3 years ago

In the figure below, TRS = RTU and SR = UT. Which of the following triangle congruence criteria proves that TRS = RTU

Mathematics

2 answers:

Studentka2010 [4]3 years ago

7 0

Answer:

Step-by-step explanation:

andrew-mc [135]3 years ago

6 0

Answer:

B. side-angle-side

Step-by-step explanation:

You are given that side SR matches its counterpart; angle SRT matches its counterpart; and you know side ST matches its counterpart, because they are the same segment.

Hence, you have two matching sides and the angle between them. This set of side-angle-side lets you invoke the theorem that matches that name.

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Find in degrees the numeric value of the acute angle of rotation that eliminates the product term from the equation 7x2+24xy−34x

lutik1710 [3]

Rotating the graph of $Ax^2+Bxy+Cy^2+Dx+Ey+F=0$ with $B\ne0$ counterclockwise by $\theta$ eliminates the $xy$ term, where $\cot2\theta=\frac{A-C}{B}.$ Plugging in, we have $\cot2\theta=\frac{7}{24},$ since $C=0.$ Solving, we have $\theta=\frac{1}{2}\cot^{-1}(\frac{7}{24})\approx\boxed{36.9^\circ}.$