Answer:
Here OP bisect ∠BOC
∴∠POC=∠BOP …………(i)
and OQ bisect ∠AOC
∴∠AOQ=∠COQ …………….(ii)
and ∠AOB=180
o
[∵AOB is a straight line]
⇒∠BOP+∠DOC+∠COQ+∠AOQ=180
o
⇒∠POC+∠POC+∠COQ+∠COQ=180
o
[using (i) & (ii)]
⇒2∠POC+2∠COQ=480
o
⇒2(∠POC+∠COQ)=180
o
⇒2∠POQ=180
o
⇒∠POQ=90
o
.
Tell whether the equation has one, zero, or infinitely many solutions.
6(x - 2) +6=6x - 6
Line p has a slope of -7/8
Line q is parallel to line p. What is the slope of line q?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
The slope of line q is [tex]-\frac{7}{8}[/tex].
Step-by-step explanation:
We know that line p has a slope of [tex]-\frac{7}{8}[/tex], and that line p and line q are parallel. Parallel lines always have the same slope. Thus, the slope of line q must be [tex]-\frac{7}{8}[/tex] as well.
find the length of the bold arc. Round your answer to the nearest tenth.
Answer:
62.83 m
Step-by-step explanation:
Given that,
The radius of the circle, r = 15 cm
Major angle = 240°
We need to find the length of the bold arc. The formula used to find the arc length is given by :
[tex]l=\dfrac{\theta}{360}\times 2\pi r\\\\=\dfrac{240}{360}\times 2\pi \times 15\\\\=62.83\ m[/tex]
So, the length of the bold arc is equal to 62.83 m.
Quadrilateral abcd is rotated 90 degrees clockwise about the origin. What are the coordinates of A'B'C'D?
Answer:
your answer is A
Step-by-step explanation:
have a nice day!! ^_^
The coordinate of A` is (5,5) , the coordinate of B` is (5,1), the coordinate of C` is (2,1) and the coordinate D` is (1,5).
What is the coordinate of a point?A pair of number that describes the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinate of a point. Coordinates are usually denoted by (x, y).
From the figure we can see that A` is 5 unites right of vertical line and 5 unit upward the horizontal line. So, the coordinate of A` is (5,5).
Similarly, B` is 5 unit right of vertical line and 1 unit upward the horizontal line. So, the coordinate of B` is (5,1).
C` is 2 unit right of vertical line and 1 unit upward the horizontal line. So, the coordinate of C` is (2,1).
And, D` is 1 unit right of vertical line and 5 unit upward of horizontal line. So, the coordinate of D` is (1,5).
Hence the coordinates of A`B`C`D` is (5,5), (5,1), (2,1) and (1,5) respectively.
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1. What is the equation of the line that is perpendicular to the line y = -2x + 12 and
passes through point (-2, 8)?
A. y = 1/2x - 7
B. y = -1/2x +7
C. y = 1/2x + 7
D. y = -1/2x - 7
The distance to Charlotte is 60 miles more than twice the distance to Wilmington. If w represents the distance to Wilmington, which expression represents the distance to Charlotte?
60w
2w + 60
60w + 2
100w + 60
Answer:
2w + 60
Step-by-step explanation:
60 miles more than twice the distance -
2w + 60 | Multiply the distance to wilmington by two, then add 60 miles.
Y = 1/2x + 3 on a graph
Answer:
Step-by-step explanation:
What is the question? If you want to know how to graph this equation, it's usually easiest to start with the intercepts, i.e., the points where the line crosses the axes.
y = ½x + 3 tells you that the line crosses the y-axis at (0,3), so plot that point.
Then let y = 0 and solve for x.
0 = ½x + 3
x = 6
The line crosses the x-axis at (6,0), so plot that point as well.
Then draw the line passing through those two points.
Help me please
What’s the slope of the line passing through
(-2, -8)and (-3,-9)
Answer:
Positive one
Step-by-step explanation:
Can some one help me please?
Answer:
3x^3-2x^2-4x+2( option A) remainder= 7
Step-by-step explanation:
The graph of y = 3*:
this is the answer. this should help
Describe where the line of reflection is in this picture.
Answer:
the line is in the grass because it divides and reflects the sky and mountain.
Answer:
The line of reflection in the picture above is on the x-axis.
Step-by-step explanation:
The line of reflection is the mirror line; the line across which a figure is "flipped" and in this case, the line of reflection is on the x-axis.
PLEASE HELP !!!!!!!!!!!!!!!!!!!
Any help ?!?!?!?!?!??
Answer:
D)
Step-by-step explanation:
Use Pythagorean theorem,
Hypotenuse² = 16² + 8²
= 256 + 64
= 320
hypotenuse = √320 = √2*2*2*2*2*2*5 = 2*2*2√5 = 8√5
Csc Ф = Hypotenuse/opposite side
[tex]= \frac{8\sqrt{5}}{8}\\\\=\sqrt{5}[/tex]
Decrease £250 by 15% I will give you 5 stars
Answer:
37.5
Step-by-step explanation:
10%=25
5%=12.5
what is the domain of the function y=√x+4?
-oo<x<oo
-4<x<oo
0<x<oo
4<x<oo
Answer:
4
Step-by-step explanation:
The domain of the function; y=√x+4 as given in the task content is; 0<x<oo.
What is the domain of the function?From the function; y=√x+4 given in the task content; it follows that the domain of the function is the set of all possible values of x.
On this note, the possible values of x from √x includes all positive numbers as any negative value of x renders the a complex number.
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A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t, where t equals the time in seconds and h(t) represents the height of the ball at time t seconds. What is the axis of symmetry, and what does it represent?
t = 3; It takes the ball 3 seconds to reach the maximum height and 3 seconds to fall back to the ground.
t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.
t = 1.5; It takes the ball 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.
t = 1.5; It takes the ball 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.
Answer:
The function is a parabola of the form . The the formula for the axis of symmetry of a parabola is. So it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.
Answer:
D. it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.
Vlad spent 20 minutes on his history homework and then completely solved x math problems that each took 2 minutes to complete. What is the equation that can be used to find the value of y, the total time that Vlad spent on his homework, and what are the constraints on the values of x and y?
y=2x+20; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20.
y=2x+20; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20.
y=20x+2; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20.
y=20x +2; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20.
Answer:
The answer is A. y = 2x + 20; x is any integer greater than or equal to, 0 and y is any integer greater than or equal to 20
Step-by-step explanation:
Gavin, Harry and Isabel each earn the same monthly salary.
Each month,
Gavin saves 28% of his salary and spends the rest of his salary
3
Harry spends
of his salary and saves the rest of his salary
4
the amount of salary Isabel saves: the amount of salary she spends = 3:-
Work out who saves the most of their salary each month.
You must show how you get your answer.
Answer:
isabel saves the most of their salary each month
Step-by-step explanation:
Let us assume the Salary of Gavin, Harry & Isabel be $100
Since
Gavin saves 28%
So his saving amount is Gavin
= 28% of $100
= $28
As harry spends 3 ÷ 4 of his salary
So Harry Spenings is
= (3 ÷ 4) of $100
= $75
Now
Harry Saving is
= $100 - $75
= $25
Also the ratio between isabel saves, and spend is 3:7
3k + 7k = 10k = 100S
k = $10
Now
the amount of salary isabel saves
= 3k
= 3 × $10
= $30
Now
$30 > $28 > $25
i.e.
isabel Saving > Gavin Savings > Harry Savings
Hence, isabel saves the most of their salary each month
How many solutions does the nonlinear system of equations graphed below have?
A. Zero
B. Two
C. Four
D. One
Answer:
B. two
Step-by-step explanation:
The solution of the given graph will be one hence option (D) will be correct.
What is a graph?A graph, which is a diagrammatic depiction of a network, describes the connection between lines and points. A graph consists of various points and the separation between two of them.
It doesn't matter how much time the lines are or where the points are located. A node is a name for each constituent in a graph.
For example to draw the equation y = 6x +9 this will draw a straight line in the coordinate geometry.
The solution of any equation is a point of intersection of a graph as we can see that the graph which is present in the question has only one intersection so there will be only one answer.
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* You may use a calculator on this question.
A circle has a radius of 23.85 inches.
What is the circumference of this circle?
Use 3.14 for pi. Round your final answer to the nearest tenth.
74.9 inches
1786.1 inches
149.8 inches
Please help
The circumference formula is 168.6
where r is the radius given to us as 26.85, and pi is to be 3.14. In our formula then, we have
.
Doing that multiplication and rounding to the nearest tenth leaves us with a circumference of 168.6 inches.
If y varies inversely as x, and y = 4 when x = 16, what is the value of y when x = 8?
I suppose that the value of y equals 2, seems how 4 times 2 what equal 8 and 8 times 2 would equal 16
The area of a rectangle is 14 square units. It has side lengths a and b. Given the following value for a, find b. a = 2 & 1/3
Given:
The area of a rectangle = 14 square units.
The side lengths are a and b.
[tex]a=2\dfrac{1}{3}[/tex]
To find:
The value of b.
Solution:
We know that, the area of a rectangle is:
[tex]Area=Length\times Width[/tex]
The area of the given rectangle is:
[tex]14=a\times b[/tex]
[tex]14=2\dfrac{1}{3}\times b[/tex]
[tex]14=\dfrac{2(3)+1}{3}b[/tex]
[tex]14=\dfrac{6+1}{3}b[/tex]
On further simplification, we get
[tex]14=\dfrac{7}{3}b[/tex]
[tex]14\times 3=7b[/tex]
[tex]42=7b[/tex]
Divide both sides by 7.
[tex]\dfrac{42}{7}=b[/tex]
[tex]6=b[/tex]
Therefore, the value of b is 6 units.
1/4 equals Z /20 what does z equal
Answer:
5
Step-by-step explanation:
Find the value of the variable. Write all answers in simplest radical form. Show your work
Answer:
x = 4.5
Step-by-step explanation:
By geometric mean theorem:
[tex] {3}^{2} = 2 \times x \\ \\ 9 = 2x \\ \\ x = \frac{9}{2} \\ \\ x = 4.5[/tex]
Simplify 4g-6h-5g-3g+10h+6g
Answer:
2g + 4h
Step-by-step explanation:
[tex]\text{Combine Like Terms.}\\\\\\4g-6h-5g-3g+10h+6g\\\\4g-5g-3g+6g -6h+10h\\\\\boxed{2g+4h}[/tex]
Hope this helps!
Need help will give you the brainliest
Answer:18.4
Step-by-step explanation:add
A man runs at a speed of 8 m/s for 15 seconds. Calculate how far it travles.
Answer:120 meters
Step-by-step explanation:
8 × 15
Answer:
120 m
Step-by-step explanation:
Speed = 8 m/s
Distance traveled in 1 sec = 8 m
Distance traveled in 15 sec = 8 * 15 = 120 m
What is 48 minutes as a fraction of one What is 48 minutes as a fraction of one hour? Give your answer as a fraction in its simplest form.hour? Give your answer as a fraction in its simplest form.
Answer:
Братан,ну я незнаю
Сорян ай донт ноу или как хз
Го ты лучше к нам перееедешь и рускому будешь учится нах тебе этот английский короче кетшей нахуй тупой жынды.
what is the length of AD
A. 1
B. 2
C. 3
D. 4
Answer:
B
Step-by-step explanation:
it's basically divided
the sitting and the time frame of the story the ravine
Answer
umm, wheres the question?
Step-by-step explanation: