All categories

3 years ago

Solve for the value of k. (k+8) 400

Mathematics

1 answer:

pashok25 [27]3 years ago

3 0

Answer:

value of k = 6

Step-by-step explanation:

sum of all angles forming a straight line = 180°

so,

7k + 8 + 90 + 40 = 180
7k + 138 = 180
7k = 180 - 138
7k = 42
k = 42/7
k = 6

hence the value of k = 6

You might be interested in

Greatest common factor 16 and 100

worty [1.4K]

Answer:

So the greatest common factor 16 and 100 is 4.

5 0

2 years ago

Read 2 more answers

Use the distance formula distance, to find the distance to the nearest tenth , between each pair of points A(6,2) and D(-3,-2)

marusya05 [52]

Answer:

The distance between A and D to the nearest tenth is;

$9.8\text{ units}$

Explanation:

Given the two points;

$A(6,2)\text{ and D(-3,-2)}$

Applying the distance between two points formula;

$d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}$

substituting the given coordinates we have;

$\begin{gathered} AD=\sqrt[]{(-3-6)^2+(-2-2)^2} \\ AD=\sqrt[]{(-9)^2+(-4)^2} \\ AD=\sqrt[]{81+16} \\ AD=\sqrt[]{97} \end{gathered}$

Simplifying;

$\begin{gathered} AD=9.8488578 \\ AD\approx9.8 \end{gathered}$

Therefore, the distance between A and D to the nearest tenth is;

$9.8\text{ units}$

4 0

1 year ago

1.7 In the following diagram, angle 7 equals 61°.

gladu [14]

1.7) < 7 and < 8 form a linear pair....which means, when added, they equal 180 degrees. So if < 7 = 61, then < 8 = (180 - 61) = 119 <=

1.8) angles that are supplementary will add up to 180. So if one of the angles is 38, then the other one is (180 - 38) = 142 <==

1.9) < 3 = < 5 (vertical angles are congruent)
1.10) < 2 = < 8 (vertical angles are congruent)
1.11) < 7 = < 1 (vertical angles)
1.12) < 6 = < 4 (vertical angles)

7 0

3 years ago

Read 2 more answers

In the American version of the Game Roulette, a wheel has 18 black slots, 18 red slots and 2 green slots. All slots are the same

m_a_m_a [10]

Answer:

-$0.26

Step-by-step explanation:

Calculation to determine the expected value of playing the game once

Expected value= [18/(18+18+2) x $5)]- [20/(18+18+2) x $5]

Expected value= ($18/38 x $5) - (20/38 x $5)

Expected value= ($2.37-$2.63)