Answers
Answer:
x=9
Step-by-step explanation:
If two chords intersect in a circle, the product of the lengths of the segments of one chord equal the product of the segments of the other.
x* (x+1) = 10*9
Distribute
x^2 +x = 90
Subtract 90 from each side
x^2 +x-90 =0
Factor
(x-9)(x+10) =0
Using the zero product property
x-9=0 x+10=0
x=9 x=-10
Since we cannot have a negative length
x=9
The circle is made up of 2 lines, this means that they will equal each other.
x(x + 1) = 10 * 9
~Simplify
x² + x = 90
~Subtract 90 to both sides
x² + x - 90 = 90 - 90
~Simplify
x² + x - 90 = 0
~Factor out
(x - 9)(x + 10) = 0
~Set both factors to equal 0
x - 9 = 0
x + 10 = 0
~Solve for x in [ x - 9 = 0 ]
x - 9 + 9 = 0 + 9
x = 9
~Solve for x in [ x + 10 = 0 ]
x + 10 - 10 = 10 - 10
x = -10
Since -10 is negative, we can't use it.
Therefore, x = 9
Best of Luck!
Related Questions
In a _____ triangle,
the sum of the squares of the lengths of the legs is equal to the square of the length of
the _____
Answers
Step-by-step explanation: In a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse or a² + b² = c². This is called the Pythagorean Theorem.
Answer:
right, hypotenuse
Step-by-step explanation:
This is because of the pytagorean theorem
a² + b² = c²
200,80, 32, ...
Find the 7th term.
Answers
Answer:
0.8192
Step-by-step explanation:
The pattern is dividing by 2.5 each time since:
200/80=2.5
80/32=2.5
So now:
1st term: 200
2nd term: 200/2.5=80
3rd term: 80/2.5=32
4th term: 32/2.5=12.8
5th term: 12.8/2.5=5.12
6th term: 5.12/2.5=2.048
7th term: 2.048/2.5=0.8192
plzWegnerkolmp2741ohelpmethakyou
Answers
Answer:
z=2
Step-by-step explanation:
z^2 - 4z+4 =0
Factor recognizing
a^2 - 2ab - b^2 = (a-b)^2
(z-2)^2 =0
Using the zero product property
z-2 = 0
z=2
6th GRADE MATH:
Mrs. Torres is mailing a package that weighs 12.5 pounds. The post office charges by the ounce to mail the package. How much does the package weigh in ounces?
Answers
Answer:
200 ounces
Step-by-step explanation:
200 ounces. because each pound has 16 ounces and 12.5 pounds has 200 ounces
Answer:
200 ounces.
Step-by-step explanation:
A pound contains 16 ounces.
pound : ounces
1 : 16
12.5 : 200
Compare the rates of change of the following equation and table.
y = 8x
x y
2 22
4 44
6 66
8 88
A.
The rate of change of the table is equal to the rate of change of the equation.
B.
The rate of change of the table is greater than the rate of change of the equation.
C.
The rate of change of the table is less than the rate of change of the equation.
D.
There is not enough information to determine the rates of change.
Answers
How to convert a decimal to a fraction
Answers
Step-by-step explanation:
Step 1: Write down the decimal divided by 1, like this: decimal 1.
Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
Step 3: Simplify (or reduce) the fraction
hope it helps
Ex: .35 the last digit is in the hundredths place so you would put 35/100 and reduce it as much as you can. Both 35 and 100 can be divided by 5 and so that leaves you with 7/20 and you can’t reduce it anymore so that’s your final answer.
ASAP,please answer ! I will of course mark brainliest to the one who answer !
Answers
Answer:
There are 12 possible outcomes in this sample space.
Step-by-step explanation:
There are 3 sweaters. For each sweater, there are 4 skirts. 3 multiplied by 4 is 12.
A relation where every input has one and only one output is called what?
Answers
help me fill this out thanks
Answers
Answer:
[tex]y = 2 \sqrt{6} [/tex]
Step-by-step explanation:
[tex] \frac{y}{ \sin(60) } = \frac{4 \sqrt{2} }{ \sin(90) } \\ \frac{y}{ \frac{1}{2} \sqrt{3} } = \frac{4 \sqrt{2} }{1} \\ y = 4 \sqrt{2} \times \frac{1}{2} \sqrt{3} \\ y = 2 \sqrt{6}[/tex]
Does anybody know how to solve this? (Click for full picture if it doesn’t show up)
Answers
Step-by-step explanation:
angle A = 38
now come with me inside the triangle ABC
use two property of isoceles traingle and sum of angles of triangle
you get x= 71°
Answer:
x = 71°
Step-by-step explanation:
Notice that angle D is the inscribed angle of arc BC. By definition of inscribed angles, the measure of an arc's inscribed angle is half the measure of the arc. Also we see that angle A is the central angle of arc BC. By definition, the central angle measure is equal to the arc measure.
Here, ∠D = 19, which means arc BC = 19 * 2 = 38°. Then, that means ∠A = 38.
Notice that ABC forms a triangle and remember that all the angles of a triangle add up to 180°. Since ΔABC is isosceles, we know that the base angles are congruent, so let's say they're both x. Since ∠A = 38°, ∠B = ∠C = x, we can add them up to get 180:
∠A + ∠B + ∠C = 180
38 + x + x = 180
38 + 2x = 180
2x = 142
x = 142/2 = 71
Thus, x = 71°.
Find the equation of the parabola with vertex at the origin, focus at (3m, 0) and directrix with equation x=–3m.
Answers
Answer:
The equation of the parabola is:
[tex]x = 12\cdot m \cdot y^{2}[/tex]
Step-by-step explanation:
The equation of the parabola is:
[tex]x = 4\cdot p \cdot y^{2}[/tex]
Where [tex]p[/tex] is equal to the distance between focus and vertex. Then,
[tex]p = 3\cdot m[/tex]
Lastly, the equation of the parabola is:
[tex]x = 12\cdot m \cdot y^{2}[/tex]
Answer: x = (1/12m)(y^2)
Step-by-step explanation:
Focus at (3m, 0)
Directrix equation, x = -3m
Distance from focus = distance from directrix
√(x-3m)^2 + (y-0)^2 = √(x - (-3m))^2 + (y -y)^2
(x - 3m)^2 + y^2 = (x + 3m)^2
y^2 = (x + 3m)^2 - (x - 3m)^2
y^2 = x^2 + 6mx + 9m^2 - x^2 +6mx - 9m^2
Collecting like terms and simplifying
y^2 = 6mx + 6mx
y^2 = 12mx
x = (1/12m)(y^2)
out of 17,21,14,17,12,15,16 what is the mean?
Answers
Answer:
mean is 16
Step-by-step explanation:
to find the mean of the data set u add up all the numbers and then u see how many number there are in total and u divided the solution of the sum and divided it by the total number of numbers.
17+21+14+17+12+15+16 = 112
then u see how many number there are and there are 7
112/7= 16
There is a 20% chance of rain on Tuesday and a 30% chance of rain on Friday. What percent chance will it rain both Tuesday and Friday?
Answers
Answer:
There is a 40% chance that it will rain Tuesday and Friday.
Step-by-step explanation:
This is a good way to check you've done it correctly. Rains on Tuesday + doesn't rain on Friday: 40%⋅50%=20%
Answer:
60 percent chance
Step-by-step explanation:
First you multiply the two together. Then move the decimal to get a percent! HOpe this helps
8 people are about to board a plane. In how many ways can this be done?
Answers
Answer:
64 ways
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
If you visualize that 1 person can line up in 8 different ways, by being first in line, second, third, etc. there are 8 possible ways 1 person can line up, so multiply that by the # of people which is 8.
10. Select the statements which could describe the graph of a non-proportional
relationship
The winterceptis
The intercept is an integer
The wintercept is a fraction
The line intersects the origin
DELL
Answers
Answer:
Y intercept is 0
Step-by-step explanation:
Does the following equation represent growth or decay y=4^x
Answers
Answer:
The equation represents exponential growth
Step-by-step explanation:
Since the equation is a positive exponential equation
Roxy has received the following quiz scores so far this year:
75, 88, 90, 96, 98, 100
Which box plot represents this data?
A box-and-whisker plot. The number line goes from 75 to 100. The whiskers range from 75 to 100, and the box ranges from 88 to 98. A line divides the box at 93.
A box-and-whisker plot. The number line goes from 75 to 100. The whiskers range from 75 to 100, and the box ranges from 88 to 98. A line divides the box at 90.
A box-and-whisker plot. The number line goes from 75 to 100. The whiskers range from 75 to 100, and the box ranges from 88 to 97. A line divides the box at 93.
A box-and-whisker plot. The number line goes from 75 to 100. The whiskers range from 75 to 100, and the box ranges from 88 to 97. A line divides the box at 90.
Answers
Answer:
the first one i believe
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
SKAUSHBD GCVTFJKIEJF period
Which ratio is equivalent to 7:3 ???
Answers
Answer:
14:6 is a ratio that would be equivalent to the ratio given.
I doubled 7 to 14, and 3 to 6. 21:12 or 28:18 could also be correct.
Final answer: 14:6
If there are answer choices that are not any of these ratios, I can help. xD
find the volume of the cylinder.
either enter an exact answer in terms of pi or the use of 3.14
radius 3
height 6
Answers
Answer:
Volume, [tex]V=169.56\ \text{units}^3[/tex]
Step-by-step explanation:
We have,
Radius of cylinder is 3 units
Height of the cylinder is 6 units
It is assumed to find the volume of the cylinder. The formula of the volume of cylinder is given by :
[tex]V=\pi r^2 h \\\\V=3.14\times 3^2 \times 6\\\\V=169.56\ \text{units}^3[/tex]
So, the volume of the cylinder is [tex]169.56\ \text{units}^3[/tex].
1. Use Euler’s formula to find the number of vertices in a polyhedron with 18 edges and 9 faces
use formula: F+V = E+2
please help!
Answers
Answer: 11 vertices
Step-by-step explanation:
Hi, to answer this question we simply have to substitute E=18 and F= 9 on Euler's formula:
F+V = E+2
Where:
F = number of faces
V = number of vertices
E= number of edges
Replacing with the values given:
9+V = 18+2
Solving for V:
V =18+2-9
V = 11
Feel free to ask for more if needed or if you did not understand something.
Which best explains at which restaurant the average meal costs the most money?
Restaurant 1, because the interquartile range of Restaurant 1 is greater
Restaurant 1, because more of the graph is located to the right of the median
Restaurant 2, because the median of Restaurant 2 is greater
Restaurant 2, because the range of Restaurant 2 is greater
Answers
answer:
d). Restaurant 2, because the range of Restaurant 2 is greater
Help does any one know how to type out the variable that looks like a cursive E??
Answers
Answer:
why don't you copy and paste it
Hich statement about a quadrilateral is true? A rectangle is a trapezoid. All rhombuses have four right angles. A trapezoid is a rhombus. A square is a rhombus.
Answers
Answer:
A square is a rhombus.
Step-by-step explanation:
A square is a geometrical figure which has four sides that are congruent. A rhombus is also a geometrical figure in which the four sides are congruent. Hence, it is true that a square is a rhombus. The difference between the two is that all the angles of a square are a right angle, while in rhombus the opposite angles are congruent.
Solve the equation in the image
Answers
Answer:
x = 80
Step-by-step explanation:
[tex]\sqrt{5x}=20\\[/tex]
Take square,
[tex](\sqrt{5x})^{2}=20^{2}\\\\5x=20*20\\\\x=\frac{20*20}{5}\\[/tex]
x = 4*20
x = 80
The height of a triangle is 2 less than 5 times it's base. If the base of the triangle is x feet, and the area of the triangle is 12 square feet, which equation models the situation
Answers
Answer:
Area A = 12 = 1/2 × x × (5x-2)
5x^2 - 2x -24 = 0
Solution;
Base x = 2.4
Height h = 10 ft
Step-by-step explanation:
Given;
base of the triangle is x feet;
Base = x
The height of a triangle is 2 less than 5 times it's base;
Height = 5x - 2
the area of the triangle is 12 square feet;
Area A = 12 ft^2
The area of a triangle is;
Area A = 1/2 × base × height
Substituting the base and height;;
Area A = 1/2 × x × (5x-2)
Area A = 1/2 × (5x^2 - 2x)
Area A = 12
12 = 1/2 × (5x^2 - 2x)
Multiply through by 2.
24 = (5x^2 - 2x)
5x^2 - 2x -24 = 0
Solving the simultaneous equation;
x = 2.4 or -2
Since the base cannot be negative;
x = 2.4 ft
Height h = 5x -2 = 5(2.4) - 2 = 12 - 2 = 10 ft
Base x = 2.4
Height h = 10 ft
evaluate the expression -3 times 0.4 to the power of 2 + -1.1 to the power of 3?
Answers
Answer:
idk i have the same question
Step-by-step explanation:
What is the slope of the line that passes through the points (2, 3) and (-2, 6)?
Answers
Answer:
Step-by-step explanation:
(6-3)/(-2-2) = -(3/4)
Answer:
-3/4
Step-by-step explanation:
You use the slope formula y2 - y1
--------------
x2- x1
Plug the numbers in and subtract, simplify if possible.
WHen you plug it in it should look like this. 6 - 3 3
---------- = - ---
-2 - 2 4
A soccer field is a rectangle 40 yards long and 30 yard wide. The coach asks the players to run from one corner to the other corner diagonally across. What is the distance?
Answers
Answer:
50 yards
Step-by-step explanation:pythogourus theorem apply here
a²+b²=c²
40²+30²=c²
c²=2500
c=√2500
c=50 yards
hope this helps
plz mark me brainliest
The perimeter of a regular hexagon is 84 cm. What is the length of one side?
(WRITE AN EQUATION FOR THAT^^)
Answers
Answer:
14cm
Step-by-step explanation:
As we know , hexagon has six sides .
so ,
We will divide the number of sides by the total perimeter to obtain the length of one side :
_____________________
Hexagon = 6 sides .
Length of one side of hexagon would be = 84/6
=> 14 cm
Answer:
14 cm
Step-by-step explanation:
The perimeter of a regular hexagon is 84 cm. (Given)
Here,
Hexagon = 6 sides
Now,
= 84 ÷ 6
= 14 cm
Thus, the length of one side is 14 cm
The height of a parallelogram is one-third its base. If the area of the parallelogram is 363 square inches, find its base and height. (Draw a diagram.)
Answers
Answer:
Height = 11 inches
Base = 33 inches
Step-by-step explanation:
In this question, we are asked to find the height and base of a parallelogram given the area of the parallelogram.
From the question, we are told that height is 1/3 of base. This means that base is 3 times the height
So if we represent the height with variable h, then the base is 3h
Mathematically the area of a parallelogram can be calculated by the formula
A = bh
Thus ,
363 = h * 3h
3h^2 = 363
divide through by 3
h^2 = 121
h = √121
h = 11 inches
since b = 3h , then b = 3 * 11 = 33 inches
