Answer:
Step-by-step explanation:
Area of circle = 56 cm²
πr² = 56
3.14r² = 56
r²=56/3.14
r²= 17.83
r = √17.83
r = 4.22 cm
The diameter of the circle = diagonal of the square
Diagonal of the square = 2 * 4.22 = 8.44 cm
x² + x² = 8.44²
2x² = 71.2336
x² = 71.2336/2
x² = 35.6168
x = 5.967 cm
Answer:
D. (3, -2)
Step-by-step explanation:
The point where both lines meet is the solution to the system of equations.
Answer:
1.5
Step-by-step explanation:
Assuming that you mean that Simon is scaling Logan's build, the scale factor is 1.5.
To find this, you divide Simon's fort height by Logans.
7.5/5 = 1.5.
<span>Let's say you divide 25 by 4. You will get a quotient 6, but have that remainder of 1. You could also divide 37 by 6, and likewise get a quotient of 6, with a remainder of 1. The difference is that the remainders are not truly the same. The first remainder is 1 part out of 4, but the second remainder is 1 part out of 6</span>
The complete proof statement and reason for the required proof is as follows:
Statement Reason
m<PNO = 45 Given
MO Given
<MNP and <PNO are a
linear pair of angles Definition of linear pairs of angles
<MNP and <PNO are
supplementary angles Linear Pair Postulate
m<MNP + m<PNO = 180° Definition of supplementary angles
m<MNP + 45° = 180° Substitution property of equality
m<MNP = 135° Subtraction property of equality
