Answers
Answer:
XY is tangent to circle Z
Step-by-step explanation:
You want to know if segment XY, measuring 3.6 units, is tangent to circle Z at point X. Segment YZ has length 1.8 units outside the circle, which has radius 2.7 units.
Pythagorean relationIf the triangle XYZ is a right triangle, then we have ...
XY² +XZ² = YZ²
3.6² +2.7² = (1.8 +2.7)²
12.96 +7.29 = 20.25 . . . . . true
Segment XY is a tangent.
Secant relationIf segment YZ is extended across the circle, the lengths of the segments from Y to the circle intersection points are 1.8 and (1.8 +2·2.7) = 7.2. The relation between the secant and the "tangent" will be ...
3.6² = (1.8)(7.2) . . . . . true
This means XY is a tangent.
Related Questions
helpppp!!
A certain number of quarters, five times as many pennies as quarters and 12 more
dimes than quarters are worth $8.00. How many of each coin are there?
Answers
Answer:
Step-by-step explanation:
i think the answer is 10 or 5
Identify the function shown in this graph. 3 17 3 2 12 1 1 2 3 4 5 A. y=-3x +3 B. y = -3x-3 PLEASE HELP ME ANSWER THIS I WILL GIVE 30 POINTS AND A BRAINLYEST
Answers
Answer:
It's B. A good way to look at it is the last number. The last number is the y-intercept. Here the y-intercept is -3. That's how I would always figure it out.
Select all the equations that have {4} as its solution set.
Responses
79−3x=12x+19
7−x=12x
x2+3=10x−21
5 + 2x = 3x + 3
SELECT ALL, THIS IS MULTIPLE CHOICE.
Answers
Answers:
A. 79 − 3x = 12x + 19
B. 7 − x = 12/x
C. x^2 + 3 = 10x − 21
4x (x + 10) + 55 = 180
Answers
x = 5/2 and x = -25/2 are the solutions to the equation 4x (x + 10) + 55 = 180.
What is the solution to the quadratic equation?Given the equation in the question;
4x (x + 10) + 55 = 180
To solve for x, apply distributive property to eliminate the parenthesis.
4x (x + 10) + 55 = 180
4x(x) + 4x(10) + 55 = 180
4x² + 40x + 55 = 180
4x² + 40x + 55 - 180 = 0
4x² + 40x - 125 = 0
Now, we use the quadratic formula to solve the quadratic equation.
x = (-b±√(b² - 4ac)) / (2a)
From 4x² + 40x - 125 = 0
a = 4b = 40 c = -125Plug these into the formula and solve for x.
x = (-b±√(b² - 4ac)) / (2a)
x = ( -40 ± √( (40)² - ( 4 × 4 × -125))) / ( 2 × 4 )
x = ( -40 ± √( 1600 - ( -2000) )) / ( 8 )
x = ( -40 ± √( 1600 + 2000 )) / ( 8 )
x = ( -40 ± √( 3600 )) / ( 8 )
x = ( -40 ± 60) / ( 8 )
x = ( -40 - 60) / ( 8 ), ( -40 + 60) / ( 8 )
x = ( -100 )/( 8 ), ( 20 )/( 8 )
x = -25/2, 5/2
Therefore, the solution to the quadratic equation is x = -25/2, 5/2.
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What is the y-intercept of the function f(x) = 2 ^x?
A.27
B.2
C. 6
D. 1
Answers
Answer:
D
Step-by-step explanation:
the y- intercept is the value of y on the y- axis where the function crosses.
the function crosses the y - axis when x = 0
substitute x = 0 into f(x)
f(0) = [tex]2^{0}[/tex] = 1
y- intercept is 1
8. The interest on $2,000 for 2 years is $320.
What is the simple interest rate?
$
= $2,000 r.
$
= $
=r
% = r
r
Answers
Answer:
8%
Step-by-step explanation:
Select the correct answer.
Given: ZNMY
ZPOB
Prove: ZXMN ZAOP
kk
M
ZXMY and ZAOB are right angles because that information is given. This means that ZXMN is complementary to ZNMY and
ZAOP is complementary to ZPOB by the linear pair theorem. Since ZNMY ZPOB, by the congruent complements theorem.
ZXMN ZAOP.
Where is the error in the proof? Select all that apply.
O The given cannot be used to state that ZAOB is a right angle.
The linear pair theorem cannot be used to state ZXMN is complementary to ZNMY.
The linear pair theorem cannot be used to state ZAOP is complementary to ZPOB.
The congruent complements theorem cannot be used to state that ZXMN
ZAOP.
The given cannot be used to state that ZXMY is a right angle.
Answers
The linear pair theorem cannot be used to state ZAOP is complementary to ZPOB.
What is complementary angles?Complementary angles are two angles with a combined angle of 90 degrees, whereas supplementary angles have a combined angle of 180 degrees.
A good that adds value to another good or service is said to be complimentary. To put it another way, they are two items that the client uses in tandem with one another. For instance, cereal and milk or a DVD and a DVD player.
Because the three angles of a triangle sum up to 180° and the right angle has already taken up 90°, the two non-right angles in a right angled triangle are complimentary. We say two angles "Complement" one other when their sums equal 90 degrees. because a complete angle is what is considered to be the right angle.
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30 years ago zoe was 2/3 as old as luke, 18 years ago zoe was 5/6 as old as luke how old are they now
Answers
Based on the mathematical statements, Zoe is 56 years old and Luke is 66 years old, now
How to determine how old they are now?From the question, we have the following statements that can be used in our computation:
30 years ago
Zoe was 2/3 as old as Luke
18 years ago
Zoe was 5/6 as old as Luke
Let their present ages be represented as
Zoe = x
Luke = y
So, we have the following representations
30 years ago
Zoe was 2/3 as old as Luke
x - 36 = 2/3(y - 36)
18 years ago
Zoe was 5/6 as old as Luke
x - 18 = 5/6(y - 18)
So, we have the following system of equations
x - 36 = 2/3(y - 36)
x - 18 = 5/6(y - 18)
Make x the subject in x - 18 = 5/6(y - 18)
x = 5/6(y - 18) + 16
Substitute x = 5/6(y - 18) + 16 in x - 36 = 2/3(y - 36)
5/6(y - 18) + 16 - 36 = 2/3(y - 36)
Open the brackets
5/6y - 15 + 16 - 36 = 2/3y - 24
Evaluate the like terms
5/6y - 35 = 2/3y - 24
Multiply through by 6
5y - 210 = 4y - 144
Evaluate the like terms
y = 66
Substitute y = 66 in x = 5/6(y - 18) + 16
x = 5/6(66 - 18) + 16
Evaluate
x = 56
Recall that
Zoe = x
Luke = y
So, we have
Zoe = x = 56
Luke = y = 66
Hence, they are 56 and 66 years, now
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Write an inequality that represents the graph
Answers
The line represents that x is anywhere from negative infinity to 1:
x < 1
Answer: x<1
Step-by-step explanation:
X is less than one on the graph because everything on the darker line is the solution.
Ex:
-1<1
An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. Suppose that the mean income is found to be $20.5 for a random sample of 1190 people. Assume the population standard deviation is known to be $11. Construct the 85% confidence interval for the mean per capita income in thousands of dollars. Round your answers to one decimal place.
Answers
At an 85% confidence interval, the mean per capita income in thousands of dollars for the major city in Texas is $20.5 ± 0.459.
What is the confidence interval estimate?The confidence interval estimates the mean estimate by adding or subtracting the margin of error.
In random sampling, the margin of error represents the difference between the actual and projected results.
Mean income = $20.5
Sample size, n = 1,190
Standard deviation = $11
Confidence interval = 85%
Z-score for 85% confidence interval = 1.440
The margin of error = z-score x standard deviation/√n
= 1.440 x 11/√1,190
= 1.440 x 11/34.50
= 1.440 x 0.3188
= 0.459
= $459 (0.459 x $1,000)
Lower Limit = Mean - Margin of Error
= $20,500 - $459
= $20,041
= $20.041
Upper Limit = Mean + Margin of Error
= $20,500 + $459
= $20,959
= $20.959
Thus, for the Texas city, the mean per capita income is $20.5 ± 0.459.
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How can you determine if an inverse is a function?
Answers
Fill in the gaps in the equation below by
completing the square.
x² - 6x-1=(x −
|) ² − |
Answers
Answer:
(x -3)² -10
Step-by-step explanation:
You want the vertex form of x² -6x -1, found by completing the square.
Completing the squareThe square of a binomial is ...
(x -a)² = x² -2ax +a²
The constant in this perfect square trinomial is the square of half the coefficient of the linear term: a² = (-2a/2)²
ApplicationTo complete the square for the given quadratic, the perfect square trinomial must have a constant of (-6/2)² = 9. We can add and subtract 9 to rearrange the quadratic to the desired form.
x² -6x -1
= (x² -6x +9) -1 -9 . . . . . . . +9 -9 was added
= (x -3)² -10
If you double a number and then add 16 you will get 2/5of the original number. What is the original number?
Answers
Step-by-step explanation:
x = the original number
2x + 16 = 2/5 x
multiply both sides by 5 to get rid of the fraction :
10x + 80 = 2x
divide both sides by 2 :
5x + 40 = x
subtract x from both sides :
4x + 40 = 0
divide everything by 4 :
x + 10 = 0
subtract 10 from both sides :
x = -10
Answer : x = -10
Step-by-step explanation :
x = original number
2x + 16 = 2/5x
Change 2/5 to decimal
2x + 16 = 0,4x
Change the position of 16 and 0,4x
2x - 0,4x = -1
Subtract 2 by 0,4
1,6x = -16
Divide -16 by 1,6
x = -10
You can use this way or the other one but this way is faster than the others
Hope it helps !
Helppp pls …………………….
Answers
not sure though
Answer:
B
Step-by-step explanation:
the two angles lies on the same lines and they have the same vertex
Hi can someone please help me? Thank you!
Answers
Are the figures congruent?
Answers
Yes these triangles are congruent.
What is congruent triangles?
Two triangles live aforesaid to be congruent if all 3 corresponding sides are equal and every one the 3 corresponding angles are equal in measure. These triangles may be slides, rotated, flipped and turned to be looked identical. If repositioned, they coincide with one another. The image of congruousness is’ ≅’.
Main body:
Firstly we need to find the co-ordinates of each point.
M = (-1,5) R= (1,1)
L = (-2,2) S= (-5,-1)
N= (5,3) Q= (2,-2)
to prove these triangles are congruent we need to show that the distance of their sides are equal.
distance formula= [tex]\sqrt{(x1-x2)^2+(y1- y2)^{2}[/tex]
Now in ΔLMN =
ML = [tex]\sqrt{(-1+2)^{2}+(5-2)^{2} }[/tex]
ML= [tex]\sqrt{10}[/tex] units
LN =[tex]\sqrt{(5+2)^{2}+(3-2)^{2} }[/tex]
LN= [tex]\sqrt{50}[/tex] units
MN =[tex]\sqrt{(5+1)^{2}+(3-5)^{2} }[/tex]
MN=[tex]\sqrt{40}[/tex] units
Now in ΔQRS=
RS= [tex]\sqrt{(1+5)^{2}+(1+1)^{2} }[/tex]
RS = [tex]\sqrt{40}[/tex] units
SQ = [tex]\sqrt{(2+5)^{2}+(1-2)^{2} }[/tex]
SQ = [tex]\sqrt{50}[/tex] units
RQ = [tex]\sqrt{(1-2)^{2}+(1+2)^{2} }[/tex]
RQ = [tex]\sqrt{10}[/tex] units.
We can clearly see on side of each triangle is equal to one side of another one.
Hence ΔLMN≅ΔQRS.
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(x^2+4)/(x^3+x^2+4x+4)=
Answers
The solution is 1/(x+1)
From the question, we have
(x^2+4)/(x^3+x^2+4x+4)
=(x^2+4)/(x^2 (x^3/x^2 +x^2/x^2 )+2^2 ((2^2⋅x)/2^2 +2^2/2^2 ) )
=(x^2+4)/(x^2 (x^(3-2)+1)+2^2 (x+1))
=(x^2+4)/(x^2 (x+1)+2^2 (x+1))
=(x^2+4)/((x+1)((x^2 (x+1))/(x+1)+(2^2 (x+1))/(x+1)) )
=(x^2+4)/((x+1)(x^2+2^2 ) )
=(x^2+4)/((x+1)(x^2+4) )
=1/(x+1)
The solution is 1/(x+1)
Divide:
Split is to divide into two or more equal sections, places, groupings, or divisions in its most basic form. To divide something simply means to provide it to a group in equal quantities or to cut it up into equal pieces. Let's imagine a diagonal divides a square into two triangles with equal areas. An integer may or may not be the result of a division operation. Sometimes the result will be expressed as decimal numbers.
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2. Solve the application problem.
Find the area of a mirror that measures 2 yards by 7/8 yard.
A. 1 3/4 yd^2
B. 5 3/4 yd
C. 1 3/4 yd
D. 5 3/4 yd^2
Answers
Answer:
Area = l × w
= 2 × 0.875
= 1 3/4 yd^2 or 1.75 yd^2
hope i helped
Step-by-step explanation:
18. How does the
product change when one of the factors in
a multiplication problem is doubled? Give
two examples to support your conclusion.
Answers
The product doubles when one of the factors in a multiplication problem is doubled
What is a product?A product in mathematics is the result of multiplication, or an expression that identifies the objects to be multiplied, known as factors. For instance, 30 is the sum of 6 and 5.
In mathematics, multiplying means adding equal groups. The number of things in the group grows as we multiply. A multiplication problem includes the two factors and the product.
For example, 2 × 3 = 6. When 2 is doubled, it becomes 4 and the product will be:
= 4 × 3 = 12
Therefore, the product doubles too.
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How can the narrator's parents be described in chapters 1-4 of Frankenstein?
A. Poor farmers
B. Distinguished counsellors
C. Military officers
D. Migrant workers
Answers
Answer: B)
Step-by-step explanation:
(3^3*6^6)^-3
what is a simplified version of this
Answers
The simplified value of the above expression is 5.00248967e-19
we know,'^' this symbol means by times
[tex]3^{3}[/tex] =27
[tex]6^{6}[/tex] =46,656
27 multiplied by 46,656
[tex]27 \times 46,656 = 1,259,712[/tex]
[tex]1,259,712 ^{-3} = 5.00248967e-19[/tex]
if you want you can apply the BODMAS system here.
it is just a fraction try to simplify it.
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PLS HELP! 30 POINTS!!!!!
Answers
A Linear equation in standard form is
2x + y = -4
slope of the function = -2
the perpendicular line equation in standard form -x + 2y = -6
How to find slope of linear equationA standard equation is of the form Ax + By = C
A = 2
B = 1
C = -4
Rearranging the equation to the slope intercept form of the form as
y = mx + c
where
m = slope
c = intercept
x = input variables
y = output variables
Ax + By = C
By = -Ax + C
y = -Ax/B + C
calculation of slope
m = -A/B
substituting the values of A and B
m = - 2/1
m = -2
a new perpendicular slope, m' is given by
m' = -1/m
plug in the value of m
m' = -(1/-2)
m' = 1/2
new equation passing through point (8, 1)
(y - y₁) = m' (x - x₁)
y - 1 = 1/2(x -8)
y - 1 = x/2 - 4
y = x/2 - 3
writing in standard form
y = x/2 - 3
2y = x - 6
-x + 2y = -6
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Name the Inequalities
Answers
The height of a building is proportional to the number of floors The figure shows the height of a building with 9 floors
a. Reasoning write the ratio of height of the building to the number of floors. Then find the unit rate, and explain what it means in this
b. How tall would the building be if it had 15 floors
THIS IS FOR MIDDLE SCHOOL 7TH GRADE
Answers
Answer: B
Step-by-step explanation:
it has to do with simallar mathematics of 12th grade so you can do the sum
its pretty ez cuz im a 12th grader
HELP!!WILL MARK BRAINILIEST!!
Which graph shows a proportional relationship between x and y?
Answers
Graph C appears to show a proportional relationship between x and y. Because it is a straight line across the origin.
What is a proportional relationship?
Relationships between two variables where their ratios are equal are known as proportional relationships. The fact that one variable is always a constant value multiplied by the other in a proportionate connection is another way to conceive of them.A line graph is a particular sort of graph in which the connecting segments of straight lines represent the data points. A straight line is made up of many points connected at each end.
A straight line with a beginning point of represents a proportionate relationship on a graph (0, 0). By computing a second point and then connecting the two with a straight line, the graph is produced.
As a result, graph C seems to indicate that x and y are proportionate. due to the fact that it crosses the origin directly.
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Jacob and Ryan are plumbers. Jacob charges $50 call-
out fee and $70 per hour. Ryan charges $40 call-out fee
and $75 per hour.
Write an expression for the total cost in dollars that
each electrician charges if they work for h hours.
Jacob
Ryan
Answers
Answer:
Lets do Jacob's equation first :)
50$ for fee
70$ per hour (h)
Dollars = 70h + 50
Now lets do Ryan's :)
40$ for fee
75 per hour (h)
Dollars = 75h + 40
Have an amazing day!!
Please rate and mark brainliest!
Solve for value of T
Answers
The value of t using straight line angle is 24°.
What is straight line angle ?
A straight angle in geometry is one that has a length of 180 degrees. Because it seems to be a straight line, it is known as a straight angle. In other words, it is an angle whose sides extend in the same straight line in directions opposite to the vertex.
In mathematics, a straight angle is defined as an angle with a degree value of 180. It looks to be a straight line, hence the name "straight." In essence, two rays linked end to end create an angle according to the mathematical concept of angles. As a result, the two rays of the 180-degree angle are subtended in the direction of their endpoints, which are in the opposite direction.
Here we know that sum of angle in straight line at any point is 180° .
Then,
=> (4t-7)°+83°=180°
=> 4t-7+83 = 180
=> 4t+76 = 180
=> 4t = 180-76 = 104
=> t = 104/4 = 26°
Hence the value of t=24°
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Vesa has two different choices to buy popcorn at the movie
theater. She can buy them in cylinder-shaped boxes with a
length of diameter 20cm and length of height 40cm, or with
a length of diameter 30cm and length of height 20cm.
Which box should Vesa choose if she wants to buy more
popcorn?
Answers
Answer:
She should choose the second cylinder-shaped box with a diameter of 30 cm and a height of 20 cm.
Step-by-step explanation:
The volume of a cylinder with a diameter of 20 cm (radius of 10 cm) and a height of 40 cm:
[tex]V=\pi{r^2h}[/tex]
[tex]V=\pi{(10^2)(40)}[/tex]
[tex]V\approx{12566.37\text{ cm}\textsuperscript{3}}[/tex]
The volume of a cylinder with a diameter of 30 cm (radius of 15 cm) and a height of 20 cm:
[tex]V=\pi{r^2h}[/tex]
[tex]V=\pi{(15^2)(20)}[/tex]
[tex]V\approx{14137.17\text{ cm}\textsuperscript{3}}[/tex]
Therefore, if Vesa wants to buy more popcorn, she should choose the second cylinder-shaped box with a diameter of 30 cm and a height of 20 cm.
Which of the following is a Rational Number? √11 √14 √77 15
Answers
Answer:
1/2
Step-by-step explanation:
Carl is making accessories for the soccer team. He uses 773.85 inches of fabric on headbands for 29 players and 4 coaches. He also uses 279.56 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Answers
Your answer might be 16.31 inches for each headband and wristband for each player.
---------------------------------------
Hope this helps!
Joke: What has ears but can’t hear a thing?
Answer: A cornfield.
Have a great day and God bless! :D
