If the m<7 = 115 degrees, find the measure of <2

To determine the values of b that fulfill 3(2b+3)^2 = 36

we start with
3(2b+3)^2 = 36
Divide both sides by 3
(2b+3)^2 = 12
Next, take the square root of both sides
(2b+3)} = (+ /-) \sqrt{12} \\ 2b=(+ /-) \sqrt{12}-3

b1=\frac{\sqrt{12}}{2} -\frac{3}{2}
b1=\sqrt{3} -\frac{3}{2}

b2=\frac{-\sqrt{12}}{2} -\frac{3}{2}
b2=-\sqrt{3} -\frac{3}{2}
Thus,

the solutions for b are
b1=\sqrt{3} -\frac{3}{2}
b2=-\sqrt{3} -\frac{3}{2}

The answer with the work has been provided previously.

Answer:

A) Maia had 1920 beads more.

B) Maia had 2544 beads at first.

Step-by-step analysis:

Let x denote the beads with Jenny and y for Maia.

The information provided states that Maia possesses 2064 beads more than Jenny, which can be represented mathematically as:

Additionally, after Maia made a necklace with 144 beads, she had five times more beads than Jenny.

This can also be formulated as an equation:

A) Since Maia had 2064 beads more than Jenny before using 144 beads, we calculate her final bead count by subtracting 144 from 2064.

Thus, Maia is left with 1920 beads more than Jenny.

B) To solve this system of linear equations, we will utilize the substitution method.

By inserting equation (1) into equation (2), we arrive at:

Now, let's divide our equation by 4.

Now, we'll substitute x=480 into equation (1) to isolate y.

Conclusively, Maia initially had 2544 beads.

Answer:

3/2

Step-by-step explanation:

Given that AC = BC, this is an isosceles triangle.

Since CD is perpendicular to AB, we find AD = DB = 0.5AB = 3/2

Now considering triangle ACD,[TAG_17]]

we will use Pythagoras' theorem,

AC =

AC = 3/2

:-)

Answer-  A,D,E

Step-by-step explanation:

A table featuring two columns with 5 rows. The first column, labeled x, contains the values: -2, 0, 2, 4. The second column, labeled y, includes the values: 6, 3.5, 1, -1.5.

Which equations correspond to the data shown in the table? Select all that apply.

y – 6 = -5/4(x + 2)

y – 2 = -5/4(x - 1)

y + 2 = -5/4(x - 6)

y – 1 = -5/4(x - 2)

y – 3.5 = -1.25x

This is just rewording the question