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1 year ago

Lines b and c are parallel. What is the measure of angle 6

Mathematics

1 answer:

AfilCa [17]1 year ago

3 0

The measure of ∠6 is 54 degrees.

<h3>How to find the angles in a parallel lines?</h3>

When parallel lines are cut by a transversal, angle relationship are formed. Therefore,

∠6 = 5x + 9 (vertically opposite angles)

∠6 = ∠2

Hence,

∠2 + 13x + 9 = 180

5x + 9 + 13x + 9 = 180

18x = 162

x = 162 / 18

x = 9

Hence,

∠6 = 5(9) + 9 54°

learn more on angles here: brainly.com/question/12697146

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Money is borrowed at 14% simple interest. After one year, $1249.44 pays off the loan. How much was originally borrowed? I got $1

WITCHER [35]

The formula is
A=p (1+rt)
A future value 1249.22
P present value ?
R interest rate 0.14
T time 1 year
We need to solve for p
P=A÷(1+rt)
P=1,249.22÷(1+0.14×1)
P=1,095.81 round your answer
P=1096

Hope it helps

8 0

2 years ago

Solve the system of equations by finding the reduced row echelon form of the augmented matrix. Write the solutions for x and y i

Gwar [14]

Answer:

The solutions for the given system of equations are:

$\left \{ {{x=-5} \atop {y=12-4z}} \right.$

Step-by-step explanation:

Given the equation system:

$\left \{ {{3x+y+4z=-3} \atop {-x+y+4z=17}} \right.$

We obtain the following matrix:

$\left[\begin{array}{cccc}3&1&4&-3\\-1&1&4&17\end{array}\right]$

<u>Step 1:</u> Multiply the fisrt row by 1/3.

$\left[\begin{array}{cccc}1&\frac{1}{3} &\frac{4}{3}&-1\\-1&1&4&17\end{array}\right]$

<u>Step 2:</u> Sum the first row and the second row.

$\left[\begin{array}{cccc}1&\frac{1}{3} &\frac{4}{3}&-1\\0&\frac{4}{3} &\frac{16}{3}&16\end{array}\right]$

<u>Step 3:</u> Multiply the second row by 3/4.

$\left[\begin{array}{cccc}1&\frac{1}{3} &\frac{4}{3}&-1\\0&1 &4&12\end{array}\right]$

<u>Step 4:</u> Multiply the second row by -1/3 and sum the the first row.

$\left[\begin{array}{cccc}1&0 &0&-5\\0&1 &4&12\end{array}\right]$

The result of the reduced matrix is:

$\left \{ {{x=-5} \atop {y+4z=12}} \right.$

This is equal to:

$\left \{ {{x=-5} \atop {y=12-4z}} \right.$

These are the solutions for the system of equations in terms of z, where z can be any number.

6 0

2 years ago

It is a solid shape that contains lateral surface and two circular bases which are parallel and congruent.

ad-work [718]

Answer:

B (cylinder)

Step-by-step explanation:

Two <u>circular</u> bases which are parallel and congruent :

This basically means that the shape contains a circular base (supposedly the bottom), but since it has two bases, its on the top and the bottom. Because it's congruent, the bases are both equal in shape and size. It is also parallel as well, in which the bases have the same distance between them.

The cube doesn't have any circular bases.

The sphere doesn't have any faces, nor edges.

A cone has a circular base, but it doesn't have two.

A cylinder has two circular bases, as well as they are parallel and congruent.

So, your answer is B (cylinder).

Hope this helped !

8 0

2 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%7B-4%7D%20%7D%7B%283%2B1%29-%282%2B3i%29%7D%20" id="TexFormula1" title

frozen [14]

$\sqrt{-4}$ can also be written as 2i
where i = √-1

$\frac{2i}{4-2-3i} = \frac{2i}{2-3i}$

Rationalizing denominator,

$\frac{2i(2+3i)}{(2-3i)(2+3i)} = \frac{4i-6}{4+9} = \frac{4i-6}{13}$

8 0

3 years ago

What is the value of 10×+z=150<br>

JulijaS [17]

Answer:

Step-by-step explanation:

what is the value of 10×+z=150

10× (+z) = 150

10 × z = 150

z = 150 : 10

z = 15

-----------------------

check

10 × 15 = 150

the answer is good

8 0

2 years ago

Read 2 more answers