Answer:
the third angle= 180-x-(4x+15)
Step-by-step explanation:
if we subtract the two other angles the result will be the measure of the last one
The measure of the third angle in terms of x will be 165° - 5x.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The sum of the angles of a triangle is 180°. If one angle of a triangle measures x and the second angle measures (4x + 15)°.
Then the measure of the third angle in terms of x will be
⇒ 180° - (4x + 15)° - x°
Simplify the expression, then we have
⇒ 180° - (4x + 15)° - x
⇒ 180° - 4x - 15° - x
⇒ 165° - 5x
The measure of the third angle in terms of x will be 165° - 5x.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
What is the diameter of the circle whose center is at (6,0) and passes through the point (2,-3)
Answer: 10 units
Step-by-step explanation:
Use the distance formula(√(x1-x2)^2+(y2-y1)^2)
[tex]\sqrt{(6-2)^2+(0-(-3))^2} \\\\\sqrt{4^2+3^2}\\\\\sqrt{16+9}\\ \\\sqrt{25}\\ \\5[/tex]
Thus, the radius of the circle is 5. Because the diameter is 2r, the diameter = 2(5) = 10
Hope it helps <3
please help, having a hard time
Answer:
The balcony seat costs $9, the orchestra seat costs $9 + $6 = $15.
Step-by-step explanation:
Let x is the cost/price of one balcony seat, in dollars.
Then the cost of one orchestra seat is (x+6) dollars, according to the condtion.
The total cost of tickets is
250x + 400*(x+6) = 8250.
Simplify it step by step.
250x + 400x + 2400 = 8250,
650x = 8250 - 2400 = 5850 ====> x = 5850/650 = 9.
Answer. The balcony seat costs $9, the orchestra seat costs $9 + $6 = $15.
Check. 9*250 + 15*400 = 8250. Correct.
Answer:
C
Step-by-step explanation:
Let x = price of one balcony seat and y = price of one orchestra seat
Price of orchestra seat = Price of balcony seat + 6
Or y = x + 6
[tex]400 \times price \: of \: orchestra \: seat \: + \: 250 \times price \: of \: balcony \: seat \: = 8250[/tex]
Or 400y + 250x = 8250
Now that we have to two equations with two variables, we can use either substitution, elimination or graphing to find the prices of the seats.
I attached a picture of the graph. Remember since we set y as the price of the orchestra seat, the y coordinate in the point of intersection will be the price for one orchestra seat. This will be the same for the price of a balcony seat and the x coordinate.
Therefore, the price of one balcony seat is $9 and the price of one orchestra seat is $15.
use the digits 3,5 and 6 only to complete these calculations. you can use each digit more than once.??.?+??.?=100
Answer:
35 and 65
Step-by-step explanation:
35 + 65 = 100
Answer:
36.5 +63.5 = 100 Hope it helps......Which explains whether or not the graph represents a direct variation? On a coordinate plane, a line goes through points (0, 0) and (1, 3). The graph has a constant of variation of 3, so it represents a direct variation. The graph has a slope of 3, so it represents a direct variation. The graph has a positive slope, so it does not represent a direct variation. The graph does not begin at the origin, so it does not represent a direct variation.
Answer:
The correct answer is The graph has a constant of variation of 3, so it represents a direct variation. Additionally, it also starts at the origin.
Answer:
A, or
"The graph has a constant of variation of 3, so it represents a direct variation.
Answer From Test (Edge)
Click THANKS 4 ME plz
Here are the first 5 terms of a sequence 3,8,17,30,47 find an expression, in terms of n for the nth term of this sequence
Answer:
The first differences are 5, 9, 13, 17, and so the second differences are all 4.
Halving 4 gives 2, so the first term of the sequence is 2n^2.
Subtracting 2n^2 from the sequences gives 1,0,-1-2,-3 which has the nth term -n+2.
Therefore, the formula for this sequence is 2n^2 -n +2.
Answer:
2n^2 - n +2
Step-by-step explanation:
3,8,17,30,47
-------------
this is the final form I got after playing for a while:
1. 3= 4*1 + 1 - 2= 4*(1+0) + 1 -2 = 4*(1 + (1-2)(1-1)/2) + 1- 22. 8= 4*2 + 0 = 4*(2+0)+0= 4*(2+0) + 2-2= 4*(2+ (2-2)(2-1)/2) + 2-23. 17= 4*4 + 1= 4*(3+1) +1= 4*(3+1) + 3-2= 4*(3+ (3-2)(3-1)/2) + 3-24. 30= 4*7 +2= 4*(4+3)+2= 4*(4+3) + 4-2= 4*(4+ (4-2)(4-1)/2) + 4-25. 47= 4*11+ 3= 4*(5+6)+3 = 4*(5+6) + 5-2= 4*(5+(5-2)(5-1)/2) + 5-2.....
n. an= 4*(n+(n-2)(n-1)/2)+ n- 2= 4n + 2(n^2 -3n+2) + n-2==4n +2n^2 - 6n +4 + n - 2= 2n^2 - n +2an= 2n^2 - n +2-------------
tested in excel and works:
1 2 3 4 5 6 7 8 9 10
3 8 17 30 47 68 93 122 155 192
AWARDING BRAINIEST
Find the perimeter of the following shape, rounded to the nearest tenth:
a coordinate plane with quadrilateral ABCD at A negative 2 comma 0, B 0 comma negative 2, C negative 3 comma negative 5, D negative 5 comma negative 3
A) 10
B) 11.3
C) 12
D) 14.1
For the polynomial –2m2n3 + 2m?n3 + 7n2 – 6m4 to be a binomial with a degree of 4 after it has been fully simplified, which must be the missing exponent on the m in the second term? 0 1 2 4
Answer:
(C)2
Step-by-step explanation:
Given the polynomial:
[tex]-2m^2n^3 + 2m^{\boxed{x}}n^3 + 7n^2 - 6m^4[/tex]
where x is the missing exponent.
We desire our polynomial to be a binomial (have two terms) after simplification.
We observe that the first and second term are positive and negative of almost the same term.
Therefore, we rewrite the polynomial in such a way that the first and second term cancels out.
This is:
[tex]-2m^2n^3 + 2m^{\boxed{2}}n^3 + 7n^2 - 6m^4\\$Simplified, we have:\\\\=7n^2 - 6m^4[/tex]
Therefore, the missing exponent on the m in the second term is 2.
Answer:
the answer is c aka 2
Step-by-step explanation:
just took it on edge
pls help answer the question in the picture attatched!
Answer:
N27W
Step-by-step explanation:
Add vectors
w = u+v = <-4,3>+<1,3> = <-3,6>
Cartesian Direction
theta = atan(6,-3) (second quadrant) = 180-63.4 degrees = 116.6 degrees
Bearing = 90-theta = -26.6 degrees from north = N26.6W
Answer:
Answer:
N27W
Step-by-step explanation:
Add vectors
w = u+v = <-4,3>+<1,3> = <-3,6>
Cartesian Direction
theta = atan(6,-3) (second quadrant) = 180-63.4 degrees = 116.6 degrees
Bearing = 90-theta = -26.6 degrees from north = N26.6W
Step-by-step explanation:
What is 2x + 2x + 2 = 4x + 2
Answer:
I think the answer is 33 I'm not sure but that is what I got
help me please.............
Answer:
6^(x)-x+8Step-by-step explanation:
(f+g)x=(6^(x)-4)+(12-x)
(f+g)x=6^(x)-4+12-x
(f+g)x=6^(x)-4+12-x
(f+g)x=6^(x)+8-x
(f+g)x=6^(x)-x+8
This is option 2 or the one you picked
please help me
thx.......
Answer:
a) (-2,-1) b) (-3,0) & (-1,0)
Step-by-step explanation:
For the first part, the turning point is simply where the graph curves. We can see that that happens on (-2, -1).
For the second part, the roots of the equation are simply when the graph crosses the x-axis. This happens twice, at (-3,0) and (-1,0)
Answer:
see explanation
Step-by-step explanation:
(a)
The turning point is where the curve reaches its lowest point before increasing again.
The coordinates of the turning point are (- 2, - 1 )
(b)
The roots are the points on the x- axis where the graph crosses.
The coordinates of the roots are (- 3, 0 ) and (- 1, 0 )
Which set of side lengths forms a right triangle?
Answer:
15, 36, 39
Step-by-step explanation:
Use the Pythagorean theorem.
a² + b² = c²
2² + 3² ≠ 13²
4² + 6² ≠ 10²
9² + 12² ≠ 18²
15² + 36² = 39²
Answer:
15 , 36 , 39Step-by-step explanation:
[tex]Lets -test-using ;\\Pythagoras -Theorem=\\a^2+b^2=c^2\\\\(A.) 2,3,13\\2^2 +3^2 = 13^2\\13 = 169\\WRONG\\\\(B.) =4,6,10\\4^2+ 6^2 =10^2\\16+ 36 = 100\\52 = 100\\WRONG\\(C.) 9,12,18\\9^2+12^2=18^2\\225 = 324\\WRONG\\\\(D.) 15 , 36 ,39\\15^2 +36^2 = 39^2\\1521=1521\\\\CORRECT[/tex]
Help, I’m stuck on this question
Answer: 33 degrees
Step-by-step explanation: Angle x=angle m
Answer:
the triangle on the left is named XYZ
the triangle on the right is named MNL
therefore ∠X ≅ ∠M, ∠Y ≅∠N, and ∠Z ≅ ∠L
since ∠X = 33º, then ∠M = 33º
hope this helps :)
Can someone plzz help ASAP !!!
Answer & Step-by-step explanation:
First, we must evaluate each number so we can see the value of them.
π = 3.141592...
√10 = 3.162277...
-5/2 = -2.5
10/3 = 3.3333....
-1/4 = -0.25
Now, let's order these numbers from greatest to least just as the problem has asked.
1st: 10/3
2nd: √10
3rd: π
4th: -1/4
5th: -5/2
Which is a complete list of factors of each term in the expression 15 + 20x?
Answer: A
Step-by-step explanation:
Select the correct answer from each drop-down menu.
ABCD is a parallelogram
M
M
M
Answer:
x=63
z=72, y=45
Step-by-step explanation:
Angles "z+y" and "x" add up to 180°, so they are supplementary angles.
angle B=72+b+63=180⇒b=180-135=45
angle B=72+45=117
angle A+angle B=180
x+117=180
x=180-117=63
angle D+angle A=180
z=72, y=45 alternate angles (opposite angle of parallelogram are congruent)
x+z=117 = angle B
PLEASE HELP IM BEGGING What steps do you use to solve a system of two equations using substitution?
For example:
3b-45c=120
b-3c=10
Answer:
B is equal to 2.5 and C is equal to -2.5
Step-by-step explanation:
You would first subtract b-3c from 3b-45c
Your equation would be:
3b-45c-(b-3c)=120-10
Then simplify the equation but distributing the negative sign:
3b-45c-b+3c=110
Then reorder the equation:
3b-b-45c+3c=110
Which equals 2b-42c=110
Then divide both sides by 2:
b-21c=55
b=55+21c
Subsitute 55+21c for b:
3(55+21c)-45c=120
Distribute the 3:
165+63c-45c=120
165+18c=120
Subtract 165 from both sides:
18c=120-165
18c=-45
Divide by 18 for both sides
c= -2.5
To find b, substitute -2.5 for c in the b=55+21c
b=55-52.5
b=2.5
Please correct me if I am wrong.
Mr. sanders recorded the amount he spent on gas each month to see if it would be cheaper to take the train to work. According to the table, what was the rate of change between January and May? Answers A) $67 Per Month B) $50 Per Month C) $53 Per Month D) $0 Per Month
Answer:
D) $0 Per Month.
Step-by-step explanation:
In January, Mr. Sanders spent $50 on gas. In May, Mr. Sanders spent $50 on gas. The amount that he spent on gas did not change from January to May, so the rate of change between January and May is D) $0 Per Month.
Hope this helps!
is 4,8,10 pithogoreon triplet
Answer:
no
Step-by-step explanation:
Since 4² + 8² = 10² is a false statement, 4, 8, 10 is not a Pythagorean Triple.
HELLLLP!!!!!!!! 20 points!!!! Jeannie works 5 hours on Tuesday, 3 hours on Wednesday, and 4.5 hours on Thursday. If h represents her hourly pay rate, which expression below shows the amount she earned? 12.5 12.5h 12.5 + h StartFraction 12.5 Over h EndFraction
Answer:
12.5h
Step-by-step explanation:
add all of the hours up
since h is the pay and unknown place h after the hours
A line has a slope 2/3 and a y- intercept -2 witch answer is the equation of the line
Answer:
y = 2/3x - 2
Step-by-step explanation:
I'm pretty sure this is asking about the slope intercept form, since you didn't give us the actual answers. If not, comment below. Slope intercept form follows the y = mx + b form, where m is the slope and b is the y-intercept. By plugging your givens in, you get y = 2/3x - 2
Which of the following represents the range of the graph of F(x) below
what is the square root of 9/49
Answer:
[tex] \pm \frac{3}{7} [/tex]
Step-by-step explanation:
[tex] \huge \sqrt{ \frac{9}{49} } = \pm \frac{3}{7} \\ [/tex]
One car traveled 248 and drove 5 mph slower than a second car which drove 268m / (les) . the cars were traveling for the same , how fast was each car traveling ? Show all work
Answer:
The first car is traveling at a speed of
s1=62 mi/hr.
The second car is traveling at a speed of s2=67 mi/hr.
Step-by-step explanation:
Let t be the amount of time the cars are traveling
s1=248/t and s2=268/t
We are told:
s1=s2-5
That is
248/t=268/t-5
⇒248=268- 5t
⇒5t=20
⇒t=4
s1=248/4=62
s2=268/4=67
Is (8, 1) a solution to the equation y = x?
Yes or No
Answer:
no
Step-by-step explanation:
Substitute the point into the equation
y=8
1 =8
This is not true so the point is not a solution
Answer:
No
Step-by-step explanation:
To test whether an ordered pair is a solution of an equation, we simply plug in the x-coordinate in for x and the y-coordinate in for y and then examine the outcome to see if the resulting equation is true.
Here, substitute 8 in for x and 1 in for y:
y = x
1 = 8
Clearly, we see that 1 is NOT equal to 8, which means (8, 1) is not a solution to the equation y = x.
Thus, the answer is no.
~ an aesthetics lover
Help pleaaaseee and thanks
Answer:
Its B!..not much help lol but hope u get it right.
Elsa, Alan, and Deon have a total of $82 in their wallets. Alan has 3 times what Deon has. Deon has $7 less than Elsa. How much do they have in their wallets?
Answer:
Alan=$45
Deon=$15
Elsa=$22
Step-by-step explanation:
Let
Elsa=x
Deon=x-7
Alan=3(x-7)
Total=$82
x+(x-7)+3(x-7)=82
x+x-7+3x-21=82
5x-28=82
5x=82+28
5x=110
x=110/5
=22
Elsa=x=$22
Deon=x-7
=22-7
=$15
Alan=3(x-7)
=3(22-7)
=3(15)
=$45
Find the point-slope equation for the line that passes through the points (3,27) and (-8,-61). Use the first point in your equation.
Answer:
[tex]\huge\boxed{y-27=8(x-3)}[/tex]
Step-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
where
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (3, 27) and (-8, -61).
Calculate the slope m:
[tex]m=\dfrac{-61-27}{-8-3}=\dfrac{-88}{-11}=8[/tex]
Susbtitute to the equation of a line:
[tex]y-27=8(x-3)[/tex]
PLEASE ANSWER QUICK! I REALLY NEED HELP!
Answer:
a) Angle 1 = Value in degree = 95°
b)Angle 2 = Value in degree = 77°
c) Angle 3 = Value in degree = 85°
d) Angle 4 = Value in degree = 103°
Step-by-step explanation:
We use circle theorems to solve for this above question.
a) Angle 1 = Value in degree = 95°
Inscribed Angle is 1/2 of an Intercepted Arc
From the diagram, Angle 1 intersects at Arc B and Arc C
This means Angle 1 = (B + C)/ 2 =
Arc B = 100°
Arc C = 90°
Angle 1. = (100° + 90°)/ 2 = 190/ 2 = 95°
b)Angle 2 = Value in degree = 77°
From the diagram, Angle 2 intersects at Arc C and Arc D
Inscribed Angle is 1/2 of an Intercepted Arc
This means Angle 1 = (C+ D)/ 2
C = 90°
D = 64°
Angle 1. = (90° + 64°)/ 2 = 154/ 2 = 77°
c) Angle 3 = Value in degree = 85°
From the diagram, we can see that Angle 1 is opposite Angle 3, hence,
Opposite angles are supplementary which means their addition = 180°
Mathematically:.Angle 1 + Angle 3 = 180°
Angle 1 = 95°
95° + Angle 3 = 180°
Angle 3 = 180° - 95° = 85°
d) Angle 4 = Value in degree = 103°
From the diagram, we can see that Angle 2 is opposite Angle 4,
Hence,
Opposite angles are supplementary which means their addition = 180°
Mathematically:.Angle 2 + Angle 4 = 180°
Angle 2 = 77°
77° + Angle 3 = 180°
Angle 4 = 180° - 77° = 103°
Pls hurry
For what value of the variable is the value of the expression:
8-y two times greater than the value of the expression 7+y?
Answer:
-2
Step-by-step explanation:
8--2=8+2=10
7+-2=7-2=5
5x2=10.