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Darina [25.2K]
3 years ago
15

Help me find the answer

Mathematics
1 answer:
rodikova [14]3 years ago
4 0

Answer:

Step-by-step explanation:

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In parallelogram DEFG, DH = x + 1, HF = 3y, G H = 3 x − 4 , and HE = 5y + 1. Find the values of x and y. The diagram is not draw
Nana76 [90]

Answer:

see explanation

Step-by-step explanation:

Using the property of parallelograms

• The diagonals bisect each other, hence

DH = HF and GH = HE

x + 1 = 3y and 3x - 4 = 5y + 1 ⇒ 3x = 5y + 5

Solving the 2 equations simultaneously

x + 1 = 3y → (1)

3x = 5y + 5 → (2)

rearrange (1) expressing x in terms of y

x = 3y - 1 → (3)

substitute x = 3y - 1 in (2)

3(3y - 1) = 5y + 5

9y - 3 = 5y + 5 ( subtract 5y from both sides )

4y - 3 = 5 ( add 3 to both sides )

4y = 8 ( divide both sides by 4 )

y = 2

substitute y = 2 into (3)

x = (3 × 2) - 1 = 6 - 1 = 5

Hence x = 5, y = 2



3 0
3 years ago
The perimeter of the triangle is 37 cm. The lengths of the triangle are 3x, 2(x+4) and 2x+1. What is the value of x?
enot [183]

Answer:

4

Step-by-step explanation:

3x + 2(x + 4) + 2x+1 = 37                    Remove the brackets.

3x + 2x + 8 + 2x + 1 = 37                   Collect like terms

7x + 9 = 37                                         Subtract 9 from both sides

7x + 9-9 = 37 - 9                                Combine

7x = 28                                               Divide by 7

7x / 7 = 28/7

x = 4  

5 0
3 years ago
A right triangle is shown.
jarptica [38.1K]

Answer:

Step-by-step explanation:

From the given right angle triangle,

The unknown side represents the hypotenuse of the right angle triangle.

With m∠x as the reference angle,

the adjacent side of the right angle triangle is 7.8

the opposite side of the right angle triangle is 8

To determine m∠x, we would apply

the Tangent trigonometric ratio.

Tan θ, = opposite side/adjacent side. Therefore,

Tan x = 8/7.8 = 1.026

x = Tan^-1(1.026)

x = 45.7° to the nearest tenth

3 0
3 years ago
Which statement about –2h2 – 15h – 7 is true?
alina1380 [7]

Answer:

The 3rd option is correct ♡

6 0
3 years ago
Which of the following is a solution of the inequality 3x ≥15 A.0 B.2 C.4 D.6​
vfiekz [6]
The answer is equal to A which is 0
5 0
3 years ago
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