Answer:
65°
Step-by-step explanation:
The sum of the interior angles of a quadrilateral is 360 degrees.
65+115+115=295
360-295=65
Answer: 65°
Answer:
.
Step-by-step explanation:
A point of the form 
belongs to the graph of this function, 
, if and only if the equation of this function holds after substituting in 
and 
.
The question states that the point 
belongs to the graph of this function. Thus, the equation of this function, , should hold after substituting in 
and 
:
.
.
Solve this equation for the constant 
:
.
Thus, .
Answer:
the price of each soda is $1.75
Step-by-step explanation:
Notice that there are two unknowns; the price of each soda (let's assign the letter "s" to it), and the price of the basket of fries 9let's assign the letter "b" to it)
We can then write two equations using the information on the total price for each order:
(a) 4 s + 4 b = 16
(b) 4 s + 3 b = 13.75
we can now subtract term by term equation (b) from equation (a), and obtain:
4 s - 4 s + 4 b - 3 b = 16 - 13.75
0 + b = 2.25
So now that we know the price of each basket of fries ($ 2.25) , we can use that info in either equation and solve for "s". Let's use equation (a) for example:
4 s + 4 (2.25) = 16
4 s + 9 = 16
4 s = 16 - 9
4 s = 7
s = 7/4
s = 1.75
So, the price of each soda is $1.75
Answer:
x=70
Step-by-step explanation:
Due to the law of alternate interior angles, we can see that one of the angles in the triangle is equal to 35 degrees as well (please see the picture attached).
We're given that one of the exterior angles of the triangle is equal to 105. The exterior angle of a triangle will always be equal to the sum of the two opposite interior angles. Knowing this, we can write:
x+35=105
Subtract both sides by 35
x+35-35=105-35
x=70
Therefore, the value of x is 70 degrees.
I hope this helps!
Answer: 0.33x + 5.2 = 67.9
Step-by-step explanation:
.33 is the weight per pear so you multiply that times the number of pears to get the "pear weight". 5.2 is the constant.
If you needed to find the answer: 67.9-5.2 = 62.7
62.7/0.33 = 190
190 pears
