Answer:
AE = 43.2 units
Step-by-step explanation:
As per the given question image, it can be seen that in the
1.
2. is common to both the triangles.
3. Two angles are common, so the third angle is also equal to .
All the three angles in the are equal to each other, hence the triangles are similar.
As per the property of similar triangles, the ratio of their sides will be equal.
AB : AC = AE : AD
AC = 88 units
BC = 55 units
AB = AC - AB = 33 units
Let side AE = units
Side AD = AE + ED
So, AD =
Using the ratio:
So, AE = 43.2 units
Step-by-step explanation:
x+50 = 180 because asim circle
x =180-130
x=150
Answer:
x = 14 and x = - 7
Step-by-step explanation:
Not that + (- ) = -
(a)
x + (- 4) = 10, that is
x - 4 = 10 ( add 4 to both sides )
x = 14
(b)
2x - 10 = - 24 ( add 10 to both sides )
2x = - 14 ( divide both sides by 2 )
x = - 7
Answer:
45 horseshoe crabs and 45 sea stars
Step-by-step explanation:
The aquarium initially contained x crabs and x sea stars.
"After 15 horseshoe crabs and 27 sea stars are removed the ratio of horseshoe crabs to sea stars is 5:3"
(x-15):(x-27) = 5:3
(x-15)/(x-27) = 5/3
3(x-15) = 5(x-27)
3x-45 = 5x-135
90 = 2x
x = 45
Given statement is False, if a light cost $3, it could be either Green or Yellow.
Converse: If the light bulb was Yellow, then the cost was $3 = True
Contrapositive makes both statements negative and switches the order of the original statement.
So something like: If the light bulb is not yellow, then the cost would not be $3 = False because two colors cost the $3.
Inverse makes both statements negative but keeps the same order.
Something like : If the light bulb did not cost$3 then the light bulb was not yellow = False because two colors cost the $3.
