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2 years ago

Can someone explain how to work this out?

Mathematics

1 answer:

kotegsom [21]2 years ago

5 0

Step-by-step explanation:

(13y)° and (8x+y)° are supplementary angles on a straight line therefore:

13y+8x+y=180°

14y+8x=180°——equation 1

Again,

(13y)° and (20x+3y)° are corresponding angles therefore are equal so:

13y=20x+3y

13y-3y-20x=0

10y-20x=0——equation 2

Now we find the value of x and y using the system of equations

Thus,we solve :

14y+8x=180°

10y-20x=0

Solving them,x=5 and y=10

3.We use the same approach for this

3(x+y)° and 5x are corresponding angles and are equal therefore:

3x+3y=5x

3x-5x+3y=0

-2x+3y=0——equation 1

Again,(5x)° and (4x-9)° are supplementary angles on a straight line so:

5x+4x-9=180

9x-9=180°

9x=180+9

9x=189°

x=21

Plug in the value of x into equation 1 for y

-2x+3y=0

-2(21)+3y=0

-42+3y=0

3y=42

y=42/3=14

So x is 21 and y is 14

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3 years ago

19. A quadratic equation is shown below.

victus00 [196]

Answer:

$\{\sqrt b, -\sqrt b\}$

Step-by-step explanation:

Given

$a^2 - b = 0$

Required

Determine the solution

Since b is a perfect square, the equation can be expressed as:

$a^2 - (\sqrt b)^2 = 0$

Apply difference of two squares:

$(a - \sqrt b)(a + \sqrt b) = 0$

Split:

$(a - \sqrt b)= 0 \ or\ (a + \sqrt b) = 0$

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2 years ago

A sequence is defined by the recursive formula f(n+1)=f(n)-2. If f(1)=18, what is f(5)?

N76 [4]

Answer:

$f(5)=10$

Step-by-step explanation:

A sequence is defined by the recursive formula $f(n+1)=f(n)-2$

If $f(1)=18,$ then

for $n=1: f(2)=f(1+1)=f(1)-2=18-2=16$

for $n=2: f(3)=f(2+1)=f(2)-2=16-2=14$

for $n=3: f(4)=f(3+1)=f(3)-2=14-2=12$

for $n=4: f(5)=f(4+1)=f(4)-2=12-2=10$

7 0

3 years ago

Read 2 more answers

What is the solution to 2(-4x+1)=2/3(x+2)

Rzqust [24]

Hello!

The answer to your problem is: $x=1/13$

Simplify both sides of the equation

$(2)(-4x)+(2)(1)=(2/3)(x)+(2/3)(2)$ $(Distribute)$

$-8x+2=2/3x+4/3$

Subtract 2/3x from both sides

$-8x+2-2/3x=2/3+4/3-2/3x$

$-26x+2=4/3$

Subtract 2 from both sides

$-26/3x+2-2=4/3-2$

$-26/3=-2/3$

Multiply both sides by 3/(-26)

$(3/26)*(-26/3x)=(3/-26)*(-2/3)$

Get your answer

$x=1/13$

Hope This Helps!

8 0

2 years ago

Find y when x=77, if y varies inversly as x, and y = 23 when x = 115.

Eduardwww [97]

The required value of y is 2645 / 77 when x = 77.

Step-by-step explanation:

1. Let's check the information given to answer:

if y varies inversely as x, and y = 23 when x = 115. Find y when x=77

2. What is y when x = 77?

As the statement "y varies inversely as x" translates into y = k/x

If we let y = 23 and x = 115, the constant of variation becomes

23 = k ÷ 115

k = 23 × 115

k = 2645

Thus the specification equation is y = 2645 ÷ x . Now, letting x = 77, we obtain

y = 2645 ÷ x

y = 2645 ÷ 77

So, The required value of y = 2645 / 77 when x = 77

#learnwithBrainly

7 0

3 years ago