Answer:
The statement that is not true is;
c) m∠ABO = m∠ODC
Step-by-step explanation:
With the assumption that the lengths AO, and OD are equal, we have that in ΔABO and ΔOCD, the following sides are corresponding sides;
Segment AO on ΔABO is a corresponding side to segment OD on ΔOCD
Vertices B and C on ΔABO and ΔOCD are corresponding vertices
Therefore;
Segments AB and OB on ΔABO are corresponding sides to segments OC and OD on ΔOCD respectively
Therefore, ∠ABO on ΔABO is the corresponding angle to ∠OCD on ΔOCD
Given that ΔABO ≅ ΔOCD, we have that ∠ABO ≅ ∠OCD
Therefore;
m∠ABO = m∠OCD by definition of congruency
X=120
This is the answer because 120-21=99
Answer:
12
Step-by-step explanation:
We know that AD=BC and that AB=CD. We also know the perimeter of the rectangle ABCD to be 54 units.
From this, we can add up the sides which will be equal to 54 units.
AD+BC+AB+CD=54
2x+2x+3x-3+3x-3=54
10x=60
x=6
Since we are trying to find the length of side BC we substitute this value back into 2x.
BC=2x =2*6=12
Therefore, the length of BC is 12 units.
Answer:
15.6 inches
Step-by-step explanation:
Here we want to find the length of the missing side
Mathematically, we can use Pythagoras’ theorem
The theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides
Let the missing side be x
18 is the side that faces right angle and this is the hypotenuse
Thus, we have ;
x^2 + 9^2 = 18^2
x^2 = 324 - 81
x^2 = 243
x = √(243)
x = 15.6 in
