Answer:
<em>m<ZXY - m<WXZ = m<WXY
</em>
Step-by-step explanation:
given:
point Z is in the interior of <WXY creating XZ.
<em>if m<WXZ = 20
</em>
<em> m<WXY = 100
</em>
find:
what would equation would you set up to find the missing angle measure?
solution:
<em>Since Z is interior of <WXY
</em>
<em>
m<ZXY - m<WXZ = m<WXY
</em>
<em><WXY = 100 - 20 = 80°
</em>
therefore, the equation would be <em>m<ZXY - m<WXZ = m<WXY </em>
Answer:
The largest possible group size is 3 students.
Step-by-step explanation:
The greatest common factor (GCF) of the numbers 18, 24, and 27 is 3. That is, the largest number that can be divided into all three numbers.
I really don't know just say its o
<u>Solution-</u>
Given that,
In the parallelogram PQRS has PQ=RS=8 cm and diagonal QS= 10 cm.
Then considering ΔPQT and ΔSTF,
1- ∠FTS ≅ ∠PTQ ( ∵ These two are vertical angles)
2- ∠TFS ≅ ∠TPQ ( ∵ These two are alternate interior angles)
3- ∠TSF ≅ ∠TQP ( ∵ These two are also alternate interior angles)
<em>If the corresponding angles of two triangles are congruent, then they are said to be similar and the corresponding sides are in proportion.</em>
∴ ΔFTS ∼ ΔPTQ, so corresponding side lengths are in proportion.

As QS = TQ + TS = 10 (given)
If TS is x, then TQ will be 10-x. Then putting these values in the equation



∴ So TS = 3.85 cm and TQ is 10-3.85 = 6.15 cm