3 years ago

Find the value of x ?

Mathematics

1 answer:

RUDIKE [14]3 years ago

6 0

Answer:

x = 50

Step-by-step explanation:

add all terms and set sum equal to 360

the 'hint' of (n-2)180 determines how many degrees there are inside the polygon; if 'n' equals the number of sides and the polygon has 4 sides then sum of interior angles is (4-2)180 or 2x180 which is 360

x + 10 + 3x + x + 2x = 360

combine like terms to get: 7x + 10 = 360

7x = 350

x = 50

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triangle qrs has the angle measures shown. m∠q = (1x)° m∠r = (3x)° m∠s = (6x)° the measure of the obtuse angle equals

skelet666 [1.2K]

The sum of all interior angles in a triangle is 180°.

m∠q + m∠r + m∠s = 180°
1x + 3x + 6x = 180
10x = 180
x = 180/10
x = 18

m∠q = (1x)° = 1 x 18 = 18°
m∠ r = (3x)° = 3 x 18 = 54°
m∠s = (6x)° = 6 x 18 = 108°

m∠s is the obtuse angle because its measure is more than 90°. Its angle measures 108°

7 0

3 years ago

Read 2 more answers

Need help fast please thanks

murzikaleks [220]

Answer:

c = 41 ft

Step-by-step explanation:

To solve this problem, we can use the pythagorean theorem, which is defined by the formula $a^2+b^2=c^2$ . We are given both the lengths of the legs, so all we need to do is to plug them both in and solve for c: