X=2 or -7(answer choice A)
Answer:
<em>x = -2</em>
<em>y = -5</em>
Step-by-step explanation:
<u>Properties of a Parallelogram</u>
- Two pairs of opposite sides are parallel.
- Two pairs of opposite sides are equal in length.
- Two pairs of opposite angles are equal in measure
- The diagonals bisect each other.
- Adjacent angles are supplementary.
- Each diagonal divides the quadrilateral into two congruent triangles.
Each diagonal is divided into two measures expressed with variables. Since diagonals bisect each other:
y + 23 = -4y - 2. And
-2x + 6 = x + 12
Solve the first equation. Adding 4y:
5y + 23 = - 2
Subtracting 23:
5y = -25
Dividing by 5:
y = -5
Solve the second equation. Subtracting x and 6:
-3x = 6
Dividing by -3:
x = -2
Solution:
x = -2
y = -5
9514 1404 393
Answer:
8
Step-by-step explanation:
The product of segment lengths to the near and far circle intersection points is the same for both "secants". AD is a tangent, so the two intersection points are the same point. This gives ...
AD² = AB·AC
144 = AB(AB +10)
We can add 25 to complete the square.
169 = (AB +5)² . . . write as a square
13 = AB +5 . . . . . . positive square root
8 = AB . . . . . . . . . .subtract 5
Answer:
48
Step-by-step explanation:
821 rounded down to 800
17 rounded up to 20
820/20 =41
20x41=820
17 x 41 = 697
17 x 51 = 867
Midpoints
697+867/2 = 782
41 +51/2 = 46
46 x 17 = 782
47 x 17 = 799
48 x 17 =816
49 x 17 =833
50 x 17 =850
So, the highest number is 48.
The closest we can get is 48 x 17=816 & without going over 821.
Answer:
Country A = 85, Country B = 29, Country C = 20
Step-by-step explanation:
A+B+C=134 ----- eq(1)
B=C+9 ------------ eq(2)
A=36+B+C ------ eq(3)
By substituting eq(2) in eq(3), we get:
A=36+C+9+C
A=2C+45 ------- eq(4)
Now substituting eq(2) & eq(4) in eq(1), we get
2C+45+C+9+C=134
4C+54=134
4C=134-54
4C=80
C=20
Now putting the value of C in eq(2),
B=20+9
B=29
Substituting the value of B & C in eq(1), we get:
A+29+20=134
A+49=134
A=134-49
A=85
