Answers
===============================
Work Shown:
2x+108 = 180
2x+108-108 = 180-108
2x = 72
2x/2 = 72/2
x = 36
-------
Notes:
The reason 2x and 108 add to 180 is because they form a straight angleIn step 2 above, I subtracted 108 from both sidesIn the second to last step above, I divided both sides by 2.The general steps to solving any equation is to follow PEMDAS in reverse to isolate the variable.Given : There is a line . It is divided into two parts by another line such that it forms two angles on two sides of the angle which are 2x° and 108° .
To Find : The value of x .
Solution : Given that the two angles are 2x and 108° . So , we know that the measure of a straight line is 180° . So the sum of the two angles will be also equal to 180°. That is ;
[tex]\large\boxed{\red{\bf \angle 1 + \angle 2= 180^{\circ}}}[/tex]
Where [tex]\angle[/tex]1 and [tex]\angle[/tex]2 are two angles .⇒ 2x° + 108° = 180° .
⇒ 2x° = 180° - 108° .
⇒2x° = 72°.
⇒ x =[tex]\sf \dfrac{72}{2}[/tex]
⇒ x = 36° .
Hence the value of x is 36° .
Related Questions
Given f(x) = -6(4 - x), what is the value of f(-0.6)?
A)-30
B) -27.6
C) -60
D) -24.6
Answers
Step-by-step explanation:
f(x) = -6(4-x) which f(-0.6)
therefore:
we multiple -6×4= -24 and -×- =+ this implies +6×x = 6x
we add:
-24 + 6x which we already know x is = -0.6
-24 + 6 (-0.6)
-24 + 3.6
= the big number always carry the sign
the answer is = -27.6
Here are some letters and what they represent. All costs are in dollars. M represents the cost of a main dish n represents the number of side dishes s represents the cost of a side dish t represents the total cost of a meal What does ns = 6 mean in this situation?
Answers
Answer:
[tex]ns=6[/tex] means total cost of side dishes is equal to 6.
Step-by-step explanation:
M represents the cost of a main dish.
n represents the number of side dishes.
s represents the cost of a side dish.
t represents the total cost of a meal
Total cost of side dishes = Cost of a side dish × Number of side dishes = ns
Therefore,
[tex]ns=6[/tex] means total cost of side dishes is equal to 6.
A triangle has exactly three sides. Prove the conditional by proving the contrapositive. If a polygon has more than three sides, then it is not a triangle. Contrapositive: If _____, then _____. Since ______, the contrapositive is _____, the original statement must be _____.
Answers
Answer:
If a polygon is a triangle, then it has exactly three sides
Since as have been presented above, the contraposition is true, the original statement must be true
Step-by-step explanation:
The contrapositive statement; If a polygon has more than three sides, then it is not a triangle
We have that the definition of a triangle = A polygon with exactly three sides
Therefore;
A polygon with more than three sides is not a triangle and has (n - 1)/2×180 degrees interior angle, where n = The number of sides
Therefore, when n > 3, (n - 2)/2×180 > 180°
The sum of interior angles of a triangle = 180°
Therefore, the contrapositive statement, if a polygon has more than three sides, then it is not a triangle is true
Therefore, we have;
If a polygon is a triangle, then it has exactly three sides
Since as have been presented above, the contraposition is true, the original statement must be true
Help asap
1) To which set of numbers does the number belong? Choose all the sets to which it belongs. -5.2
a)Natural
b)Whole
C)integer
d)rational
e)irrational
f)real
2)To which set of numbers does the number belong? Choose all the sets to which it belongs. -4
a)Natural
b)Whole
C)integer
d)rational
e)irrational
f)real
3) To which set of numbers does the number belong? Choose all the sets to which it belongs. -4.3212........
a)Natural
b)Whole
C)integer
d)rational
e)irrational
f)real
4) To which set of numbers does the number belong? Choose all the sets to which it belongs. square root of 4
a)Natural
b)Whole
C)integer
d)rational
e)irrational
f)real
5) To which set of numbers does the number belong? Choose all the sets to which it belongs. square root of 7
a)Natural
b)Whole
C)integer
d)rational
e)irational
f)real
Answers
Answer: (1) d, f (2) c, d, f (3) e, f (4) a, b, c, d, f (5) e, f
Step-by-step explanation:
a) Natural Numbers: 1, 2, 3, ...
b) Whole Numbers: 0, 1, 2, 3, ... (add zero to the Natural numbers)
c) Integers: ..., -3, -2, -1, 0, 1, 2, 3, ... (add negatives to the Whole numbers)
d) Rationals: Add terminating and repeating decimals to Integers.
************
e) Irrationals: Non-repeating decimals that are non-terminating. This is its own category so cannot be a Rational number or above.
f) Real Numbers: ALL of the above (a - e) are Real numbers.
1) -5.2 has a terminating decimal so it is a RATIONAL number.
2) -4 is below zero so is an INTEGER which means it is also a RATIONAL #
3) -4.3212... is a non-terminating decimal so it is an IRRATIONAL number
4) [tex]\sqrt4[/tex] = 2 is a NATURAL number which means it is also a WHOLE number, INTEGER, and RATIONAL number.
5) [tex]\sqrt7[/tex] is a non-terminating decimal so it is an IRRATIONAL number
What is 1 and 3 5ths divided by 2 and one half
Answers
1 3/5 converts to 8/5
2 1/2 converts to 5/2
8 x 2 = 16
5 x 5 = 25
final answer: 16/25
hope this helps
how much is 3375.9 missing to reach 6567.66 , in scientific notation
Answers
Answer: 3.19176 * 10^3
Step-by-step explanation:
Step 1: Subtract 3,375.9 from 6,567.66 = 3191.76
Step 2: Convert 3191.76 to scientific notation
Note: The purpose of scientific notation is to make big numbers into small numbers by moving the decimal point and then showing how many decimal places you moved by using powers of ten.
Step 3: Move the decimal 3 places to the left, and multiply by 10^3.
3.19176 * 10^3
Solve for y 2x-5y=10
Answers
Answer:
y = 2/5x - 2
Step-by-step explanation:
Step 1: Write equation
2x - 5y = 10
Step 2: Solve for y
Subtract 2x on both sides: -5y = 10 - 2xDivide both sides by -5: y = -2 + 2/5xRewrite: y = 2/5x - 2explanation:
write the equation out—
-5y=10-2x
subtract 2x from both sides —
-5y=10-2x
divide both sides by -5 —
y=-2+2/5x
rewrite your equation —
y= 2/5x-2
Simplify 28/72 please real quick I need help
Answers
Answer:
7/18
Step-by-step explanation:
[tex]\frac{28}{72} /\frac{4}{4} =\frac{7}{18}[/tex]
7 is prime, so this can not be simplified further (since 18 is also not divisible by 7).
Given the function f(x)=3x-1, what is f(3) ? Group of answer choices:
32
9
8
5
Answers
Answer:
8
Step-by-step explanation:
just substitute it in the equation and you will find the answer
Answer:
8
Step-by-step explanation:
Step 1:
f ( x ) = 3x - 1 Function
Step 2:
f ( x ) = 3 ( 3 ) - 1 Input x
Step 3:
f ( x ) = 9 - 1 Multiply
Answer:
f ( x ) = 8
Hope This Helps :)
44 Points Please help me on this
Answers
Answer:
Yes.
Step-by-step explanation:
This is because on a protractor a 180 degree angle is just a line.
how to make something a subject
Answers
Answer:
I dont understand the question?
Step-by-step explanation: your trying to pick a subject??
Jackie and Luke are working on a project for social studies.
They create a slide show with 250 slides. if they worked on it for 8 hours,
How many slide did they created per hour?
Answers
Answer:
31.25 slides per hour.
Step-by-step explanation:
250 slides ÷ 8 hours = 31.25 slides per hour
You're welcome!
Answer:
You are trying to find how many slides they did per hour so the answer to that would be 31.25
Step-by-step explanation:
250 ÷ 8 = 31.25
On a map to cities are about 50 mm apart if the scale is 1 cm equals 15.5 miles how far apart are the two cities
Answers
Given:
On a map to cities are about 50 mm apart.
Scale is 1 cm equals 15.5 miles.
To find:
The distance between two cities.
Step-by-step explanation:
We have,
1 cm = 15.5 miles
It means
10 mm = 15.5 miles [1 cm = 10 mm]
Now,
10 mm on a map = 15.5 miles
1 mm on a map = [tex]\dfrac{15.5}{10}[/tex] miles
= 1.55 miles
50 mm on a map = 50 × 1.55 miles
= 77.5
Therefore, the two cities are 77.5 miles apart.
What is the value of K? k=___
Answers
Answer:
I'm pretty sure the answer is 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
In triangle LON, <O = 90°
According to Pythagoras' Theorem
(Hyp)² = (Base)² + (Perp)²
m² = 4² + 8²
m² = 16 + 64
m² = 80
Taking square roots on both sides
√m² = √80
m = 8.94
In triangle LMN, <N = 90°
According to Pythagoras' Theorem
(Hyp)² = (Base)² + (Perp)²
(8 + k)² = l² + 4²
i need help on the multi choice answer
Answers
There are 14 girls and 21 boys in Mrs. Andrews’s gym class. To play a certain game, the students must form teams. Each team must have the same number of boys and girls. What is the greatest number of teams Mrs. Andrews can make if every student is on a team?
Answers
Answer:
7 teams of five with 2 girls and 3 boys
Solve the equation f(x)= g(x) algebraically.
f (x)= In e2x+2
g(x)= 3x - 3
Answers
after taking a test, mias grade dropped from 85% to 81%
Answers
Answer:
I would say Jessica
Step-by-step explanation:
Because Mia's grade dropped by 4% and Jessica's grade increased by 5%
1% difference in the grades
2 (t -3) ² - 72=0?
Math by extracting square roots
Answers
Answer:
2(t-3) ^2 = 72
(t - 3)^2 = 36
t - 3 = 6 or t - 3 =-6
t = 6+3 = 9. or t =-6 +3 = -3
t = 9 or -3
We have that
The Value of t is
t=9
From the question we are told
2 (t -3) ² - 72=0
In Answering the Question we must follow these few steps
Firstly we must make t the subject of the FormulaSecondly,We perform the necessary arithmeticFinally,The value of t will be gottenGenerally the derivation of t is mathematically given as
[tex](t-3)^2=\frac{72}{2}\\\\t-3=\sqrt{\frac{72}{2}}\\\\t-3=6\\\\t=9[/tex] [Firstly we must make t the subject of the Formula
Firstly we must make t the subject of the FormulaSecondly,We perform the necessary]
Therefore
The Value of t is
t=9 [Finally,The value of t will be gotten]
For more information on this visit
https://brainly.com/question/23366835
Choose the best description for the real number 4 point 6 repeating . (4 points)
Question 2 options:
1)
Irrational, because it is a terminating decimal
2)
Irrational, because it is a repeating decimal
3)
Rational, because it is a terminating decimal
4)
Rational, because it is a repeating decimal
Answers
Answer:
4
Step-by-step explanation:
Irrational number are real numbers that do not end and cannot be written as a fraction.
4.66666...
can also be written as 4 2/3 therefore it is rational because it can be written as a fraction.
It is not a terminating decimal because it doesn't end(repeating).
For the equation, complete the given ordered pairs.
x=−8
( ,6), ( ,-2), ( ,0)
Answers
Answer:
(-8, 6), (-8, -2), (-8, 0)
Step-by-step explanation:
The equation tells you that x = -8, regardless of the value of y. Every missing value is -8.
SOMEONE HELP ME PLZ ASAP!!!!
Answers
A=22cm
B=21cm
C=23cm
Good luck
what is the equation of a like that goes through the point 5,-2 and has a slope of. 6/5
Answers
Answer:
y= 6/5x -8
Step-by-step explanation:
The slope-intercept form (basically the form for the equation of a line)
y=mx+b
m is the slope
x is the value you want to plug in, or the x term in a point (x, y)
we know so far,
y=6/5x + b
so to find the missing value let's plug in the x & y value from (5, -2) and use the given slope
-2 = 6/5(5) + b
6 / 5 x 5/1 or 6/5 times 5 is 30/5 or 6
so
-2 = 6 + b
subtract 6 from each side to isolate the b value or y-intercept ( the point on the graph that is on the y-axis)
-8 = b
Evaluate the expression:
3(a + b - 3) - 2(2a + b - 4) when a = -1 and b = 1
Answers
Answer:
1
Step-by-step explanation:
which expression is equivalent to the given expression. -2x + 8x-9+4x+7x+2
Answers
Answer:
17x - 7
Step-by-step explanation:
-2x + 8x - 9 + 4x + 7x + 2
6x - 9 + 4x + 7x + 2
6x - 9 + 11x + 2
17x - 9 + 2
17x - 7
Answer:
5x^(2)+12x-7
Step-by-step explanation:
Plato/Edmentum
Consider the following Expression.
6x-9x-2=-2x-2
What is the value of x?
Answers
Answer:
The answer is X = 0
Another easy way to get the answer if you’re too lazy to do the work or don’t get it at all is so to go to an math app
Write and graph an inequality for the given solution set {n∣n≥−2}
Answers
Answer:
Explanation:
An inequality is used to represent unequal expressions or numbers. An inequality with the solution set [tex]n \ge -2[/tex] is: [tex]2n - 6 \ge -10[/tex]
Given that:
[tex]n \ge -2[/tex] --- the solution
To generate an inequality with the above solution, we do the following:
Subtract 3 from both sides of the inequality
[tex]n - 3 \ge -2 - 3[/tex]
[tex]n - 3 \ge -5[/tex]
Several operations can be carried out. The most important thing to note is that, whatever operation is done on the right-hand side of the inequality must be done on the left-hand side.
We can also multiply both sides by 2
[tex]2 \times (n - 3 )\ge -5 \times 2[/tex]
[tex]2n - 6 \ge -10[/tex]
Hence, an inequality with the solution set [tex]n \ge -2[/tex] is:
[tex]2n - 6 \ge -10[/tex]
See attachment for graph
Read more about inequality at:
https://brainly.com/question/24457639
What is the slope of the line that passes through the points (-1,-10) and (-1,-2)? Write your answer in simplest form.
Answers
Answer: undefined
Step-by-step explanation:
What’s the mathematical expression for “ three times x no less than 9”
Answers
Answer:
not simplified: 3x≤9
simplified: x≤3
If y varies directly as x and the constant variation is -2, which equation represents this relationship?
please answer by 11:59 10-5-2020
Answers
Answer:
y = -2xStep-by-step explanation:
If y varies directly with x, it is:
y = kxConstant is -2, it means k= -2
y = - 2x