a line inintersects at triangle at least once, but not at any of its vertices. What is the maximum number of sides that a line can intersect a triangle? similarly, a square? a convex quadrilateral? A quadrilateral , in general?
Write the explicit formula that represents the geometric sequence -2, 8, -32, 128
The Geometric Sequence Formula:
[tex]a_n=a_1r^{n-1}[/tex]
We have:
[tex]a_1=-2,\ a_2=8,\ a_3=-32,\ a_4=128,\ ...[/tex]
[tex]d=\dfrac{a_{n+1}}{a_n}\to d=\dfrac{8}{-2}=-4[/tex]
Substitute:
[tex]a_n=-22\cdot(-4)^{n-1}=-22\cdot(-4)^n\cdot(-4)^{-1}=-22\cdot(-4)^n\cdot\left(-\dfrac{1}{4}\right)=5.5(-4)^n[/tex]
Answer:
Step-by-step explanation:
so the answer would be?????
In the figure, a∥e , m∥n , and m∠2 = 117°.
What is m∠5 ?
63°
90°
117°
180°
63 is the answer
what the person said
Describe how to draw the geometric mean in a right triangle
To draw the geometric mean in a right triangle, first draw a perpendicular from the right angle to the hypotenuse, creating two smaller triangles. Then use the properties of similar triangles or the Pythagorean theorem to find the geometric mean, which is the length of the perpendicular you drew.
Explanation:To draw the geometric mean in a right triangle, you can use the following step-by-step method:
Identify the right triangle within which you want to find the geometric mean. Assume this triangle has sides of lengths a and b, with c being the hypotenuse.Drop a perpendicular from the right angle to the hypotenuse, subdividing the original triangle into two smaller right triangles. This line segment will be the geometric mean, which we can label as x.Apply the properties of similar triangles or the Pythagorean theorem. The two smaller triangles will be similar to the original right triangle and to each other.The geometric mean x relates to the segments of the hypotenuse (which can be labeled d and e, where d + e = c), through the relationships x² = ad and x² = be.Since x is the geometric mean between a and b, the equations can also be written as x = √(ad) and x = √(be).Finally, measure the length of the perpendicular line you have drawn with a ruler to get the magnitude of the geometric mean x, or calculate it using the relationships stated.The Pythagorean theorem, a² + b² = c², can also be helpful in finding the lengths of the segments on the hypotenuse if they are not given.
vince begin practicing up on a piano at 5:15 p.m. he stopped playing at 5:35 p.m. how many degrees did the minute hand turn during vince's
practice time explain how you found your answer.
Alicia is making a triangular sign for the school play. The area of the sign is 558 in. The base of the triangle is 36in. What is the height of the triangle?
Answer:31 in
Step-by-step explanation:558 ×1/2 ×36 × h = 31 in
Nate tells his mom that he took a test with 60 questions and scored 85%. How many questions did he answer correctly? Show how you know.
Jessica is saving for college. She makes a $75 deposit each week into her savings account. She also decided to use some of the money from the savings account to buy a new music player for $225. The inequality 75x−225≥975 can be used to find x, the number of weeks it will take Jessica to have at least $975 in the account for college. Which graph shows the solution of this inequality?
Koji is installing a rectangular window in a office building, the window is
8
2
3
feet wide and
5
3
4
feet high. The formula for the area of a rectangle is
A=bh
.What is the area of the window?Enter your answer as a mixed number in simplest form in the box. URGENT WORTH 58 POINTS AND WILL GIVE BRAINLIEST!!
Help please I’m stuck on this problem
what are alternate interior angles??
find the area of the trapezoid with a base of 19 inches, height 12.6 inches and base 29.2 inches
Of each side of a equilateral triangle has a measure of 14 units what is the measure of the altitude (1 point)
Two consecutive odd numbers are such that seven times the smaller, subtracted from nine times the bigger, gives 144. Find the numbers.
The smaller odd number is 63, and the next consecutive odd number is 65.
To find the consecutive odd numbers, an algebraic equation is set up and solved, yielding the smaller odd number as 63 and the next consecutive odd number as 65.
To find two consecutive odd numbers meeting the stipulated condition, we will set up an algebraic equation. Let the smaller odd number be represented by n, then the next consecutive odd number is n + 2. The given condition is that seven times the smaller odd number subtracted from nine times the bigger odd number equals 144. This can be expressed as the equation 9(n + 2) - 7n = 144.
Solving the equation:
Expand the equation: 9n + 18 - 7n = 144Combine like terms: 2n + 18 = 144Subtract 18 from both sides: 2n = 126Divide both sides by 2: n = 63Therefore, the smaller odd number is 63, and the next consecutive odd number is 65.
how to find the surface area of the cube
Malik drinks 1/2 liter of water and 1/3 liter of juice. Did Malik drink more water or juice?
Please help!
A square hot tub will be placed in the center of an enclosed area near the pool. Each side of the hot tub measures 6 feet. It will be surrounded by x feet of deck on each side. The enclosed space is also square and has an area of 169 square feet. Find the width o the deck space around the hot tub, x.
Part 1
Write an equation for the area of the enclosed space in the form y=(side length)^2. Hint: Don't forget to add x to each side of the hot tub.
Part 2
Substitute the area of the enclosed space for y in your equation.
Part 3 Solve your equation from part 2 for x.
Part 4
What is the width of the deck around the hot tub.
The Wilkes family sold both of their cars. They sold one car for $7,700 and the other for $9,050. Estimate the difference in the selling price of the two cars by rounding to the nearest thousand and then subtracting.
how to solve Questions 1&2?
please help me
The perimeter of a rectangle is 141 feet, and the length is twice the width. What are the dimensions of the rectangle?
What's the width of the rectangle and what's the length?
To find the width and length of the rectangle, we used the perimeter formula and the given relationship between length and width. The width of the rectangle is 23.5 feet and the length is 47 feet, which are found by dividing the perimeter by the sum of the multipliers of width and then multiplying the width by 2 to find the length.
Explanation:The student asked for help with finding the dimensions of a rectangle given its perimeter and a relationship between its length and width. To find the dimensions of the rectangle, we can use algebra.
Firstly, we know the formula for the perimeter (P) of a rectangle is P = 2l + 2w, where l is the length and w is the width. Since we are given that the perimeter is 141 feet and the length is twice the width (l = 2w), we can set up the following equation:
141 = 2(2w) + 2w
Simplifying the equation, we get:
141 = 4w + 2w
141 = 6w
w = 141 / 6
w = 23.5 feet
Since the length is twice the width, the length (l) is:
l = 2 × 23.5 feet
l = 47 feet
Therefore, the dimensions of the rectangle are a width of 23.5 feet and a length of 47 feet.
Can someone help please........ thanks
Eleven is 20% of _______?
Answer: the answer is 55, eleven is 20% of 55
A survey finds that 40% of students ride in a car to school. Eri would like to estimate the probability that if 3 students were randomly selected, only 1 rides in a car. To simulate this probability, she lets the numbers 0, 1, 2, and 3 represent a student who rides in a car to school and then 4, 5, 6, 7, 8, and 9 represent a student who does not ride in a car to school. She then has a computer randomly select 3 numbers. She repeats this process for 20 trials. The results of these trials are shown in the table. 468 380 120 220 553 945 935 607 473 490 074 981 692 518 408 954 943 389 594 569 Based on this simulation, what is the estimated probability that only 1 of 3 randomly selected students rides in a car to school? Enter your answer, as a decimal, in the box.
The estimated probability that only 1 of 3 randomly selected students rides in a car to school is 0.4 or 40%.
Explanation:The estimated probability that only 1 of 3 randomly selected students rides in a car to school can be calculated by dividing the number of trials where only 1 student rides in a car by the total number of trials. In this case, there were 8 trials where only 1 student rides in a car out of a total of 20 trials.
Therefore, the estimated probability is:
8 / 20 = 0.4
So, the estimated probability is 0.4 or 40%.
Given a right prism where p is the perimeter of the base, h is the height, BA is the area of the bases, and LA is the lateral area, what is the surface area?
Check all that apply.Mulitple answers not just one answer!
A. SA=16-LA
B. SA=BA+LA
C. SA=1/2 16+LA
D. SA=BA+ph
E. SA=p+LA
Answer:
SA= BA+ph
SA= BA+LA
Step-by-step explanation:
Just did this question on APEX.
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4/9. 11/13. 6/5. 14/21 in simplest form
classify the scatter plot as having a negative or no correlation. HOMEWORK DUE TOMORROW
How many 1/8s are in 3?
There are 24 number of 1/8s are in 3.
What is Division?A division is a process of splitting a specific amount into equal parts.
We need to find how many 1/8 's are in 3.
To find this we just need to divide three by 1/8.
3/1/8
Three is divided by one by eight.
The whole number is divided by the fraction.
The fractions has numerator and denominator.
When whole number is divide by the fraction the result we get by multiplying the whole number by denominator of the fraction.
3×8/1
24
Hence, there are 24 number of 1/8s are in 3.
To learn more on Division click:
https://brainly.com/question/21416852
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the equation of a circle is x - y + 1 = 0 . if one end of the diameter is ( 3, p) and other end is ( a, 2 ) , find the equation of the circle.
The equation of the circle in standard form is represented by the expression x² + y² = 2.
How to analyze a geometric locus
Geometric loci are point sets that represents a figure. A circle is a case of geometric locus. In this question we must determine the coordinates of the two points contained in the circumference and derive a circle equation in standard form.
Now we proceed to solve the following system of linear equations:
p = 4 (1)
a = 1 (2)
Then, the ends of the diameter are (3, 4) and (1, 2) and the radius of the circle is found by the following Pythagorean expression:
[tex]r = \frac{1}{2}\cdot \sqrt{(1-3)^{2}+(2-4)^{2}}[/tex]
r = √2
Lastly, the equation of the circle in standard form is represented by the expression x² + y² = 2. [tex]\blacksquare[/tex]
RemarkThe statement is incomplete. Complete statement is shown below:
The equation of the diameter of a circle is x - y + 1 = 0. If one end of the diameter is (3, p) and other end is (a, 2). Find the equation of the circle.
To learn more on circles, we kindly invite to check this verified question: https://brainly.com/question/11833983
Read the following statement: Line segment AB is congruent to line segment QR. Which of the following is an equivalent statement?
AB overbar is similar to QR overbar
AB overbar equals QR overbar
AB overbar is an element of QR overbar
AB overbar is congruent to QR overbar
Answer: [tex]\overline{AB}[/tex] is congruent to [tex]\overline{QR}[/tex].
OR
AB overbar is congruent to QR overbar.
Step-by-step explanation:
The given phrase : Line segment AB is congruent to line segment QR.
We know that to represent a line segment MN we write it in the below notation:-
[tex]\overline{MN}[/tex] (By putting a bar on the name)
Similarly , Line segment AB can be written as [tex]\overline{AB}[/tex] and Line segment QR can be written as [tex]\overline{QR}[/tex]
Therefore , we write the given phrase as : [tex]\overline{AB}[/tex] is congruent to [tex]\overline{QR}[/tex].