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vaieri [72.5K]
3 years ago
10

The interior angles formed by the side of a hexagon have measures of them up to 720° what is the measure of angle a

Mathematics
1 answer:
timofeeve [1]3 years ago
5 0

Answer:

n = 6

Step-by-step explanation:

the formula for interior angle is ( n-2)

but we given the measure of one angle, so solve

720 = (n - 2)180

720/180 = (n - 2)

4 = (n - 2)

combine the like terms

4 + 2 =n

6 = n


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triangle ABC is Isosceles CA and CB are equal AB is parallels to the x- axis. Work out the coordinate of A. Given that BC=5cm wo
BabaBlast [244]

Answer:

The perimeter of the triangle ABC is 17 cm.

Step-by-step explanation:

Consider the Isosceles triangle ABC.

The sides CA and CB are equal with measures, 5 cm.

The base angles are assumed to be <em>x</em>° each. Hence, the angle ACB is 2<em>x</em>°.

The altitude CP divides the base AB into two equal halves and the angle ACB is also cut into halves.

Consider the right angled triangle ACP.

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

Determine the value of <em>x</em> as follows:

<em>x</em>° + <em>x</em>° + 90° = 180°

2<em>x</em>° = 90°

<em>x</em>° = 45°

Compute the length of side AP as follows:

cos\ 45^{0}=\frac{AP}{CA}

      \frac{1}{\sqrt{2}}=\frac{AP}{5}

     AP =\frac{5}{\sqrt{2}}\\\\AP=3.5

Then the length of side AB is:

AB = AP + PB

     = 3.5 + 3.5

     = 7 cm

The perimeter of triangle ABC is:

Perimeter = AB + CA + CB

                = 7 + 5 + 5

                = 17

Thus, the perimeter of the triangle ABC is 17 cm.

8 0
3 years ago
Cylinder A is mathematically similar to cylinder B. The height of cylinder A is 10cm and its surface area is 440cm2​ ​. The surf
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Answer:

440 = 2\pi {r}^{2}  + 2\pi(r)10 \\

3960 = 2\pi {r}^{2}  + 2\pi(r)h

\frac{3960 = 2\pi {r}^{2}  + 2\pi(r)h}{440 = 2\pi {r }^{2} + 2\pi(r)10 }

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5 0
3 years ago
Find the values of the pronumerals in this diagram. Write down the reason in each case.
timofeeve [1]

Answer:

see explanation

Step-by-step explanation:

a and 85 form a straight angle and are supplementary, thus

a + 85 = 180 ( subtract 85 from both sides )

a = 95

b and 85 are vertical angles and are congruent, thus

b = 85

c and 85 are corresponding angles and congruent, thus

c = 85

c and d are vertical angles and congruent, thus

d = 85

In conclusion

a = 95, b = 85, c = 85, d = 85

5 0
3 years ago
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