In the roof truss shown, AB = 8 and m/_HAF = 37^(circ). Find: m/_ADB. (HINT: The design of the roof truss displays line symmetry.) 12210203661.jpg

For each of the following congruences, find all integers N, with N>1, that make the congruence true.
$6\equiv 60(modN)$.

To decide: Whether the given information is enough to prove that ${\displaystyle \mathrm{△}WXZ\stackrel{\sim }{=}\mathrm{△}YZX}$ using SAS Congruency Theorem. If so write a proof if not then explain the reason.
Given:
The given figure is as follows.

Is there an analog to the SSS triangle congruence theorem for quadrilaterals?

The value of the operation [5][12] in ${\displaystyle Z_8}$ and to write the answer in the form [r] with ${\displaystyle 0\le r<m}$.

Find all whole number solutions of the congruence equation.
${\displaystyle (2x+1)\equiv 5\text{mod}4}$

To determine:The check digit of an ISSN that has these initial 7 digits 1553-734

Write a paragraph proof.
Given: ${\displaystyle \overline{AD}\text{and}\overline{EC}}$ intersect at B.
Prove: ${\displaystyle \mathrm{△}ABE\sim \mathrm{△}DBC}$