Given:
Consider the below figure attached with this question.
and
.
To find:
The measure of angle 3.
Solution:
From the below figure it is clear that, angle 3 and angle 4 are vertically opposite angles.
We know that, vertically opposite angles are always equal. So,






Now,


Therefore, the measure of angle 3 is 140 degrees.
To determine the cost of each item, we need to set up equations. From the problem statement, we have three unknowns so we need three equations. We set up equations as follows:
let x cost of small pizzas
y cost of soda
z cost of salad
two small pizzas, a liter of soda, and a salad cost $14
2x + y + z = 14
one small pizza, a liter of soda, and three salads cost $15
x + y + 3z = 15
three small pizzas, a liter of soda, and two salads cost $22
3x + y + 2z = 22
Solving for x, y and z, we will have:
x = $ 5
y = $ 1
z = $ 3
Answer:they need to buy 27 boxes of plates.
Step-by-step explanation:I do not like expaining things.
Answer:
Step-by-step explanation:
1.
(-2,0) (0,-7) y2-y1
-----------------
x2-x1
-7-0= -7
0- (-2)= 2 ------>>> -7/2 =m or slope
2.
y= -7/2x+b to find b u plug in one pair of coordinates for example (-2,0)
and use inverse properties to find b
0 = -7/2(-2) + b
14/2 = 7
0= 7+b
-7 -7
-----------
-7=b
3.
y=-7/2x-7
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Inverse both sides

Multiply sides by 4



Subtract sides 8


Done...
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