All categories

2 years ago

Need help fast! need the value of x and please show the work!

Mathematics

1 answer:

lions [1.4K]2 years ago

6 0

By the external angle of a triangle theorem

m < ABD = m < BDC + m < BCD

That is 5x + 2 = x^2 - 1 + 4x - 3

x^2 + 4x - 5x - 1 - 3 - 2 = 0

x^2 - x - 6 = 0

(x - 3)(x + 2) = 0

x = 3, -2

x cannot be -2 because that would make the external angle, 5x-2 negative.

Answer x = 3

You might be interested in

Please help me solve this whole problem!

Dvinal [7]

I’m not good at math srry but hope someone answers the is for you

3 0

2 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20%20%5Cfrac%7B3%7D%7B4%7D%20x%20%2B%20%20%5Cfrac%7B5%7D%7B6%7D%20%20%3D%205x%20-%20%20%5Cfra

jonny [76]

Answer:

nos agoi o se

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

A culture started with 3000 bacteria. After 2 hours it grew to 3300 bacteria. Predict how many bacteria will be present after 16

bixtya [17]

Answer:

$6,430\ bacteria$

Step-by-step explanation:

we have a exponential function of the form

$y=a(1+r)^{x}$

where

y is the population of bacteria

a is the initial value

r is the rate of growth

x is the number of hours

we have

a=3,000 bacteria

$y=3,000(1+r)^{x}$

For x=2, y=3,300

substitute

$3,300=3,000(1+r)^{2}$

$(3,300/3,000)=(1+r)^{2}$

Apply square root both sides

$1+r=\sqrt{3.3/3}$

$r=\sqrt{3.3/3}-1$

$r=0.0488$

$r=4.88\%$

substitute in the equation

$y=3,000(1+0.0488)^{x}$

$y=3,000(1.0488)^{x}$

<u><em>Predict how many bacteria will be present after 16 hours</em></u>

For x=16 hours

substitute

$y=3,000(1.0488)^{16}$

$y=6,430\ bacteria$

6 0

2 years ago

Use your calculator to select the best answer below:

bixtya [17]

Answer:

$-2\sqrt{a}$

Step-by-step explanation:

$\lim_{x \to a} \frac{a-x}{\sqrt{x} -\sqrt{a} } \\ =-\lim_{x \to a} \frac{x-a}{\sqrt{x} -\sqrt{a} } \\=-\lim_{x \to a} \frac{(\sqrt{x} -\sqrt{a})(\sqrt{x} +\sqrt{a})}{\sqrt{x} -\sqrt{a} } \\=- \lim_{x \to a} \sqrt{x} +\sqrt{a}\\=-2\sqrt{a}$

6 0

2 years ago

Tucker has 5 pennies 6 dimes and 5 quarters what is the ratio of pennies to total coins?

dimulka [17.4K]

Answer:

5 : 16

Step-by-step explanation:

Tucker has a total of 5 + 6 + 5 = 16 coins. The ratio of 5 pennies to that total is ...

pennies : total coins = 5 : 16

3 0

2 years ago