Acommon measure of student achievement, the national assessment of educational progress (naep) is the only assessment that measures what u. s. students know and can do in various subjects across the nation, states, and in some urban districts. also known as the nation's report card, naep has provided important information about how students are performing academically since 1969.naep is a congressionally mandated project administered by the national center for education statistics (nces) within the u. s. department of education and the institute of education sciences (ies).

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

where's the diagram?

step-by-step explanation: