Answer: The length of BC is 7
Step-by-step explanation: Assuming the lengths of the opposite sides of the quadrilateral are congruent, then
AB=DC and
AD=BC
Inputting the values of AB, DC and AD as given in the question:
x + 8 = 3x ...(1)
x + 3=? ...(2)
We have to solve for the value of x to get the actual lengths and thus ascertain BD.
From equation (1):
8 = 3x - x
8 = 2x
8/2 = x
Therefore, x = 4.
If x = 4 then equation(2) would be
4 + 3= 7.
Hence, the actual lengths of the quadrilateral are:
AB = 4 + 8. DC = 3(4)
=12. =12.
AD = 4 + 3. AD = BC
= 7. Therefore, BC = 7.
Hence, it is confirmed that quadrilateral ABCD is a parallelogram since both the opposite sides are proven to be congruent.
Answer:
408.46cm^2
Step-by-step explanation:
Given data
Height= 13cm
Diameter= 10cm
Radius= D/2= 10/2= 5cm
The area of the curved surface will be = 2πr × h = 2πrh
substitute
Area of the curved surface = 2πrh= 2*3.142*5*13
Area of the curved surface = 2πrh= 408.46cm^2
Hence the area of the curve surface is 408.46cm^2
Answer:
m∠N = 32°
NQ = 106°
When finding inscribed angles like ∠N with the intercepted arc, the equation is ∠N=1/2MP. (Inscribed angles are always half the degree of the arc length.) Plug in the corresponding value to get ∠N=1/2(64) to get 32°. When finding the angle of the intercepted arc with inscribed angles like NQ, the equation is NQ=2(∠P). Plug in the corresponding value to get 2(53) to get 106°.
Answer:
2
Step-by-step explanation:
378296/8=47287
Answer:
All real numbers are solutions.
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−3(m+8)=−3m−24
(−3)(m)+(−3)(8)=−3m+−24(Distribute)
−3m+−24=−3m+−24
−3m−24=−3m−24
Step 2: Add 3m to both sides.
−3m−24+3m=−3m−24+3m
−24=−24
Step 3: Add 24 to both sides.
−24+24=−24+24
0=0
Answer:
All real numbers are solutions.
