All categories

2 years ago

Solve for the value of k

Mathematics

2 answers:

anygoal [31]2 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]2 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

What is 8 1/3 x 3/5?

Savatey [412]

$8\frac{1}{3}\times\frac{3}{5}=\frac{8\times3+1}{\not3_1}\times\frac{\not3^1}{5}=\frac{24+1}{1}\times\frac{1}{5}=\frac{25}{1}\times\frac{1}{5}=\frac{25}{5}=\boxed5$

7 0

3 years ago

What is the area of this polygon?

Cerrena [4.2K]

Answer:

<h2>39 units</h2>

Solution,

Total area=Area of ABCD+ Area of triangle ADE

 $(ab \times bc) + \frac{1}{2} \times ad \times ef \\ = (5 \times 6) + \frac{1}{2} \times 6 \times 3 \\ = 30 + 9 \\ = 39 \: {units}^{2}$ 

hope this helps...

Good luck on your assignment...

7 0

3 years ago

Subtract 7x-9 from 2x^2-11 A) 2x^2-7x-2 B) 2x^2+7x-20 C) 2x^2+7x-2

Natali [406]

We keep the 2x^2 because we can only subtract something from that if it also is squared. From there, we subtract the 7x from 2x^2-11. Since there is no previous x's in the 2x^2-11, we just make it -7x. So, without even continuing the problem, we see that A) is the correct answer because it is the only one with -7x.

5 0

3 years ago

Read 2 more answers

A section of a deck is shaped like a trapezoid. For this section, the length of one base is 35 feet, and the

Sindrei [870]

Answer:

Step-by-step explanation:

a = 35 feet

b = 54 feet

h = 28 feet

$Area=\frac{[a+b]*h}{2}\\\\=\frac{[35+54]*28}{2}\\\\=\frac{89*28}{2}\\\\=89*14\\\\$