All categories

3 years ago

Angle x + 16 and Angle 4x - 5. They are vertical angles. Solve for x and the measure of the two angles.

Mathematics

1 answer:

inna [77]3 years ago

4 0

Answer:

Vertical angles are congruent and have equal measures. Therefore,

Simplify and solve for x :

x + 16 = 4x -5.

16=3x-5

21=3x

x=7

Thus the angles measure is x+16 = 7+16 = 23 degrees, for both angles (for each of the two vertical angles).

Step-by-step explanation:

each angle measure is 23 degrees

You might be interested in

A carpenter cut a 6 ½-ft. board into 3/4-ft. sections. What is the number of whole sections he cut?

Aliun [14]

Answer:

Step-by-step explanation:

This man is cutting 6.5 ft of wood into pieces that are .75 ft long.

Divide 6.5/.75 and there's ur answer chief

4 0

3 years ago

If you know that the exact volume of a cylinder is 500 π cm3, how can you find the approximate volume, without knowing the heigh

OLga [1]

The formula for the volume of a cylinder ( V=πr2h) is useable to find the missing height. Then, to find the radius, use the equation, r = square root of (V / (pi x h)). Plug your numbers into the equation and solve.

5 0

3 years ago

What is the value of c such that the line y=2x+3 is tangent to the parabola y=cx^2

satela [25.4K]

The value of $c$ such that the line $y = 2\cdot x + 3$ is tangent to the parabola $y = c\cdot x^{2}$ is $-\frac{1}{3}$ .

If $y = 2\cdot x + 3$ is a line tangent to the parabola $y = c\cdot x^{2}$ , then we must observe the following condition, that is, the slope of the line is equal to the first derivative of the parabola:

$2\cdot c \cdot x = 2$ (1)

Then, we have the following system of equations:

$y = 2\cdot x + 3$ (1)

$y = c\cdot x^{2}$ (2)

$c\cdot x = 1$ (3)

Whose solution is shown below:

By (3):

$c =\frac{1}{x}$

(3) in (2):

$y = x$ (4)

(4) in (1):

$y = -3$

$x = -3$

$c = -\frac{1}{3}$

The value of $c$ such that the line $y = 2\cdot x + 3$ is tangent to the parabola $y = c\cdot x^{2}$ is $-\frac{1}{3}$ .

We kindly invite to check this question on tangent lines: brainly.com/question/13424370

3 0

2 years ago

write the slope intercept form of the equation of each line given the slope and y intercept. // slope= 1/3 y-intercept= 4 // slo

professor190 [17]

Answer:

Slope: 1/3; Y-iintercept: 4 y=1/3x+4

Slope: -2; Y-intercept: 4 y=-2x

Step-by-step explanation:

Hope this helps :3

if it did pls mark brainliest

6 0

3 years ago

Determine if the two lines y = 2x - 3/2 and y = -2x + 2/3 are parallel, perpendicular or neither. Explain

lorasvet [3.4K]

Answer:

Neither

Step-by-step explanation:

For two lines to be parallel, they must have the same slope. 2 and -2 are not the same. For lines to be perpendicular, their slopes must be negative reciprocals (ex 5 and -1/5) The slopes of these lines are not the same or negative reciprocals, so they are not parallel or perpendicular.

Hope this helps :-)

4 0

3 years ago