0.42 is 15% of what number

I am just completely lost and am unsure of how to approach this problem.

Anastasy [175]

Answer:

68°

Step-by-step explanation:

As BA⊥BD, so ∠ABD = 90°

also, ∠ABD = ∠CBD + ∠ABC

⇒ 90° = 4x + 52° + 8x - 10°

⇒ 12x = 48°

⇒ x = 4°

now,

∠CBD = 4x + 52°

= 4(4°) + 52°

= 68°

5 0

2 years ago

A person who weighs 100 pounds on earth weighs 16.6 lb on the moon. What is the independent variable? Explain why

Leviafan [203]

Independent variable (IV): something the scientist can change.

Thus, in this case, the IV can be the weight of the person.

5 0

2 years ago

Please Find the value of x and y

Free_Kalibri [48]

Answer: x=40° and y=140°

Step-by-step explanation:

From the figure, we know that x and 40 are vertical angles. Therefore, they are equal to each other.

x=40°

With the value of x, we know that x and y are supplementary angles. That means they are equal to 180°.

40+y=180 [subtract both sides by 40]

y=140°

Now we know x=40° and y=140°.

4 0

2 years ago

8 freshmen, 9 sophomores, 9 juniors, and 7 seniors are eligible to be on a committee.

loris [4]

Answer: 11113200

Step-by-step explanation:

We know that , the number of combination of choosing r things from n things is given by :-

$^nC_r=\dfrac{n!}{r!(n-r)!}$

Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-

$^8C_4\times ^9C_5\times^9C_2\times^7C_3$

$=\dfrac{8!}{(8-4)!4!}\times\dfrac{9!}{(9-5)!5!}\times\dfrac{9!}{(9-2)!2!}\times\dfrac{7!}{3!(7-3)!}\\\\ =\dfrac{8\times7\times6\times5\times4!}{4!4!}\times\dfrac{9\times8\times7\times6\times5!}{4!5!}\times\dfrac{9\times8\times7!}{7!2!}\times\dfrac{7\times6\times5\times4!}{3!4!}\\\\=11113200$