Answer:
1.Given : Inequalities and
To find : Solve the system of inequalities by graphing ?
Solution :
Let the equation 1 -
Equation 2 -
Plot these equation in the graphing tool,
Equation 1 is shown by red dotted line.
Equation 2 is shown by blue dotted line.
The intersection point of the equations is the solution of the system i.e. (0,-1).
Refer the attached figure below.
The solution of inequalities is at (0,-1).
2. Y=5-2x/3
Step-by-step explanation:
Answer:
Step-by-step explanation:
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Answer:
D) 53 Degrees.
Step-by-step explanation:
Things we need to establish beforehand: We know that Lines OZ and OX are equal because they are both radii of the circle. We can make an Iscoceles traingle by drawing a line between ZX. We know angle YZO and angle YXO is a right angle because YZ and XY are tangent to the circle. The Arc angle is the same angle as angle ZOX.
1) Find angles OZX and OXZ. these will be 26.5, because 180-127 is 53, which is the sum of the two angles. the two angles are the same, so divide 53 by 2.
2) Find Angles XZY and ZXY. We know that YZO is a right angle, and both XZY and OZX make up this right angle so XZY + OZX = 90. OZX is 26.5, so 90-26.5=XZY. XZY = ZXY, so both angles equal 63.5.
3) Now that we have two angles of triangle XYZ, we can find angle XYZ. 180-(XZY+ZXY)=XYZ, so (180-(63.5+63.5)=53. Angle XYZ=53.
Answer:
She use <u>5.88 pints</u> of white paint.
Step-by-step explanation:
Given:
Pearl uses 9.8 pints of blue paint and white paint to paint her bedroom walls. 
of this amount is blue paint, and the rest is white paint.
Now, to find the pints of white paint she use.
Pearl uses total pint of paint = 9.8 pints.
The amount of blue paint
= 
= 
= 
= 
Thus, the amount of blue paint = 3.92 pints.
Now, to get the white paint we subtract the amount of blue paint from the total pint of paint:
Therefore, she use 5.88 pints of white paint.
Since 1 cm = 10 mm
Then 4 cm = 40 mm
