What is the value of x in this figure

Mathematics

2 answers:

taurus [48]3 years ago

8 0

Answer:

43 is the correct answer......

Damm [24]3 years ago

8 0

Answer:

43°

Step-by-step explanation:

the blue angle is congruent with the 80° because they are vertical angles

the red angle is 57° because 123° and 57° angles are supplementary angles

the green angle is 43° because the sum or angles in a triangle is 180°

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Please help I will mark brainlist if correct

love history [14]

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Equation
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$y - 9 = - \dfrac{1}{2} (x + 2)$

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Rearrange the equation
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$y - 9 = - \dfrac{1}{2} (x + 2) \\ \\
 y - 9 = - \dfrac{1}{2}x - 1 \\ \\
 y - 9 + 9 = - \dfrac{1}{2}x - 1 + 9 \ \Longleftarrow \text{add 9 to both side} \\ \\
 y = -\dfrac{1}{2}x + 8$

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slope of the perpendicular line
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slope = 2

(*the slope of the perpendicular line is the negative reciprocal of the slope of line)

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Substitute slope into equation y = mx + c
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y = 2x + c

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Find y-intercept
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y = 2x + c
At point (0, 4)
4 = 2(0) + c
c = 4

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Substitute y-intercept into the equation y = 2x + c
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y = 2x + 4

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Answer: y = 2x + 4
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3 0

3 years ago

Help please easy points

Tanya [424]

Answer:

y=2x

Step-by-step explanation:

We need to first find the slope. Lets get two points and apply the slope formula.

(1,2) and (2,4)

Rise: 2

Run: 4

Slope: 2

Then, lets use the standard way of showing a linear equation.

y=mx+b

y=2x+0

4 0

2 years ago

Read 2 more answers

A rectangular solid with a square base has a volume of 4096 cubic inches - determine the dimensions that yield the minimum surfa

Bumek [7]

Answer:

side of base, a = 10.1 inches, height, h = 40.1 inches

Step-by-step explanation:

Volume of rectangular solid, V = 4096 cubic inches

Let the side of base is a and the height is h.

$V = a^2h\\\\4096 = a^2 h ..... (1)$

surface area of the solid

$S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2} from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches$