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meriva
3 years ago
12

Hi i need help with something, tysm

Mathematics
1 answer:
mylen [45]3 years ago
8 0

Answer:

Step-by-step explanation:

y=-3/2x+5

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In the given figure ABCD is a tripepizeum with AB||CD. If AO = x-1, CO = BO = x+1 and CD = x+4. Find the value of x.
Hitman42 [59]

\longmapstoThe value of "x" is 5.

\large\underline{\sf{Solution-}}

Given that,

A trapezium ABCD in which AB || CD such that

  • AO = x - 1

  • CO = BO = x + 1

  • OD = x + 4

Now,

\rm In \: \triangle  \: AOB  \: and \: \triangle \:  COD

\rm  \: \angle  \: AOB  \: and \: \angle \:  COD \:  \:  \{vertically \: opposite \: angles \}

\rm  \: \angle  \:ABO  \: and \: \angle \:  CDO \:  \:  \{alternate \: interior \: angles \}

\bf \: \triangle  \: AOB \:  \sim \:  \triangle  \: COD \:  \:  \:  \{AA \: similarity \}

\bf\longmapsto\:\dfrac{AO}{CO}  = \dfrac{BO}{DO}

\rm \longmapsto\:\dfrac{x - 1}{x + 1}  = \dfrac{x + 1}{x + 4}

\rm \longmapsto\:(x - 1)(x + 4) =  {(x + 1)}^{2}

\rm \longmapsto\: {x}^{2} - x + 4x - 4 =  {x}^{2} + 1 + 2x

\rm \longmapsto\: 3x - 4 =  1 + 2x

\rm \longmapsto\: 3x  -  2x=  1 +4

\bf\longmapsto \:x = 5

7 0
3 years ago
Work out the height of a parallelogram with base of 6cm and area of 27cm²
professor190 [17]
To find the height of the parallelogram you would divide 6 from the area, 27, to get the answer 4.5,
So h=4.5
5 0
3 years ago
Which quadrilateral will always have 4-fold reflectional symmetry?
saul85 [17]

Answer:

trapezoid

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the perimeter of the triangle?<br>​
Naya [18.7K]

Answer:

30 units

Step-by-step explanation:

if you count the boxes that each side takes up you get the first side being equal to 5 units and the base being equal to 12 units. because this is a right triangle to find the length of the hypotenuse you have to use the Pythagorean equation. when you input the values into the equation you get 5^2 + 12^2 = 169 which square roots to 13. after doing this you have the length of the final side, now input them into the formula for the perimeter of a triangle which is a + b + c and you get a perimeter of 30 units,

Please mark as brainliest :)

7 0
3 years ago
Read 2 more answers
Solving simultaneous equations by algebraic methods <br> 3a+4x=29<br> 2a-3x=-9
kogti [31]
<span>3a+4x=29 (1st)
2a-3x=-9 (2nd)

multiply (1st) by 3 and (2nd) by 4

</span>9a + 12x = 87 (1st)
8a - 12x = -36 (2nd)
---------------------add
17a = 51
   a = 3

<span>2a-3x=-9
</span><span>2(3)-3x=-9
6 - 3x = -9
-3x = -15
   x = 5

answer
x = 5 and a = 3</span>
4 0
3 years ago
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