Step-by-step explanation:
in isoscles triangles two angles and lengths are equal .
two sides equal 3.5
so both of the angles are 55°
the sum of the angles in a triangle is 180°, so
x = 180° - 55° - 55°
x = 70° (Ans)
x+y≤30 and 2.50x+2.75y≥44 are the inequalities that model given situation.
Step-by-step explanation:
Given,
Number of banana breads and nut breads to bake = at most 30
At most 30 means the amount cannot exceed 30.
Selling price of each banana bread = $2.50
Selling price of each nut bread = $2.75
Amount to make = $44 at least
At least 44 means that the amount cannot be less than 44.
Let,
x represent the number of loaves of banana bread to be sold
y represent the number of loaves of nut bread to be sold
x+y≤30
2.50x+2.75y≥44
x+y≤30 and 2.50x+2.75y≥44 are the inequalities that model given situation.
Keywords: linear inequalities, addition
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Step-by-step explanation:
slope of the given line=2/3
since the required line is parallel to the given line, it's slope will be same.
hence slope of required line:2/3
The required line passes through the point(9,1),
hence the equation of the required line,
y-1=(2/3)(x-9)
3y-3=2x-18
2x-3y-15=0
There the equation of the required line is 2x-3y-15=0
Answer: x=4
Step-by-step explanation:
2x-3(x+4)=3x-4
distribute 2x-3x-12=3x-4
combine like terms 5x-12=3x-4
Move everything to one side 2x-8=0
Get x by itself 2x=8
Divide by 2 x=4
Slope= 2.3
In the equation y=mx+b m=slope and b=y-intercept