Hi,
c=4, b=2, a²=b²+c²==> a=2√5
No slope i believe. good luck!
Answer:
6) f=45
7) r=57
Step-by-step explanation:
the angles of a triangle will always add up to 180 degrees. Therefore, for the first one the three inside angles have to be 30, 15, and 135. If 135 is the supplementary angle to f, 45 must be the degree of f.
Same idea for the second one. 180-143=37. so 37+86+r=180. solve for r to get 57.
Answer: A scone costs $2.64, and a large coffee costs $1.92.
Explanation: We can write both scenarios as equations, and write it as a system of equations.
“Luis picked up seven scones and four large coffees. He paid $26.16.”
Let’s express the cost of a scone as x.
Let’s express the cost of a large coffee as y.
The first equation would be 7x + 4y = 26.16.
“Rachel picked up six scones and five large coffees. She paid $25.44.”
Let’s express the cost of a scone as x.
Let’s express the cost of a large coffee as y.
The second equation would be 6x + 5y = 25.44.
The systems of equations is:
7x + 4y = 26.16
6x + 5y = 25.44
Let’s take the first equation and solve for x.
7x + 4y = 26.16
7x = 26.16 - 4y
x = (26.16 - 4y)/7
Let’s substitute x in the second equation for (26.16 - 4y)/7, and solve for y.
6((26.16 - 4y)/7) + 5y = 25.44
Distribute the 6 across 26.16 - 4y in the term 6((26.16 - 4y)/7).
(156.96 - 24y)/7 + 5y = 25.44
Rewrite 5y as 35y/7 so it has a common denominator with (156.96 - 24y)/7.
(156.96 - 24y)/7 + 35y/7 = 25.44
Combine like terms.
(156.96 + 11y)/7 = 25.44
Multiply both sides by 7.
156.96 + 11y = 178.08
Subtract 156.96 from both sides.
11y = 21.12
Divide both sides by 11.
y = 1.92
Substitute y into the first equation.
7x + 4(1.92) = 26.16
Simplify 4(1.92).
7x + 7.68 = 26.16
Subtract 7.68 from both sides.
7x = 18.48
Divide both sides by 7.
x = 2.64
Since x = 2.64, we know that the cost of a scone is $2.64.
Since y = 1.92, we know that the cost of a large coffee is $1.92.
Therefore, a scone costs $2.64, and a large coffee costs $1.92.
