All categories

3 years ago

Fill in the blank with the correct response. Given ∠1=∠2, find x.

Mathematics

1 answer:

dexar [7]3 years ago

6 0

Answer:

x = 6

Step-by-step explanation:

Since, ∠1 ≅ ∠2

By angle bisector theorem,

$\frac{AB}{BD}=\frac{AC}{CD}$

By substituting the measures of each side in the given ratio of the sides,

$\frac{3}{x-4}=\frac{x}{4}$

12 = x(x - 4)

12 = x² - 4x

x² - 4x - 12 = 0

x² - 6x + 2x - 12 = 0

x( x - 6) + 2(x - 6) = 0

(x + 2)(x - 6) = 0

x = -2, 6

Since, measure of the sides can't be negative, x can not be negative.

Therefore, x = 6 will be the answer.

You might be interested in

Which of the following options have the same value as 75%of 96%? Choose 3 answers

evablogger [386]

the answers are a, b, and c.

4 0

3 years ago

Read 2 more answers

Lily is a botanist who works for a garden that many tourists visit. The function f(s) = 2s + 30 represents the number of flowers

Vesnalui [34]

Answer:

A. b(w) = 80w +30

B. input: weeks; output: flowers that bloomed

C. 2830

Step-by-step explanation:

For f(s) = 2s +30, and s(w) = 40w, the composite function f(s(w)) is ...

b(w) = f(s(w)) = 2(40w) +30

b(w) = 80w +30 . . . . . . blooms over w weeks

The input units of f(s) are seeds. The output units are flowers.

The input units of s(w) are weeks. The output units are seeds.

Then the function b(w) above has input units of weeks, and output units of flowers (blooms).

For 35 weeks, the number of flowers that bloomed is ...

b(35) = 80(35) +30 = 2830 . . . . flowers bloomed over 35 weeks

7 0

2 years ago

Pls can anyone give me tips for studying when I'm high-school

dimulka [17.4K]

Answer:

take a break from social media , find a peaceful spot to study ,be engaged , take notes and listen during discussion make use of ur extra time wisely

hope it's helpful 

5 0

3 years ago

How do you do this question?

daser333 [38]

Answer:

B. 1/2

Step-by-step explanation:

$\lim_{z \to 0} \frac{g(z)e^{-z}-3}{z^{2}-2z}$

If we plug in 0 for z, we get 0/0. Apply l'Hopital's rule.

$\lim_{z \to 0} \frac{-g(z)e^{-z}+g'(z)e^{-z}}{2z-2}$

Now when we plug in 0 for z, we get:

$\frac{-g(0)e^{0}+g'(0)e^{0}}{2(0)-2}\\\frac{-g(0)+g'(0)}{-2}\\\frac{-3+2}{-2}\\\frac{1}{2}$

4 0

3 years ago

Write two expressions that show that decreasing a quantity by 10% is the same as multiplying that quantity by 0.9

Contact [7]

Step-by-step explanation:

x -0.1x = x(1-0.1) = 0.9x

3 0

3 years ago