Answer:
its n II m
Step-by-step explanation:
Its one of the things I remember from geometry XD
Ratios are simple if you know how. Simply put the two numbers next to each other with a : in between, then simplify.
Therefore, 5 flag stamps to 11 flower stamps has a ratio of 5:11. As both 5 and 11 are prime numbers, they cannot be simplified, so the answer is 5:11<span />
Answer:
The value of x in this case is 34°.
Step-by-step explanation:
Here, Lines TR and UP is intersecting lines at the point S.
⇒∠ TSU = ∠ PSR (VERTICALLY OPPOSITE ANGLES)
⇒ 4x = ∠ PSQ + ∠ QSR
= ∠ PSQ + 3x
⇒ ∠ PSQ = 4x - 3x = x
⇒ ∠ PSQ = x
Now, by The INTERIOR EXTERIOR ANGLES THEOREM In a TRIANGLE:
Sum of Two Interior angle of a triangle is equal to opposite exterior angle.
So, here in Δ PSR
∠ PSQ + ∠ SPQ = ∠ SQR
or, x + x = 68°
or, 2 x = 68°
⇒ x = 68/2 = 34°
Hence, the value of x in this case is 34°.
Find the length of each side of each triangle. if the corresponding sides are proportional, the two triangles are similar.
use the distance formula:
DE=√{[-3-(-1)]²+(-1-3)²}=√20=2√5
EF=√36=6
DF=√32=4√2
DG=√45=3√5
GH=√81=9
DH=√72=6√2
DE/DG=2/3
EF/GH=6/9=2/3
DF/DH=4/6=2/3
DE/DG=EF/GH=DF/DH=2/3
the corresponding sides are proportional, so the two triangles are similar.
