Ok what's your quit-ionbro I will help
Answer:
80 units
Step-by-step explanation:
When a figure is dilated by 2, its side measurements are halved. The figure you're seeing shows the quadrilateral <em>after </em>dilation (we can tell by the apostrophes); if U'R' is 40, UR will have to be 80.
We name angles in three different ways:
(1) We can name angles by using THREE capital letters like: ABC or DEF. The middle letter is called the VERTEX of the angle. The above angles are read "angle ABC" and "angle DEF." This leads us to the second way we can name angles.
(2) We can name angles by using the vertex. For example, ABC, can also be called angle B; the same applies to DEF (we can call angle DEF angle E). Of course, if there's more than one angle sharing the same vertex this would be confusing!
(3) We can also name an angle by placing any number or symbol at the vertex in the INTERIOR of the angle. So, angles can also be called angle 1 or angle 2 or angle 4, etc.
Answer:
Step-by-step explanation:
we know that
To get the 10% discount, a shopper must spend at least $200
so
Let
d ------> represent the spending (in dollars) of a shopper who gets the discount
therefore
The value of d must be greater than or equal to $200
3) x² - 121 = 0
x² = 121
x' = +√121
x' = 11
_______________
x'' = - √121
x'' = -11
Solution ⇒ S{-11 ; 11 } or (x-11)(x+11)
4) 4x² + 144 = 0
4x² = -144
x² = -144 / 4
x² = -36
x = √-36
No solution ⇒ S = ∅
5) z²+10z+21 = 0
Δ = 10² - 4(1)(21)
Δ = 100 - 84
Δ = 16
x' = (-10+4) / 2 = -6/2 = -3
x'' = (-10-4) / 2 = -14/2 = -7
Solution ⇒ S{ -7 ; -3} or (x+3)(x+7)
