Answer:
We have the three angles of a triangle as an equation, so we can add them together, and they equal 180.
So:
4x+10+12x-6+3x+5= 19x+9=180
19x=171 ... so: x= 171/19 = 9.
So ABC = 102 .. Obtuse angle
BAC = 46 .. Acute angle
BCA = 32 .. Acute Angle
Edit:
Angle 1 = 180 - BAC = 180 - 46 = 134
Angle 2= 180 - ABC = 180 - 102 = 78
It is 175. all you do is 14 divided by 8% , which is 0.08, on a calculator
Answer:
2656.31 
Step-by-step explanation:
To calculate the surface area, we need to find the area of all the faces, and add them together.
The faces of the cylinder are: the rectangular base, the curved top, and the two semicircles on the side.
Rectangular base:
A = length x width
A = 29.3 x 16.2
A = 474.66
Two semicircles:
A = 
x 
(I'm using the formula for a circle, because the two semicircles are identical, so together they form a circle)
radius = 29.3/2 = 14.65
A = x 
A = 674.256 (rounded to 3 decimal places)
Curved top:
The curved top, when flattened out, becomes a rectangle with a length of 16.2. The width is equal to half the circumference of the circle formed by the two semicircles.
To find the width, use the circumference (C) formula.
C = x diameter
diameter = 29.3
C = x 29.3
C = 93.049 (rounded to 3 DP)
Area (of curved top) = length x width
A = 16.2 x 93.049
A = 1507.394 (rounded to 3 DP)
Surface Area
SA = 474.66 + 674.256 + 1507.394
SA = 2656.31
Answer:
Step-by-step explanation:
A parallelogram is a quadrilateral with four sides.
Given parallelogram ABCD, to prove that opposite sides of the parallelogram are congruent.
Join D to B, the diagonal of the parallelogram which is also a traversal.
So that;
<ABD = <BDC (alternate angle property)
<BAC = <ACD (alternate angle property)
Also, diagonals;
/AC/ = /BD/ (reflexive property)
Then;
ΔABD = ΔCBD (Angle-Side-Angle, ASA, property)
Thus;
/AB/ ≅ /CD/ (corresponding sides of congruent triangles are congruent)
/BC/ ≅ /AD/ (corresponding sides of congruent triangles are congruent)
Therefore, the opposite sides of the parallelogram ABCD are congruent.
