Answer: x = 18
Concept:
Here, we need to know the idea of the isosceles decomposition theorem.
The Isosceles Decomposition Theorem states that in an isosceles triangle if a line segment goes from the vertex angle to the base, the following conditions are equivalent:
The line segment meets the base at its midpoint, The line segment is perpendicular to the base. The line segment bisects the vertex angle.In this question, the first condition that is equivalent would be useful.
Solve:
Given information
First side of the line segment (TU) = 2x + 24
Second side of the line segment (UR) = 5x - 30
Given expression deducted from the first condition of the isosceles decomposition theorem
Second side = First side
Substitute values into the expression
5x - 30 = 2x + 24
Add 30 on both sides
5x - 30 + 30 = 2x + 24 + 30
5x = 2x + 54
Subtract 2x on both sides
5x - 2x = 2x + 54 - 2x
3x = 54
Divide 3 on both sides
3x / 3 = 54 / 3
[tex]\boxed{x=18}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Translate this phrase into an algebraic expression.
the quotient of 14 and a number
Answer:
Step-by-step explanation:
Let the number be x
14 ÷ x = [tex]\frac{14}{x}[/tex]
Answer:
14 / x
Step-by-step explanation:
quotient = /
14 = 14
a number = the variable, let's call it x
Brainliest please!
simplify the monomial
11x^2 -3x^2
[tex]\sf11 {x}^{2} - 3 {x}^{2} \\ [/tex]
They are like terms so you can just easily subtract them directly.
[tex]\sf11 {x}^{2} - 3 {x}^{2} \\ = \boxed{\bf8x {}^{2}} [/tex]
Hope it helps.
RainbowSalt2222
[tex]\\ \sf\longmapsto 11x^2-3x^2[/tex]
Subtract the coefficients[tex]\\ \sf\longmapsto (11-3)x^2[/tex]
[tex]\\ \sf\longmapsto 8x^2[/tex]
Hey can someone help me figure out what 3/4(x-8)=12
Answer:
x=24
Step-by-step explanation:
3/4(x-8)=12
Multiply each side by 4/3
4/3*3/4(x-8)=12*4/3
x-8 = 16
Add 8 to each side
x-8+8 = 16+8
x=24
Answer:
x = 24
Step-by-step explanation:
Essentially, you need to break this apart.
You need to isolate the x to figure it out with division or something.
To isolate, you need to get rid of the numbers around it.
To get rid of the 3/4, you can convert it to a decimal to make it easier, and then divide both sides by 0.75 to get rid of it on the x's side.
You now have
x-8 = 12/0.75
You can quickly punch the right side into a calculator to make it easier.
x - 8 = 16
You then add 8 to both sides to finish off the x, to get
x = 24
please solve no k and m.
Step-by-step explanation:
soln no. k
LHS: cosø√1+cot^2ø
= cosø×cosecø
= cosø× 1/sinø
= cosø/sinø
= cotø
=√cosec^2-1. [: cot^2ø=cosec^2ø-1
according to equation
sending the (^2) will be
root over in another Sid]
= RHS proved
for number m take the help of the pic
59,8x60,2 bằng bao nhiêu ạ
Answer:
3,6
Step-by-step explanation:
Find the surface area of the cube shown below.
units?
2 1/2
Answer:
SA = 37.5 units^2
Step-by-step explanation:
2 1/2 = 2.5
the Surface Area of the cube
SA = 6a^2
SA = 6(2.5)^2
SA = 6(6.25)
SA = 37.5 units^2
Use the distance formula to find the perimeter. Round to the nearest tenth
Answer:
18.8
Step-by-step explanation:
You just add the two lengths and then do pythagorean theory to get the length of the hypotenuse. Then you add them all together to get 18.8. Hope this helps.
Find the surface area of the composite figure
Answer:
498
Step-by-step explanation:
For the blue block: 4(7x2) + 2(2x2) = 56 + 8 = 64
For green block: 4(12x7) + 2(7x7) = 336 +98 = 434
434 + 64 = 498
Can someone PLEASE answer the Algebra Question CORRECTLY BELOW!
Thank you, I will mark brainiest!
Answer:
There are 0.454 kg in one pound.
So, in 120 pounds there are 0.454 x 120 kgs.
This is equal to 54.48, and the answer is 54.48 kg.
Let me know if this helps!
which of the following equations is an example of inverse variation between the variables x and y?
Answer:
C
Step-by-step explanation:
A and B are examples of direct variations because there is a nonzero constant k in each such that y=kx. A's k=1/12 while B's k=12.
D is not a direct or inverse variation because of the plus/minus constant.
C is an inverse variation because it has form y=k/x where k is nonzero. This k=12.
Answer:
C
Step-by-step explanation:
The equation representing inverse variation is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
The only equation that fits this description is
y = [tex]\frac{12}{x}[/tex] → C
The diameter of a cone is 34 ft. The height is 16 ft. What is the volume in cubic ft?
Step-by-step explanation:
Hi there!
From the given Question, we have;
Diameter (d) = 34ft
Height (h) = 16ft
Now;
Radius (r) = d/2
= 34/2
= 17 ft
Now;
Volume (v) = 1/3(πr²h)
= 1/3(3.14 * 17² * 16) ft³
= 4839.78 ft³
Therefore, the Volume is 4839.78 ft³.
Hope it helps!
write the following fractions as decimals 6 2/25 answer
Answer:
6.08
Explainion: is shown in picture above
Someone help pleasee
find the common ratio 3, 9, 27, 81
solve the following: If 7a – 4b = 3, then b =
Answer:
D (7a-3)/4
Step-by-step explanation:
7a – 4b = 3
Subtract 7a from each side
7a-7a – 4b = 3-7a
-4b = 3 -7a
Divide by -4
-4b/-4 = (3-7a)/-4
b = (7a-3)/4
Answer:
b = (7a - 3)/4
Step-by-step explanation:
7a - 4b = 3
=> -4b = 3 - 7a
=> b = (3 - 7a)/(-4)
=> b = -(3 - 7a)/4
=> b = (-3 + 7a)/4
=> b = (7a - 3)/4
taylor bought 2 bottles of orange juice and a bottle of apple juice for $6.55. The bottle of apple juice cost $0.35 less than the bottle of orange juice. What was the cost of the bottle of orange juice?
Answer:
$2.3
Step-by-step explanation:
Let the price of the orange juice be x
We know he bought 2 bottles of orange juice = 2x
He also bought an apple juice which is 0.35$ less than orange juice, so the price of the apple juice would be = (x-0.35)
The sum of these two purchases = $6.55
2x + (x-0.35) = 6.55
2x + x - 0.35 = 6.55
3x = 6.55 + 0.35
3x = 6.9
x = 6.9/3
x = 2.3
So the bottle of orange juice costs $2.3
answered by g a u t h m a t h
Write the following integers along the maze so they are
increasing from start to finish. The shaded box in the maze will
have the answer to the question.
5, -14, -39, -3, 61, -60, -23, -72, -48, -11, 100, -45, 10,
-57, -1, -29, -64, -37, 0, -65, 74, 98, -28, -7,-63, -49,
--21, -54, 27, 53,-9, -32, -16,35, -30, -18, -52, 86, -46, 42,
-56, -41, -22, -43, 19
START
If 4x + 2y = 14 and x - 2y = 6, what is the value of y?
Answer:
y is -1
Step-by-step explanation:
[tex]4x + 2y = 14 - - - (a) \\ x - 2y = 6 - - - (b)[/tex]
(a) + (b):
[tex]5x = 20 \\ x = 4[/tex]
therefore:
[tex]x - 2y = 6 \\ 4 - 2y = 6 \\ 2y = - 2 \\ y = - 1[/tex]
Answer:
y must be -1
Step-by-step explanation:
We are given the system of linear equations
4x + 2y = 14
x - 2y = 6
and need to find the value of y. Combining the two equations yields
5x = 20, and so we know that x must be 4.
If x is 4, then the second equation becomes 4 - 2y = 6, or -2y = 2.
Then y must be -1.
Which of the following is an integer?
95.2
73
54
41
-26
Answer:
95.2 is not an integer
and other are integers
please help me in solving this
Answer:
it can be 5 from my side is that right
Answer:
is ur question right
Step-by-step explanation:
is ur question right
is ur question right
is ur question right
Hey I want to make sure my answer for this question is right I think the answer is A but I want to e sure I did it right ༼ つ ◕_◕ ༽つ
Answer:
The correct choice is option C. 4xy√3y
Step-by-step explanation:
√12x^2y^3 + 2xy√3y
√12x^2y^3 = 2√3 xy√y
2xy√3y = 2√3 xy√y
2√3 xy√y + 2√3 xy√y
= 4√3 xy√y
= 4xy√3y
an equation of a number and 25 equals to the sum of 141 and 159 divided by 2
Answer:
25 = 141 + 159/2
Step-by-step explanation:
The square of the product of 4 and a number.
Answer:
4 x n= y²
You have to find the product of a number and 4
Answer:
√4×n
Step-by-step explanation:
4*n squared so n stands for number
9x+5y=34
8x-2y=-2
What are the values of x and y? Please explain the steps.
Answer:
x = 1 and y =5
Step-by-step explanation:
[tex]8x -2y= -2\\Divide by -2\\-4x+y = 1\\add 4x\\y= 1+4x\\[/tex]
Substitute this value of y in the next equation.
[tex]9x+5(1+4x) = 34\\9x+5+20x=34\\29x+5=34\\29x=29\\x=1[/tex]
Solve for y using x.
[tex]y=4x+1\\y=4(1)+1\\y=5[/tex]
The chance of solving a problem by A and B is and 1/3 and 2/5 respectively. What is the probability the problem will be solved?
a)2/15
b)1
c)9/15
d)11/15
Books shows "c" as the answer.. I am confused..
We want to compute the probability P(A or B) because we could either solve it following path A, path B, or doing both paths.
P(A) = 1/3
P(B) = 2/5
P(A and B) = P(A)*P(B) assuming A,B are independent
P(A and B) = (1/3)*(2/5)
P(A and B) = 2/15
--------
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 1/3 + 2/5 - 2/15
P(A or B) = 5/15 + 6/15 - 2/15
P(A or B) = (5 + 6 - 2)/15
P(A or B) = 9/15
We could reduce this to 3/5, but it appears your teacher has chosen not to.
A rectangle has a perimeter of 53 feet and a base of 7.1 feet. What is the height?
Answer:
19.4
Step-by-step explanation:
Perimeter = 53 feet
P = 2L + 2H
L = 7.1 feet
2L + 2W = 53 feet
2*7.1 + 2w = 53
14.2 + 2w = 53
2W = 53 - 14.2
2W = 38.8
W = 38.8/2
W = 19.4
H = 19.4
What is the equation and the answer?
Answer:
30
Step-by-step explanation:
So we begin by assigning variables to each side with:
DE = x
EF = y
DF = z
Now we start listing a system of equations from what is given:
x+y+z=81
x=2y
x-4=z
Once we solve that with substitution, we get the result of:
x=34
y=17
z=30.
Since z is the length of DF, the length of DF is 30.
I hope this helped! :D
Will Mark Brainlest Help Please ,,,,
Step-by-step explanation:
from the second:
A=[3 -1]. -2B
[-5 0]
input this into 1
2([3 -1]) -(2B) -B =[1 3]
([-5 0]). [0 5]
[6 -2] -4B-B=[1 3]
[-10 0]. [0 5]
-5B=[1 3] -[3 -1]
[0 5]. [-5 0]
-5B= [1-3 3+1]
[0+5 5+0]
B= [-2/5 4/5]
[1 1]
A=[(19/5) (3/5)]
[-3. 2]
using the formula I derived
that's how I got A
Which value of x satisfies the equation
Answer:
9
Step-by-step explanation:
5/3 (x + 1/2) = 95/6
5/3 × 1/2 = 5/6
5/3x + 5/6 = 96/6
-5/6 -5/6
---------------------------
5/3x = 90/6
5/3x = 15
------ ----
5/3 5/3
x = 9
3. Find the volume of the pyramid.
Answer:
[tex]916.11\:ft^{3}[/tex]
Step-by-step explanation:
Volume of the hexagonal pyramid = [tex]1/3\times (area\: of \: hexagonal\:base)\times height[/tex]
Here sides of hexagonal base = 9 ft
So, Area of hexagon = [tex]6\times \frac{\sqrt{3} }{4} a^{2}[/tex]
[tex]6\times \frac{\sqrt{3} }{4} \times 9 \times 9[/tex]
[tex]= 210.5[/tex]
Height is given, 13 ft
So, volume = [tex]1/3\times 210.5\times 13[/tex]
[tex]= 916.11\: ft^{3}[/tex]
OAmalOHopeO