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° .

it should be a and d. lmk if i'm wrong xd

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

she will travel a distance in the range of 3 - 11 miles