Answer:
Step-by-step explanation:
This is Isosceles triangle (look at the picture).
We know:
All triangles have internal angles that add up to 180°
Therefore:
combine like terms:
(x - 2)° and 3y° are supplementary angle (Two Angles are Supplementary when they add up to 180°).
Therefore:
substitute x = 29 and solve for y:
Answer: 6 cups of ketchup per cup of mustard
Step-by-step explanation:
Given : The recipe calls for 3 cups of ketchup for every 
cup of mustard.
That means , for cup of mustard. we need 3 cups of ketchup.
By using proportions, if we multiply 2 on both sides ,we get
for 
cup of mustard. we need 
cups of ketchup.
⇒ for 
cup of mustard. we need 
cups of ketchup.
Hence, the required rate = 6 cups of ketchup per cup of mustard
Answer:
C
Step-by-step explanation:
= 6 ( multiply both sides by 3x to clear the fraction )
15y - 10 = 18x ( add 10 to both sides )
15y = 18x + 10 ( divide terms by 15 )
y = 
x + 
, that is
y = 
x + 
→ C
Answer:
6a) 1
6b) 11
7a) 4
7b) 10
8a) 6
8b) 14
9a) 11
9b) 13
Step-by-step explanation:
In order to make a triangle, we need to follow this property:
a <= b + c
(Known as "triangle inequality")
Where 'a' is the bigger side and 'b' and 'c' are the other two sides.
So, using this property, we can solve the following problems:
6a) Maximum side will be 6:
6 <= 5 + c
c = 1
6b) Minimum sides will be 5 and 6:
a <= 5 + 6
a = 11
7a) Maximum side will be 7:
7 <= 3 + c
c = 4
7b) Minimum sides will be 3 and 7:
a <= 3 + 7
a = 10
8a) Maximum side will be 10:
10 <= 4 + c
c = 6
8b) Minimum sides will be 4 and 10:
a <= 4 + 10
a = 14
9a) Maximum side will be 12:
12 <= 1 + c
c = 11
9b) Minimum sides will be 1 and 12:
a <= 1 + 12
a = 13
Answer:
3/5
Step-by-step explanation:
(6, 2) and (1, -1)
To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(-1 - 2) / (1 - 6)
Simplify the parentheses.
= (-3) / (-5)
Simplify the fraction.
= -3/-5
= 3/5
This is your slope.
Hope this helps!
