Answer: 2029
Step-by-step explanation:
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Answer:
D) Angle DAC is congruent to Angle BAC
Step-by-step explanation:
Given:
The triangles ABC and ADC are congruent by SAS postulate.
SAS postulate means two corresponding sides are congruent to each other and the included pair of angles are also congruent to each other.
From the figure, consider the triangles ABC and ADC.
AB = AD (Given)
AC = AC ( Reflexive property. Side AC is a common side to both triangles)
Now, the pair of angles included between these two pair of sides are angle BAC and angle DAC.
So, in order to prove the two triangles congruent by SAS postulate, we need to prove angle DAC congruent to angle BAC. Therefore, the correct option is option D.
Answer:
The value of the variable=13 meters
Step-by-step explanation:
Step 1
Express the dimensions of the pool
Length=7+x
width=6
Step 2
Express the area of a rectangle as shown;
A=L×W
where;
A=area of a rectangle
L=length of the rectangle
W=width of the rectangle
In our case;
A=120 m²
L=x+7
W=6
replacing in the equation;
120 m²=(x+7)×6
120=6 x+42
6 x+42=120
6 x=120-42
6 x=78
x=78/6
x=13
The value of the variable=x=13 meters
Answer:
6x-8
Step-by-step explanation:
you multiply 2*3x=6x then 4*2=8
therefore 6x-8=(3x-4)2
Answer:
2 11/14 squared feet
Step-by-step explanation:
Area of a rectangle = length x width
Give length = 3 1/4 and
Width = 3/4
Therefore,
Area = 3 1/4 x 3/4
Change the mixed size fraction to an improperly fraction
We have A = 13/4 x 3/4
39/14
2 11/14 squared feet