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1 year ago

Find the value of x that makes the shape a rhombus.

Mathematics

1 answer:

goldenfox [79]1 year ago

5 0

Given:

CDEF is a rhombus.

To find:

The value of x.

Solution:

We know that the diagonals of a rhombus are angle bisectors because they bisect each vertex angle.

$5x+1=8x-20$

$5x-8x=-1-20$

$-3x=-21$

Divide both sides by -3.

$x=\dfrac{-21}{-3}$

$x=7$

Therefore, the value of x is 7.

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What is the solution to x + 2 = 9?

olchik [2.2K]

The answer of x=7, because 7+2=9

6 0

2 years ago

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Find the intersection point between the lines of equations:<br><br>2x-y+6=0 and 2x+3y-6=0

Ugo [173]

Step-by-step explanation:

The two equation will intersect each other at the point which will be the solution of the given two equations , and the given equations are ,

$\implies 2x -y +6=0\\\\\implies 2x + 3y -6=0$

On subtracting the given equations we have,

$\implies -y - 3y +6 -(-6) = 0 \\\\\implies -4y = -12 \\\\\implies y = -12/-4\\\\\implies y = 3$

Put this value in any equation , we have ,

$\implies 2x -3 +6 =0\\\\\implies 2x = -3 \\\\\implies x =\dfrac{-3}{2} \\\\\implies x =-1.5$

Hence the lines will Intersect at ,

$\implies\underline{\underline{ Point=(-1.5, 3)}}$

8 0

2 years ago

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Two boys searching for buried treasure are standing underneath the same tree. one boy walks 12 m east and then 12 m north. the o

mylen [45]

Let
The origin of coordinates the tree
r1 = vector position of the child 1.
r2 = vector position of the child 2
Child 1:
r1 = (12i + 12j)
Child 2:
r2 = (-18i + 11j)
The scalar product will be given by:
r1.r2 = ((12) * (- 18)) + ((12) * (11)) = - 84
The scalar product of their net displacements from the tree is -84m ^ 2

5 0

2 years ago

N divided by 10 =32.7

sukhopar [10]

N/10 = 32,7
N = 32,7*10
N = 327

5 0

2 years ago

HELP i need the answers to these! explain if possible:)

IrinaVladis [17]

so one: the middle Angles are all 90 degrees triangles equal 180, the angle opposite of "x" is equal to 34 so 180-90-34=x

two: both angles are equal set it up like an equation and solve for n

three: the corner angle of the right triangle is equal to 61 as well again do 180-(61×2)=x

4: do this equation (<ktu)2+ x = 180 then solve for x

5: not exactly.sure what its asking

hope this helps

5 0

2 years ago