Answer:
D
Step-by-step explanation:
Δ CED and Δ CAB are similar thus the ratios of corresponding sides are equal, that is
= 
, substitute values
= 
= 
( cross- multiply )
12x = 156 - x ( add x to both sides )
13x = 156 ( divide both sides by 13 )
x = 12
Thus
AC = 156 - x = 156 - 12 = 144 → D
<h3>
Answer: SAS</h3>
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How to get this answer:
We're told that AD = BC, so that is one pair of sides that are congruent. This forms the first "S" in "SAS"
The "A" refers to the congruent angles, which happen to be angle DAB and angle CBA, both are 90 degrees
The second "S" in "SAS" is the second pair of congruent sides. Those two sides are the overlapping shared side of AB. It might help to peel the two triangles apart to get a better look.
Note how the angles are between the two pairs of sides mentioned.
Step-by-step explanation:
5.
=5.3^2.5^4.x^6=3^2.5^5.x^6
Answer:
b = 3 units
Step-by-step explanation:
Area of a parallelogram = base × height
Thus,
Area = 21 units²
base = b
height = 7
Plug in the value into the formula
Thus:
21 = b × 7
Divide both sides by 7
21/7 = b
3 = b
b = 3 units
