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3 years ago

HELP! if a||b, what is the value of x?

Mathematics

1 answer:

NemiM [27]3 years ago

6 0

Answer:

x=9

Step-by-step explanation:

50 degrees and (10x-40) degrees are alternate interior angles and are, as such, equal. Thus, 50=10x-40, or 90 = 10x, or x = 9.

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Convert 6 miles to meters

Drupady [299]

Step-by-step explanation:

6miles= 9656.064 metres

5 0

2 years ago

Read 2 more answers

Write a quadratic equation given the roots -1/3 and 5, show your work

Travka [436]

$\boxed{(x - a)(x - b) = 0}$

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

$x = - \frac{1}{3} \\ x = 5$

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

$(x + \frac{1}{3} )(x - 5) = 0$

Here we can convert the expression x+1/3 to this.

$x + \frac{1}{3} = 0 \\ 3x + 1 = 0$

Rewrite the equation.

$(3x + 1)(x - 5) = 0$

Simplify by multiplying both expressions.

$3 {x}^{2} - 15x + x - 5 = 0 \\ 3 {x}^{2} - 14x - 5 = 0$

Answer Check

Substitute the given roots in the equation.

$3 {(5)}^{2} - 14(5) - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0$

$3( - \frac{1}{3} )^{2} - 14( - \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) + \frac{14}{3} - 5 = 0 \\ \frac{1}{3} + \frac{14}{3} - \frac{15}{3} = 0 \\ \frac{15}{3} - \frac{15}{3} = 0 \\ 0 = 0$

The equation is true for both roots.

Answer

$\large \boxed {3 {x}^{2} - 14x - 5 = 0}$

8 0

2 years ago

Every triangle in the figure at right is equilateral. What is the measure of ∠AGE?

Andrew [12]

Answer:

120°

Step-by-step explanation:

All the angles of an equilateral triangle are equal, and hence have a measure of 60°.

∵ ∠AGF is a part of equilateral Δ AGF, m∠AGF = 60°.

∵ ∠FGE is a part of equilateral Δ AGF, m∠FGE = 60°.

Also note that ∠AGE = ∠AGF + ∠FGE.

⇒ m∠AGE = m∠AGF + m∠FGE

⇒ m∠AGE = 60° + 60°

= 120°.

7 0

3 years ago

Three more than the quotient of a number and 8 is equal to 9

garri49 [273]

Answer:

The number is 48.

Step-by-step explanation:

x/8+3=9

x/8=9-3

x/8=6

x=6*8

x=48

6 0

2 years ago

What is the surface area of the solid shown below?

Ugo [173]

Answer:

$\text{C. }156\:\mathrm{cm^3}$

Step-by-step explanation:

The surface area of the triangular prism consists of three rectangles and two triangles.

Rectangle One - 5 x 12 = 60 cm^2

Rectangle Two - 4 x 12 = 48 cm^2

Rectangle Three - 3 x 12 = 36 cm^2

Triangles - 2 x 1/2 x 3 x 4 = 12 cm^2

Thus, the total surface area of the solid is $60+48+36+12=\boxed{\text{C. }156\:\mathrm{cm^3}}$

8 0

3 years ago