Answer:
30 degrees
Step-by-step explanation:
Keep this in mind, ALL triangles must equal 180 degrees.
This is an acute triangle, hence one of the angles is 90 degrees. To find the other two angles, we must solve for x. Since we know the sum of all angles in this triangle must equal 180 degrees, we know for setting up our equation, all the angles should equal 180.
![90 + (x+37) + (x+67) = 180\\](https://tex.z-dn.net/?f=90%20%2B%20%28x%2B37%29%20%2B%20%28x%2B67%29%20%3D%20180%5C%5C)
Now solve for x by isolating x
![2x + 194 = 180\\2x=-14\\x=-7](https://tex.z-dn.net/?f=2x%20%2B%20194%20%3D%20180%5C%5C2x%3D-14%5C%5Cx%3D-7)
Our x is -7, now that we know that the numerical value of x is -7, replace x with -7 for angle A.
-7 + 37 = 30
<A is 30 degrees.
<u>Check your work</u>
Plug in -7 where you see x.
![90 + (x+37) + (x+67) = 180\\90 + (-7+37) + (-7+67) = 180\\90 + 30 + 60 = 180\\180 = 180](https://tex.z-dn.net/?f=90%20%2B%20%28x%2B37%29%20%2B%20%28x%2B67%29%20%3D%20180%5C%5C90%20%2B%20%28-7%2B37%29%20%2B%20%28-7%2B67%29%20%3D%20180%5C%5C90%20%2B%2030%20%2B%2060%20%3D%20180%5C%5C180%20%3D%20180)
Turns out this was a 30-60-90 triangle. ✅
Answer:
Volume = 100 cm³
Surface area of the square pyramid = 145 cm²
Step-by-step explanation:
Given:
Perpendicular height = 12cm
Square length = 5cm
Find:
Volume
Surface area of the square pyramid
Computation:
Area of base = side²
Area of base = 5²
Area of base = 25 cm²
Volume = (1/3)(A)(h)
Volume = (1/3)(25)(12)
Volume = 100 cm³
Surface area of the square pyramid = A + 1/2(P)(h)
Perimeter square pyramid = 4(s)
Perimeter square pyramid = 4(5)
Perimeter square pyramid = 20 cm
Surface area of the square pyramid = 25 + 1/2(20)(12)
Surface area of the square pyramid = 145 cm²
Answer:
for the lazy anti social people
I believe it would be (-2,-2) i may be wrong though i dont have my graphing papers
Answer:
cosine = adjacent / hypotenuse
cosine 62º = JL / 17
JL = cosine 62º * 17
JL = .47 * 17
JL = 7.99
JL = 8.0
Step-by-step explanation: