Answer:
angle 5 is <u>137</u> degrees
angle 1 is <u>137</u> degrees
Step-by-step explanation:
angle 5 and 6 are supplementary angles meaning together they add up to 180 degrees. to find angle 5 you must find the difference:
so angle 5 is 137 degrees.
likewise, angle 1 and angle 4 are supplementary angles. find the difference:
so angle 1 is also 137 degrees.
Answer:
Cost of 1 beef= $7.5
Cost of 1 bacon= $6
Step-by-step explanation:
Ok so first of organize everything:
We know she buys 6 pounds ->beef and 3 pounds ->bacon
First we need to set up an equation of how much 1 beef costs and 1 bacon costs:
Let’s say f=cost of 1 beef and b=cost of 1 bacon
Now lets make the equation:
6f+3b=63. (She buys 6 portions of beef and 3 bacon and her total comes out to 63)
Now their is another condition that the cost of one bacon is -$1.50 per pound than beef.
So we can say b=f-1.50
Do you notice anything similar? The b has a value now and so we can replace the b in our first equation with the b of the 2nd (b=b)
So hence,
6f+3(f-1.50)=63
6f+3f-4.5=63
9f=67.5
F=7.5 (This is the cost for 1 pound of beef)
Now lets find out for bacon,. Now instead of doing this equation all over again just insert it into the b=f-1.5 you know make life easier for yourself:
B=7.5-1.5
B=6
Cost of 1 beef= $7.5
Cost of 1 bacon= $6
Answer:
Step-by-step explanation:
∠1 & ∠2 are co interior angles. co interior angles are supplementary.
∠1 + ∠2 = 180
102 + ∠2 = 180
∠2 = 180 - 102
∠2 = 78°
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope- formula
m = 
with (x₁, y₁ ) = (- 2, 15) and (x₂, y₂ ) = (1, 6) ← 2 ordered pairs from the table
m = 
= 
= 
= - 3 , then
y = - 3x + c ← is the partial equation
To find c substitute any ordered pair from the table into the partial equation
Using (2, - 3 ) , then
- 3 = - 6 + c ⇒ c = - 3 + 6 = 3
The y- intercept c = 3 → D
