Adriana is track bird populations. she counted 8 fewer birds in tuesday than on thursday. she counted at most 32 birds on thursday. how many birds did adrianna count on tuesday

Adriana counted at most 24 birds on Tuesday

Solution:

Given that,

She counted 8 fewer birds in Tuesday than on Thursday

She counted at most 32 birds on Thursday

Let "t" be number of birds counted in Tuesday

From given statement,

Number birds count on Thursday = at most 32 birds

Here, "at most" means less than or equal to 32

Therefore, we frame a inequality as,

Since she counted 8 fewer birds in tuesday than thursday,

number of birds counted in Tuesday 32 - 8

Thus she counted at most 24 birds on Tuesday

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.

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11