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3 years ago

Find the value if x

Mathematics

1 answer:

Fantom [35]3 years ago

3 0

Answer:

x = 7

Step-by-step explanation:

AS m//n

4x - 13 = x + 8 (being corresponding angles)

4x - x = 8 + 13

3x = 21

x = 21/3

therefore x = 7

Hope it will be helpful:)

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ABCD is a parallelogram and DAB =115 degrees

never [62]

What are you trying to find with this?

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3 years ago

PLEASEEEEEE HELP <br> Given: △ABC, D∈AC<br> m∠BDC=m∠ABC<br> AD=7, DC=9<br> Find: BC, BD/BA

Sergio [31]

Answer:

Step-by-step explanation:

Given: △ABC, D∈AC , m∠BDC=m∠ABC , AD=7, DC=9.

Solution: Let BC=x, From the given figure and the given information, it can be seen that △ABC is similar to ΔBDC by AA rule, thus using the proportionality theorem, we get

$\frac{AC}{BC}=\frac{BC}{DC}$

⇒ $\frac{16}{x}=\frac{x}{9}$

⇒ $x^{2}=144$

⇒ $x=12$

⇒BC=12

Now, calculate the similarity scale,

k= $\frac{AC}{BC}$

= $\frac{16}{12}=\frac{4}{3}$

Therefore, $\frac{BA}{BD}=\frac{4}{3}$

⇒ $3BA=4BD$

⇒ $BA=\frac{4}{3}BD$

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3 years ago

Jesse measured his height to be 67 inches. His actual height is 68.5 inches. What is the percent error for Jesse’s measurem

pogonyaev

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3 years ago

At which values of x does the graph of the function F(x) have a vertical asymptote? Check all that apply. f(x)=x+4/x^2+5x-24

mr Goodwill [35]

Answer:

x = -8 & at x = 3

Step-by-step explanation:

This is a rational function.

We can get the values of x at which vertical asymptotes occur by setting the denominator equal to 0 and solving for x.

Let's do this:

$x^2+5x-24=0\\(x+8)(x-3)=0\\x=-8,3$

Hence, vertical asymptotes occur at x = -8 & at x = 3

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4 years ago

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noname [10]

Using a system of equations, it is found that 1530 more novels have been bought in total.

For the system, we have that:

x is the number of novels.
y is the number of dictionaries.

The ratio of the number of novels to that of dictionaries is 2:3, hence:

$\frac{x}{y} = \frac{2}{3}$

$3x = 2y$

$y = \frac{3x}{2}$

Total number of novels is 624, hence:

$x = 624$

$y = \frac{3}{2} \times 624 = 936$

Buys z more novels, and the ratio becomes $\frac{7}{3}$ , hence:

$\frac{624 + z}{923} = \frac{7}{3}$

$1872 + 3z = 6461$

$z = \frac{6461 - 1872}{3}$

$z = 1530$

1530 more novels have been bought in total.

A similar problem is given at brainly.com/question/17096268

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3 years ago