![]() ![]() What is the size, in degrees, of angle AFE? The length of segments DC and DE are equal. Points B, C and D are collinear points D, E and F are also collinear and so are points B, A and F. In the figure below, ABC is a right triangle. Write 4 2m and 8 in exponential form with exponent 2 We now multiply the left sides and right sides of x/5 = 1/10 and 2/y = 6 to obtain The circumference of the circular garden is equal to The area of the circular garden of radius R is equal to What is the circumference of the garden in feet? Subtract right sides an left sides to eliminate b as followsĪ circular garden has an area of 100? feet squared. Solve the system of equations: 2 m + b = 5 and 3 m + b = -5. Which of the following is a factor of the polynomial -2x 2 + 7x - 6? Slope m of perpendicular is such that (5/3) * m = -1. Write the equation of the given line and find the slope. What is the slope of any line perpendicular to the line -5x + 3y = 9? The distance d then would be the hypotenuse which can be found using Pythagora's theorem. ![]() In traveling East and then South, the boat is moving along the legs of 10 and 24 miles of a right triangle. How many miles are there from the point of departure of the boat to the island? Hence the total number of 3 digit numbers that can be made is equal toĪ boat travels 10 miles East and then 24 miles South to an island. There are 4 choices for the first digit, 4 choices for the second digit and 4 choices for the third digit since repetition is allowed. The numbers we need to make have 3 digits. How many 3 digit numbers can we make using the digits 4, 5, 7 and 9 and where repetition is allowed? Add the right and left sides of the two equations top obtain Solve for x the system of equation: x + y = 12 and x - y = 2. Take the square root of both sides in (x + y) 2 = 144 to obtainįactor the left side of x 2 - y 2 = 24 and write If (x + y) 2 = 144 and x 2 - y 2 = 24, then what is x if x and y are both positive? The angle supplementary to angle x on the right side of 元 is equal to y since they are corresponding angles. The correct relationship between angles y and x is ![]() In the figure below, L1 and L2 are parallel lines. Since the right angle is at point B, BA and BC are the legs of the right triangle and AC is the hypotenuse. The points A(-4, -4), B(-1, -2) and C(x, -8) are the vertices of a right triangle with the right angle at (-1, -2). Let us first find the total area of all six sides:Īrea of left and right sides: 4x + 4x = 8xĪrea of front and back sides: 4x + 4x = 8xĪrea of top and bottom sides: 16 + 16 = 32 What is the volume of the rectangular box in inches cubed? The total surface area of all six sides of the rectangular box below is equal to 80 square inches. We now express P in terms of L as follows We first express the width W in terms of the length L Express the perimeter P of the rectangle in terms of the length L. The width W of a rectangle is 2 inches less than half its length L. We first solve the equation 5x - 3 = -3x + 5 What is the value of 2 x + 1/2 when 5 x - 3 = - 3 x + 5 Use prime factorization to rewrite 45, 135 and 210 as follows What is the greatest common factor (GCF) of 45, 135 and 270? The detailed solutions to the questions in ACT sample 2Īre presented along with detailed explanations. ACT Maths Practice Questions with Detailed Solutions - sample 2 ACT Maths Practice Questions
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