Answer:
a) <u>∡ADC = 270°</u>
b) <u>∠DAE = 38°</u>
Step-by-step explanation:
Using Inscribed Angle Theorem :
- ∡ADC = 2 x ∠ABC
- ∡ADC = 2 x 135°
- <u>∡ADC = 270°</u>
Similarly :
- ∠DAE = 1/2 x ∡DE
- ∠DAE = 1/2 x 76°
- <u>∠DAE = 38°</u>
Answer:
x<1
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
AB = 1 unit
A'B' = 3 units
The scale of dilation = A'B'/AB
Therefore:
scale of dilation = 3 units / 1 unit = 3
This means that ABC was dilated or enlarged in size by multiplying every of its segment by 3. In essence, A'B'C' is 3 times the size of ABC.
Answer:
f-¹(x) = (4- x)/ 3
Step-by-step explanation:
inverse of a function is nothing but the value of x in terms of f(x)
like
if we write f(x) as y we'd get
y = - 3x + 5
so, ill express x in terms of y:-
y= -3x + 4
- adding 3x on both sides of the equation
y + 3x = -3x + 3x + 4
- subtracting y on both sides
y - y + 3x = 4 - y
3x = 4 - y
- dividing the whole equation by 3
x = (4 - y)/ 3
soo, the inverse of the function is x = (4- y)/ 3
mostly we write the inverse in terms of x, hey! don't get confused, when i say this, I simply mean that we're gonna replace y with x and x with f-¹(x).
therefore,
f-¹(x) = (4- x)/ 3
Answer:
Increases, increase
Step-by-step explanation:
Density is M×V, meaning if one goes up and one stays the same, it goes up.