1. How many cubic blocks of side length 1/6 inch would it take to fill a rectangular prism with a length , width, and height of 1/3 inch, 2/3 inch, and 2/3 respectively 2. How many cubic blocks of side length 1/7 inch would it take to fill a cube with a side of 3/7 inch?
3. How many cubic blocks of side length 1/7 inch would it take to fill a rectangular prism with a length, width, and height of 3/7 inch, 1/7 inch, and 3/7 inch, respectively?
4. How many cubic blocks of side length 1/6 inch would it take to fill a cube with a side length of 2/6 inch?

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

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.

its an acute right triangle

step-by-step explanation: