation:

Here, given DECK is a parallelogram.

Also, KT = 2x + y , DT = x + 2y , TE = 12 and TC = 9

Now, in parallelogram:

DIAGONALS IN A PARALLELOGRAM BISECT EACH OTHER

Also, in the parallelogram DECK,

Sides DC and KE are two diagonals.

⇒ T is the mid point of AC and KE.

⇒ KT = TE and DT = TC ( as diagonals are bisected)

⇒ 2 x + y = 12 and x + 2y = 9

So here, the set of two equations are:

2 x + y = 12 ....... (1)

x + 2 y = 9 ....... (2)

Multiply (2) with -2 and add with (1), we get:

2 x + y - 2 x - 4 y = 12 - 18

or, - 3 y = - 6

or, y = 2

If y = 2, then x + 2 (2) = 9 or, x = 5

Hence the values of x = 5, y = 2

7 0

4 years ago

Simple easy problem pls help

Nastasia [14]

Hello!

To find the answer, you'll first need to find how many gears that can be made in a hour. You can do this by dividing 2088 by 8. Once you've done that, there will be 261 gears being made every hour. Now you'll need to multiply 261 by 9 to see how many gears will be made n 9 hours. Once you've done that, you'll have your answer.

In 9 hours, there are 2349 gears that are made

I hope this helps!

7 0

4 years ago

Please help with the top question !

My name is Ann [436]

9514 1404 393

Answer:

13.3 m

Step-by-step explanation:

Let d represent the length of the diagonal. Then the length of the rectangle is (d-2) and the width is (d-6). The area is the product of length and width, so is ...

A = LW

83 = (d -2)(d -6) = d² -8d +12

71 = d² -8d . . . . . . . . subtract 12 to get the constant out of the way

d² -8d +16 = 87 . . . . add (-8/2)² = 16 to both sides to complete the square

(d -4)² = 87 . . . . . . . write as a square

d -4 = √87 . . . . . . . positive square root

d = 4 +√87 ≈ 13.3 . . . . add 4

The diagonal is about 13.3 meters long.

_____

Additional comment

If you check to see if the side lengths actually correspond to those of a rectangle, you find that they do not. The geometry described here is impossible. The rectangle with the proposed relations between sides and diagonal would have a diagonal of about 12.899 m and an area of about 75.19 m².

6 0

3 years ago

Read 2 more answers

A building cast a shadow on the ground that makes an angle of elevation of 56° from the end

juin [17]

120*tan(56 degrees)= 177.90747697158408. That is the height of the building.
**
just draw a triangle if you don't understand

7 0

3 years ago

A deck of cards has 52 cards with 4 suits (Hearts, Diamonds, Spades, and Clubs) and 13 cards in each suit (Ace thru 10, Jack, Qu

MArishka [77]

Answer:

$\frac{3}{13}$