the answer is 0.56, because there’s 56 shades squares.
Explanation: there’s 100 squares, 56 are shaded 56/100.
Answer:
NF = 25
Step-by-step explanation:
Since ∆NKF ~ ∆LZF, the ratio of their corresponding side lengths would also be the same.
This means that:
KF/ZF = NF/LF
KF = x + 3
ZF = 4
NF = 15 + x + 3 = x + 18
LF = x + 3
Plug in the values into the equation
(x + 3)/4 = (x + 18)/(x + 3)
Cross multiply
(x + 3)(x + 3) = (x + 18)(4)
x² + 3x + 3x + 9 = 4x + 72
x² + 6x + 9 = 4x + 72
x² + 6x + 9 - 4x - 72 = 0
x² + 2x - 63 = 0
Factorize to find x
x² + 9x - 7x - 63 = 0
x(x + 9) -7(x + 9) = 0
(x + 9)(x - 7) = 0
x + 9 = 0 or x - 7 = 0
x = -9 or x = 7
We'd use the positive value of x, which is 7.
Therefore, x = 7.
✅NF = 15 + (x + 3)
Plug in the value of x
NF = 15 + (7 + 3) = 15 + 10
NF = 25
Answer:
Claim 2
Step-by-step explanation:
The Inscribed Angle Theorem* tells you ...
... ∠RPQ = 1/2·∠ROQ
The multiplication property of equality tells you that multiplying both sides of this equation by 2 does not change the equality relationship.
... 2·∠RPQ = ∠ROQ
The symmetric property of equality says you can rearrange this to ...
... ∠ROQ = 2·∠RPQ . . . . the measure of ∠ROQ is twice the measure of ∠RPQ
_____
* You can prove the Inscribed Angle Theorem by drawing diameter POX and considering the relationship of angles XOQ and OPQ. The same consideration should be applied to angles XOR and OPR. In each case, you find the former is twice the latter, so the sum of angles XOR and XOQ will be twice the sum of angles OPR and OPQ. That is, angle ROQ is twice angle RPQ.
You can get to the required relationship by considering the sum of angles in a triangle and the sum of linear angles. As a shortcut, you can use the fact that an external angle is the sum of opposite internal angles of a triangle. Of course, triangles OPQ and OPR are both isosceles.
Answer:
The tree was 40 in tall when planted
The tree's growth rate is 10in per year
Ten years after Planting, it is 140 inches tall
Step-by-step explanation:
original(slope intercept form) : y = 10x + 40
y = 10(10) + 40
y = 100 + 40
y = 40
Answer: OPTION D.
Step-by-step explanation:
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The compete exercise is: "James used substitution to solve this system of equations. Which could be the result of his first step</h3><h3>
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Given the sytsem of equations:
1- Solve for one of the variables from any equation and substitute it into the other equation.
2- Solve for the other variable in order to get its value.
3- Substitute this value back into one of the original equations. and find the value of the other variable.
In this case youu can observe that the second equation is already solved for "y", therefore, in order to use the Substitution Method, the first step is: Substitute the second equation into the first one.
Therefore, the equation that could be the result of James' first step is:
