1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sveta [45]
3 years ago
8

100 Points Solve for X

Mathematics
2 answers:
bixtya [17]3 years ago
5 0
A) By the rules of secants,
  5(x +5) = 6(6 +4)
  x + 5 = 12
  x = 7


b) 3(3 +5) = 4(x +4)
  6 = x +4
  2 = x
Gemiola [76]3 years ago
3 0

Answer:

a) x = 7

b) x = 2

Step-by-step explanation:

5 ( x + 5 ) = 6 ( 6 +4 )

⇒ Expand brackets

5 x + 25 = 36 + 24

⇒ Simplify

5 x + 25 = 60

⇒ Minus 25 from both sides to isolate  5 x

5 x = 35

 x = 7

3 ( 3 + 5 ) = 4 ( x + 4 )  

⇒ Expand brackets

9 + 15 = 4 x + 16

⇒ Simplify

24 = 4 x + 16

⇒ Minus 16 from both sides to isolate 4 x

8 = 4 x

⇒ Divide both sides by 4 to isolate x

2 = x

 

You might be interested in
Which ordered pair is the best estimate of the solution of the system 3x+y=4 x-3y=4?
vovangra [49]
3x+y=4\ \ \ \ \ \ ..............equation(1)\\x-3y=4\ \ \ \ \ \ ..............equation(2)\\\\ Using~equation~(2), \\\\
x-3y=4\\x=4+3y\\\\Now,\ using\ the\ value\ of\ x\ in\ equation\ (1),\ we\ get,\\\\(4+3y)-3y=4\\\\4=4

Since all the variables cancel out and the coefficient equal to eachother, this system of equation has <u>infinitely many solutions!</u>
6 0
3 years ago
The graph represents two complex numbers, z1 and z2, as solid line vectors. Which points represent their complex conjugates?
REY [17]

Point <em>A</em> represents the complex conjugate z₁ and point L represents the complex conjugate of z₂ respectively

The complex conjugate of a complex number is a complex number that having equal magnitude in the real and imaginary part as the complex number to which it is a conjugate, but the imaginary part of the complex conjugate has an opposite sign to the original complex number

Therefore, graphically, the complex conjugate is a reflection of the original complex number across the x-axis because the transformation for a reflection of the point (x, y) across the x-axis is given as follows;

Preimage (x, y) reflected across the <em>x</em> axis give the image (x, -y)

Where in a complex number, we have;

x = The real part

y = The imaginary part

The reflection of z₁ across the x-axis gives the point <em>A</em>, while the reflection of z₂ across the x-axis gives the point <em>L</em>

Therefore;

Point <em>A</em> represents the complex conjugate z₁ and point L represents the complex conjugate of z₂

Learn more about complex numbers here;

brainly.com/question/20365080

4 0
3 years ago
What is the value of (-12-6).-3.5?
Nastasia [14]

Answer:

-21.5

Step-by-step explanation:

-12-6=-18 minus 3.5=-21.5

8 0
3 years ago
Solve the inequality,
son4ous [18]
The answer is -9-18x
27−9x−9(x+4)=

27−9x−(9x+36)=


27−9x−9x−36=


Collect like terms.

(27−36)+(−9x−9x)= −9−18x
5 0
3 years ago
michelle bought the same fabric on 3 different occasions and recorded the data below what was the price per yard of fabric? answ
bazaltina [42]

Please consider the complete question.

Michelle bought the same fabric on 3 different occasions and recorded the data below.

Yards of Fabric         Total Cost

2.2                             $2.53

3.6                             $4.14

4.2                             $4.83

What was the price per yard of fabric?

To find the cost per yard of fabric, we will divide cost of yards by number of yards.

\text{Cost per yard}=\frac{\text{Cost}}{\text{Number of yards}}

\text{Cost per yard}=\frac{\$2.53}{2.2\text{ yards}}

\text{Cost per yard}=\frac{\$1.15}{\text{ yard}}

Let us find cost per yard using 2nd set of data.

\text{Cost per yard}=\frac{\$4.14}{3.6\text{ yards}}

\text{Cost per yard}=\frac{\$1.15}{\text{ yard}}

Similarly we will find cost per yard for 3rd set of data.

\text{Cost per yard}=\frac{\$4.83}{4.2\text{ yards}}

\text{Cost per yard}=\frac{\$1.15}{\text{ yard}}

Therefore, the cost per yard of fabric is $1.15.

4 0
3 years ago
Other questions:
  • 7 questions! 30 points! Circle test.
    13·1 answer
  • Log x + Log(x+5) = log 6
    14·1 answer
  • Angle 1 and Angle 2 are complimentary angles. Find x and the measure of Angle 1.
    12·2 answers
  • What is the equation in standard form of a parabola that models the values in the table
    13·1 answer
  • What is 921,444 rounded to the nearest hundred thousand?
    14·1 answer
  • Select from the drop-down menu to correctly complete the statement about the given figures.
    9·2 answers
  • area of the parallelogram
    6·1 answer
  • 1 2/3 - 3/5 as fraction
    7·1 answer
  • This is due in 10 minutes please help
    6·1 answer
  • On a coordinate plane, 2 exponential functions are shown. f (x) decreases from quadrant 2 to quadrant 1 and approaches y = 0. It
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!