The first and the second sequence are arithmetic and geometric sequence, respectively
The first number in both sequences is 14
How to determine the first number?From the question, we have the following rules
Rule 1Start = 7
Multiply by 2
Rule 2Start = 8
Add = 2
So, the numbers in the sequence are:
Rule 1: 7, 14, 28, 56......
Rule 2: 8, 10, 12, 14, .....
By comparing the numbers in the sequence, we can see that the first number in both sequences is 14
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If A(x1, y1), B(x2, y2), (X3, Y3), and D(xx,ya) form two line segments, AB and CD, which condition needs to be met to prove AB ICD? ОА У4 -У, У, -у, - X4 - X X - X OB. 74-Y3 + X4-X = 0 V₂ - X, X - X, oc Yo-Yay 72-Y1--1 x - x x - X, OD. 12-y, *- X, = 1 x₂ - X, Yo-Y OE Y:-72. X.-X2-0 Y₂-X, X - X,
Answer:
The answer is option C..........
To prove that AB is parallel to CD, we need to show that the slope of AB is equal to the slope of CD.
What is line segment?A line segment is a section of a line with two endpoints. A line segment, unlike a line, has a fixed length.
To demonstrate that AB is parallel to CD, we must show that the slope of AB equals the slope of CD.
The slope of AB can be calculated using the formula:
mAB = (y2 - y1) / (x2 - x1)
Similarly, the slope of CD can be calculated using the formula:
mCD = (ya - Y3) / (xx - X3)
If mAB = mCD, then AB is parallel to CD.
Therefore, the condition that needs to be met to prove AB is parallel to CD is: (y2 - y1) / (x2 - x1) = (ya - Y3) / (xx - X3)
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Use the figure below to answer the question. What is the measure of ∠ABC? *
Answer:
D 98°
Step-by-step explanation:
180-82 = 98 or the long way
3x+5 = 180-82
3x = 93
x = 31
3(31) + 5 = 98
A lamp points toward the base of a doorway as shown below, what is the height, in feet, of the lamp
Answer: [tex]40\sqrt{3}[/tex]
Step-by-step explanation:
30-60-90 triangle- leg opposite 30 is x, leg opposite 60 is [tex]x\sqrt{3}[/tex] and the hyp. is 2x
we need to figure out X
we also know that the leg opposite 60 is = 120
[tex]120=x\sqrt{3}[/tex]
square everything
[tex]14400=3x^{2}\\4800=x^{2} \\\sqrt{4800} =x\\\sqrt{1600*3} =x\\40\sqrt{3} =x[/tex]
How many solutions exist for the system of equations below?
Answer Choices:
none
one
two
infinitely many
Answer:
None
Step-by-step explanation:
No solutions exist for the system of equations because the system is illogical: 3x+y=3x+y, but 18≠16.
Identify the volume of a regular triangular pyramid with base edge length 14 ft and height 9 ft.
Answer:
The volume is 588 ft³
Step-by-step explanation:
[tex]v = a {}^{2} \frac{h}{3} = 14 {}^{2} \times \frac{9}{3} = 588[/tex]
Answer:
254.6 ft3 F
Step-by-step explanation:
To find the volume of the pyramid, first calculate the area of the base.
As the pyramid is the regular triangular pyramid, the base is an equilateral triangle.
To find the area of the equilateral triangle, calculate the length of the height.
Since the triangle is equilateral, each angle in the triangle equals 60°.
The height forms a 30°- 60°- 90° triangle. One leg of this triangle is equal to half of the side of the large triangle, or 7 ft. The other leg of the triangle is equal to 73‾√ ft by the 30°- 60°- 90° Triangle Theorem.
Therefore, the length of the height of the triangle is 73‾√ ft.
To find the area of the base of the pyramid, B, use the formula for the area of a triangle, B=12bh.
Substitute 14 for b and 73‾√ for h.
B=12⋅14⋅73‾√
Simplify.
B=493‾√ ft2
To find the volume of the pyramid, use the formula for the volume of a pyramid, V=13Bh.
Substitute 493‾√ for B and 9 for h.
V=13⋅493‾√⋅9
Simplify.
V=1473‾√
Use a calculator to approximate.
V≈254.6 ft3
Therefore, the volume of the regular triangular pyramid is about 254.6 ft3.
the distance between two points is 9 and point one is located at (-2, 2), what could be the possible coordinates of point two?
(2, 9)
(7, 2)
(11, 2)
(2, 11) HELP NOW
NO LINKS PPLS I WILL GIVE THE CROWN THING ITS WORTH 50 points
According to some sources, the African continent has about 170 million Internet users. According to the bar graph, which statement is true?
Africa has fewer users than the Middle East.
Africa has more users than Asia.
Africa has more users than Europe but fewer than Asia.
Africa has more users than the Middle East but fewer users than North America.
Answer:
D) Africa has more users than the Middle East but fewer users than North America.
Step-by-step explanation:
Hope it helps :)
A line is perpendicular to y = - x - 2 and intersects the point (-5, 10)
Answer:
y = x + 15
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = - x - 2. Its slope is -1. A line perpendicular to this will have a slope of 1.
Plug this value (1) into your standard point-slope equation of y = mx + b.
y = 1x + b or y = x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-5, 10). Plug in the x and y values into the x and y of the standard equation.
10 = (-5) + b
Simplify.
10 = -5 + b
Now, add 5 to both sides to isolate b.
15 = b
Plug this into your standard equation.
y = x + 15
This equation is perpendicular to your given equation (y = -x - 2) and contains point (-5, 10)
Hope this helps!
name the angle in four ways. Then classify the angle as an acute, right, obtuse, or straight.
Find the length of AC using Pythagorean Theorem.
Answer:
23
Step-by-step explanation:
Solve each of these equations. Explain or show your reasoning.
2(x+5)=3x+1
3y−4=6−2y
3(n+2)=9(6−n)
A local city collects 8% sales tax. If the
total purchase was $216.00, then how
much was collected for sales tax?
Answer:
156.00
Step-by-step explanation:take away 8% sales tax away from it
⚠️URGENT PLEASEEEEE HELP!!!
Find the m
Answer
It is 112
Step-by-step explanation:
What is the mass of a box that weighs 1.4 kilograms? (1,000 grams = 1 kilogram)
A. 14,000 g
B. 140 g
C. 1.4 g
D. 1,400 g
Answer:
D
Step-by-step explanation:
Answer:
it is D im 99% sure
Step-by-step explanation:
dddddddd
Find the general term of series 1/2-1+2-4+
For the given sequence the general term could be defined as n/(n + 1), where 'n' is clearly a natural number.
Just solve this for my friend, can u
Simplyfy 192/-168
Answer:
-8/7 is your simplified answer :)
Step-by-step explanation:
Have a nice day <3
5(x+8)
Help please!!!!!!!!!!!!!!!!!!
Answer:
5x+40
Step-by-step explanation:
You would distribute 5 to x+8 and that would add up to 5x+40.
Answer:
Step-by-step explanation:
5x+40
PLEASE HELP................................!
Answer:
-6 and -4 only
Step-by-step explanation:
Determine whether the vertex of the function is a maximum or minimum, and find its coordinates.
f(x) = -2x2 + 32x - 126
Answer:
MAX: (8, 2)
too lazy to write out the solution, sorry.
Answer:
this is what i got -2(x-9)(-7) hope it helps
Step-by-step explanation:
ANSWER THE QUESTION FOR BRAINLIEST
Answer:
C, the graph is increasing when x is between -1 and 2.
Step-by-step explanation:
When it is increasing, it is getting higher up the y axis. The other two lines are going lower down the x axis so they are decreasing. This means that it has to be C.
hope this helps :)
Please help me i have no clue what the answer is :?
Answer:
1. Yes
2. They could change the 60° angle into a different one.
Step-by-step explanation:
1. Two triangles are the same if they share two side lengths with the same angle between them.
2. Since the triangles are equal if they share two side lengths with the same angle between them, if they changed the angle between 3 and 5, it'd no longer be the same triangle.
please help again once again 10 POINTS AND 15!
40 cubic units, just count them my guy
you got a chunk of 32 and a chunk that's 8
ΔRST~ΔUVW. If ST=36 inches, UV=45 inches, and VW=18 inches, what is the length of RS?
Answer:
hi
Step-by-step explanation:
If AD is the perpendicular bisector of EB, find each measure.
Answer:
look at the picture
Step-by-step explanation:
I'm not sure about the value of x but I believe it is -23
If the y-intercept of your quadratic is (0,5) and your axis of symmetry is x=4,
determine a second point on your quadratic graph based on this information.
The axis of symmetry goes through the x-value. 4. So your equation for your axis of symmetry is going to be x equals. 0 (undetermined)
- branliest will be appreciated
Thanks
4 x 5 - (2² - 2) =?
(18 ÷ 3) + (3² - 7) =?
If each small cube has a volume of 1 cm,
what is the volume of this rectangular prism? HELP A.S.A.P. ILL GIVE BRAINLIST
Answer:
The answer is 40 Centimeters.
Step-by-step explanation:
This answer is correct since there are 4 rows of 10, creating the Rectangular prism. i hope this helped!
You roll a pair of six-sided number cubes, numbered 1 through 6. What is the probability of rolling two odd numbers? (Enter your probability as a fraction
Answer:
1/4 or 25%
Step-by-step explanation:
The probability for rolling an odd number is 50% or [tex]\frac{1}{2}[/tex] because there are 3 odd numbers, (1, 3, 5) and 6 total outcomes (1, 2, 3, 4, 5, 6). [tex]\frac{3}{6} =\frac{1}{2}[/tex]
The probability for rolling two odd numbers in a row is
[tex]\frac{1}{2} *\frac{1}{2} =\frac{1}{4}[/tex]
So, the probability of rolling an odd number twice is 25% or [tex]\frac{1}{4}[/tex].
Janine charges $8.25 per hour to walk dogs. She
walks dogs for 3 hours on Saturday and 4 hours on
Sunday. She calculates her total pay to be $57.75.
Which equation could be used to check the reasonableness of her total?
Answer:
walks dogs for 3 hours on Saturday and 4 hours on
Sunday. She calculates her total pay to be $57.75.
Which equation could be used to check the reasonableness of her total?
Step-by-step explanation: concept
Answer: Multipulcation
Step-by-step explanation:
The reason why is because you would first need to calculate how much she is owed [8.25 x 3 +(8.25 x 4)]
Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. Hint: the sample proportion ( p hat) is x/n. n=195, x= 162; 95% confidence
Answer:
Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. 16)n = 182, x = 135; 95 percent
✓ 16)n = 182, x = 135; 95 percent sample proportion: p-hat = 135/182 = 0.74 E = 1.96*sqrt[0.74*0.26/182] = 0.0637 95% CI: 0.74-0.0637 < p < …