The first statement in a formal proof is given.
What should always be the first statement in a formal proof?Remember to always begin our proof with the given information, and complete our proof with what you set out to deliver. As long as you do that, utilize one reason at a time, and only utilize definitions, postulates, and different theorems for your reasons, your proofs will float like a mountain stream.
The most familiar form of explicit proof in high school geometry exists as a two-column proof that consists of five parts: the given, the proposition, the statement column, the reason column, and the diagram (if one exists given).
Therefore, the correct answer is option b) Given.
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SOMEONE PLZ HELP ME
In the following inequality, x ≥ −2, what type of circle would appear on the number line (open or closed circle) and in which direction would the arrow point on the number line(right or left)?
Also, what is a possible solution to x ≥ −2?
Please answer all of the questions in sentence form.
Answer:
this would be a closed circle all innequalities with a greater to or equal to or less than or equal to they will always be closed if it just says less than or greater than it will be open
Step-by-step explanation:
Answer:Closed Circle To the right
in the figure, c // d. What are the measures of <1 and <2? Enter your answers in the boxes. Just write the numbers. (not the degree symbols)
Answer: <1 = 105° and <2 = 75°
Step-by-step explanation:
The information we have is the 75 degree angle already provided. Using our knowledge on transverses we know a 180 degree angle is a straight line (we happen to have two of these (c and d)). Using the corresponding angle theorem we know angle 2 is equivalent to 75 degrees. Supplementary angles refer to angles that add up to 180 degrees. Angle 1 and 2 are supplementary so from there we solve.
180 - 75 = 105
<1 = 105 degrees
Two observers are standing on shore ½ mile apart at points A and B and measure the angle to a sailboat at a point C at the same time. Angle A is 63° and angle B is 56°. Find the distance from each observer to the sailboat. Round to the nearest hundredth of a mile.
Answer:
Step-by-step explanation:
The length 0.51 miles and 0.47 miles are the distances from each observer to the sailboat.
What is the Sine Rule?The Law of Sines (also called the Sine Rule) is defined as it relates all three sides of a triangle with an angle of a triangle.
Triangle is a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry.
As per the given question, the given data as:
A = 63
B = 56
C = 61 (because these angles should add up to 180)
c = 1/2
We know that the Sine Rule,
sin 63 / a = sin 61 / .5
a = 0.51 miles
sin 56 / b = sin 61 / .5
b = 0.47 miles
Therefore, the length 0.51 miles and 0.47 miles are the distances from each observer to the sailboat.
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Need help please I don’t understand this question
Answer:
a) 9
Step-by-step explanation:
f(2) basically equals to y when x=2 and the y coordinate at x=2 is 9
find the volume of the cylinder!
Use 3.14 for pi-
round your answer to the tenths place !!
Will mark b if correct:)
Answer: this is the answer i got before rounding it 2123.72 but your answer is 2123.7 hope it helps
Step-by-step explanation:
A company makes wax candles shaped like rectangular prisms. each candle is 5 cm long, 2 cm wide and 12 cm tall. if the company used 5040 cm^3 of wax, how many candles did they make ?
Answer:
[tex]42[/tex]
Step-by-step explanation:
V=whl=2·12·5=120,
5040 divided by 120= 42
Find the length of the third side. If necessary, round to the nearest tenth. 9 14
Answer:6
Step-by-step explanation:
Answer:
10.7 on deltamath
Step-by-step explanation:
Which quadrilateral makes this statement true?
Quadrilateral ABCD
В
46
26
26
A (98
98)
118
11.7 11.7
D
Quadrilateral ABCD
Answer:i have no idea
Step-by-step explanation:
Does n e one get t?
what is 12 divided by 25358
0.0004732
12/ 25358
answer depends if you want to round it
Find the area of the trapezoid.
What is the area of a trapezoid with bases of 19.6 yd and 29.7 yd and a height of 19.1 yd?
Answer:
470.81 or 470.815
Step-by-step explanation:
Help me please aahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
really confused about this
Answer:
.22/63
Step-by-step explanation:
area = pi x R^2
A=22/7 * 1/3^2
What is ?
A.20º
B.70º
C.90º
D.180º
Answer:
i think it is 90
Step-by-step explanation:
remember the line is srait
3/4•3/4???? I can’t do it in my head and I don’t know how to make a decimal into a fraction
Answer:
0.5625
Step-by-step explanation:
3/4 as a decimal is 0.75
0.75×0.75=0.5625
Answer:
0.75 x 0.75 = 0.5625
Step-by-step explanation:
3/4=.75
Giving brainliest, easy question
A circle is centered at (5, −9) and has a radius of 12. Which of the following is the equation for this circle?
(x − 5)2 + (y + 9)2 = 12
(x − 5)2 + (y + 9)2 = 144
(x + 5)2 + (y − 9)2 = 144
(x + 5)2 + (y − 9)2 = 12
Answer:
(x − 5)2 + (y + 9)2 = 144
Step-by-step explanation:
Hope this helps
A teacher takes her nephew shopping. She tells her nephew that they can spend x dollars knowing
that 16x = 641.6.
What operation does the nephew need to use to find how much money they can spend?
Choose the correct answer below:
A.Addition
B. Division
C. Multiplication
D. Subtraction
Answer:
division
Step-by-step explanation:
division so as to find the value of x
If you bought a stock last year for a price of $103, and it has risen 7% since then, how
much is the stock worth now, to the nearest cent?
Answer:
the stock is worth $110.21
Step-by-step explanation:
The first thing you want to do is multiply 0.07 and 103, to find out what 7% of 103 is. When you multiply those two numbers you are going to get 7.21. You are then going to add 103 and 7.21 to find out how much it would be worth now.
Answer:
$110.21
Step-by-step explanation:
well 7% of 103 is 7.21 so if you add that to 103 it = 110.21
Help ASAP pls now and thank u
Answer:
A)25
Step-by-step explanation:
5 x 5 = 25
Answer:
B.......
because to work out the area of a sphere we use
4 pie (r)²
The table shows the bowling scores for Bill and Tonya in a given game set.
Who is a better bowler based on the median scores, and why?
Pls no links
Solve the system of linear equations. 3x−2y=1 9x−6y=3
Time Remaining56:19m:s When I have walked 20 % of the way to school, I have 1200 metres more to walk than when I have 20 % of the walk remaining. How far, in metres, is it from my home to my school?
Answer:
x = Total distance from your home to school = 1,500 meters
Step-by-step explanation:
Let
x = Total distance from your home to school
When you walked 20% of the way to school, you still have 1200 meters more to walk
Walked distance = 20% of x
= 20/100 * x
= 0.2 * x
= 0.2x
Total distance - walked distance = 1200 meters
x - 0.2x = 1200
0.8x = 1200
x = 1200 / 0.8
x = 1,500 meters
x = Total distance from your home to school = 1,500 meters
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
Carl is correct. So the 2nd option
Step-by-step explanation:
A rectangle- a quadrilateral
it also had 4 sides and vertices.
I hope this Helps!
Can some one help me on 11- 12
Answer:
11. 6 feet 12. 140 inches cubed
Step-by-step explanation:
To get the cylinder use the formula [tex]h=\frac{V}{\pi r^{2} }[/tex].
To get the volume on the laptop use the formula volume=length x width x height.
A restaurant wants to study how well its salads sell. The circle graph shows
the sales over the past few days. If 5 of the salads sold were garden
salads, how many total salads did the restaurant sell?
The restaurant sold salads over the past few days.
Answer:
20 total salads
Step-by-step explanation:
If garden salads make up 25%, and they sold 5 garden salads, you have to do 5 times 4 because 25% times 4 is 100% of the chart.
I need help ASAP will give brainliest
Divide 1000 into two parts such that one part is a multiple of 47 and the other is a multiple of 19 ( Show me your working)
= 1000
I know
I think hope this helps
Can u help solve this step by step?
Answer:
[tex]\sqrt{28}[/tex]
Step-by-step explanation:
It is given that the triangle (QRS) is right, thus one can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states,
[tex](a)^2+(b)^2=(c)^2[/tex]
Where (a) and (b) are the legs or the sides adjacent to the right angle and (c) is the hypotenuse or the side opposite the right angle. The unknown side in the triangle is a leg, thus, let (b) represent this value. Substitute in the given values and solve,
[tex](6)^2+(b)^2=(8)^2\\\\36+b^2=64\\\\b^2=28\\\\b=\sqrt{28}[/tex]
Please no links :) giving brainliest, try to answer as soon as you can :)
Answer:
102,9 cm^2
Step-by-step explanation:
First of all we can find the area of the two rectangles at the sides of the figure
A rectangle = length x width = 8 x 4 = 32 cm^2
the rectangles are two so:
32 x 2 = 64 cm^2
for the figure in the center we can proceed like this: we can initially assume that also it is a rectangle, so we have to find the length
length = 16-8 = 8 cm
A = 8^2 = 64 cm^2 (so we have discovered that is a square)
if we look we can see that there is also a semicircle that is not part of the figure. We have to find its area and subtract it to the area of the square
A semiciricle = (radius^2 π)/2
radius = 8/2 = 4 cm
A semicirlce = (4^2) π/2 = 25,13 cm^2
64 - 25,13 = 38,87 cm^2
At least we have to added up this value to the area of the two rectangles
total area = 38,87 + 64 = 102,87 = 102,9 cm^2
Solve the equation by graphing. x^2-7x+12=0
Answer:
the answer is GH mm djmwshdnsnda
what is the midpoint of AC on the grid below
Answer:
(-1,1)
Step-by-step explanation:
Answer:
-1 , 1
Step-by-step explanation:
This formula is used to calculate the area of a circle using the diameter:
A= 1/4πd².
Rearrange the formula to calculate the diameter of a circle.
d = _____
Answer:
d= 2√a/π
To calculate the diameter, rewrite the formula to isolate D
Because a negative diameter doesn’t make sense, eliminate the negative answer from the solution
Simplify further to get the solution
The formula to calculate the diameter of the circle is d = 2 √( A/π )
where d = diameter of the circle
A = area of the circle
What is a Circle?
A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The perimeter of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle
Given data ,
Let the radius of the circle be = r
So , the diameter of the circle = 2r
Now , the area of the circle = πr²
Substituting the value for r , we get
Area of the circle = ( 1/4 ) πd²
So , A = ( 1/4 ) πd²
Now , solving the equation for diameter of circle d , we get
Multiply by 4 on both sides of the equation , we get
πd² = 4A
Divide by π on both sides of the equation , we get
d² = 4A/π
Taking square roots on both sides of the equation , we get
d = 2 √A/π
Therefore , the value of d is 2 √A/π
Hence ,
The formula to calculate the diameter of the circle is d = 2 √( A/π )
where d = diameter of the circle
A = area of the circle
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