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
Liono4ka [1.6K]
3 years ago
5

A certain kite has exactly one acute angle, and it measures 16 degrees. What is the maximum whole-number measure of the angle op

posite of that angle?​
Mathematics
1 answer:
kvv77 [185]3 years ago
4 0

Answer:

In order to do so, we need to use basic algebra. The angles in a kite add up to 360 degrees. so we form the following equation.

x + y + y + 16 = 360

x + y + y = 344 <----(360 -16)

Each letter or variable represents an angle measure. the measures of the three angles left. The 16 degrees is on the bottom of the kite and the angle opposite is the top angle. the two side angles will be the same measure that's why they are both y.

x + 2y = 344

The two side angles will be 90 or greater because there is only 1 acute angle. 90 is the smallest number that can be chosen. so we do the following.

Step-by-step explanation:

x + 2(90) = 344

x + 180 = 344

x = 344-180

x = 164

THE MAXIMUM WHOLE NUMBER MEASURE OF THE ANGLE OPPOSITE OF THE 16 DEGREE ACUTE ANGLE IS 164 DEGREES*

You might be interested in
The midpoint of AB is (-4,7) and point A is
levacccp [35]
Ok so, this one is a confusing one for me but what I recomend is going on a website call desmos , they have a graphing area there and use y=-4x-7 if I’m right, I do not know so don’t trust me on this
4 0
3 years ago
Pre-calc, image attached
makvit [3.9K]

Answer:

\lim_{x \to 7} \frac{\sqrt{x+2}-3 }{x-7} = \frac{1}{6}

Step-by-step explanation:

\lim_{x \to 7} \frac{\sqrt{x+2}-3 }{x-7}

\frac{\sqrt{x+2}-3 }{x-7}

\frac{\frac{1}{2} (x+2)^{-\frac{1}{2} }}{1} <-- Take derivative of numerator and denominator expressions

{\frac{1}{2} (x+2)^{-\frac{1}{2} }} <-- Simplify

\frac{1}{2}(\frac{1}{\sqrt{x+2} }) <-- Rewrite

\frac{1}{2}(\frac{1}{\sqrt{7+2} }) <-- Use direct substitution and plug in the limit x=7

\frac{1}{2}(\frac{1}{\sqrt{9} })

\frac{1}{2}(\frac{1}3 })

\frac{1}{6}

Therefore, \lim_{x \to 7} \frac{\sqrt{x+2}-3 }{x-7} = \frac{1}{6}

4 0
3 years ago
Correct I’ll give brainlist no links or I’ll report
SpyIntel [72]

Answer:

The point-slope form in the graph below of the line is 0-2=-2(6-5) because of the point I chose that rests on the x axis (6,0) and the specific formula being used, which is y-y₁=m(x-x₁). It can also be y=2x-12 if you're looking for slope-intercept, because the line crosses 12 and is going down, hence the negative.

Step-by-step explanation:

0 can be found by finding the second point. In this case, the second point would be 0 because I chose (6,0) as my second coordinate. 2 can be found because of the first point, whose coordinates are (5,2). Now that the coordinates are known, I can find the rest of the point-slope equation.

Here's what we got so far: 0-y₁=m(6-x₁)

This is the part where the coordinates of the point given are used. The coordinates of the point given are (5,2). Plug 5 in for x₁ because x₁ is for the x of the given point, and plug 2 in for y₁, because y₁ is the y of the given point, and the coordinates I selected for the second ungiven point are (6,0).

Here's what we have now: 0-2=m(6-5)

Finding the "m" will be easy, because the "m" is the slope, and the slope is negative because the line is going down. To find the slope you will have to go 2 down from the point and 1 to the right. Then, you'll find out the slope is -2 and why I chose my second point to be (6,0)

The equation, after finding all the data, is 0-2=-2(6-5)

5 0
3 years ago
Maria has a paper route with 100 customers. She delivers a paper to each customer once a
olga2289 [7]

Answer: 9

Step-by-step explanation:

25x9 = 250+ tax

5 0
3 years ago
Mrs. Wilson wants to buy a portable TV for her kitchen. She has space on her counter for a TV that is 18 inches high by 15 inche
ira [324]
Leg^2+leg^2= hypotenuse^2
18^2+15^2=x^2
324+225=x^2
549=x^2
Find the square root of 549
Your answer is approximately 23.43 inches.
7 0
3 years ago
Other questions:
  • The volume of a cylinder with a height 3 ft of a and a radius of 4ft
    7·1 answer
  • 7/9 Has how many 1/3s in it?
    5·1 answer
  • Simplify this power raised to a power: (54)4 1. Expand using four factors of 54:         54 ∙ 54 ∙ 54 ∙ 54 2. Apply the product
    5·2 answers
  • Which measurement best represents the height of a flag pole? (A)10 inches(B) 10 yards(C) 10 miles (D)
    7·1 answer
  • What is the y-intercept of this equation? y = -2x + 1
    14·2 answers
  • Find three consecutive integers such that the sum of the 1st and 3rd is 60.
    14·1 answer
  • Suppose a data set of 350 observations (N 350) was analyzed using OLS to examine the factors that influence the salaries of prof
    5·1 answer
  • The triangle on the right is scaled copy of the triangle on the left identified the scale factor
    13·1 answer
  • 12x3-3x2=0 solve the equation by factoring
    11·1 answer
  • Aaron has a garden with a width of 6 feet and a length of 8 feet. He plans to make his garden larger by adding g feet to the len
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!