Answer: the number is -3
Step-by-step explanation:
Four times a number is three times the difference of that number and one
Let the number be x. Four times the number means 4×x = 4x
three times the difference of that number and one. This means
Difference of the number and one is (x-1). Three times the difference of the number and one would be 3(x-)
Four times a number = three times the difference of that number and one. Therefore,
4x = 3(x-1)
Opening the bracket
4x = 3x -3
4x-3x = -3
x =-3
Check
4×-3 =3(-3-1)
-12 = -3×4
-12 = -12
So the number is -3
In order to convert a mixed number into its simplest form you must first divide the denominator by the numerator then convert the answer back to fraction form.
in order to concert a decimal into a fraction you must first find out how many times the decimal goes into one hundred then with the rest of the number you repeat until you finally get you fraction.
Answer:its is a line that intersects another line at 45 degree angle
ex. lines with the slope of 2/3 and -3/2 are perpendicular cause they intersect leaving a 45 degree angle
Step-by-step explanation:
Question 1: Equiangular
Question 2: Area of the parallelogram = 48 square centimeters
Question 3: Perimeter of the rectangle = 42 ft
Question 4: Area of the trapezoid = 154 square inches
Solution:
Question 1:
The given polygon is a rectangle.
The angles of each side of the polygon is 90°.
This means all angles are equal.
Hence Option A equiangular is the correct answer.
Question 2:
Area of the parallelogram = Base × Height]
= 6 cm × 8 cm
Area of the parallelogram = 48 square centimeters
Question 3:
Perimeter of the rectangle = 2(length + width)
= 2( 15 ft + 6 ft)
= 2(21 ft)
Perimeter of the rectangle = 42 ft
Question 4:
Area of the trapezoid = 


Area of the trapezoid = 154 square inches
This can be solved using the
angle bisector theorem. Note that line segment AD is the angle bisector of triangle DAB from angle DAB. Therefore, we know that the ratios

and

are equal. Solving, we get

. Cross multiplying, we get

, and solving this equation we get

.
10.2 is your answer.