The diagram shows a regular pentagon with centre O.
Answer:
56
Step-by-step explanation:
The size of angle x is 54°.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
All the diagonals of a pentagon are equal so, their opposite angles of equal diagonals are also equal.
The angle 'O' is a complete angle
∴ ∠O = 360°
Angle between diagonals =360/5= 72°
The sum of all interior angles of triangle is 180°
x+x+ 72°=180°
2x=180-72
2x=108°
x=54°
Hence, the size of angle x is 54°.
To learn more on Triangles click:
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please help me with question b) and please explain!!
look at the attached image
Answer:
17
Step-by-step explanation:
let x be the number of boxes to be shaded to make it 80%
x = 80% of total number
= 80/100 of 25
= 80/4
= 20
So 20 need to be shaded to fill 80%
Now, 13 of the grids are already shared so the amount of more squares that need to be shaded = 20-13
= 17 squares
I WILL MARK YOU BRAINLIEST!!!!
Answer:
0; one real roots
* the answer is C
In a survey of 150 people, 60 like cricket only 40 like football only
and 30 do not like them, by drawing Venn-diagram firid the number
of people who like both:
[tex]the \: answer \: is \: 20. \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
There is a bag filled with 3 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting exactly 1 red?
Answer:
4/6 chance
One is taken at random, we do not know the colour so we just take away 1 from both colours, this leaves us with 4/6 chance.
Select all that apply.
Which of the following name a line in the drawings
Answer:
DB
It's the only line that is not a segment.
Step-by-step explanation:
Corey and David both have lots of video games. The number of games Corey has can be represented by x . Ricky has 3 times as many games as Corey. The total number of games is 64 . What is x, the total number of games Corey has?
Answer:
21.3333333
Step-by-step explanation:
64/3=x
64/3=21.3333333
Sorry if its wrong.
Find median of the data. 14, 18, 16, 122, 22, 19, 12
Answer:
18
Step-by-step explanation:
The order from least to greatest is 12,14,16,18,19,22,122.
The middle number is 18 because there is 3 numbers next to 18 on the right which is 19,22,122 and 3 numbers on the left which is 12,14,16. A median would be easier to find if there is an odd amount of numbers.
After reading 7/9 of a book , 40 pages are left .How many pages are there in the book
Answer:
180 pages
Step-by-step explanation:
Answer: 180 pages
Step-by-step explanation:
Let the equation be
x - 7/9x = 40
9x - 7x = 360
x = 360 / 2 = 180
The book has total 180 pages
Means he has read (180 - 40) = 140 pages
Answer the following Questions
Which of the following points lie on the x-axis?
A(1, 1), B (1.0). c (0,1)D (0,0), E (-1,0), F (0-1), G (4,0), H (0,7)
Answer:
B, D, E and G lies on X axis
What is the slope of the line shown?
Answer:1/2 slope
Step-by-step explanation:
Answer: -2
Step-by-step explanation: Using rise/run, take two points of the line. I took the points (3,1) (2,3). I then went down 2 (run) and then I went 1 to the right(run). Since the graph goes by 2, the equation is -4/2 resulting in the answer -2.
Summer looked at the formula for the Pythagorean Theorem, a2 + b2 = c2, she said that it didn’t matter which sides of a right triangle were a, b, and c. Is she correct? A. Yes, she is correct. B. No, a must be the shortest side, then b, and c is the longest side. C. No, c must be the shortest side, then b, and a is the longest side. D. No, a and b are interchangable, and c is the longest side.
Answer: D. No, a and b are interchangeable, and C is the longest side.
Step-by-step explanation:
Either A and B which are the two legs can be greater than the hypotenuse which is C. They hypotenuse has to always be greater than the two legs and the two legs have the same lengths but it can't be greater than the hypotenuse.
For example let's say you have a right angle with side lengths 3,4 and 5.
5 in this case has to be always the hypotenuse.
A could be either 3 or 4 but not 5
And B could also be 3 or 4 but not 5
because A squared plus B squared is always equal to the hypotenuse which is 5.
3^2 + 4^2 = 5^2
9 + 16 = 25
25 = 25
Answer:
D. No, a and b are interchangeable, and C is the longest side.
Step-by-step explanation:
if cos =5\13 and 90°≤ø≤180,evaluate cotø,secø,cosø
Answer: [tex]\bold{\cot\theta=-\dfrac{5}{12}\qquad \sec\theta = \dfrac{13}{5}\qquad \cos\theta = \dfrac{5}{13}}[/tex]
Step-by-step explanation:
90° ≤ θ ≤ 180° means that it is in Quadrant II → x is + , y is -
[tex]\cos \theta = \dfrac{5}{13}\quad \rightarrow\quad x = 5, \ r = 13\\\\\\\text{Use Pythagorean Theorem to find y}:\\x^2+y^2=r^2\quad \rightarrow \quad 5^2+y^2=13^2\quad \rightarrow \quad y = -12\\\\\\\cot\theta=\dfrac{x}{y}\quad =\dfrac{5}{-12}\quad =\large\boxed{-\dfrac{5}{12}}\\\\\\\sec\theta=\dfrac{r}{x}\quad = \dfrac{13}{5}\quad = \large\boxed{\dfrac{13}{5}}\\\\\\\cos\theta =\dfrac{5}{13}\quad \text{(Given)}\\[/tex]
a plane flies 1640 miles in 4 hours. what is the average speed of the plane?
Answer:
Speed = 410 miles/hour
Step-by-step explanation:
Speed = Distance / Time
Distance = 1640 miles, Time = 4 hours
Speed = 1640/4
Speed = 410 miles/hour
What the answer to this
Answer:
(2 x + 5) (x - 1) (x + 7) thus the answer is D.)
Step-by-step explanation:
Factor the following:
2 x^3 + 17 x^2 + 16 x - 35
The possible rational roots of 2 x^3 + 17 x^2 + 16 x - 35 are x = ± 1/2, x = ± 5/2, x = ± 7/2, x = ± 35/2, x = ± 1, x = ± 5, x = ± 7, x = ± 35. Of these, x = -5/2, x = 1 and x = -7 are roots. This gives 2 x + 5, x - 1 and x + 7 as all factors:
Answer: (2 x + 5) (x - 1) (x + 7)
Find the distance between the points.
(4,6),(9,6)
Answer:
5
Step-by-step explanation:
Find the difference between coordinates:
(x²-x1) = (9 - 4) = 5
(y²-y1) = (6 - 6) = 0
Square the results and sum them up:
(5)² + (0)² = 25 + 0 = 25
Now Find the square root
7. Diana took 2 hours to cycle from town X to town Y. Her average speed was 10 kilometers per
hour.
a) Find the distance between the two towns. (2 marks)
b) If her average speed was increased by 2 kilometers per hour, how much time would she take
for the journey? (2 marks)
Answer:
a.) 20 kilometers
b.)1.67 hours
Step-by-step explanation:
a.) formula= speed =distance/time
Speed= 10km/hr
Distance=unknown
Time=2hrs
Therefore from formula, distance=speed x time
10 x 2
20 kilometers
b.) If average speed is increased by 2km/hr then
total speed= 2+10=12km/hr
Distance remains constant therefore distance= 20km
Therefore time =distance/speed
20/12
= 1.67 hours
What is the slope of the line that contains the points (-23, -16) and (13, -16)?
Answer:
Use the slope formula to find the slope . m = 0
Step-by-step explanation:
Ans:
3/2. your welcome
Step-by-step explanation:
Which image shows -1 7/8 on a number line? A. B. C. D.
Answer:
The number line is attached below.
Step-by-step explanation:
The number to be plotted on the number line is:
[tex]x=-1\frac{7}{8}[/tex]
The value of x lies between -2 and 0.
Draw a number line from -2 to 0 with intervals at every one-eight value.
Mark the point at [tex]x=-1\frac{7}{8}[/tex].
The number line is attached below.
If GF = 3.2 ft, which is a possible measure of T5?
1.6 ft
3.0 ft
3.2 ft
4.0 ft
Complete Question:
In the triangles, TR= GE and SR=FE. If GF= 3.2 ft, which is a possible measure of TS?
Answer:
3.2ft
Step-by-step Explanation:
From the given information of the question, we can draft out the diagram of the triangles being depicted here. See attached picture showing triangles RST and EFG.
Since we are told that TR= GE, and SR = FE, it means both triangles are isosceles triangle a having 2 equal sides, and triangles RST and EFG are similar.
Also, given that the measure of the 3rd side (GF) of triangle EFG is 3.2ft, therefore, TS = 3.2ft
Answer:
c
Step-by-step explanation:
Solve for x in the diagram below.
3x
75°
T =
Answer:
x=35
Step-by-step explanation:
The 2 angles are on a straight line together. This means they are supplementary. When they are added together, they must equal 180 degrees.
3x+75=180
We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
75 is being added to 3x. The opposite of addition is subtraction. Subtract 75 from both sides.
3x+75-75=180-75
3x=180-75
3x=105
x is being multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.
3x/3=105/3
x=105/3
x=35
x is equal to 35.
Describe ways you could look at two shapes and tell that one is not the image of the other under a rigid transformation
Answer:
see below
Step-by-step explanation:
a rigid transformation preserves lengths and angles
if the shapes don't look the same or they are the same shape but smaller or bigger than the other one it's not a rigid transformation
if the corresponding angles are the same that works too
The Expression3(x-9) equivalent to
Answer:
3x - 27
Step-by-step explanation:
3(x-9)
Distribute
3x * -3*9
3x - 27
Answer:
Brainliest!
Step-by-step explanation:
it is equivialent to 3x-27
just simplify the equatoin
Equilateral triangle ABC has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle A to side BC at point
M.
What is the length of MC?
16 mm
0 24 mm
O 32 mm
O 48 mm
Answer:
Correct option: First one -> 16 mm
Step-by-step explanation:
The equilateral triangle has its three sides with the same length.
So if the perimeter is 96 mm, we have:
[tex]Perimeter = 3*side[/tex]
[tex]3*side = 96[/tex]
[tex]side = 32 mm[/tex]
The segment MA is the height of the equilateral triangle, and its length can be calculated with the equation:
[tex]height = \frac{side * \sqrt{3}}{2}[/tex]
[tex]height = 16\sqrt{3}[/tex]
Using the Pythagoras' theorem in the triangle ACM, we have:
[tex]side^2 = MC^2 + height^2[/tex]
[tex]1024 = MC^2 + 768[/tex]
[tex]MC^2 = 256[/tex]
[tex]MC = 16\ mm[/tex]
Correct option: First one
Answer:
(A) 16mm
Step-by-step explanation:
Please help!
there were 6000 people at a football match
10% of them left 2 minutes before the end of the game to avoid traffic
50% of the rest left as soon as the match ended
a) how many people in total had left the football match when it ended?
b) what percentage of the original crowd was still there?
10%+50%=60%
60% of 6000=3600
a)3600 people had left the match when it ended
b)6000-3600=2400
40% of the crowd was still there
URGENT!! Please help if you can!!
Does this represent a nonlinear function, liner function, or no function at all?
Answer:
Not a function.
Step-by-step explanation:
It is not a function since it does not pass the vertical line test.
Answer:
not a function
Step-by-step explanation:
you can test it out by sliding your pencil thru the graph and making sure
the function doesn't cross thru the pencil twice
Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!!
Answer:
Step-by-step explanation:
The answer is b
What represents the inverse of the function f(x)=4x?
Answer:
Dear user,
Answer to your query is provided below
The inverse of the function f(x)=4x is y=(x/4)
Step-by-step explanation:
To find the inverse function, swap x and y, and solve the resulting equation for x.
If the initial function is not one-to-one, then there will be more than one inverse.
So, swap the variables: y=4x becomes x=4y.
Now, solve the equation x=4y for y.
y=(x/4)
a parabola has its vertex at 1,1 and passes through the point -2,-2. Find the equation of this parabola
Answer:
Step-by-step explanation:1/2 of answer is zero
Answer:
y=1/3x^2+4/3 x -2/3
Step-by-step explanation:
y=1/3x^2+4/3 x -2/3
Sum of the ages of a father and the son is 40 years. If father's age is 3 times that of his son, then father's age is ________ * 2 points 35 40 30 45
Answer:
30
Step-by-step explanation:
Sum of ages= 40
Let the sons age be x
Fathers age = 3 times x or ,3x
So 3x+x=40
4x= 40
x= 40/4
= 10
Therefore the fathers age = 3x
= 3*10
= 30
