In the diagram, the length of segment BC is 23 units. What is the length of segment DC? 3 units 8 units 13 units 33 units
2 answers:
Answer:
The length of segment DC is 33 unit.
Step-by-step explanation:
As given
The length of segment BC is 23 units.
As given in the figure .
AB = 2x + 7
AB = BC
2x + 7 = 23
2x = 23 - 7
2x = 16
x = 8
In the Δ ABD and ΔCBD
(1) AB = BC
(As given in the figure.)
(2) ∠DBA = ∠DBC = 90°
(3) BD = BD
(Common side of both the triangle.)
Thus by using SAS congurence property .
Δ ABD ≅ ΔCBD
Thus
AD = DC
(Corresponding sides of the congurent triangle.)
Thus
AD = 4x + 1
Put x = 8
AD = 4 × 8 + 1
= 32 + 1
= 33 unit
Thus AD = DC = 13 unit
Therefore the length of segment DC is 33 unit.
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Given
A) The angles A and B are supplementary.
If,
B) The figure,
To find
A) The value of x.
B) The value of x.
Explanation:
A) It is given that,
Angle A and angle B are supplementary.
Then,
Hence, the error is in the statement,
Since the angles are supplementary, when added together they equal 90.
As, the correct answer is when added together they equal 180.
That implies,
Hence, the value of x is 18 degrees.
B) It is given that,
From, the figure the given angles are interior angles.
Also, the interior angles on the same side of the transversal is supplementary.
Which means when you add them they equal 180.
Hence, the error is in the statement,
Since the angles are adjacent, they are complementary angles.
Which means when you add them they equal 180.
As, the angles are interior angles on the same side of the transversal.
Also,
Hence, the value of x is 116 degrees.
Answer:
= 12
Step-by-step explanation:
area of a rectangle = width x length
Given:
- area = 44 m²
- width = 3 2/3 m
- length =
m
Substitute given values:
area of a rectangle = width x length
⇒ 44 = 3 2/3 x
⇒ = 44 ÷ 3 2/3
⇒ = 12