Angles PQT and RQS are vertical angles and angles PQR and TQS are vertical angles.
angle PQS and TQR are straight angles
angles TQP and PQR form a linear pair. they are also adjacent by default. the other angles have these same features.
that should bout do it. hope it helped!
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Answer:</h2><h2>
The 97th term in the series is 409</h2>
Step-by-step explanation:
The given sequence is 25, 29, 33, ....
The sequence represents arithmetic progression
In an AP, the first term is a1 = 25
The difference between two terms, d = 29 - 25 = 4
To find the 97th term,
By formula, 
Substituting the values in the above equation, we get

= 25 + (96 * 4)
= 25 + 384
= 409
The 97 th term in the given sequence is 409.
Answer:
The correct option is 3. The length of XC is 30.
Step-by-step explanation:
It is given that triangle ABC and triangle XYC are similar.
According to the properties of similar triangles, then corresponding sides of similar triangles are congruent.
In triangle ABC and triangle XYC,

Let the length of XC be x.
From the below figure it is notices that






Therefore correct option is 3. The length of XC is 30.
Answer:
12
Step-by-step explanation:
5.77
By 0.07
Because if you subtract 0.07 from 5.77, you get 5.7, so it must be smaller.