What is the range of possible values for x?

Answers

Answer 1

Answer: The minimum value for 2x is 0
the maximum value is achieved when A, D and C are collinear and the quadrilateral ABCD becomes an isosceles triangle ABC
base AB = 52 and vertical angle 2x + 34°

For the sine law
(sin 2x)/22 = (sin ADB)/AB
(sin 34°)/30 = (sin BDC)/BC

is given that AB = BC, and sin ADC = sin BDC because they are supplementary, so from
(sin ADC)/AB = (sin BDC)/BC

it follows
(sin 2x)/22 = (sin 34°)/30

sin 2x = 22 (sin 34°)/30

2x = asin(22 (sin 34°)/30) ≈ 24.2°

x = 0.5 asin(22 (sin 34°)/30) ≈ 12.1°

0 < x < 12.1°

Related Questions

How do I solve a quadratic equation like this: x squared minus 9x = -14?
HELP ME PLEASE?? I neeed help
Carlos is using the quadratic formula to find the solutions of y=3x^2-5x-2. Which of the following will simplify to the correct solutions? (options on photo)
Find the measures of the interior angles to the nearest tenth. ( Drawing is not to scale)
Consider the function f(x)=sin(2x)-1 and g(x)= 2 cos^2(x), both with domain [0,phi]. the line x = p intersects the graph of f in point A and the graph of g in point B. calculate the value of p for which the length of segment AB is maximal. Thank you please kindly answer this question

Please help! The answer choiuces are :
Positive
Negative
Absolute
Parabola

Answers

Answer:

Parabola

Step-by-step explanation:

This is what it looks like:

What is the sum of 4x² + 2x - 5 and 7z– 5x + 2?

Answers

Answer:

4x^2 - 3x + 7x - 3

Step-by-step explanation:

Wil offer 15 points to whoever can PLEASE answer this for me!! ill help with your question too

Answers

The area of the circle is 16*16*pi=256pi. We can calculate 3/4 of the circle's area for the part not represented by the triangle and the shaded area, and then add in the triangle. 3/4 of the circle's area is 192pi.

The triangle is a right triangle with two legs of length 16. Therefore, it's area is 16*16/2=128, and the total area is 192pi+128, or 731.2.

Divide 180 in a ratio of 4:5:9

Answers

ratio in which 180 should be divided is 4:5:9
firstly we need to find the total number of portions
this we can find by adding all the numbers making up the ratio
4 + 5 + 9 = 18
180 is made of 18 portions
size of 1 portion = 180 / 18 = 10
when dividing 180 into the respective ratio 4:5:9 the portions are as follows
4 x 10 = 40
5 x 10 = 50
9 x 10 = 90
therefore when we divide 180 in the ratio 4:5:9
the answer we get is
40 :50: 90

If r = 10 and s = 31, find R. Round to the nearest tenth

Answers

Answer: c 17.9°

Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation:

I took the test

A bag of chips costs $3.79 including tax Mr.Connor wants to purchase chips for his class and has a $15 budget. Write and inequality to solve for the number of bags of chips Mr.Connor can purchase with his budget A. $15x > $3.79 B.$15x < $3.79 C $3.79 > $15 D. $3.79 < $15 (There is a flat line under all the greater than and less than signs)

Answers

The inequality equation that could best express the statement will be letter d. 3.79x < 15. This is because there is only 15 budget from Mr. Connor, and his spending must not exceed the budget. Then the price per pack is 3.79, so it is express as 3.79x.

Answer:

D. $3.79x\leq 15$