By the , the sum of the angles in a triangle is equal to 180°. therefore, m∠a+m∠b+m∠c=180° . using the , (6x)°+90°+(x+6)°=180° . to solve for x, first combine like terms to get 7x + 96 = 180. using the , 7x = 84. then, using the division property of equality, x = 12. to find the measure of angle a, use the substitution property to get m∠a=6(12)° . finally, simplifying the expression gets m∠a=72° .

In a circle, a 45° sector has an area of 32π cm2. what is the radius of this circle? 32 cm 12 cm 16 cm 8 cm

Assume that 1400 births are randomly selected and 1378 of the births are girls. use subjective judgment to describe the number of girls as significantly high, significantly low, or neither significantly low nor significantly high. choose the correct answer below. a. the number of girls is neither significantly low nor significantly high. b. the number of girls is significantly high. c. the number of girls is significantly low. d. it is impossible to make a judgment with the given information.

If w = 6 units, x = 3 units, and y = 5 units, what is the surface area of the figure? 168 units2 240 units2 144 units2 96 units2