A kite is a quadrilateral with two pairs of adjacent, congruent sides. The vertex angles are those angles in between the pairs of congruent sides. Prove the diagonal connecting these vertex angles is perpendicular to the diagonal connecting the non-vertex angles. Be sure to create and name the appropriate geometric figures. This figure does not need to be submitted
Answers
a^2 = r^2 + z^2
b^2 = r^2 + z^2
sen m = z/a
cos m = r/a
hence by the law of sines and cosines:
sen^2 m + cos^2 m = 1
(z/a)^2 + (r/a)^2 = 1
z^2/a^2 + r^2/a^2 = 1
substitue first equation value for a^2
z^2/(r^2 + z^2) + r^2/(r^2 + z^2) = 1
which proves that in fact is a triangle rectangle due to Pythagoras and sine-cosine laws, the same procedure can be follow for the other rectangle triangule in teh figure.
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PLZZZ HELP 30 POINTSSS!!! Select the correct answer.Which point of intersection is the solution to the system of equations and ?
An angle that contains 126 degrees and 32 minutes is a(n) ____________ angle. A. right B. acute C. straight D. obtuse
Work each problem and connect the answers in order.1) 7 + -12 + −3 2) 2+ 8 + 7+-6 3) 13+12+12 11) -2- -6 12) -2--1 13) -15 - 4 14) 7-19 15) 5--20 6-18 + 16+ -12 + 5 16) -24 --2 7) 3.4 +2.7 +1.3+-1.2 17) −2+ -7 -1 8) + 7 + 7 + 7 3 9) -4-7 10) 2--5 17 +13 +13 +37 5) 24 +19+5 +3 21) -3 + 7 + 18 22) 14--3-4--1 23) 27-3+-24 24) (14--6)-(-5-13) 25) 10 - (5 +-7--2) 26) (-3--10) -[(5-8)+-10] 1 27) (-4--2) + (-16-5) 28) (27−−6) +-6 18) 7--13-12 19) -15--3-8 29) 27 - (-6 + −6) 20)-1-13 +-17 30) (16-4) - (8 +12)
Answers
the square root of a number is: one number times itself equals that number. Confusing '-' An example is the square of 4 is 2 because 2 times 2 = 4, or the square root of 56 is 8 because 8 times 8 is 64. The square root of 175 is about 13.22875 because 13.22875 times 13.22875 = about 175
Answers
During a dilatation of ratio k (length ratio),
area are multiplied by k² and volume bu k^3.
A)
(2/9)²=4/81 answser A
B) (3/5)²=9/25 Answer D
we know that
If two solids are similar
then
the ratio of their corresponding sides are equal and is called the scale factor
Part 1)
In this problem
The ratio of their surface areas is equal to the scale factor squared
therefore
the answer is the option A
Part 2)
In this problem
The ratio of their surface areas is equal to the scale factor squared
therefore
the answer is the option D
Answers
2/5 x 4 = 8/20
2/4 x 5 = 10/20
= 18/20
= 9/10 (simplified)
Answers
Answer:
Graph is option A
Step-by-step explanation:
3x + 5y = –15
To graph the equation , we need to get y alone
Subtract 3x on both sides
Divide whole equation by 5
To graph this equation , we need to make a table
Plug in some number for x and find out y
x
0 -3
-5 0
Two points on the graph is (-5,0) and (0,-3)
Graph is option A
Answers
Answer:
- A cross-sectional study.
Step-by-step explanation:
A Cross-sectional study is demonstrated as the type of observational study in which the data or a representative subset of a population collected at a particular point in time is analyzed.
As per the given details, the observational study conducted by the research company would exemplify 'a cross-sectional study' as it aims to evaluate the data('viewing habits of about 50005000 households) collected at a specific point in time i.e. 'today' in order to 'determine the proportion of households tuning to a particular sports program.'
$43 dinner; 18% gratuity
Answers
The total cost of the dinner with gratuity is $50.74Add the gratuity to the regular price. Method 2: Add the percent of gratuity to 100%. 100% + 18% = 118% The total cost is 118% of the bill. Method 1: Add gratuity to the regular price. Find the gratuity.
So just the gratuity by itself is $7.74. If you want to know the entire bill you can add up the meal and the gratutiy like so
Another way to do it is to recognize that you are paying for 100% of the meal and then paying antoher 18% AGAIN for a total of 118% or 1.18. If you do this you get the same answer: