Answer:
x = 16
Step-by-step explanation:
(5x + 12)° + (6x - 8)° = 180°
(5x + 12 + 6x - 8)° = 180°
(11x + 4)° = 180°
11x + 4 = 180
11x = 180- 4
11x = 176
x = 176/11
x = 16
Answer:
n = 24
Step-by-step explanation:
(n + 18) and 2n are "complementary angles:" they add up to 90°.
Thus, n + 18 + 2n = 90. Combining the n terms results in 3n + 18 = 90.
Then 3n = 72. Dividing both sides by 3 results in n = 24.
n is 24, so n + 18 is 42 and 2n is 48. Note that 42 and 48 add up to 90.
Step-by-step explanation:
One side of a triangle is 9 cm and other side is 37 cm. We need to find what could be the length of the third side of the triangle.
If we add one and other side i.e. 9 cm + 37 cm = 46 cm
If we subtract one and other side i.e. 37 cm - 9 cm = 28 cm
We know that, the length of the third side must be less than the sum of the other two sides and greater than the difference between the other two sides.
Thus, the third side could be between 46 cm and 28 cm.
The area of the given square pyramid is:
total area = 1,100 inches squared.
<h3 /><h3>
How to get the area of the pyramid?</h3>
On the second image, we can see that the pyramid is conformed of a square base and 3 triangles.
To get the surface area of the pyramid, we can just get the area of each of these simpler parts.
The base is a square of 22 in by 22 in, then the area of the base is:
B = (22in)*(22 in) = 484 in^2
For each triangle, the area will be:
A = (base side)*(height)/2
A = (22in)*(14in)/2 = 154 in^2
And we have 4 of these triangles, then the total area of the pyramid will be:
total area = B + 4*A = 484in^2 + 4*(154 in^2) = 1,100 in^2
If you want to learn more about square pyramids:
brainly.com/question/22744289
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