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3 years ago

Translate figure A8 units to the left to form figure A’.

Mathematics

1 answer:

aleksklad [387]3 years ago

6 0

Answer:

A' across the x-axds to form figure A".

Draw figures A' and A". Is figure A congruent to figure A?

How do you know?

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The shorter leg of a right triangle is 7cm shorter than the longer leg. The hypotenuse is 7cm longer then the linger leg. What i

Gelneren [198K]

The shorter leg is 21cm, longer leg is 28 cm and hypotenuse is 35cm.

Step-by-step explanation:

Let,

The longer leg = x

The shorter leg = x-7

Hypotenuse = x+7

Using Pythagoras theorem;

$a^2+b^2=c^2\\(x-7)^2+(x)^2=(x+7)^2\\x^2-14x+49+x^2=x^2+14x+49\\2x^2-14x+49-x^2-14x-49=0\\x^2-28x=0\\x(x-28)=0\\$

Either,

x= 0

Or,

x-28=0 =>x=28

As length cannot be zero, therefore,

Longer side = 28cm

Shorter side = x-7 = 28-7 = 21cm

Hypotenuse = x+7 = 28+7 = 35cm

The shorter leg is 21cm, longer leg is 28 cm and hypotenuse is 35cm.

Keywords: triangle, pythagoras theorem

Learn more about triangles at:

#LearnwithBrainly

5 0

3 years ago

The product of x and 9 equals 45

adell [148]

Answer:

Step-by-step explanation:

because ?*9=45

45÷9=5

4 0

3 years ago

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Luis put out

solniwko [45]

Answer:

2 1/4 pies

Step-by-step explanation:

Find out how much pie was leftover from each pie:

Apple pie: 3/4, 4 - 3 = 1, 1/4

Blackberry: 1/2, 2 - 1 = 1, 1/2

Blueberry: 1/8, 8 - 1 = 7, 7/8

Cherry: 5/8, 8 - 5 = 3, 3/8

Peach: 3/4, 4 - 3 = 1, 1/4

There are 1/4, 1/2, 7/8, 3/8, and 1/4 pies left. The LCD if these numbers is 8, since 2*4 = 8, 4*2 = 8, and 8*1 = 8

1/4 = 2/8

1/2 = 4/8

7/8 = 7/8

3/8 = 3/8

1/4 = 2/8

2 + 4 + 7 + 3 + 2 = 18, so 18/8 pies, or 2 2/8, or 2 1/4

5 0

3 years ago

Read 2 more answers

Please help me!!!!!!

goldfiish [28.3K]

Answer:

False, there are no solutions

Step-by-step explanation:

y = 2x+4

y = 2x+10

The slopes are the same (2) but the y intercepts are different

These lines are parallel with different intercepts

They will never intersect so there are no solutions

3 0

3 years ago

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The table below lists the masses and volumes of several pieces of the same type of metal. There is a proportional relationship b

castortr0y [4]

∵ There is a proportional relationship between the mass and the volume of the places of metal.
Let volume = v and mass = m
So, the relation between volume and mass will take the form:
 v = km
where k is constant and can be calculated as follow:
when m = 34.932 , and v = 4.1 ⇒⇒⇒ k = v/m = 0.117371
when m = 47.712 , and v = 5.6 ⇒⇒⇒ k = v/m = 0.117371
when m = 61.344 , and v = 7.2 ⇒⇒⇒ k = v/m = 0.117371
when m = 99.684 , and v = 11.7 ⇒⇒⇒ k = v/m = 0.117371

∴ v = 0.117371 m

For v =15.3
∴ m = v/k = 15.3/0.117371 = 130.356 gram

The mass of a piece of this metal that has a volume of 15.3 cubic centimeters ≈ 130.4 gram (round to the nearest tenth)

3 0

3 years ago

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