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Elza [17]
4 years ago
12

Please help me solve this???

Mathematics
1 answer:
JulijaS [17]4 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

For the triangles to be congruent.

The hypotenuse and a leg of the triangle on the left and the hypotenuse and a leg of the triangle on the right must be congruent, thus

4y = x + 4 → (1)

x = y + 8 → (2)

Substitute x = y + 8 into (1)

4y = y + 8 + 4 = y + 12 ( subtract y from both sides )

3y = 12 ( divide both sides by 3 ) )

y = 4

Substitute y = 4 into (2)

x = 4 + 8 = 12

Thus

x = 12 and y = 4

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Emily spent £2400 on holiday in 2017.
LekaFEV [45]

Answer:

£1920

Step-by-step explanation:

The amount she spent in 2016 is 20% less than 2017. 20% less than is the same as 80% of the amount she spent in 2017. So, to find how much she spent in 2016, multiply 2400 by 0.80 (the decimal form of 80%):

2400 * 0.8 = 1920

Emily spent £1920 on holiday in 2016.

I hope this helps :)

8 0
3 years ago
What is 5 tenths as a fraction and decimal
Naddik [55]

5 tenths as a fraction is 5/10 and 5 tenths as a decimal is 0.5

-<em>Rhear</em>

3 0
3 years ago
Read 2 more answers
2.
Artemon [7]

Answer:

C

Step-by-step explanation:

8 0
3 years ago
What is the Slope of the line passing through the points (0,4) and (-8, -1
Contact [7]
Slope = (y2 - y1) / (x2 - x1)
(0,4)...x1 = 0 and y1 = 4
(-8,-1)...x2 = -8 and y2 = -1
now we sub and solve
slope = (-1 - 4) / (-8 - 0) = -5/-8 = 5/8 <=

3 0
3 years ago
Read 2 more answers
8
Alik [6]

Answer:

<em>123 pens in Box A</em>

Step-by-step explanation:

To solve this we will rewrite the word problem as an equation...

5x (A)

x (B)

When Teddy moves 82 pens from A to B, he is subtracting 82 pens from Box A and adding 82 pens to Box B...

5x - 82 (Change in Box A - subtraction)

x + 82 (Change in Box B - addition)

The problem now states that Box A and Box B are equal...

5x - 82 = x + 82

--- subtract x from both sides ---

4x - 82 = 82

--- add 82 to both sides ---

4x = 164

--- divide both sides by 4 ---

x = 41 pens

Now, we replace the x in the expression "5x - 82" with 41...

5(41) - 82 = 205 - 82

205 - 82 = 123

123 pens in Box A

Hope this Helps!

3 0
2 years ago
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