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4 years ago

Solve for x in the figure below 5x+18 7x-14

Mathematics

2 answers:

daser333 [38]4 years ago

8 0

Answer:

16 =x

Step-by-step explanation:

The angles are corresponding angles and since the lines are parallel, they are equal

5x+18 =7x-14

Subtract 5x from each side

5x+18 -5x=7x-5x-14

18 = 2x-14

Add 14 to each side

18+14 = 2x-14+14

32 = 2x

Divide by 2

32/2 = 2x/2

16 =x

horsena [70]4 years ago

4 0

Answer: x=16

Step-by-step explanation:

make it an equation: the equation 5x+18=7x-14

then, solve for x.

steps :

1. add 14 to both sides to get 5x+32=7x

2. subtract 5x to both sides to get 32=2x

3. divide both sides by 2 to get 16=x

You might be interested in

What is the equation for a line that passes through the points (5,-4) and (-10,17

zloy xaker [14]

The equation of line passing through (5,-4) and (-10,17) is:

$y = -\frac{7}{5}x+3$

Step-by-step explanation:

Given points are:

(x1,y1) = (5,-4)

(x2,y2) = (-10,17)

The equation of line in slope-intercept form is given by:

$y = mx+b$

First of all, we have to find the slope of the line

Slope is given by:

$m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{17-(-4)}{-10-5}\\m = \frac{17+4}{-15}\\m = \frac{21}{-15}\\m = -\frac{7}{5}$

Putting the value of slope in the equation

$y = -\frac{7}{5}x+b$

To find the value of b, putting (5,-4) in equation

$-4 = -\frac{7}{5}(5) + b\\-4 = -7 +b\\b = 7-4\\b = 3$

Putting the value of b:

$y = -\frac{7}{5}x+3$

Hence,

The equation of line passing through (5,-4) and (-10,17) is:

$y = -\frac{7}{5}x+3$

Keywords: Equation of line, slope

Learn more about equation of line at:

#LearnwithBrainly

3 0

4 years ago

Use the exponential growth model, A = A0 e^kt to show that the time is takes a population to double (to frow from A0 to 2 A0) is

ludmilkaskok [199]

Answer:

<em>Proof below</em>

Step-by-step explanation:

<u>Exponential Grow Model</u>

The equation to model some time dependant event as an exponential is

$A=A_oe^{kt}$

Where Ao is the initial value, k is a constant and t is the time. With the value of Ao and k, we can compute the value of A for any time

We are required to find the time when the population being modeled doubles from Ao to 2 Ao. We need to solve the equation

$2A_o=A_oe^{kt}$

Simplifying by Ao

$2=e^{kt}$

Taking logarithms in both sides

$ln2=lne^{kt}$

By properties of logarithms and since lne=1

$ln2=kt\cdot lne=kt$

Solving for t

$\displaystyle t=\frac{ln2}{k}$

Hence proven

6 0

3 years ago

Which of the following is the statement below describing? If a point is on the perpendicular bisector of a segment, then it is e

Bezzdna [24]

Answer:

Step-by-step explanation:

(A) Right angle theorem : The right angle theorem states that if two angles are supplementary and congruent, then these two angles are right angles.

(B) Converse of perpendicular bisector theorem: The converse of perpendicular bisector theorem states that If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of that segment.

(C) Perpendicular Bisector Theorem: The Perpendicular Bisector Theorem states that If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

(D) Pythagorean theorem: The Pythagorean theorem states that in the right angled triangle, the square of the hypotenuse of the triangle is equal to the sum of the squares of the other two sides that is:

$(Hypotenuse)^2=(Base)^2+(Perpendicular)^2$

Since, the given statement is the statement of the Perpendicular bisector theorem, thus option C is correct.

3 0

4 years ago

Read 2 more answers

HELP MEEEEE PLEASEEEE

loris [4]

Answer:

0.0036 i think this is the answer. I don't really know.

3 0

3 years ago

Is this the correct answer? if not, what is it?

sergiy2304 [10]

Answer:

B. 1:2800

Step-by-step explanation:

448 / .16 = 2800

1:2800

Feel free to let me know if you need more help! :)

6 0

4 years ago