Maple grove wants to include two types of maple trees, the namesake of the city, for their parks. Two varieties of maple trees have been selected. One variety costs $85 per tree; the other, more colorful variety, costs $95 per tree. The tree budget must not exceed $95,000. Citizens want more of the colorful variety $95 trees than the others if possible. Which system of inequalities represents this situation? 85x+95y≥ 95,000 x≥y
85x+95y≤ 95,000 x≤y
85x+95y≥ 95,000 x≤y
85x+95y≤ 95,000 x≥y

Describe a situation that you could represent with the inequality x< 17

The coordinates of vortex a’ are (8,4) (-4,2) (4,-,4) the coordinates of vortex b’ are (6,6)(12,-,12)(12,12) the coordinates of vortex c’ are(-2,,12)(4,12)(12,-4)

Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality