Triangles A B C and T P Q are shown. Sides A C and T Q are congruent. Angles B C A and P Q T are congruent. Which statements are true about additional information for proving that the triangles are congruent? Select two options.

If AngleA ≅ AngleT, then the triangles would be congruent by ASA.
If AngleB ≅ AngleP, then the triangles would be congruent by AAS.
If all the angles are acute, then the triangles would be congruent.
If AngleC and AngleQ are right angles, then triangles would be congruent.
If BC ≅ PQ, then the triangles would be congruent by ASA.

What is the least common multiple of 6 and 17?

The ivring berlin learning center would like a possible net profit of $650,000 on its new resource manual it sells to schools. the fixed costs for producing the manual are $780,000 and the variable cost per package is $19.85. if the estimated unit sales are 1,250,000 units, what selling price unit should the ivring berlin learning center try?

Titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and always with ice. when he starts his shift, the water level shows 4 gallons, or 128 cups of water. as the shift progresses, he records the level of the water every 10 minutes. after 2 hours, he uses a regression calculator to compute an equation for the decrease in water. his equation is w –0.414t + 129.549, where t is the number of minutes and w is the level of water. according to the equation, after about how many minutes would the water level be less than or equal to 64 cups?