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3 years ago

Find x,y, and z and please show all work.

Mathematics

1 answer:

lana [24]3 years ago

6 0

Answer:

x = 47°

y = 10

z = 5

Step-by-step explanation:

They share the middle line which is one side. It's given that side y is congruent to the side with a value of 5. Angle X and the non labeled angel are also congruent to each other. Using SAS (side angle side) we can conclude the 2 triangles are congruent, which means all angles and sides are congruent and equal.

The angles of a triangle add to 180.

x+90+43=180

x=47

z is congruent/equal to 5 since they are congruent and equal triangles. Therefore z=5

Y is congruent to side 10, which also means it is equal to 10. Therefore y=10

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Read 2 more answers

What are the square roots of; (note: i think there are supposed to be 2 each) 36 12 1.96 0.64 400 25/36

Goryan [66]

Answer:

36 : 6 and -6

12 = $2\sqrt{3} , -2\sqrt{3}$

1.96 =1.4 and -1.4

0.64 : 0.8 and -0.8

400 : 20 and -20

25/36 = 5/6 and -5/6

Step-by-step explanation:

we know that

(-x)^2 = x^2

ALSO

(x)^2 = x^2

thus, square of both negative and positive number is same positive number.

_________________________________________________

36 = 6*6

36 = -6*-6

hence

square roots of 36 is both -6 and 6

12 = 4*3 = $2^2*\sqrt{3} *\sqrt{3}$

$\sqrt{12} = 2\sqrt{3}$

also

12 = $-2\sqrt{3} *-2\sqrt{3}$

$\sqrt{12} = -2\sqrt{3}$

___________________________________

1.96 = 196/100 = (14/10)^2

1.96 = 196/100 = (-14/10)^2

hence

$\sqrt{1.96} = 14/10 \ or -14/10$

_______________________________

0.64 = 64/100 = (8/10)^2 = 0.8^2

0.64 = 64/100 = (-8/10)^2 = (-0.8)^2

Thus, square root of 0.64 = 0.8 and -0.8

_________________________________

400 = 20^2

400 = (-20)^2

$\sqrt{400} = 20\\\sqrt{400} = -20\\$

__________________________________

25/36 = (5/6)^2

25/36 = (-5/6)^2

$\sqrt{ 25/36} = 5/6 \\\sqrt{ 25/36} = (-5/6$

7 0

3 years ago

Which of the following graphs shows a parabola with a vertex of (1,-9) and solutions of (-2,0) and (4,0)?

Mariulka [41]

Answer:

Hello,

Step-by-step explanation:

Roots are -2 and 4

y=k*(x+2)(x-4)

Vertex = (1,-9) is a point of the parabola

-9=k*(1+2)(1-4) ==> k=1

Equation of the parabola is y=(x+2)(x-4)

But you don' t have given the graphs !!!!

3 0

3 years ago