The triangles are similar. the area of the larger triangle is 603 cm². what is the area of the smaller triangle? 10.5 cm² 31.5 cm² 67 cm² 189 cm²

We are given

both triangles are similar

Let's assume side of bigger triangle is 'a'

side of smaller triangle is 'b'

so, a=54cm

b=18cm

now, we can find ratios

The area of the larger triangle is 603 cm²

so,

area of smaller triangle is As

we are given

both triangles are similar

so, we get

now, we can plug values

and we get

so,

the area of smaller triangle is ..........Answer

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

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.