Answer:
hello. x =3
Step-by-step explanation:
hope you u understand
the answer is 763 because 763 - 763 = 0
(4x - 5)^2
Multiply the equation by itself.
(4x - 5)(4x - 5)
Start by multiplying 4x by 4x.
Move on to multiplying 4x by -5.
Multiply -5 by 4x.
Multiply -5 by -5.
16x^2 - 20x - 20x + 25
Combine like terms.
16x^2 - 40x + 25
Answer: B
Answer/Step-by-step explanation:
1. Given:
m<ABC = 4x°,
m<BCD = 3x°,
m<CDA = 2x°,
m<DAB = 3x°
Sum of quadrilateral = (n - 2)180
Quadrilateral has 4 sides, therefore, n = 4.
Sum of quadrilateral = (4 - 2)180 = 2*180 = 360°
Equation to solve for x would be:
m<ABC + m<BCD + m<CDA + m<DAB = 360
Substituting the given expression for each angle, we have:
4x + 3x + 2x + 3x = 360
12x = 360
Use the above equation to solve for x by dividing both sides by 12
x = 30
Find the measures of all the interior angles by substituting the value of x in each given expression for each angle as follows:
m<ABC = 4x = 4*30 = 120°
m<BCD = 3x = 3*30 = 90°
m<CDA = 2x = 2*30 = 60°
m<DAB = 3x = 3*30 = 90°
[Check: 120 + 90 + 60 + 90 = 360°]
2. <CDA and <ADE form a linear pair. They are supplementary angles.
Since supplementary angles sum up to equal 180°, and <ADE is a supplement of <CDA (60°), therefore:
m<ADE = 180° - 60° = 120°
Answer:
46.9 times
Step-by-step explanation:
First, we can calculate how many feet it takes to run around the field. To find the perimeter of a rectangle, we can use the formula
2* length + 2 * width. With the length being 450 and the width being 225 here, we can say that
2*450 + 2 * 225 = 1350 feet
Therefore, Andrew runs 1350 feet each time he runs around the field. Next, we need to figure out how much 1350 feet goes into 12 miles as we want to find how many times Andrew runs around the field to get to 12 miles. This can be represented by
12 miles/1350 feet
One thing that we can do here is multiply the fraction by 1 to keep it the same. Because 1 mile = 5280 feet, we can say that
1 mile/5280 feet = 1 = 5280 feet/1 mile. Therefore, it would be safe to multiply
12 miles/1350 feet by 1 = 5280 feet/1 mile. Note that feet is on the bottom in the first fraction (12 miles/1350 feet) and on the top in the second (5280 feet/1 mile) so they will cancel out. Similarly, miles are on top in the first and bottom in the second. We then have
12 miles/1350 feet * 5280 feet/1 mile =63360/1350 ≈ 46.9
