Answer:
x = -25/3
Step-by-step explanation:
The equation simplifies to -3x - 25 = 0, so
-3x = 25 =>
x = -25/3
Answer:
19.0681
Step-by-step explanation:
Given in the question that,
angle from ted to the dog = 60° with the ground
height of ted from the ground = 16ft
To find,
distance between dog and the door of ted's building
Considering the scenario make a right angle triangle:
<h3>By using pythagorus theorem:</h3>
Tan 40 = opposite / adjacent
Tan 40 = height / distance between dog and the door
Tan 40 = 16ft / x
x = 16 / tan40
x = 19.068057
x ≈ 19.0681 (nearest to thousand)
So, the dog need to walk 19.0681ft to reach the open door directly below Ted.
the cost of ketchup is $3.53 & mustard is $0.63 .
<u>Step-by-step explanation:</u>
Here we have , Brianna bought 3 bottles of ketchup and 2 bottles of mustard for $11.85. Logan bought 3 bottles of ketchup and 5 bottles of mustard for $13.73. We need to find the cost of each. Let's find out :
Let cost of ketchup be x and mustard be y than ,
Brianna bought 3 bottles of ketchup and 2 bottles of mustard for $11.85
We have following equation ,
⇒ 
..........(1)
Logan bought 3 bottles of ketchup and 5 bottles of mustard for $13.73
We have following equation ,
⇒ 
........(2)
Now , (2) - (1) , i.e.
⇒ 
⇒ 
⇒ 
Putting value of y in (1) :
⇒ 
⇒ 
⇒ 
Therefore , the cost of ketchup is $3.53 & mustard is $0.63 .
Answer:
b. quadratic
Step-by-step explanation:
Quadratic models are used to model certain real-world situations such as: 1) Values decrease then increase 2) Values increase and then decrease 3) Values depending on surface area.
Answer:
ntersecting lines DA and CE.
To find:
Each pair of adjacent angles and vertical angles.
Solution:
Adjacent angles are in the same straight line.
Pair of adjacent angles:
(1) ∠EBD and ∠DBC
(2) ∠DBC and ∠CBA
(3) ∠CBA and ∠ABE
(4) ∠ABE and ∠EBD
Vertical angles are opposite angles in the same vertex.
Pair of vertical angles:
(1) ∠EBD and ∠CBA
(2) ∠DBC and ∠EBA
