The angles ∠CFE and ∠AFB are vertically opposite angles. Then the value of x will be 6.
<h3>What is an angle?</h3>
Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
We know that the angle ∠DFE is 90°.
Then the sum of the angle ∠CFD and ∠DFE will be
∠CFD + ∠DFE = 27° + 90°
∠CFD + ∠DFE = 117°
Then the angles ∠CFE and ∠AFB are vertically opposite angles. Then we have
∠CFD = ∠DFE
Put the values
21x - 9 = 117
21x = 126
x = 6
More about the angled link is given below.
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Answer:
43.75 ft²
Step-by-step explanation:
= (l√(w/2)² + h²) + (w√(l/2)² + h²)
l & w become 3.5, and h becomes 6.
<em />
<em> </em>= (3.5√(3.5/2)² + 6²) + (3.5√(3.5/2)² + 6²)
<em>Step 1:Because this is a square pyramid, what you see above essentially becomes what you see below.</em>
<em />
= 2(3.5√(3.5/2)² + 6²)
<em>Step 2: Divide 3.5 by 2 to get 1.75.</em>
<em />
<em> </em>= 2(3.5√1.75² + 6²)
<em>Step 3: Square both 1.75 and 6 to get 3.0625 and 36 respectively.</em>
= 2(3.5√3.0625 + 36)
<em>Step 4: Add 3.0625 and 36 to get 39.0625.</em>
<em />
= 2(3.5√39.0625)
<em>Step 5: The square root of 39.0625 is 6.25.</em>
<em />
<em> </em>= 2(3.5 * 6.25)
<em>Step 6: Multiply 3.5 by 6.25 to get 21.875.</em>
<em />
= 2(21.875)
<em>Step 7: Multiply 2 by 21.875 to get 43.75.</em>
<em />
= 43.75 ft²
The lateral area of this pyramid is 43.75 ft².
<em />
<em />
Answer:
3.42582025
Step-by-step explanation:
According to a high-standard calculator, this is the answer.
Hope I helped:)!!
Answer:
6.9%
Step-by-step explanation:
Interest rate is the one variable in an amortization formula that cannot be determined explicitly. An iterative solution is required, which means the computation must be done by a calculator, spreadsheet, or web site.
My TI-84 TVM Solver tells me that for the given loan amount and payment schedule, the APR is about 6.9%.
Answer:
0.1981
Step-by-step explanation:
See attachment for calculation