The ratio between the lengths of 2 rectangles is the same between their perimeters
Since the ratio between the length of rectangle A and the length of rectangle B is 7: 3, then
The ratio between the perimeter of rectangle A to the perimeter of rectangle B is 7: 3 too
Since the perimeter of rectangle A is 540, then
We will write them as a fraction
By using the cross multiplication
Divide both sides by 7
Round it to the nearest tenth
The perimeter of the smaller rectangle B is 231.4 inches
Answer:
a. ∆EGF ≅ ∆EGD
Step-by-step explanation:
Congruent triangles would have the same side lengths and the same measure of angles.
From the figure given:
EG in ∆EGF ≅ EG in ∆EGD
GF in ∆EGF ≅ GD in ∆EGD, also
EF ≅ ED.
The three angles in ∆EFG are also congruent to the three angles in ∆EGD.
Therefore, ∆EGD is congruent to ∆EGF.
∆EGF ≅ ∆EGD
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Exact Form:
2
+
5
√
6
2
+
5
6
Decimal Form:
14.24744871
…
Answer:
Both methods give 1/(12x + 32)
Step-by-step explanation:
Given 1/4(x + 2x + 16 - 8)
First Method.
Summing the like terms of the quantities in the denominator we are building, then multipying the root by 4.
Adding like terms in the denominator
1/4(x + 2x + 16 - 8) = 1/4(3x + 8)
Multiply denominator byv4
= 1/(12x + 32)
Second Method.
Multiply the quantities in the denominator by 4, and add the like terms together.
Multiplying denominator by 4.
1/4(x + 2x + 16 - 8) = 1/(4x + 8x + 64 - 32)
Adding like terms in denominator.
= 1/(12x + 32)
The answer is P-value > 0.10