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3 years ago

[Help Asap, Will Mark Brainliest] Answer is in the image,

Mathematics

2 answers:

QveST [7]3 years ago

7 0

Answer:

x = 1.5 and z = 118

Step-by-step explanation:

z = 118° (Opposite side angles)

Total angle of the "x" = 360°

=> 118 + 118 + (8x + 50) + (8x + 50)

=> 236 + 16x +100 ° = 360°

=> 336° + 16x = 360°

=> 16x = 360 - 336

=> 16x = 24°

=> x = 24/16

=> x = 1.5

Hope it helps

Vera_Pavlovna [14]3 years ago

3 0

Z=118 as vertically opposite angles are the same

x= (8x-50)

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Hey there! :D

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2 years ago

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Sunny_sXe [5.5K]

Answer:

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Part 2) The vertex is the point $(1,8)$

Part 3) The equation of the axis of symmetry is $x=1$

Part 4) The vertex is a minimum

Part 5) The quadratic equation in standard form is $y=2x^{2}-4x+10$

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

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

where

(h,k) is the vertex of the parabola

if a > 0 then the parabola open upward (vertex is a minimum)

if a < 0 then the parabola open downward (vertex is a maximum)

The equation of the axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex

$x=h$

In this problem we have

$y=2(x-1)^{2}+8$ -----> this is the equation in vertex form of a vertical parabola

The value of $a=2$

a>0 then the parabola open upward (vertex is a minimum)

The vertex is the point $(1,8)$

$(h,k)=(1,8)$

The equation of the axis of symmetry is $x=1$

The equation of a vertical parabola in standard form is equal to

$y=ax^{2}+bx+c$

Convert vertex form in standard form

$y=2(x-1)^{2}+8$

$y=2(x^{2}-2x+1)+8$

$y=2x^{2}-4x+2+8$

$y=2x^{2}-4x+10$

see the attached figure to better understand the problem

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