Given: lines l and m are parallel, and line t is a transversal.
angle pair result/justification
1 and 2 are equal (vertical angles)
6 and 8 are equal (corresponding angles)
1 and 4 are equal (alternate exterior angles)
4 and 8 are supplementary angles (i.e. add up to 180 degrees, a straight angle)
Note:
alternate angles are on opposite sides of the transversal, and each attached to a different (parallel) line.
If they are both enclosed by the parallel lines, they are alternate interior angles (examples: angles 2 and 3, 6 and 7)
If they are both outside of the two parallel lines, they are alternate exterior angles (examples: angles 1 and 4, 5 and 8)
<span>Step 1:
</span>
<span> (((22•5x2) + 25x) - 12x) - 15)))
</span>
<span>The first term is, <span> <span>20x2</span> </span> its coefficient is <span> 20 </span>.
The middle term is, <span> +13x </span> its coefficient is <span> 13 </span>.
The last term, "the constant", is <span> -15
</span></span>
<span>step 2 above, -12 and 25
<span>20x2 - 12x</span> + 25x - 15
Step-4 : Add up the first 2 terms, pulling out like factors :
4x • (5x-3)
Add up the last 2 terms, pulling out common factors :
5 • (5x-3)
Step-5 : Add up the four terms of step 4 :
(4x+5) • (5x-3)
Which is the desired factorization</span>Final result :<span> (5x - 3) • (4x + 5)
</span>
According to Pythagoras theorem
a^2+b^2=c^2
similarly ,
3^2+ 4^2= 5^2
9+16=25
25=25
LHS=RHS
so angle of triangle is 30 , 60 and 90
answer is 3,4,5
Answer:
1733.28
Step-by-step explanation:
we want to find the surface area of the cylinder
We are given:
diameter = 12in
height = 40in
formula to find surface area of a cylinder: SA = 2πr^2 + 2πrh (where h = height and r = radius)
in order to find the SA of a cylinder we need to know the radius
we are given that the diameter is 12
we can acquire the measure of the radius by dividing the diameter by 2 ( this is because the radius is equal to half of the diameter )
so r = 12/2 = 6
now to find the surface area,
we simply plug in the values of the radius and height into the SA of a cylinder formula
SA = 2πr^2 + 2πrh
r = 6
h = 40
( note it says use 3.14 for π )
substitute values
SA = 2(3.14)(6)^2 + 2(3.14)(6)(40)
if you plug this into a calculator you get that the surface area is 1,733.28
Answer:
Explanation:
(49 x 17) + (49 x 3)
833 + 147 = 980