Answers
Answer: x=45
Step-by-step explanation:
To solve for x, we first need to understand the figure. We know TV and RS are parallel lines. If we extend TV to the left, we get a straight line parallel to RS. By Alternate Interior Angles, We know ∠R is equivalent to ∠T on the very left. Therefore, we can set it equal to 180° and solve.
x+2x+x=180 [combine like terms]
4x=180 [divide both sides by 4]
x=45
Now, we know x=45.
Related Questions
A certain t-shirt costs $10 less than half the cost of a pair of pants. If the t-shirt costs $15, how much is the cost of the pair of pants?
Answers
15 divided by two is 7.5 and ten plus 7.5 is 17.5…. It says less than half the cost so I would round down to get $17 for the pain of pants
The cost of the pair of pants is $17.5 or $17 if the certain t-shirt costs $10 less than half the cost of a pair of pants.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
A certain t-shirt costs $10 less than half the cost of a pair of pants. If the t-shirt costs $15.
Let x be the cost of the pair of pants.
The value of x can be found as follows:
x = 15/2 + 10
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.
x = $17.5
Thus, the cost of the pair of pants is $17.5 or $17 if the certain t-shirt costs $10 less than half the cost of a pair of pants.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
find the missing side.
Answers
Answer:
I htink x ≈ 8
Step-by-step explanation:
Answer:
X is approximately 7.8.
Step-by-step explanation:
You can use SOH-CAH-TOA to help figure out what function (sin, cos, tan) you need to use in order to figure out the missing side.
For this one, we can see the angle is pointing to the opposite side (x length), and we have been given the hypotenuse (18). So we want to use the sin function.
[tex]sin\ (angle)=\frac{opposite}{hypotenouse}[/tex]
[tex]sin (26)=\frac{x}{18}[/tex]
[tex]0.438=\frac{x}{18}[/tex]
[tex]7.890... = x[/tex]
Using Pythagorean theorm, you can figure out the other side if need be :)
For reference:
[tex]sin (angle)=\frac{opposite}{hypotenuse}[/tex]
[tex]cos(angle)=\frac{adjacent}{hypotenuse}[/tex]
[tex]tan(angle)=\frac{opposite}{adjacent}[/tex]
The cost of a pen is three times and Rs 4 more than the cost of a pencil. If three pencils and two pens cost Rs 71, find the cost of each item.
Answers
Answer:
1.
= Here,
cost of pen = 3+4 ( x ) = 7x
costs of two pen = 7x
cost of three pencils = 71 - 7x = 64x
cost of 1 pencil = 64/3
= 21.333334
c
Classify the triangle as acute, right, or obtuse and as equilateral, isosceles, or scalene.
Answers
9514 1404 393
Answer:
(d) Right, scalene
Step-by-step explanation:
The little square in the upper left corner tells you that is a right angle. Any triangle with a right angle is a right triangle. This one is scalene, because the sides are all different lengths.
__
Additional comment
An obtuse triangle cannot be equilateral, and vice versa.
An equilateral triangle has all sides the same length, and all angles the same measure: 60°. It is an acute triangle.
the sum of the fractions 2/y-3 and 6/y+3 is equal to their
Answers
Step-by-step explanation:
Move expression to the left side and change its sign
5
y
−
3
+
10
y
2
−
y
−
6
−
y
y
+
2
=
0
Write
−
y
as a sum or difference
5
y
−
3
+
10
y
2
+
2
y
−
3
y
−
6
−
y
y
+
2
=
0
Factor out
y
and
−
3
from the expression
5
y
−
3
+
10
y
(
y
+
2
)
−
3
(
y
+
2
)
−
y
y
+
2
=
0
Factor out
y
+
2
from the expression
5
y
−
3
+
10
(
y
+
2
)
(
y
−
3
)
−
y
y
+
2
=
0
Write all numerators above the least common denominator
5
(
y
+
2
)
+
10
−
y
(
y
−
3
)
(
y
+
2
)
(
y
−
3
)
=
0
Distribute
5
and
−
y
through the parenthesis
5
y
+
10
+
10
−
y
2
+
3
y
(
y
+
2
)
(
y
−
3
)
=
0
Collect the like terms
8
y
+
20
−
y
2
(
y
+
2
)
(
y
−
3
)
=
0
Use the commutative property to reorder the terms
−
y
2
+
8
y
+
20
(
y
+
2
)
(
y
−
3
)
=
0
Write
8
y
as a sum or difference
−
y
2
+
10
y
−
2
y
+
20
(
y
+
2
)
(
y
−
3
)
=
0
Factor out
−
y
and
−
2
from the expression
−
y
(
y
−
10
)
−
2
(
y
−
10
)
(
y
+
2
)
(
y
−
3
)
=
0
Factor out
−
(
y
−
10
)
from the expression
−
(
y
−
10
)
(
y
+
2
)
(
y
+
2
)
(
y
−
3
)
=
0
Reduce the fraction with
y
+
2
−
y
−
10
y
−
3
=
0
Determine the sign of the fraction
−
y
−
10
y
−
3
=
0
Simplify
10
−
y
y
−
3
=
0
When the quotient of expressions equals
0
, the numerator has to be
0
10
−
y
=
0
Move the constant,
10
, to the right side and change its sign
−
y
=
−
10
Change the signs on both sides of the equation
y
=
10
Check if the solution is in the defined range
y
=
10
,
y
≠
3
,
y
≠
−
2
∴
y
=
10
Answer:
I think "Product" is the answer. Not really sure.
Use the Diagram to find BC.
Answers
Answer:
Step-by-step explanation: you have to ask your parents for help
Find the area of the shaded region. Use 3.14 for at as necessary. PLEASE HELP ASAP!!
A. 53.5cm^2
B. 132 cm^2
C. 26.8 cm^2
D. 17.1 cm^2
Answers
9514 1404 393
Answer:
A. 53.5cm^2
Step-by-step explanation:
The area of the circle is ...
A = πr²
A = 3.14(5 cm)² = 78.5 cm²
The area of the triangle is ...
A = 1/2bh
A = 1/2(10 cm)(5 cm) = 25 cm²
The shaded area is the difference between the circle area and the triangle area:
shaded = 78.5 cm² -25 cm² = 53.5 cm²
_____
Additional comment
As with many multiple-choice questions, you can simply pick the answer that is not outlandish. The circle will fit into a square that is 10 cm on a side, so its total area is less than 100 cm² (eliminates choice B).
The shaded area is definitely more than 1/4 of that 100 cm² square, so choices C and D are eliminated, too. The only choice that is not unreasonable is choice A.
Answer:
A.) 53.5 cm2
Step-by-step explanation:
I got it correct on founders edtell
At the city museum, child admission is and adult admission is . On Wednesday, three times as many adult tickets as child tickets were sold, for a total sales of . How many child tickets were sold that day
Answers
Complete question :
At the city museum, child admission is $6.30 and adult admission is $9.80. On Wednesday, three times as many adult tickets as child tickets were sold, for a total sales of $ 1178.10 . How many child tickets were sold that day?
Answer:
33 children ticket
Step-by-step explanation:
Let :
Number of Child admission = x
Number of Adult admission = y
On Wednesday ;
y = 3x
9.80y + 6.30x = 1178.10
9.80(3x) + 6.30x = 1178.10
29.40x + 6.30x = 1178.10
35.70x = 1178.10
x = 1178.10 / 35.70
x = 33
How many liters of a 10% alcohol solution must be mixed with 40 liters of a 50% alcohol
solution to obtain a 40% alcohol solution?
Answers
Answer:
13 [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]20+.1x=.4\left(40+x\right)[/tex]
x=40/3 = 13 [tex]\frac{1}{3}[/tex]
Friends please give ,e the answer i have exam at 12.00 with workings .
Answers
Answer:
impossible
Step-by-step explanation:
The sum of the internal angles of the regular polygon and the theorem n-sided polygon is equal to: (n-2)×180° (n is greater than or equal to 3 and n is an integer)
when n=3，The internal angle sum is 180°
What is the media and explain why.
Answers
Answer:
26
Step-by-step explanation:
Set N: 6, 7 , 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22
The median of set N is 14
Since the median of Set N is the lowest number of set L, it would look like this
Set: L: 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38
The median of Set L is 26
Select the correct answer from the drop-down menu.
Z1 = 4cis (pi/2) and Z2=3cis(3pi/2)
The product of Z1 and Z2 is
Answers
Answer:
z₁ × z₂ = 12·cis(2·π)
Step-by-step explanation:
z₁ = 4·cis(π/2), z₂ = 3·cis(3·π/2)
We have;
z₁ = 4·cis(π/2) = 4·(cos(π/2) + i·sin(π/2))
z₂ = 3·cis(3·π/2) = 3·(cos(3·π/2) + i·sin(3·π/2))
According to De Moivre's Theorem,
z₁ × z₂ = 4×3×(cos(π/2 + 3·π/2) + i·sin(π/2 + 3·π/2)) = 12·(cos(2·π) + i·sin(2·π))
∴ z₁ × z₂ = 12·cis(2·π)
√6 (√24-√6in class problem
Answers
Answer:
6
Step-by-step explanation:
√6 (√24-√6)
Distribute
sqrt(6) sqrt(24) - sqrt(6)sqrt(6)
sqrt(144) - sqrt(36)
12 - 6
6
I honestly have no clue how to do trig, I need help.
Answers
Answer: x= 437.3 ft.
Step-by-step explanation:
Let the angle side at 29 be n
so
n+29 = 90
so, n = 61
now
sin 61= p/h
sin 61 = x/500
so, x = sin 61*500
so, x = 437.3
Solve the system of equations below by graphing both equations with a pencil
and paper. What is the solution?
y = x+1
y=-3x+4
Answers
Answer:
Option (C)
Step-by-step explanation:
System of the equations have been given as,
[tex]y=x+1[/tex] --------(1)
[tex]y=-\frac{1}{2}x+4[/tex] -------(2)
Substitute the value of y from equation (1) to equation (2),
[tex]x+1=-\frac{1}{2}x+4[/tex]
[tex]x+1=-\frac{1}{2}x+4[/tex]
[tex]x+\frac{1}{2}x=4-1[/tex]
[tex]\frac{3}{2}x=3[/tex]
[tex]x=2[/tex]
Substitute the value of 'x' in equation (1),
[tex]y=2+1[/tex]
[tex]y=3[/tex]
By using a graphing utility, graph of the equations that will intersect each other at a point (2, 3).
Therefore, solution of the system of equations will be [tex](2,3)[/tex].
Option (C) will be the answer.
Answer:
(2,3) C
Step-by-step explanation:
Solve using y = mx + b and graph!
The roots of the quadratic function describing the relationship between number of products produced and overall profit margin are x=0 and 100. The vertex is (50,1000). The maximum profit of $ dollars is reached when items are produced. The first root tells us that the profit will be 0 when 0 products are produced. The second root says once 100 items are made, the company is no longer making any profit. (They do not have production capacity and have to outsource for anything over 50.)
Answers
Answer:
I assume that we want to complete the statement:
"The maximum profit of $__ dollars is reached when __ items are produced"
We know that the profit equation is defined between x = 0 and x = 100, which are the two roots of the equation (so the profit is equal to zero for x = 0 and for x = 100).
Then we can assume that the profit will be positive in this range.
Thus, the quadratic equation should have a negative leading coefficient, which would mean that the arms of the graph go downwards.
If this is the case, we know that the maximum will be at the vertex.
Here we know that the vertex is:
(50, 1000)
Where remember, x represents the number of items and y represents the profit.
So, given that the maximum is at the vertex, and we know that the vertex is (50, 1000) we can conclude that the maximum profit is $1000, and this happens when the number of produced items is 50.
Then the complete statement is:
"The maximum profit of $1000 dollars is reached when 50 items are produced"
A 9-pack of golf balls costs $8.74. What is the unit price, rounded to the nearest cent?
per golf ball
Answers
Answer:
0.97 per ball
Step-by-step explanation:
Take the total cost and divide by the number of items
8.74 /9
0.97111
Rounding to the nearest cent
0.97
Please help me solve this short problem today is my last day to complete these
Answers
Answer:
shift of 1 unit to the right
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
Given the parent function is y = x² , then
y = (x - 1)² is a shift to the left of 1 unit of the parent function
I neeeeddddd helppppp !!!!! It’s urgenttttttt
Answers
х=10
I'm so sorry, i don't know how it's called (because English isn't my native language) but there are angles that have the same value
maybe u'll tell me..
A, B and C are points on a circle.
EF is a tangent to the circle at C.
D is a point on AC.
Angle CBD:Angle ABD = 3:1.
Find angle ADB.
Give a geometrical reason for each step of your working.
Answers
Answer:
44/3 degrees
Step-by-step explanation:
Angle CBD = 180 - (64 + 72) = 44
Angle ADB = 44/3 (Since of the ratio)
Help help help help help
Answers
Answer: 0 and 4
Step-by-step explanation:
By how much is 9966004321 larger than 1 billion
Answers
9966004321 is larger than 1 billion by 9,866,004,321.
What is comparison of two numbers?Comparison of numbers defines the similar properties between two numbers, and the number is larger than, smaller than or equal to another number.
What is "how much larger" in math?In Math " how much larger " indicates that we have to find the difference. So, we subtract the smaller value from the larger value.
According to the given question
We have number 9966004321
1 billion = 1,000,000,000
So, for finding how much 9966004321 is larger than 1 billion we will subtract 1 billion from 9966004321.
Therefore,
9966004321 - 1,000,000,000 = 9,866,004,321
Hence, 9966004321 is larger than 1 billion by 9,866,004,321.
Learn more about comparison of two numbers here:
https://brainly.com/question/17329628
#SPJ2
pls help geometry! Surface area
Answers
Answer: SA = 368
Step-by-step explanation:
Answer:
The surface area of the figure is 368[tex]in^{2}[/tex]
Step-by-step explanation:
To find the surface area of a rectangular prism you must know the formula.
A=2(wl+hl+hw)
Hope this helps!
I need help plz someone help me
Answers
Answer:
N'=(0, 0)
K'=(4,4)
I'=(4, 0)
The measure of an angle is 32.6º. What is the measure of its supplementary angle?
Answers
Answer:
147.4°
Step-by-step explanation:
Supplementary angles sum to 180° , then
supplementary angle = 180° - 32.6° = 147.4°
Solve the system using multiplication for the linear combination method.
6x – 3y = 3
-2x + 6y = 14
What is the solution to the system?
Answers
-2x+6y=14.
First step is multiply the top equation by 2, so you have
12x-6y=6
-2x+6y=14
-6y and +6y cancel each other out, so if you simplify, you have
10x=20, which is then solved by dividing each side by 10, and getting x=2.
Now plug x=2 into one of the equations (I chose the first)
6(2)-3y=3
12-3y=3
-3y=-9, divide each side by -3 and get y=3.
so your point is (2,3)
Answer:
(2, 3)
Step-by-step explanation:
Write the equation of the function
Answers
hello! HELP NEEEDED!!!!!!!!!!!
Answers
Answer:
$2.50
Step-by-step explanation:
Sally pays 2.5 lbs of chuck for 6.25. We need to convert this to 1 pound, to see how much money it take to equal 1 pound .
Set up proportion.
[tex] \frac{1}{x} = \frac{2.5}{6.25} [/tex]
[tex]2.5 x = 6.25[/tex]
[tex]x = 2.5[/tex]
it takes 2 dollar and 50 cents for 1 lb of ground chuck
Answer:
$2.50
Step-by-step explanation:
In my theory, I suppose that the key word to look at is "per"in the question above. All you need to do is to is to divide $6.25 with 2 1/2 lb
Express as -80/112 as a rational: numerator = -5
Answers
Answer:
-80\112 = -5\7
we divided both numbers by 16
What is the probability that an event is certain to occur?
Answers
Answer: 1
Explanation: An event whose occurrence is 100% sure, those events are called certain events.
The probability of such an event is always 1.
Example: The probability of getting a number between 1 to 6 when rolling a die is a certain event.
