When building a roof, carpenters put vertical boards every 2 feet along the horizontal baseline. The height of the boards, y, for the roof shown can be represented with the equation: y = 0.4x,
where x is the horizontal distance from the nearest corner. How far from the corner is the board that is 4 feet tall?

10 feet

Step-by-step explanation:

define variables:

y= height of the boards

x= distance to corner

we are trying to figure out what x is since we know the height of the board

4= 0.4x

divide both sides by 0.4

10=x

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.