Answer:
(E) b > 0
Step-by-step explanation:
a+b > a-b
Subtracting a on both sides,
a+b-a > a-b-a
b > -b
Adding b on both sides,
b+b > b-b
2b > 0
b > 0
Answer:
e. b>0
Step-by-step explanation:
Answer:
x = 120°: 60°, 60°, 120°, 120°
Step-by-step explanation:
x + x + 0.5x +0.5x = 360°
3x = 260°
x = 120°
0.5x = 60°
To find the measure of an angle in a quadrilateral when the other angles are known, subtract the sum of the known angles from 360 degrees. However, the original question does not provide sufficient data to determine specific angle measures or the value of 'x'.
Without additional information, it is impossible to determine the specific measure of each angle of the quadrilateral or the value of 'x'. When working with quadrilaterals, it's known that the sum of the interior angles is always 360 degrees. If given the values of three of the angles, you can calculate the fourth by subtracting the sum of the three given angles from 360.
For example, if you know that the value of three of the quadrilateral's angles are 90°, 90°, and 70°, you can find the fourth angle by performing the following calculation: 360° - (90° + 90° + 70°) = 110°. Therefore, the angle measures in order from least to greatest would be 70°, 90°, 90°, and 110°.
However, without the necessary information provided, such as the values or expressions representing the angles, a detailed explanation and accurate answer cannot be provided.
#SPJ11
To solve the problem, we set up a linear equation as $260 = $200 + $12x. After rearranging and solving the equation, we find that Miguel would need 5 cans of paint for a job worth $260.
The question pertains to solving a linear equation derived from a real-life scenario. In the given problem, Miguel has a set fee of $200 and then charges $12 per can of paint. If he has a job worth $260, to find how many cans of paint (represented by x) he'd need, we'll use the formula: total cost = set fee + (cost per can * no. of cans).
So, the equation in our case becomes: $260 = $200 + $12x.
To solve this equation, perform the following steps:
So, Miguel would need 5 cans of paint for a job worth $260.
#SPJ3
A rectangle, let length=a and width=b
perimeter: a+a+b+b=820
2a+2b=820 --> a+b = 410
Make a or b the subject: a=410-b
Area: ab=42 000 (area of a rectangle, length x width)
Sub a in.
b(410-b) = 42000
Expand: 410b - b^2 = 42000
Rearrange and use quadratic formula: b^2 -410b + 42000=0
b= 210 (can only be positive because length cannot be negative)
Sub this value back into perimeter or area equation: a + 210 = 410 --> a =200
Therefore, a= 200 and b=210.
Depending what you made the width is, it should be 200ft.
(I may have made some calculation errors as i'm not used to typing it out, but the process should be correct) I hope helps! :)