Answer:
answer correctly definition.
Step-by-step explanation:
When something is correct, it is right or accurate. The correct answer to a problem is the right answer, so if you answered to a problem right, you answered it correctly.
Answer:
6:8 x2
9:12 x3
12:16 x4
15:20 x5
Step-by-step explanation:
Just multiply both of the number by the same number and you will find an equavilant ratio.
Hope this helps!
*I also added a few different answers so it can give you a clear idea.
Answer:
27
Step-by-step explanation:
Number of member of staff that drank tee = total number of member of staff - number that drank coffee - number that drank both tea and coffee
100 - 48 - 25 = 27 members of staff
Answer:
Option D - Stretched by a factor of 2, reflected over the y-axis, and translated 9 units left.
Step-by-step explanation:
Given : The function ![y=\sqrt{-4x-36}](https://tex.z-dn.net/?f=y%3D%5Csqrt%7B-4x-36%7D)
To find : Which of the following describes the graph of
compared to the parent square root function?
Solution :
First we simplify the given expression
![y=\sqrt{-4x-36}](https://tex.z-dn.net/?f=y%3D%5Csqrt%7B-4x-36%7D)
![y=\sqrt{4(-x-9)}](https://tex.z-dn.net/?f=y%3D%5Csqrt%7B4%28-x-9%29%7D)
→When we see the original square root function minus was taken outside x and 9 was added from x and 2 was multiplied to the entire function.
- Multiplying 2 in the function will give you the stretched by a factor of 2.
shows the reflection about y-axis i.e, (x,y)→(-x,y).
- If f(x)→f(x+b) then function is shifted left by unit b
⇒ g(x))→g(x+9) then function is shifted left by unit 9
Therefore, The graph of was stretched by a factor of 2, reflected over the y-axis, and translated 9 units left to obtain the graph of the function .
So, Option D is correct.
Answer:
a) ∠2 and ∠4 are a linear pair
∠4 = 115°
b) ∠2 and ∠7 are alternate exterior angles
∠7 = 65°
c) ∠2 and ∠3 are vertical angles
∠3 = 65°
Step-by-step explanation:
Linear pair : a pair of adjacent angles formed when two lines intersect. The two angles of a linear pair are always supplementary (two angles whose measures add up to 180°)
Alternate exterior angles : when two parallel lines are cut by a transversal (a line that intersects two or more other, often parallel, lines), the resulting alternate exterior angles are <u>congruent</u>.
Vertical angles : a pair of opposite angles formed by intersecting lines. Vertical angles are always <u>congruent.</u>
a) ∠2 and ∠4 are a linear pair
⇒ ∠2 +∠4 = 180
⇒ 65 + ∠4 = 180
⇒ ∠4 = 180 - 65
⇒ ∠4 = 115°
b) ∠2 and ∠7 are alternate exterior angles
⇒ ∠2 ≅ ∠7
⇒ ∠7 = 65°
c) ∠2 and ∠3 are vertical angles
⇒ ∠2 ≅ ∠3
⇒ ∠3 = 65°