Answer:
Y= 20
X= 25
Step-by-step explanation:
The angles of a triangle have to equal 180
So
80+60 = 140
180 - 140 = 40
40/2 = 20
Y = 20
The angles of a linear line split equal 180
So
2y is one side of it which we learned Y = 20 which makes that side 40
To find the other side just guess and check
6(25) = 150
150 - 10 = 140
So the 2y = 40 and the (6x-10) = 140
So yea boom done
<span>You can probably just work it out.
You need non-negative integer solutions to p+5n+10d+25q = 82.
If p = leftovers, then you simply need 5n + 10d + 25q ≤ 80.
So this is the same as n + 2d + 5q ≤ 16
So now you simply have to "crank out" the cases.
Case q=0 [ n + 2d ≤ 16 ]
Case (q=0,d=0) → n = 0 through 16 [17 possibilities]
Case (q=0,d=1) → n = 0 through 14 [15 possibilities]
...
Case (q=0,d=7) → n = 0 through 2 [3 possibilities]
Case (q=0,d=8) → n = 0 [1 possibility]
Total from q=0 case: 1 + 3 + ... + 15 + 17 = 81
Case q=1 [ n + 2d ≤ 11 ]
Case (q=1,d=0) → n = 0 through 11 [12]
Case (q=1,d=1) → n = 0 through 9 [10]
...
Case (q=1,d=5) → n = 0 through 1 [2]
Total from q=1 case: 2 + 4 + ... + 10 + 12 = 42
Case q=2 [ n + 2 ≤ 6 ]
Case (q=2,d=0) → n = 0 through 6 [7]
Case (q=2,d=1) → n = 0 through 4 [5]
Case (q=2,d=2) → n = 0 through 2 [3]
Case (q=2,d=3) → n = 0 [1]
Total from case q=2: 1 + 3 + 5 + 7 = 16
Case q=3 [ n + 2d ≤ 1 ]
Here d must be 0, so there is only the case:
Case (q=3,d=0) → n = 0 through 1 [2]
So the case q=3 only has 2.
Grand total: 2 + 16 + 42 + 81 = 141 </span>
Distance = √(x₂-x₁)² + (y₂-y₁)²
d = √(-11-(-11)) + (5-(-20))²
d = √0² + 25²
d = √625
d = 25
In short, Your Answer would be 25 units
Hope this helps!
Answer:
BOOOOOOOOOOOOOOOOOOOOOOMER
Step-by-step explanation:
Answer:
Option A)724 square centimeters
Step-by-step explanation:
we know that
The surface of the prism is equal to the area of its six rectangular faces
The surface area is equal to

where
B is the area of the base
P is the perimeter of the base
H is the height of the prism
we have



<em>Find the area of the base B</em>


<em>Find the perimeter of the base P</em>


<em>Find the surface area SA</em>
