((i will give brainy and 20 points to the first person who answers 1. given that efgh {there is a box image here} qrst and the measurements shown, what is qt? ef = 3.4, fg = 5.6, gh = 4.7, eh = 6.3 a. 3.4 b. 4.7 c. 5.6 d. 6.3 ~~ 2. what is lm given the following measures and qpst ≅ jklm ? ps = 6.3, st = 5.2, tq = 7.4, qp = 4.8 a. 4.8 b. 5.2 c. 6.3 d. 7.4

1. We don't know the meaning of "{There is a box image here}".

If you're dealing with congruent figures, match the corresponding letters in the name of the figure:
.. E F G H
.. Q R S T
If you're concerned with QT (1st and 4th letters), you need to look at EH (1st and 4th letters).

If EFGH ≅ QRST, then QT = EH = 6.3.

2. LM = ST = 5.2

Answer

1 number

explanation

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.

The correct answer is -4