All categories

3 years ago

Solve for the value of k

Mathematics

2 answers:

anygoal [31]3 years ago

5 0

Notice that if we add the 3 angles in the image, the outcome should be an angle of 180° (the one of the line alone)

With this, we will found that the answer is k = 13

Let's do the math, for the initial information we can write:

(4k - 7)° + 90° + (3k + 6°) = 180°

Where the 90° comes from the right angle, the one written with a little square.

Now we can solve this for k

(4k - 7)° + 90° + (3k + 6°) = 180°

(4k + 3k)° + (-7° + 90° + 6°) = 180°

7°k + 89° = 180°

7°k = 180° - 89° = 91°

k = 91°/7° = 13

So we found that the value of k is 13.

If you want to learn more, you can read:

brainly.com/question/13690593

Katarina [22]3 years ago

4 0

Answer:

4k-7 + 3k+ 6 = 90

7k -1 = 90

7k = 91

k=13

Step-by-step explanation:

You might be interested in

If sin 0(theta)=2/3 and tan 0(theta)<0. What is the value of cos 0(theta)

BigorU [14]

Answer:

cos Ф = adj / hyp = √5 / 3

Step-by-step explanation:

If sin Ф is +, then Ф must be in either Quadrant 1 or Quadrant 2.

If tan Ф < 0, then Ф must be in either Quadrant 2 or Quadrant 3.

So we conclude that Ф is in Quadrant 2.

If sin Ф = opp / hyp = 2/3, then opp = 2 and hyp = 3, and adj is found using the Pythagorean Theorem:

adj = √( 3² - 2² ) = √( 5 )

With adj = √5 and hyp = 3, cos Ф = adj / hyp = √5 / 3

7 0

2 years ago

It takes a motorboat twice as much to cover the distance going upstream as it takes it to cover the same distance going downstre

Stells [14]

Answer:

time*2:time

Step-by-step explanation:

4 0

3 years ago

What are the coordinates?

Yuki888 [10]

Answer: 2

Step-by-step explanation: (2x-4)

4 0

3 years ago

Please help with 40-42 please if you could

likoan [24]

40.) 10.5^2 and the area is 110.25

41.) 126

42.) 81 millimeters

7 0

3 years ago

For f(x) = 3x + 1 and g(x) = x^2 - 7, find f(g(4)).

kodGreya [7K]

First, let's find g(4). After we find it, we can substitute the value into $f(x)$ .

To find g(4), we need to substitute x = 4 into the function $g(x)$ , as shown below:

$g(x) = x^2 - 7$

$g(4) = 4^2 - 7$

$g(4) = 9$

Now that we have found g(4) = 9, we can substitute this value in for $x$ in $f(x)$ .

$f(x) = 3x + 1$

$f(9) = 3(9) + 1$

$f(9) = 28$

f(g(4)) is equal to 28.

4 0

3 years ago