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Alik [6]
3 years ago
8

What is the length of the hypotenuse of the triangle below?

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
4 0

Answer:

D

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square oh the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

h² = (9\sqrt{2} )² + (9\sqrt{2} )² = 162 + 162 = 324 ( take the square root of both sides )

h = \sqrt{324} = 18 → D

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AB is parallel to CD,<br> a) Find the value of angle x.<br> b) work out the value of angle y.
anastassius [24]

Answer:

x=69°  y=69°

Step-by-step explanation:

Angle x is an alternate angle so it is equal to the angle above it (69)

Angle y is in a co-interior angle so you do the equation 180-111 which equals 69°

4 0
3 years ago
Marion bought 14 packages of plastic frog and lizard fishing lures. She bought frog lures in packages of 4 and lizard lures in p
tatuchka [14]

Answer:

Marion bought 6  frog lures and 8 lizard fishing lures.

Step-by-step explanation:

Let f represent frog lures and l represent lizard lures.


The total packages Marion bought is

f+l=14...eqn1


If she bought frog lures in packages of 4 and lizard lures in packages of 6 for a total of 72 lures, then

4f+6l=72...eqn2


We make f the subject in equation 1 and put it into equation 2 to get;

f=14-l...eqn3


We put equation 3 into equation 2 to get;

4(14-l)+6l=72


\Righttarrow 2(14-l)+3l=36


We expand the bracket to get;

28-2l+3l=36


-2l+3l=36-28


l=8


We put l=8 into equation 3 to get;

f=14-8


f=6

Therefore Marion bought 6  frog lures and 8 lizard fishing lures.


6 0
2 years ago
How many dots are in the 4th step?
Mkey [24]

Answer:

32

Step-by-step explanation:

if you look at the diagram the dot goes up 1 each. It also makes another row which makes 4 rows total. Since 3 contains 7 dots and 3 rows we would do 8 in 4 rows. 8 x 4 is 32.

Hope this helped!

7 0
2 years ago
Read 2 more answers
Which of these is an example of a continuous random variable?
dalvyx [7]
B.Number of eye blinks in a minute.
We do not have a set amount of blinks per minute.
A.Inccorect,a touchdown is 6 points
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D.Dogs get placed in a kennel and have a set ammount.
4 0
3 years ago
(True or False) The Long Division symbol is the same as the Radical (Root) symbol?
Dmitriy789 [7]

Answer:

false

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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