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Tanzania [10]
3 years ago
14

What is the value of X in the following parallelogram?

Mathematics
1 answer:
Furkat [3]3 years ago
7 0

Answer: x = 35

Step-by-step explanation:

In a parallelogram, the opposite sides and the opposite angles are equal and parallel.

Also, the consecutive angles in a parallelogram are supplementary. This means that the sum of the consecutive angles is 180 degrees.

Angle (2x - 10) and angle (2x + 50) are consecutive angles. Therefore,

2x - 10 + 2x + 50 = 180

2x + 2x - 10 + 50 = 180

4x + 40 = 180

4x = 180 - 40 = 140

x = 140/4

x = 35

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Use the pythagoren theorem to solve x
defon
Well the equation is (A^2)+(B^2)=(C^2)

A= x
B= 2x
C will always be the longest side because it is the Hypotenuse = 25

So if you plug in those numbers into the equation...

(x^2) + (2x^2) = (25^2)

x^2 + 4x^2 = 625

Combine like terms

5x^2 = 625

Divide by five to both sides

x^2 = 125

Then Square root,

x = sqrt(125)

x = sqrt(25* 5)

x = 5sqrt(5)
3 0
3 years ago
Find the coordinates of the vertex of the following parabola algebraically. Write your answer as and x,y point
Likurg_2 [28]

The equation of the parabola in the vertex form is y =  (x - 3)^{2} - 5 with ( 3, -5) is the vertex of the parabola and 1 is the multiplier

In the above question, A parabolic equation is given as follows:

Y = x^2 - 6x + 4

The equation of the parabola in the vertex form is :

y = a (x - h)^{2} + k

Where a is a multiplier in the equation and (h,k) are the coordinates of the vertex

So, in order to obtain this form, we will use the method of completing square :

Y = x^2 - 6x + 4

y = x^{2} - 6x + (9 -9) + 4

y = (x - 3)^{2} + ( -9 + 4)

y =  (x - 3)^{2} - 5

where, ( 3, -5) is the vertex of the parabola and 1 is the multiplier

Hence, The equation of the parabola in the vertex form is y =  (x - 3)^{2} - 5 with ( 3, -5) is the vertex of the parabola and 1 is the multiplier

To learn more about, parabola, here

brainly.com/question/21685473

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8 0
1 year ago
If B is the midpoint of AC, and AC=8x-20. Find BC<br> AB=3x-1<br> Show all work
exis [7]
First we know that:
AB+BC=AC
now , since B is the midpoint of AC, this means that AB=BC
therefore,
AB+BC=AC can also be written as
AB+AB=AC
3x-1+3x-1=8x-20
6x-2=8x-20
-2+20=8x-6x
18=2x
x=9

therefore:
AB=3(9)-1=27-1=26
AC=8(9)-20=52
BC=AB=26
6 0
3 years ago
Read 2 more answers
Enrollment in mathematics courses
sesenic [268]

Answer:

25%

Step-by-step explanation:

1925 - 1440 = 485

X/100 = 485/1925 (what percent is 485 of 1925) (%/100=is/of)

(485 x 100) / 1925 (cross multiply)

48500/1925 = 25%

3 0
2 years ago
How many ones are in 500
alisha [4.7K]
There are 500 ones in 500
3 0
2 years ago
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