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I hope this helps you
x=y+4
3 (y+4)+y=8
3y+12+y=8
4y= -4
y= -1
x= -1+4
x=3
(3, -1)
Y = -2/5x - 11 is the equations
Answer:
Step-by-step explanation:
23). By applying triangle sum theorem in the given triangle,
(x + 83)° + (x + 48)° + 65° = 180°
2x + 196 = 180
2x = -16
x = -8
Measure of angle A = x + 48
= -8 + 48
= 40°
Therefore, Option A is the answer.
24). By triangle sum theorem,
(3x + 14)° + 90° + (4 + 3x)° = 180°
6x + 108 = 180
6x = 72
x = 12
Measure of angle A = (4 + 3x)
= 4 + 3(12)
= 40°
Therefore, Option A is the answer.
<u><em>1- Writing the system of equations:</em></u>
The price of a cup of coffee is denoted by c while the price of a spaghetti is denoted by s
<u>We are given that:</u>
4 cups of coffee and 6 spaghetti cost $20.5
<u>This means that:</u>
4c + 6s = 20.5 ................> equation 1
<u>We are also given that:</u>
1 cup of coffee and 3 spaghetti cost $8.75
<u>This means that:</u>
c + 3s = 8.75 .................> equation 2
<em><u>2- Solving the equations using substitution methods:</u></em>
<u>From equation 2:</u>
c = 8.75 - 3s ................> I
<u>Substitute with I in equation 1 and solve for s as follows:</u>
4c + 6s = 20.5
4(8.75 - 3s) + 6s = 20.5
35 - 12s + 6s = 20.5
35 - 6s = 20.5
6s = 14.5
s = $2.41667
<u>Substitute with s in I to get c:</u>
c = 8.75 - 3s
c = 8.75 - 3(2.41667) = 1.4999 = $1.5
<u><em>3- getting price for 1 cup of coffee and 1 spaghetti:</em></u>
c + s = 1.5 + 2.41667 = $3.91667
Hope this helps :)