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Natali5045456 [20]
3 years ago
14

Can anyone please help me with this? You need to find the equation to solve for x, the value of x, and the value of each angle m

easure for all 5 questions. I will give brainliest

Mathematics
1 answer:
KiRa [710]3 years ago
3 0

Answer:

1. 3x+21 = 6x-60\\or, 6x-3x = 21+60 [Being~corresponding~angles]\\or, 3x = 81\\or, x = 27.\\Equations: 3x+21=6x-60\\Value ~of ~x = 27\\Angle ~measure = (3x+21), (6x-60) = 3(27)+21,6(27)-60 = 102,102\\

2. 12x - 18 = 8x+10 [Being~vertically~opposite~angles]\\or, 12x - 8x = 18+10\\or, 4x = 28\\or, x = 7\\Equations: 12x-18 = 8x+10\\Value~ of~ x: 7\\Angle ~measure: (12x-18),(8x+10) = 66,66\\

3. Have~a~look~at~the~figure.\\Here, y = 3x+9 [Being~ vertically ~opposite ~angles]\\Also, y+5x+3 = 180^{o} [ Being~cointerior~angles]\\or, 3x^{o}+9^{o}+5x^{o}+3^{o}=180^{o}\\or, 8x^{o}+12^{o}=180^{0}\\or, 8x^{o} = 168^{o}\\or, x = 21^{o}\\So, 3x+9 = 3(21)+0 = 72^{o} ~and ~5x+3 = 5(21)+3 = 108^{o}\\Equations: y = 3x +9, y+5x+3=180^{o}\\Value ~of~ x: 21^{o}\\Angle ~measure:  72^{o},108^{o}

4.~~~~ (3x+10)^{o}+(3x-28)^{o} = 180^{o} [Being~cointerior~angles]\\or, ~~~6x -18^{o} = 180^{o}\\or, 6x=198^{o}\\or, x = 33^{o}\\So, 3x+10 = 3(33)+10 = 109^{o}~and~3x-28 = 3(33)-28 = 71^{o}\\Equations: 3x+10+3x-28 = 180^o\\Value~ of~ x: 33^o\\Angle~measure: 109^o,71^o\\

5. Solution,\\12x+15 = 15x [Being ~alternate~angles]\\or, 15x-12x = 15\\or, 3x=15\\or, x = 5^{o}\\So, 12x+15 = 12(5)+15 = 75^o = 15x\\Equations: 12x+15=15x\\Value~of~x: 5^o\\Angle ~measure: 75^o,75^o

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Question 1 i need help on
ladessa [460]

The actual distance between Bixby and Coyle is 105 miles which can be represented by 7 cm.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

60 miles = 4 cm

Hence:

7 cm = 7 cm * (60 miles)/(4 cm)  = 105 miles

The actual distance between Bixby and Coyle is 105 miles which can be represented by 7 cm.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

6 0
1 year ago
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Ugo [173]

Answer:

2x+3=4x-7

4x-2x=-7-3

2x=-10

X=-5

4 0
2 years ago
Which of the equations below could be the equation of this parabola?
BARSIC [14]

Parabolas like y=ax^2 have the y-axis as their symmetry axis, so options B and D are surely wrong.

Moreover, parabolas like x=ay^2 have the x-axis as their symmetry axis. If a>0 the parabola is concave rightwards, if a the parabola is concave leftwards.

Since your parabola is concave leftwards, the only feasible option is x=-2y^2

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Viefleur [7K]
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KIM [24]

Answer:

k = - 2

Step-by-step explanation:

Lines g(x) and f(x) passes through the points (2, 0), (0, 2) & (4, 0), (0, 4)

Since both the lines are parallel, so slopes of lines g(x) and f(x) would be same.

Therefore,

Slope of line g = Slope of line f = (2-0)/(0 - 2) = 2/-2 = - 1

Equation of line g(x)

For point (0, 2)

y- intercept (b) = 2

y = mx + b

g(x) = - 1x + 2 [y = g(x)]

g(x) = - x + 2

Equation of line f(x)

For point (0, 4)

y- intercept (b) = 4

y = mx + b

f(x) = - 1x + 4 [y = g(x)]

f(x) = - x + 4

It is given that:

g(x) = f(x) + k

g(x) - f(x) = k

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

-x + 2 + x - 4 = k

2 - 4 = k

-2 = k

k = - 2

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