Answer:
The pair of triangles that are congruent by the ASA criterion isΔ ABC and Δ XYZ.
The pair of triangles that are congruent by the SAS criterion is Δ BAC and ΔRQP.
Step-by-step explanation:
Two triangles are congruent by ASA property if any two angles and their included side are equal in both triangles .In triangles Δ ABC and Δ XYZ the equal side 5 is between the two equal angles. So these triangles are congruent by ASA criterion.
Two triangles are congruent by SAS if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle .In triangles Δ BAC and ΔRQP. the included angles A and Q are equal and hence the triangles are congruent by SAS criterion.
Answer: 6
Step-by-step explanation:
The formula for the law of sines is:
sin(A)/a = sin(B)/b = sin(C)/c
Big letters denote angle measures while smaller letters denote side lengths.
Answer:
Millions
Step-by-step explanation:
Expression
(5+3)+(5x2)=p
Solution
18
(Step-by-Step)
In this expression we simply have to use basic PEMDAS (Parenthesis Equation Multiplication Division Addition Subtraction) Order.
We start by working out the parenthesis
5 + 3 and 5 x 2
First let's work out our metal and wood paperweights
5+3=8
Simple enough, we have 8 metal AND wood paperweights
Now we have to work out our glass paperweights.
We have twice as many glass as we do metal PW's meaning we need to multiply the 5 metal paperweights by 2
5x2=10
This simplifies and boils our equation down to
8+10
simply solve and add the two and you have your answer
18