∠ABC and ∠DBC are complementary angles. If ∠ABC=6x+13 and ∠DBC=4x−3 what is the value of x?

Answers

Answer 1

Answer:

Answer:

x = 8

Step-by-step explanation:

Complimentary angles are angles that add up to 90 degrees. If ABC and DBC are complimentary, then when added together, it equals 90 degrees.

ABC + DBC = 90

6x+13+4x−3 = 90

10x+10 = 90

10x = 80

x = 8

Answer 2

Answer:

Final answer:

By setting up an equation based on the relationship that the measures of complementary angles sum up to 90 degrees, we can solve for x and find that x equals 8.

Explanation:

To find the value of x, first understand that complementary angles are angles whose sum is 90 degrees. So if ∠ABC and ∠DBC are complementary angles, we know that their measures add up to 90 degrees.

Given ∠ABC=6x+13 and ∠DBC=4x-3, you can form the equation (6x + 13) + (4x - 3) = 90. Simplify the equation to get 10x + 10 = 90. Subtract 10 from both sides of the equation, you'll get 10x = 80. Finally, divide by 10 on both sides to solve for x, we find that x = 8.

Learn more about Complementary angles here:

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100 points with work

Answers

Answer:

jacky 12 809 n-t

Step-by-step explanation:

Answer:

he said it not me

What is the distance from point -1, 6 To the line y=-2x

Answers

Answer:

Distance: 6.7

Step-by-step explanation:

y = -2x

If x is=0, y = 0 and if y is 0, x is = 2

(-1,6) and (2,0)

Sqrt[(2 - - 1)^2 + (0 -6)^2] =

Sqrt (3)^2 + (-6)^2 =

Sqrt 45 = 6.7

Answer:

distance from the point to the line is, d = 1.34

Step-by-step explanation:

equation of the line is, y = -2x

2x + y = 0

point given is, (-1, 6)

distance from the point to the line is given as,

d = |Ax1 + By1 + C| / √A² + B²

standard form of equation of line is:

Ax + By + C = 0

where, A = 2, B = 1, C = 0

and the point is, x1, y1 = -1, 6

by substituting the values in the formula,

d = |2(-1) + 1(-1) + 0| / √2² + 1²

= |-2 - 1 + 0| / √4 + 1

= |-3| / √5

= 3/2.24

thus, d = 1.34

If a point a an endpoint of a AC has coordinates (8,4) and point B, the midpoint of AC has coordinates (-2,7) what is the X value of the coordinates of point C

Answers

Answer:

The x-value of the coordinates of point C is -12.

Step-by-step explanation:

Let be $A = (8, 4)$ and $B = (-2, 7)$ , which is midpoint of segment AC. The location of point C is obtained from the midpoint formula, that is:

$B = (1)/(2)\cdot A + (1)/(2)\cdot C$

$2\cdot B = A + C$

$C = 2\cdot B - A$

$C = 2\cdot (-2,7)-(8,4)$

$C = (-4,14)-(8,4)$

$C = (-4-8,14-4)$

$C = (-12,10)$

The x value is the first component of the ordered pair, that is: $x = -12$ . The x-value of the coordinates of point C is -12.

What is 18027x1003. please explain the problem.

Answers

Well all you have to do is input 18027 * 1003 into your calculator, formerly known as 18027 multiplied by 1003 which gives us 18081081x

You have a limit of $300 that you can spend for a rental car on your vacation this summer. You have found a deal where you can rent a car for a daily rate of $30 plus a fee of $0.20 per mile driven. If you want to be able to keep the car for four days, how many miles can you drive?

Answers

From the problem
you can get the equation
4(30+0.20x) < 300

the 4 represents that it is within 4 days, the 30 is the daily fee, the 0.20 is the rate of per mile driven per day, and the 300 is how much money you have left to spend.

now we solve for x, first distribute the 4 into the parenthesis
120 + 0.80x < 300 then subtract 120 from both sides
-120 -120
and get 0.80x < 180 then divide both sides by 0.80
/0.80 /0.80
therefore x = 225
so you can drive 225 miles.

Help and plz explain for i can understand and will remember how to do it and DC for i can put on my notes

Answers

Answer in the document below.

$(3)/(14):(7)/(10)= (3)/(14)\cdot(10)/(7)= (3)/(7)\cdot(5)/(7)=(15)/(49)$

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