Answer:
a₁₅ = 122
Step-by-step explanation:
Arithmetic sequence formula:
[tex]a_n=a_1+(n-1)d[/tex]
where aₙ is the nth term, a₁ is the first term, n is the index, and d is the rate of change.
For your given sequence:
[tex]10, 18, 26,34,42,...[/tex]
a₁ is 10
n is 15 (15th term)
d is 8 (each term increases by 8 over the last)
Plug those 3 variables in, and solve for a₁₅:
[tex]a_n=a_1+(n-1)d\\a_1_5=10+(15-1)8\\a_1_5=10+(14)8\\a_1_5=10+112\\a_1_5=122[/tex]
If given DG ≅ JK, which congruence postulate or theorem must you use before proving FG ≅ HK?
Answer:
the correct answer choice is marked (AAS)
Step-by-step explanation:
All the corresponding angles are marked congruent. If one corresponding side is marked congruent, you can claim AAS or ASA congruence for the triangles: one side and two angles. Of these, AAS is among the answer choices.
You must use AAS to show triangle congruence before claiming FH ≅ HK by CPCTC.
50 POINTS, GET RIGHT FOR BRAINLIEST
What is the prime factorization of 144? (The ^ means exponent)
A) 2 × 6^2
B) 2^2 × 3^4
C) 2^3 × 3^2
D) 2^4 × 3^2
Answer:
A and D
Step-by-step explanation:
A is 2 times 6 to the 2nd which is just 24 and D is 16 times 9 which is 144 both are prime factors of 144.
My sweatshirt rhat i want to buy is $36 today the price is 30% off what is the price of the sweatshirt today
will give brainliest !!
Answer:
Triangle A'B'C'
A'B'= 7.81
B'C'= 6
A'C'=5
C) Perimeter= 18.81 Area 15
Triangle ABC
AB=5
BC=4
AC=3
c) Perimeter = 12 Area = 6
Step-by-step explanation:
Triangle ABC work
Perimeter 4+3+√4^2+3^2=12
Area 4*3/2=6
Triangle A'B'C' work
Area 6*5/2=15
Perimeter 6+5+√6^2+5^2=18.81025
Please give brainliest
9 (4x - 6) = 2(-3 - 2x)
[tex]9(4x-6) = 2(-3-2x)\\\\\implies 36x - 54 = -6-4x \\\\\implies 36x +4x = 54 -6 \\\\\implies 40x = 48\\\\\implies x = \dfrac{48}{40} = \dfrac{6}5[/tex]
What is the slope of the line
Answer:
2/3
Step-by-step explanation:
rise over run is 2 over 3, and it is positive because the y increases as the x increases!
y = -7x - 21
What is the slope of this equation and what is the Y intercept.
Answer:
Slope is -7
Y intercept = -21
Step-by-step explanation:
The equation is Y=mx+b
M is the slope so -7 would equal the slope
B is where your Y- intercept already is so that would equal -21
Find the positive root of x^2+2x-35=0 in math Please.
Answer:
x2+2x−35=0
Step 1: Factor left side of equation.
(x−5)(x+7)=0
Step 2: Set factors equal to 0.
x−5=0 or x+7=0
x=5 or x=−7
Step-by-step explanation:
what equation represents the line that passes through the points (3, -2) and (-1, 10)
Answer:
y=-3x-9
Step-by-step explanation:
Let's find the slope of the line
m=-2-10/3--1
m=-12/4=-3
The equation is given as
y-y1=m(x-x1)
y--2=-3(x-3)
y+2=-3x+9-2
y=-3x-7-2
y=-3x-9
helppppppp pleaseeeee
if somebody can answer this I'll really really appreciate it
Answer:
What is the question?
Step-by-step explanation:
In the figure, lines j and k intersect to form the
angles shown. What is the measurements of angle 1
Order the numbers from least to greatest.
1,553
1,347
1,644; 1,553; 1,347
b. 1,347; 1,553; 1,644
1,644
a.
C.
1,553; 1,347; 1,644
Please select the best answer from the choices provided
Ο Α
Ο Ο Ο
B
Answer:
b even though you made this hard to read lol, its b
Step-by-step explanation:
What is the prime factorization of 585?
585=
×
×
×
help pls im not thatgood at math
Answer:
3^2 * 5 * 13
Step-by-step explanation:
585
= 5 * 117
= 5 * 3 * 39
= 5 * 3 * 3 * 13
= 3^2 * 5 * 13
Answer:
3×3×5×13 that's the answer
solve the following equations
A) 2 (A + 5) = 16
b) 4 p - 2/3 = 7/3
c) 3y/2 + 8 = (-4)
pls pls pls pls pls pls answer steps
Answer:
A. 2(a+5) = 16
2a + 10 = 16
2a = 16-10
2a = 6
2a÷2 = 6÷2
a = 3
B. 4p-2/3 = 7/3
4p = 7/3 + 2/3
4p = 3
4p÷4 = 3÷4
p = 3/4
C. 3y/2 + 8 = -4
3y/2 = -4 - 8
3y/2 = -12
[ 3y/2 = -12 ] 2
3y = -24
3y ÷ 3 = -24 ÷ 3
y = -8
[tex] \: \: \: \: \: [/tex]
A.) a = 3
B.) p = ¾
C.) y = -8
hope it helpsrefer to the attachment
[tex] \: \: \: \: \: \: \: \: [/tex]
If needed,round your answer to the nearest cent.
please help me.
Answer:
1.62 per pen
Step-by-step explanation:
Take the total cost and divide by the number of pens
9.69/6
1.615
Round to the nearest cent
1.62 per pen
ANSWER ONLY IF U KNOW, OR THINK U KNOW.
(ILL MARK U BRAINLIEST)
Answer:
I KNOW FOR SURE
Step-by-step explanation:
if that's all the question is then I definitely know the answer ;)
if you forgot to write the rest then hmu haha
Please help I’ll mark u as brilliant
Answer:
-2,3
Step-by-step explanation:
So that is the highest point marked on the graph.
Please answer below :) I will mark the brainiest answer
Answer:The last option is correct.
Step-by-step explanation:
You research rowboat rentals at a local lake. The total charge to rent a rowboat for 2 hours is $22 for each boat, plus a fee of f dollars for each passenger, up to 5 passengers.
The day you decide to go to rent a rowboat, you take n friends with you and decide to rent one boat for 2 hours. Your total cost is $34.
Using f, n, and the other information provided, model this situation by completing the equation: __________________________ = $34.
Answer:
f=2 N=5
Step-by-step explanation:
Determine which postulate can be used to prove the triangles are congruent then identify the valid congruency statement (SELECT TWO ANSWERS)
Options:
A) AAS
B)ASA
C) HL
D) CDE ≅ FDE
E) DEC ≅ EDF
F) ECD ≅ DFE
Answer:
A) AAS
D) CDE ≅ FDE
Step-by-step explanation:
∠C ≅ ∠F Given
∠DEC ≅ ∠EDF Given
DE ≅ DE Reflexive property
ΔCDE ≅ ΔFDE AAs congruent
A family on a trip budgets $1,338 for meals and gasoline. If the price of a meal for the family is $90 and if gasoline costs $2.80 per gallon, then how many gallons of gasoline can the family buy if they buy 13 meals
’creating a system linear equation, the number of possible gallons of gasoline that can be purchased is 60 gallons
Given the Parameters :
Total budget = 1338Meal cost = $90Gasoline cost = $2.80 per gallon Number of meals = 13 Number of gallons of gasoline = gHence, we have :
90(13) + 2.80g = 13381170 + 2.80g = 1338
2.80g = 1338 - 1170
2.80g = 168
g = 168/2.80
g = 60
Therefore, only 60 gallons of gasoline can be purchased.
Learn more : https://brainly.com/question/18796573
multiply (2x+3) (-x -2)
Answer:
[tex]-2x^{2} -7x-6[/tex]
Step-by-step explanation:
(2x + 3) (-x - 2)
distribute first term, to the second term:
2x(-x) + 2x(-2) + 3(-x) + 3(-2)
multiply:
[tex](-2x^{2})[/tex] + (-4x) + (-3x) + (-6)
[tex]-2x^{2} -4x-3x-6[/tex]
combine the like terms:
[tex]-2x^{2}[/tex] - 4x - 3x - 6
-7x
[tex]-2x^{2}[/tex] - 7x - 6
final answer :
[tex]-2x^{2}[/tex] - 7x - 6
hope this helped !!
mark me brainliest :D
help algebra 2 look at all the pictures please multiple choice
Relation given:-
{(-2,5),(-1,3),(0,-1),(1,-3),(2,-5),(3,-7)}Inverse
{(5,-2),(3,-1),(-1,0),(-3,1),(-5,2),(-7,3)}#2
f(x)=2x-3Let it be y
[tex]\\ \tt\hookrightarrow y=2x-3[/tex]
[tex]\\ \tt\hookrightarrow 2x=y+3[/tex]
[tex]\\ \tt\hookrightarrow x=y+3/2[/tex]
Write in terms of x
[tex]\\ \tt\hookrightarrow f^{-1}(x)=\dfrac{x+3}{2}[/tex]
-8,-8,-6,-2,4,12,22
What. Is the answer
Answer:
-8-8-6-2= -24, -24+4+12+22=14
please someone help. I really need help with this question. I will give brainliest
Answer:
3/200
Step-by-step explanation:
total medicine = 9/50 liter
evenly divided into 12
so 1 prescription = 9/50 / 12
= 9/50*12
=3/50*4
=3/200
Question 13 options:
Isaac drops an apple from the top of a lighthouse, 154 feet above the ground.
The equation to represent the height of the apple at a given time is h=−16t2+154,
where h is the height of the apple, and t is the number of seconds after the apple is dropped.
How many seconds (t) will it take for the apple to hit the ground (h = 0)?
[Find the value of t, rounded to the nearest tenth.]
Answer:
3.1 sec.
Step-by-step explanation:
Simplify this expression: 4(x+3)+3(5-x)
Answer:
x+27
Step-by-step explanation:
Let's simplify step-by-step.
4(x+3)+3(5−x)
Distribute:
=(4)(x)+(4)(3)+(3)(5)+(3)(−x)
=4x+12+15+−3x
Combine Like Terms:
=4x+12+15+−3x
=(4x+−3x)+(12+15)
=x+27
Hope you find this Useful!
Answer:
x+27
Step-by-step explanation:
Distribute
4(+3)+3(5−)
4+12+3(5−)
Rearrange terms
4x+12+3(5−x)
4+12+3(−+5)
Distribute
4x+12+3(−x+5)
4+12−3+15
Add the numbers
4x+12−3x+15
4+27−3
Combine like terms
4x+27−3x
1+27
Multiply by 1
1x+27
+27
A farmer has 24 bushels of apples and can harvest 22 bushels of apples each day?
Answer:
................ I don"t know sorry I hate you
The second of three numbers is 8 more than the first,
and the third number is 3 less than 3 times the first.
If the third number is 15 more than the second, find
the three numbers.
1st___
2nd___
3rd___
Answer:
1st = 13
2nd = 21
3rd = 36
Step-by-step explanation:
Let the first number be
f
The second of three numbers is 8 more than the first,
f + 8
third number is 3 less than 3 times the first.
3f - 3
---------------------------
the third number is 15 more than the second,
3f - 3 = (f + 8) + 15
3f - 3 = f + 23
Subtract f from both sides
2f - 3 = 23
add 3 to both sides
2f = 26
Divide both sides by 2
f = 13
f + 8 = 13 + 8 = 21
3f - 3 = 3(13) - 3 = 36
3 less than the quotient of a number and 5 is -7
Answer: The number is -20
Step-by-step explanation:
Take each part of the sentence and write what it is telling us:
3 less than the quotient of a number and 5 is -7
The quotient of a number and 5 is (X/5), where X is the "number."
3 less than is (X/5) - 3
is -7 is = -7
Therefore:
3 less than the quotient of a number and 5 is -7 is: (X/5) - 3 = -7
---
(X/5) - 3 = -7
(X/5) = -4
X = -20
===
See if this works:
3 less than the quotient of -20 and 5 is -7
(-20/5) = -4
Three kless than -4 is -7: It works