. Spencer and his good buddy Preston are both mechanics at a shop that does oil changes. They are in a friendly competition to see who can complete the most oil changes in one day. Spencer has already finished 8 oil changes today and can complete more at a rate of 3 oil change per hour. Preston just came on shift and can finish 5 oil changes every hour. 6. Write an equation that can be used to find the number of hours (h) it will take for the two buddies to complete the same number of oil changes.

answer: h

step-by-step explanation:

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.

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step-by-step explanation:

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft