Answer:
length and width of the photo are: w = 6cm l = 8cm
Step-by-step explanation:
Area = 168cm^2
Area = w • l
168 = (x + 3 + 3) • (x + 2 + 3 + 3)
168 = (x + 6) • (x + 8)
expand
168 = x^2 + 14x + 48
subtract 168 from both sides
0 = x^2 + 14x - 120
simplify
0 = (x - 6) • (x + 20)
x = 6 or -20
since we are dealing with a measurement of a physical object x > 0
x = 6cm
w = x = 6cm
l = x+2 = 8cm
The sum of 14 and a number is 14+x
we know that this equals 17, so: 14+x=17.
Let's substract 14 from both sides:
x=17-14
x=3
so the number is 3.
Answer:
Step-by-step explanation:
z = 119 Vertically opposite angles are equal.
5x + 41 + 119 = 180 5x + 41 and 119 are supplementary.
4x + 160 = 180 Subtract 160 from both sides
4x = 180 - 160
4x = 20 Divide by 4
x = 20/4
x = 5
Its an indirect proof, so 3 steps :-
1) you start with the opposite of wat u need to prove
2) arrive at a contradiction
3) concludeReport · 29/6/2015261
since you wanto prove 'diagonals of a parallelogram bisect each other', you start wid the opposite of above statement, like below :- step1 : Since we want to prove 'diagonals of a parallelogram bisect each other', lets start by assuming the opposite, that the diagonals of parallelogram dont bisect each other.Report · 29/6/2015261
Since, we assumed that the diagonals dont bisect each other,
OC≠OA
OD≠OBReport · 29/6/2015261
Since, OC≠OA, △OAD is not congruent to △OCBReport · 29/6/2015261
∠AOD≅∠BOC as they are vertical angles,
∠OAD≅∠OCB they are alternate interior angles
AD≅BC, by definition of parallelogram
so, by AAS, △OAD is congruent to △OCBReport · 29/6/2015261
But, thats a contradiction as we have previously established that those triangles are congruentReport · 29/6/2015261
step3 :
since we arrived at a contradiction, our assumption is wrong. so, the opposite of our assumption must be correct. so diagonals of parallelogram bisect each other.
Answer:
radius=2
Step-by-step explanation:
volume= 4/3 pi r^3
32/3pi=4/3r^3
divide out 4/3
8pi=r^3
cube root
r=2