Answer:
Step-by-step explanation:
In a rectangle, diagonals are equal and bisect each other
BE = AE
6x - 5 = 2x + 7
6x - 2x - 5 = 7
4x - 5 = 7
4x = 7 + 5
4x = 12
x = 12/4
x = 3
AE = 2x + 7
= 2*3 + 7
= 6 + 7
AE = 13
AC = 13 + 13
AC = 26
m∠EBC = 50
In rectangle, each angle is 90
m∠ABE + m∠EBC = 90
m∠ABE + 50 = 90
m∠ABE = 90 - 50
m∠ABE = 40
In rectangle, AB // DC and DB transversal
m∠ECD = m∠ABE { alternate interior angles}
m∠ECD = 40
Answer:
11) 14 and 11
Step-by-step explanation:
i can't help in number 12 , sorry !
Answer:
-7/24 = r
Step-by-step explanation:
3/8 = r + 2/3
Subtract 2/3 from each side
3/8-2/3 = r + 2/3-2/3
3/8 - 2/3 = r
Get a common denominator or 24
3/8 *3/3 - 2/3 *8/8 =r
9/24 - 16/24 =r
-7/24 = r
Answer:
x=0.5 and y=5
Step-by-step explanation:
8x+7y=39...eqn(1)×-14
4x-14y=-68...eqn(2)×7
we now have,
-112x-98y=-546
-(28x-98y=-476)
-140x÷-140 =-70÷-140
x=0.5
to solve for y, we substitute (x=0.5) into eqn (1) or eqn 2 which ever you want...
so I'm using eqn 1.
8x+7y=39
8(0.5)+7y=39
7y=39-4
7y÷7=35÷7
y=5
therefore, x=0.5, y=5
proof: substitute both x and y values to get you the same answer as the original solutions in both equations.
we have,
8(0.5)+7(5)=39
4(0.5)-14(5)=-68
