1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vampirchik [111]
3 years ago
12

I need help with this question

Mathematics
2 answers:
tankabanditka [31]3 years ago
7 0
I think the answer is A. 40
n200080 [17]3 years ago
3 0
The correct answer is B) 50.

Straight lines add up to 180 degrees. The outside angle measurements given would tell us that the two known angles are 40 (180-140=40) and 90 (180-90=90). Since triangles must add up to 180 degrees, we take 180-90-40= 50, which is the measure of the missing angle.
You might be interested in
What is 8900 in to a percent
Stels [109]

Answer:

445%

Step-by-step explanation:

8900 as a percentage is 445%.

7 0
3 years ago
f(x) = 2<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D" id="TexFormula1" title="x^{2}" alt="x^{2}" align="absmiddle" class="latex
loris [4]

Answer:

No answer is possible

Step-by-step explanation:

First, we can identify what the parabola looks like.

A parabola of form ax²+bx+c opens upward if a > 0 and downward if a < 0. The a is what the x² is multiplied by, and in this case, it is positive 2. Therefore, this parabola opens upward.

Next, the vertex of a parabola is equal to -b/(2a). Here, b (what x is multiplied by) is 1 and a =2, so -b/(2a) = -1/4 = -0.25.

This means that the parabola opens upward, and is going down until it reaches the vertex of x=-0.25 and up after that point. Graphing the function confirms this.

Given these, we can then solve for when the endpoints of the interval are reached and go from there.

The first endpoint in -2 ≤ f(x) ≤ 16 is f(x) = 2. Therefore, we can solve for f(x)=-2 by saying

2x²+x-4 = -2

add 2 to both sides to put everything on one side into a quadratic formula

2x²+x-2 = 0

To factor this, we first can identify, in ax²+bx+c, that a=2, b=1, and c=-2. We must find two values that add up to b=1 and multiply to c*a = -2  * 2 = -4. As (2,-2), (4,-1), and (-1,4) are the only integer values that multiply to -4, this will not work. We must apply the quadratic formula, so

x= (-b ± √(b²-4ac))/(2a)

x = (-1 ± √(1-(-4*2*2)))/(2*2)

= (-1 ± √(1+16))/4

= (-1 ± √17) / 4

when f(x) = -2

Next, we can solve for when f(x) = 16

2x²+x-4 = 16

subtract 16 from both sides to make this a quadratic equation

2x²+x-20 = 0

To factor, we must find two values that multiply to -40 and add up to 1. Nothing seems to work here in terms of whole numbers, so we can apply the quadratic formula, so

x = (-1 ± √(1-(-20*2*4)))/(2*2)

= (-1 ± √(1+160))/4

= (-1 ± √161)/4

Our two values of f(x) = -2 are (-1 ± √17) / 4 and our two values of f(x) = 16 are (-1 ± √161)/4 . Our vertex is at x=-0.25, so all values less than that are going down and all values greater than that are going up. We can notice that

(-1 - √17)/4 ≈ -1.3 and (-1-√161)/4 ≈ -3.4 are less than that value, while (-1+√17)/4 ≈ 0.8 and (-1+√161)/4 ≈ 2.9 are greater than that value. This means that when −2 ≤ f(x) ≤ 16 , we have two ranges -- from -3.4 to -1.3 and from 0.8 to 2.9 . Between -1.3 and 0.8, the function goes down then up, with all values less than f(x)=-2. Below -3.4 and above 2.9, all values are greater than f(x) = 16. One thing we can notice is that both ranges have a difference of approximately 2.1 between its high and low x values. The question asks for a value of a where a ≤ x ≤ a+3. As the difference between the high and low values are only 2.1, it would be impossible to have a range of greater than that.

7 0
2 years ago
1 A large bottle holds 250% as much water as a small bottle. If the small bottle holds 12 ounces of water, how many ounces of wa
DENIUS [597]

Answer:

30!

Step-by-step explanation:

250% as much

small bottle holds 12 ounces of water

12*2=24+6=30

4 0
3 years ago
How are number lines and the coordinate plane related?
schepotkina [342]
a coordinate plane is a two-dimensional number line where the vertical line is called the y-axis and the horizontal is called the x-axis. And a number line is
a line on which numbers are marked at intervals, used to illustrate simple numerical operations. So how are the related........?
8 0
3 years ago
The ratio of the number of male lions to female lions in the animal reserve is 21:20. If there are 123 lions in the animal reser
Vanyuwa [196]
21 + 20 = 43

Total is 123, so divide by 43.

123/43 = 2.86 rounded to 3.

(females) 20 x 3 = 60 female lions 
7 0
3 years ago
Other questions:
  • Please help me with this !
    10·1 answer
  • 40 is what percent of 50
    15·2 answers
  • -6x+4=-2 what does x equals
    6·2 answers
  • Plz help me I can't figure it out
    10·1 answer
  • Solve the equation to this problem
    8·2 answers
  • Suppose that a randomly generated list of numbers from 0 to 9 is being used
    12·2 answers
  • Here's another pls help​
    8·1 answer
  • Find the slope of the line through the given pair of points. (-7, 16), (-18, 18)​
    14·1 answer
  • Tessellations
    15·1 answer
  • The process of grouping and assigning values to various responses from the survey instrument is called
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!