All categories

3 years ago

Solve and explain please

Mathematics

2 answers:

vekshin13 years ago

3 0

Answer:

Step-by-step explanation:

7x + 9 = 9x - 19. [Corresponding Angles]

=> 9x - 19 = 7x + 9

=> 9x - 7x = 19 + 9

=> 2x = 28

$= > x = \frac{28}{2}$

=> x = 14 (Ans)

Naily [24]3 years ago

3 0

X=4 and the work is on top of me. the other dude is right

You might be interested in

The product of two consecutive numbers is 72. Use a quadratic equation to find the two sets of numbers.

jok3333 [9.3K]

Answer:

the Answer is

Step-by-step explanation:

x2 + x - 72

Mark brainliest

3 0

3 years ago

Solve cos(2x)=1-sin(x)

Vedmedyk [2.9K]

Given:

$cos(2x)=1-sin(x)$

Expanding using double angle formula,

$1 - 2 \sin^{2} (x) = 1 - \sin(x)$

Rearranging into a single equation,

$1 - 2 \sin^{2}(x) - 1 + \sin(x) = 0$

Combining like terms,

$- 2 \sin^{2} (x) + \sin(x) = 0$

Now multiplying each term by -1,

$2 \sin^{2} (x) - \sin(x) = 0$

Factor greatest common factors out,

$\sin(x)(2 \sin(x) - 1) = 0$

Applying Zero property rule,

$\sin(x) = 0 \: or \: 2 \sin(x) - 1 = 0$

• Solve the trignometric equation to find a particular solution,

$x = 0 \: or \: x = π$

$= > x = 2nπ \: or \: x = π + 2nπ$

• Find the union of the solution sets,

$x = nπ$ }

• Rearrange unknown terms to the left side,

$2 \sin(x) = 1$

• Divide both sides of the equation by the coefficient of variable,

$\sin(x) = \frac{1}{2}$

• Solve the trignometric equation to find a particular solution,

$x = \frac{π}{6} \: or \: x = \frac{5π}{6}$

$= > x = \frac{π}{6} + 2nπ \: or \: x = \frac{5π}{6} + 2nπ,n∈Z$

}

☆ Now finding the union of both sets

$x = nπ \: or \: x = \frac{π}{6} + 2nπ \: or \: x = \frac{5π}{6} + 2nπ,n∈Z$

Hence, the answer is $x = nπ \: or \: x = \frac{π}{6} + 2nπ \: or \: x = \frac{5π}{6} + 2nπ,n∈Z$

3 0

3 years ago

Triangle GHI is translated using the rule (x, y) → (x + 5, y) to create triangle G′H′I′. If a line segment is drawn from point G

Debora [2.8K]

Step-by-step explanation:

the second answer.

they are parallel and congruent (same length).

simply because both points were translated by adding the same number of units to x. so, they have the same length, and point in the same direction.

6 0

2 years ago

1. the sum of the first n odd positive integers is 64. what is the value of n ?

chubhunter [2.5K]

The value of the n is 8.
There are 7 positive integers between 100 and 200 which are divisible by 14.

Step-by-step explanation:

The sum of first n odd positive integer is n^2. The nth odd number is 2n-1.

i.e. 1 + 3 + ........+ (2n-1) = n^2.

1 + 3 +..........+ (2n-1) = 64

n^2 = 64

n = 8.

The positive integers between 100 and 200 which are divisible by 14 are 112, 126, 140, 154, 168, 182, 196. It is obtained by the multiples of 14 between 100 and 200.

100 = 7 * 14 + 2

200 = 14 * 14 + 4. The answer is 14 - 7 = 7

The seven numbers are

14 * 8 = 112

14 * 9 = 126

14 * 10 = 140

14 * 11 = 154

14 * 12 = 168

14 * 13 = 182

14 * 14 = 196

6 0

3 years ago

-3/5+2/3 pls help now

Lady_Fox [76]

Hope it helpsssss !!!!!!!

5 0

3 years ago

Read 2 more answers