Answer:
Y= -4x+ 21
Step-by-step explanation:
The seamstress can cut 36, 15-inch pieces of ribbon from 5 rolls of 9 foot long ribbon.
Answer:
60%
Step-by-step explanation:
A percent is technically just a fraction over 100.
To get that here, we simply divide the part (which is 1560 people) by the whole (which is 2600 people) and then multiply that by 100:
(1560 / 2600) * 100 = 0.6 * 100 = 60/100
Thus, we know that the percent is 60%.
Answer:
If the expression is 2y+9x the answer is: 10x+12y
If the expression is 2y-9x the answer is -8x+12y
Step-by-step explanation:
You would combine all your x values:-4,9,9,-4 and that equals 10 then you would add your variable, so your x value is 10x.
You would then combine all your y values: 8,-2,8,-2, and that equals 12, then you would add your variable, so your y value is 12y.
Answer:
The generalisation she can make from her work is that the other two angles of the quadrilateral are supplementary i.e their sum is 180°
Step-by-step explanation:
We are given the following from what she knows
m∠3=2⋅m∠1... 1
m∠2=2⋅m∠4 ... 2
m∠2+m∠3=360 ... 3
From what is given, we can substitute equation 1 and 2 into equation 3 as shown:
From 3:
m∠2+m∠3=360
Substituting 1 and 2 we will have:
2⋅m∠4 + 2⋅m∠1 = 360
Factor out 2 from the left hand side of the equation
2(m∠4+m∠1) = 360
Divide both sides by 2
2(m∠4+m∠1)/2 = 360/2
m∠4+m∠1 = 180°
Since the sum of two supplementary angles is 180°, hence the generalisation she can make from her work is that the other two angles of the quadrilateral are supplementary i.e their sum is 180°
