All categories

2 years ago

What is the value of x?

Mathematics

1 answer:

dangina [55]2 years ago

7 0

Answer:

x = 52°

Step-by-step explanation:

The angles add up to 360°.

x + 98 + x + 91 + x + 15 = 360
3x + 204 = 360
3x = 156
x = 52°

You might be interested in

What is the simplified form of (2 X 102)2 in standard notation? Do not use commas in your answer. (HAS TO BE A NUMBER)

Oxana [17]

Answer:

40000

Step-by-step explanation:

$(2 \times {10}^{2} )^{2} \\ = {2}^{2} \times {10}^{2 \times 2} \\ = 4 \times {10}^{4} \\ = 40000$

7 0

3 years ago

Can 14, 18, and 31 form a triangle ?

guapka [62]

Answer: Yes, they can.

Clarification:

We have three different sides with different lengths:

$\mathrn {14, 18, 31}$

These three lengths can form a triangle, an isosceles triangle.

Isosceles triangles have three different side lengths.

Hope this helps you. Best of Luck!

5 0

3 years ago

Perform the following multiplication a) 9xy ( x²y – xy²) b) 7 p²q² (9 pq - 9 p²q²)

erastova [34]

Answer:

hsjishsvdndkssjxbbxjsiaiajbxbxbsjsisis

6 0

3 years ago

Evaluate 3x-2y; if x=7 and y=3

Zarrin [17]

Answer:

Step-by-step explanation:

3x - 2y = ?

3(7) - 2(3) = ?

21 - 6 = ?

= 15

All you have to do is substitute the given values & follow the order of operations! Best of luck.

3 0

3 years ago

Solve 6 sin((π/5)x)=5 for the four smallest positive solutions

cupoosta [38]

Answer:

1.568, 3.432, 11.568, 13.432

Step-by-step explanation:

Divide equation $6\sin\left(\dfrac{\pi }{5}x\right)=5$ by 6:

$\sin\left(\dfrac{\pi }{5}x\right)=\dfrac{5}{6}.$

Then

$\dfrac{\pi }{5}x=(-1)^k\arcsin\left(\dfrac{5}{6}\right)+\pi k,\ k\in Z,$

$x=(-1)^k\dfrac{5}{\pi }\arcsin\left(\dfrac{5}{6}\right)+5k,\ k\in Z.$

Since $\arcsin\left(\dfrac{5}{6}\right)\approx 56^{\circ}\approx \dfrac{\pi }{3.2},$

four smallest positive solutions are

1. $\dfrac{5}{3.2}\approx 1.568,\ k=0;$

2. $\dfrac{-5}{3.2}+5\approx 3.432,\ k=1;$

3. $\dfrac{5}{3.2}+10\approx 11.568,\ k=2;$

4. $\dfrac{-5}{3.2}+15\approx 13.432,\ k=3.$

3 0

3 years ago