Please help me it’s very important Two right triangles will be congruent under a variety of scenarios besides HL. One of which is the following:

If the hypotenuse and an acute angle of one right triangle are equal, respectively, to the hypotenuse and an acute angle of another, then the right triangles are congruent. (Use the two triangles below, mark them up and then
decide on which congruence theorem will prove that the two are congruent (SAS, SSS, ASA, AAS or HL).

Explain why this must be true.

Atechnician compares repair costs for two types of microwave ovens (type i and type ii). he believes that the repair cost for type i ovens is greater than the repair cost for type ii ovens. a sample of 6767 type i ovens has a mean repair cost of $79.79$⁢79.79. the population standard deviation for the repair of type i ovens is known to be $19.18$⁢19.18. a sample of 5555 type ii ovens has a mean repair cost of $75.24$⁢75.24. the population standard deviation for the repair of type ii ovens is known to be $21.40$⁢21.40. conduct a hypothesis test of the technician's claim at the 0.050.05 level of significance. let μ1μ1 be the true mean repair cost for type i ovens and μ2μ2 be the true mean repair cost for type ii ovens. step 2 of 4 : compute the value of the test statistic. round your answer to two decimal places.