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stellarik [79]
2 years ago
5

Find the value of X for the given parallelogram

Mathematics
1 answer:
KatRina [158]2 years ago
8 0
Opposite angles in a parallelogram are congruent

So,


6x-10 = 2x + 50

Now solve like a normal equation

4x = 60
x = 15
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Given the diagram below. If G is the circumcenter of ABC. DC = 16, GB = 21 and AZ = 19, find each measure.​
Jlenok [28]

Answer:

Step-by-step explanation:

Properties of a circumcenter;

1). Circumcenter of a triangle is a point which is equidistant from all vertices.

2). Point where perpendicular bisectors of the sides of a triangle meet is called circumcenter of the triangle.

From the picture attached,

9). AG = GB = GC = 21

10). BC = 2(DC)

            = 2×16

            = 32

11). By applying Pythagoras Theorem in ΔGFB,

     GB² = GF² + FB²

     (21)² = GF² + (19)²

     441 = GF² + 361

     GF² = 441 - 361

     GF = \sqrt{80}

     GF = 8.9

12). By applying Pythagoras theorem in ΔGDB,

     GB² = DG² + BD²

     (21)² = (DG)² + (16)² [BD = DC = 16]

     DG² = 441 - 256

     DG = √185

     DG =  13.6

7 0
3 years ago
(9, 18)and<br> (3, n) .<br> Find<br> n
Maru [420]

I don't seem to comprehend what you are asking?

8 0
3 years ago
Tina is saving to buy a notebook computer. She has two options. The first option is to put $500 away initially and save $30 ever
Jlenok [28]
First option:
y=money saved
x=number of months

y=30x+500

Second option:

y=50x+200

We have this system of equations:

y=30x+500
y=50x+200

We can solve this system of equations by equalization method
30x+500=50x+200
30x-50x=200-500
-20x=-300
x=-300/-20
x=15

so;
y=30x+500
y=30(15)+500
y=450+500
y=950

Answer; after 15 months, she would save the same amount using either option, the amount saved in either option will be $950. 
3 0
3 years ago
Sarah goes to a bakery to buy doughnuts for work.
frosja888 [35]

Answer:

The equation i came up with is $55= 7.8x - 47.20

5 0
2 years ago
For which equation would n = 0 not be a solution?
4vir4ik [10]
For the first equation n + 4 = 5, because 0 + 4 is not equal 5
5 0
3 years ago
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