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Answers
The value of x is 84 degrees.
What is tangent to a circle?
The tangent line to a circle at a given point is the straight line that just touches the circle at the point.
A tangent to a circle is perpendicular to the radius at the point of tangency.
According to the question
we have to find the value of x.
Let us assume that a circle have a center at O. And Mark the end of the given chord P and Q.
Connect OP and OQ.
here,
OP = OQ
⇒∠OQP = ∠QPO
Now in triangle POQ, we have
⇒∠QOP + 2∠ OPQ = 180
⇒168 +2∠OPQ =180
⇒2∠OPQ = 12
⇒∠OPQ =6 degrees.
As we know that, tangent to a circle is perpendicular to the radius at the point of tangency.
⇒ x + ∠QOP = 90
⇒ x + 6 = 90
⇒ x = 90-6 = 84 degrees.
Hence, value of x is 84 degrees.
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Related Questions
Jessica is selling books during the summer to earn money for college. She earns a commission on each sale but has to pay for her own expenses. After a month of driving from neighborhood to neighborhood and walking door-to-door, she figures out that her weekly earnings are approximately a linear function of the number of doors she knocks She writes the equation of the function like this E(x)=7x-25where the number of doors she knocks on during the week and is her earnings for the week in dollars.Which of the following are reasonable interpretations of the -intercept of Jessica's function?Check all that apply.
A. She can earn $7 per week even if she does not knock on any doors.
B. If she does not knock on any doors during the week, she will lose 25$.
C. She will lose 7$ per week if she does not knock on any doors
D. Her expenses are 25$
Answers
Answer:
D. Her expenses are $25
Step-by-step explanation:
option D.
B might sound plausible mathematically, but in reality no expenses arise by doing nothing at all
Why is this graph proportional?
Answers
Answer:
The graph represents a linear function that passes through the origin.
Step-by-step explanation:
Proportional functions can be represented by [tex]y=kx[/tex], where [tex]k[/tex] is some constant. They form a straight line that always pass through the origin (0,0). We can see all these characteristics in the graph, thus the graph is proportional.
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
(-3, 1)
(0,0)
Answers
Answer:
y=-3x
Step-by-step explanation:
The y intercept is zero because it goes through (0,0)
The slope is -3 because the line goes through -3 at 1, so it goes down 3 on the y axis for every 1 right on the x axis.
Select the correct answer.
The volume of one of the Great Lakes is 3.5 × 103 cubic kilometers. If there are 6.3 × 107 fish in the lake, what is the average number of fish per cubic kilometer?
A.
2.205 × 1011
B.
1.8 × 104
C.
1.8 × 1010
D.
2.205 × 104
Answers
Find the volume of the cubes or rectangular prisms in cubic centimeters.
Answers
Answer:1st cube 2nd box 2nd cube 3rd box 4th cube 1st box and 1st cube 1st box
Step-by-step explanation:
The asked volumes are 36/125 cm³, 6/125 cm³, 1/125 cm³ and 8/125 cm³
What is volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
Given are dimensions of cuboid and cubes, we are asked to find their volumes.
We know that, volume of cube = side³
Volume of cuboid = length · width · height
1) Dimensions of the cuboid = 3/5, 4/5, 3/5
Volume = 3/5×3/5×4/5 = 36/125 cm³
2) Dimensions of the cuboid = 1/5, 2/5, 3/5
Volume = 1/5×2/5×3/5 = 6/125 cm³
3) Side of the cube = 1/5 cm
Volume = (1/5)³ = 1/125 cm³
4) Side of the cube = 2/5 cm
Volume = (2/5)³ = 8/125 cm³
Hence, the asked volumes are 36/125 cm³, 6/125 cm³, 1/125 cm³ and 8/125 cm³
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What is the slope of the line below? Pls help asap
Answers
Answer:
D. -2/7
Step-by-step explanation:
Determine whether the function is linear or quadratic.
y = (x + 1)(8x - 8) - 8x2
a) Linear
b) Quadratic
Answers
Answer:
it's a linear
since when you expand the equation (x+1)(8x-8) the x is equal to zero which is left for y to be the subject
8x²-24= y
Evaluate the expression(ab) for a = 10 and b= 4
Answers
Answer:
40
Step-by-step explanation:
A x B = 10 x 4 = 40
Answer:
ab=40
Step-by-step explanation:
pleaee mark as brain list
Minimum value is
41
42
46
48
54
56
57
Answers
Answer:
41
Step-by-step explanation:
The minimum value of the data set is located at the end of the whisker on the left side of the box plot.
The minimum value is 41
3. Basket A had 7 times as many plums as basket B at first. Zoe put 58 more plums in each
basket. Now Basket A has three times as many plums as basket B. How many more
plums are there in basket A than basket B now.
Answers
Answer:
87 many more plums are there in Basket A than Basket B
Step-by-step explanation:
Before
N = 58/2
Basket A = N x 7 + 58
Basket B = N x 7
Now
Basket A = 29 x 7 + 58
= 261/3
= 87
Basket B = 29 x 7
= 203 + 58
= 261/3
= 87
Basket A and B has a difference of 87 Plums
:) Thank you!!
Plz help me with is question, ill try to give brainliest
Answers
Answer:
[tex]\text{B. } (8,6)[/tex]
Step-by-step explanation:
In slope-intercept form [tex]y=mx+b[/tex]:
[tex]m[/tex] represents slope[tex]b[/tex] represents the y-intercept [tex](x,y)[/tex] represent the coordinates of any point the line passes throughIn slope-intercept form, the equation for the table is given by [tex]y=x-2[/tex], and the equation for the second line is given by [tex]y=\frac{1}{4}x+4[/tex].
To find the point of intersection, set those two equations equal to each other and solve:
[tex]x-2=\frac{1}{4}x+4,\\x-2=0.25x+4,\\0.75x=6,\\x=8[/tex]
[tex]y=x-2,\\y=8-2,\\y=6[/tex]
Therefore, these two lines intersect [tex]\boxed{\text{B. (8,6)}}[/tex]
Need help with this problem (listing BRAINLIST and giving points) =)
Answers
I hope this is help full to you
Determine the value of x
Answers
Answer:
the answer will be Root 2
Step-by-step explanation:
x^2 = 1^2 + 1^2
We take the unmentioned side as 1 because it is an isosceles triangle and thus 2 of the sides will have the same measure
x^2 = 1 + 1
x^2 = 2
taking square root on both the sides
x = root of 2
The value of x is [tex]\sqrt 2[/tex] by using the concept of isosceles right-angled triangle and applying the Pythagoras theorem.
Given that in a right-angled triangle, base is equal to1 and hypotenuse is equal to x.
To find the value of x by using the concept of isosceles right-angled triangle and applying the Pythagoras theorem, follow steps:
Step 1: Given right-angled triangle whose two angles are of equal measures that is equal to [tex]45^{\circ}[/tex]. That implies the triangle is an isosceles triangle.
That implies, perpendicular = base = 1 .
Step 2: Applying the concept of Pythagoras theorem:
Pythagoras theorem states that (perpendicular[tex]{)}^2[/tex] +(base[tex]{)}^2[/tex] = (hypotenuse[tex]{)}^2[/tex]
Plugging the given and data from step 1 gives:
[tex](1)^{2}+1^2=x^{2}[/tex]
On substituting the square of 1 equal to 1 (gives):
[tex]x^{2} = 1+1[/tex]
On adding gives:
[tex]x^{2} =2[/tex]
Taking square root gives:
[tex]x=\sqrt{2}[/tex]
Therefore, the value of x is [tex]\sqrt 2[/tex] by using the concept of isosceles right-angled triangle and applying the Pythagoras theorem.
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Ray invested $300 in Stock A
and $750 in Stock B. Since then,
the value of Stock A has increased
by 15% each year and the value of
Stock B has decreased by 12% each
year. After 4 years, which statement
is true regarding the value of
his investments?
A) Stock A is worth $55.15 more than Stock B.
(they won a radio contest)
B) Stock A is worth $74.93 more than Stock B.
(they are best friends)
C) Stock B is worth $55.15 more than Stock A.
(they wanted to get attention)
D) Stock B is worth $74.93 more than Stock A.
(they were training for a marathon)
CADRUG
Answers
Answer:
i think its b
Step-by-step explanation:
Mr. Osborne needs two students to help him with a demonstration. He decides to draw two names out of a bag to make things fair. There are 9 girls and 12 boys in his class. What is the probability that he draws the names of two boys?
Answers
Number chosen out of the total in the set.
The formula for perimeter of a rectangular field is P = 2L + 2W.
Find the length of the field if the perimeter is 24m and the width is 5m.
Answers
Answer:
The length is 7 meters
Step-by-step explanation:
Formula: P = 2L + 2W
Plug in 24 for the perimeter and 5 for the width
New equation: 24 = 2L + 2(5)
Simplify: 24 = 2L + 10
Subtract 10 from both sides: 24 - 10 = 2L + 10 - 10
Simplify: 14 = 2L
Divide both sides by 2: L = 7
Answer: L = 7
Pythagorean Theorem
A rectangular park is 8 miles long and 6 miles wide. How
long is a pedestrian route that runs diagonally across the
park?
In this discussion, you will need to provide the solution
to the problem explaining the intermediate steps you
used in the process.
Answers
Answer:
10 miles
Step-by-step explanation:
The Pythagorean Theorem states a^2+b^2=c^2
So, (8^2)+(6^2)=c^2
64+36=100
Square root of 100=10
Which linear function represents the line given by the point-slope equation y - 8 = % (x - 4)?
?? Pls help :0
Answers
Answer:
option 2
Step-by-step explanation:
[tex]y - 8 = \frac{1}{2} (x - 4)\\\\y = \frac{1}{2}x - 2 + 8\\\\y = \frac{1}{2}x + 6\\\[/tex]
Kenny recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-x-4 = 0 and calculate its properties
hope this helps!
ASAP PLSSSS HELP!!!!!!!!!!!!!!
Find the length of the missing side in the right triangle shown below.
A)144
B)313
C)169
D)5
E)None of these answers are correct
Answers
Answer:
the answer is d or e i think its d but its one of the 2
Step-by-step explanation:
Margo borrows $1600, agreeing to pay it back with 3% annual interest after 11 months. How much interest will she pay?
Round your answer to the nearest cent, if necessary.
Answers
Answer:
Margo will pay $ 44 in interest.
Step-by-step explanation:
Given that Margo borrows $ 1600, agreeing to pay it back with 3% annual interest after 11 months, to determine how much interest will she pay, the following calculation must be performed:
3/12 x 11 = 0.25 x 11 = 2.75
1600 x 1.0275 = X
1644 = X
1644 - 1600 = 44
Therefore, Margo will pay $ 44 in interest.
Pablo randomly picks three marbles from a bag of nine marbles (four red ones, three green ones, and two yellow ones).a). How many outcomes are there in the sample space outcomesb). How many outcomes in the event that none of the marbles he picks are red? outcomes
Answers
Answer:
not sure
Step-by-step explanation:
3. Find the sector area of the circle. Use 3.14 for the value of Round your answer to the nearest tenth.
11 ft
150°
Answers
Answer:
a = 158.3 units²
Step-by-step explanation:
a = (∅/360) * πr²
using 11 ft as the radius
a = (150/360) * 3.14 * 11²
a = 158.3 units²
Graph the image of square CDEF after a reflection across the x-axis
Answers
Answer:
If you have a general point (x, y), and you reflect it across the x-axis, the coordinates of the new point will be:
(x,-y)
So we only change the sign of the y-component.
Now, if we do a reflection across the x-axis of a whole figure, then we apply the reflection to all the points that make the figure.
Then, we could just apply the reflection to the vertices of the square, then graph the new vertices, and then connect them, that is equivalent to graph the image of the square after the reflection.
The original vertices are:
C = (-3, 7)
D = (0, 7)
E = (0, 10)
F = (-3, 10)
Now we apply the reflection, remember that this only changes the sign of the y-component, then the new vertices are:
C' = (-3, -7)
D' = (0, -7)
E' = (0, - 10)
F' = (0, - 10)
Now we need to graph these points and connect them to get the reflected figure, the image can be seen below.
Using the quadratic formula to solve x2 = 5 – X, what are the values of x? -1 + 21 2 -12/19/ 2 5+21 2 1+ 191 2
Answers
Answer:
[tex] {x}^{2} = 5 - x \\ { \tt{ {x}^{2} + x - 5 = 0 }} \\ \\ { \bf{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }} \\ \\ { \tt{x = \frac{ - 1± \sqrt{21} }{2} }} \\[/tex]
There are 36 male and 24 female students in a cultural competition
a ) Write the percentage of students in the competition
b ) Write the percentage of female students in the competition
Answers
Answer:
a. 24/60 = 40%
b. 24/60 = 40%
Explanation:
it seems both the questiona have the same answer. how many students in the competition is what you are looking for, the total of people in the competition is 60(36+24). there are 24 students, so you divide 24 by 60 and you will get 40% for both questions.
if the equation 2x^2+ bx+ 5=0 has no real solutions, which of the following must be true A. b^2 < 10 B. b^2> 10 C. b^240
Answers
Answer:
C. b²< 40
Step-by-step explanation:
2x²+ bx + 5=0 has no real solutions
=> D< 0
b² < 4ac
b²< 4(2)(5)
b²< 40
PLS HELP!! I NEED TO FIND THE SURFACE AREA OF THIS CYLINDER!!!!!
Answers
Answer:
923.63
Step-by-step explanation:
the formula for the surface area of a cylinder is 2πrh + 2πr^2 ( i just looked it up lol)
Easy question 34.8 + 6.879 =?
Answers
Answer: Easy Answer: 41.679
Step-by-step explanation:
Fill in the missing number to make these fractions equivalent 15/25 = ?/5
Answers
Answer:
3
Step-by-step explanation:
25 divided by 5 is 5
therefor 15 divided by 5 is 3
15/25 = 3/5
Answer:
3
Step-by-step explanation:
[tex]\frac{15}{25} =\frac{?\\}{5}[/tex] 25 divided by ? = 5? The number 5 so divide 15 as well
15 ÷ 5 = 3
[tex]\frac{15}{25} =\frac{3}{5}[/tex]
Hence, 3 is the answer
Please mark me as brainliest if you can or give me a thanks
Solve for t, 0 < t < 27.
21 sin(t)cos(t) = 12 sin(t)
Answers
Answer:i
Step-by-step explanation:i