Its the first one for all three of the questions
Answer:
x=7.5
Step-by-step explanation:
To show that the triangles are similar, we simply need to show that all sides are proportionate.
So, we create a proportion

Then we plug in the values

and
can be simplified to
, so that is our ratio of similarity
then we know

Now solve
1. Cross multiply
2×(2x-5) = 22
2. Distribute
4x-8 = 22
4x=30
x=7.5
There is your answer, x=7.5
Hope this helped.
Answer:
angle plm+angle lpm+angle pml=180°[by angle sum property]
21°+angle lpm+38°=180°
59°+ lpm=180°
lpm=180°-59°
lpm=121°
lpm+npl=180°[by limear pair]
121°+npl=180°
npl=180°-121°
npl=59°
2.875 is 69/24 as a terminating decimal