Answer + Step-by-step explanation:
1) D be the symmetric of B with respect to C then CD = BC
A the symmetric of C with respect to B then AB = BC
We obtain :
CD = BC
AB = BC
Then AB = CD
2) m∠SBA = 180 - SBC = 180 - SCB = m∠SCD
3) we have :
BA = CD
BS = CS
m∠SBA = m∠SCD
Then
the triangles SBA and SCD are congruent
4)
the triangles SBA and SCD are congruent Then SA = SD
Therefore SAD is an isosceles triangle.
Answer:
2. c) 1050 mm³
3. c) 8 yards.
Step-by-step explanation:
Given the following data;
Length = 25mm
Width = 7 mm
Height = 6 mm
To find the volume of the rectangular prism;
Volume of rectangular prism = base area * height
First of all, we would determine the base area;
Base area = length * width
Base area = 25 * 7
Base area = 175 mm²
Next, we find the volume;
Volume of rectangular prism = 175 * 6
Volume of rectangular prism = 1050 mm³
Question 2.
Given the following data;
Length = 9 yards
Width = 7.5 yards
Volume = 540 cubic yards
To find the height of the rectangular prism, x;
Volume of rectangular prism = length * width * height
540 = 9 * 7.5 * x
540 = 67.5x
x = 540/67.5
Height, x = 8 yards
Answer:
-Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x= -1/2
Decimal Form:
x=0.5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
The answer is 5 hope it helps
Answer:
2(3x+1)(x+1)
Step-by-step explanation:
First, we factor out the common term, which is 2.
2(3x²+4x+1)
Then, we factor the polynomial inside the parenthesis.
2(3x+1)(x+1)