Answer:
m∠DBF = 92°
Step-by-step explanation:
The given statements tell you that points E and F are midpoints of their respective sides of the triangle. Hence EF is parallel to AB and ...
ΔABC ~ ΔEFC
That means ∠DBF ≅ ∠EFC and their measures are 92°.
Answer:
5(2x-8)+15=-15
10x-40+15=-15
10x-25=-15
+25 +25 (add 25 to both sides)
____________
10x=10
divide by 10 on both sides
x=1
Answer:
The American population was 20% of the British population.
Step-by-step explanation:
Let us call
the american population,
the British population before the migration, and
the population that migrated from America to Britannia.
Now, the population
that migrated was 20% of the american population:
,
and the same population
increase the British population by 4%:

Combining equation (1) and (2) we get:



Thus, the American population was 20% of the British population.
The lines are parallel that mean that they both have a slope of 2
Answer:
HCF = 33.
Step-by-step explanation:
99 = 3*3*11
165 = 3*5*11
3 and 11 are common so the HCF = 3*11
= 33.