It would approximately be $9.07
9514 1404 393
Answer:
15.8°
Step-by-step explanation:
The relationship between angle trig functions and sides of a right triangle is summarized in the mnemonic SOH CAH TOA. Here, we're given the side opposite the angle (the height of the deck), and the side adjacent to the angle (the horizontal distance). So, the applicable relation is ...
Tan = Opposite/Adjacent
tan(angle) = 1450/5128
Then the angle is found using the inverse tangent function:
angle = arctan(1450/5128) ≈ 15.8°
The angle of depression is about 15.8°.
Consider the given parallelogram KLMN.
Prove:
Statement Reason
1. Definition of parallelogram
2. Same Side interior angle theorem
3. Substitution property
4. Subtraction property of equality
Subtraction property of equality tells us that if we subtract some number from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same.
5. Angle Congruence Postulate
When two angles are equal, then they are said to be congruent by Angle congruence postulate.
Answer:
The numbers are 11 and 49.
Step-by-step explanation:
<em>x = 5y - 6 </em> This is just the first sentence written as an equation.
<em>x + y = 60</em> This is just the second sentence written as an equation.
<em>5y - 6 + y = 60</em> Substitute x for what you know it is equal to
<em>6y - 6 = 60</em> Collect like terms
<em>6y = 66</em> Add 6 to each side
<em>y = 11</em> Divide each side by 6
<em>x = 5 × 11 - 6 </em> Substitute y for what you know it is
<em>x = 55 - 6</em> Simplify by working out 5 × 11 = 55
<em>x = 49</em> Subtract 6 from 55 to get 49