One angle be x
other is 2x-6ATQ
[tex]\\ \sf\longmapsto x+2x-6=90[/tex]
[tex]\\ \sf\longmapsto 3x-6=90[/tex]
[tex]\\ \sf\longmapsto 3x=96[/tex]
[tex]\\ \sf\longmapsto x=32[/tex]
[tex]\\ \sf\longmapsto 2x-6=2(32)-6=58°[/tex]
Answer:
58°
Step-by-step explanation:
The measure if one 2 complementary angle is 6 less than the measure of the other => x + 2x - 6° = 90°
x + 2x - 6° = 90°
3x = 90° + 6°
3x = 96°
x = 96° : 3
x = 32°
Substitution :
2x - 6°
= 2 × 32° - 6°
= 64° - 6°
= 58°
X/2 -5=20 please give details
Answer: x=50
how?
[tex]\frac{x}{2}[/tex] - 5= 20 (first ADD 5 with 20 whatever you do on one side you have to do it to the other) so that gives us:
[tex]\frac{x}{2}[/tex]=25 (we see that 2 is being divided by x and we want X alone so the inverse of division is MULTIPLICATION)
25 x 2= 50
therefor the x=50
prove that 5^(2n - 1) is divisible by 8
Your teacher must have made a typo somewhere. The expression 5^(2n-1) is not divisible by 8.
The expression 5^(2n-1) is composed of 2n-1 copies of "5" multiplied together. The key here is that 5 is the only unique prime factor of this number.
On the other hand, 8 = 2*2*2 = 2^3 showing that 2 is the only prime factor for this number. At this point, we can see that there's no way that 5^(2n-1) is divisible by 8. It all comes down to the clash of the primes 5 and 2 not matching up, and having nothing in common.
Let's consider a few concrete examples:
If n = 1, then 5^(2n-1) = 5^(2*1-1) = 5^1 = 5 which is not divisible by 8. The number 5/8 = 0.625 isn't an integer.If n = 2, then 5^(2n-1) = 5^(2*2-1) = 5^3 = 125 which is also not a multiple of 8. The number 125/8 = 15.625 isn't an integer.I'll let you try other natural numbers for n, and you'll find that [tex]\frac{5^{2n-1}}{8}[/tex] isn't an integer.
In the equation 3x - 5 = 22,
where "x is the cost of a sandwich"
Diana said that "the sandwich cost $9."
Victor's answer is $5.
Who is right? Support your claim with math evidence or reasoning.
Answer:
Diana said that "the sandwich cost $9
Step-by-step explanation:
3x - 5 = 22
3x = 22 + 5
3x = 27
x = 27 / 3
x = 9
Find the length of segment AB if A (4, 1) and B(1,3). Round to the nearest hundredth, if needed.
AB = _ units
Answer:
[tex] \sqrt{13} [/tex]
Step-by-step explanation:
A(4;1) B(1;3)
●use distance formula (see photo^)
A group of friends wants to go to the amusement park. They have no more than $150
to spend on parking and admission. Parking is $13.50, and tickets cost $22.75 per
person, including tax. Write and solve an inequality which can be uused to determine
X, the number of people who can go to the amusement park.
FEE
Inequality:
Answer:
22.75x + 13.50 = 150
Step-by-step explanation:
A car is traveling at 40 mi/hour. What is the car's speed in feet per second?
Answer:
58.8 feet per second
Step-by-step explanation:
At 40 miles per hour, you are traveling 58.8 feet per second. To convert miles per hour to feet per second, multiply the miles per hour figure by 1.47. There are 5280 Feet in a mile and 3600 Seconds in an hour. If you divide 5280 Feet by 3600 Seconds (5280 FT /3600 SEC.), you get 1.47.
Hope that helps :)
Dilate XYZ at Center 0 and a scale factor of 12
0
2
Dilate FGHJ at center Rand
What is the value of W in a exterior angle theorem
Answer:
26
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle.
so:
30 + 2w - 8 = w + 48
22 + 2w = w + 48 export like terms to the same side of the equation
2w - w = 48 - 22 subtract
w = 26
It costs a company $20 per box to make pocket-sized stuffed animals. The company also has a fixed manufacturing cost of $2300. The owners are trying to calculate their cost for making boxes of animals.
Determine the average speed of the monorail, in miles per hour, over each segment of the route. Round each speed to the nearest tenth of a mile per hour
Answer:
show everything
Step-by-step explanation:
copy and paste all of all of the problem
5/b = 45/36
Solve for B please :))
Need answer asap, tyyy
If mVSR 8x + 18, find the value of x so that US I VS.
Answer:
x = 9
Step-by-step explanation:
must be 90deg in order to be perpendicular.
90 = 8x + 18
72 = 8x
9 = x
what are four different kinds of graphs and what makes them unique?
Answer:
The four most common are probably line graphs, bar graphs and histograms, pie charts, and Cartesian graphs
Answer:
A pie chart is to illustrate numerical proportion.
Line graphs are used to track changes over short and long periods of time.
Bar graph is a graph that presents categorical data.
Scatter plots' uses are to observe and show relationships between two numeric variables.
Step-by-step explanation:
:)
A test is worth a total of 150 points and contains 70 questions. Some of the questions are worth 2 points and some are worth 4 points.
The test has
questions worth 2 points and
questions worth 4 points.
Emma answered a certain number of questions correctly and scored 100 points. If she answered 46 questions worth 2 points correctly, the number of questions worth 4 points she answered correctly is
.
Answer:
[tex]46 \times 2 = 92 \: points \\ 100 - 92 = 8 \: points \\ 4 \times 2 = 8 \\ two \: of \: the \: 4 \: points \: questions \: \\ were \: answered \: correctly[/tex]
Help im stuck of this assignment
Answer:
48÷8, -36÷-12
Step-by-step explanation:
4 + 4x = -5(x - 8)
Solve Multi-Step equation.
Please explain how you i can understand too!
Answer:
If solving for x its
4 + 4x = -5(x - 8) (side math --> -5x +40)
-4. = -4
4x = -5x + 36
+5x = +5x
9x = 36
÷ ÷ (by 9)
x = 4
Step-by-step explanation:
Each equation solution, brings down another answer, making this equal x=4
Hey can someone please help me!!???
geometry!!
JL has endpoints J(8,10) and L(20,5). Point K has coordinates (13,9). What is the length of JL?
The length of line JL which has endpoints J(8,10) and L(20,5) is; JL = 13.
According to the question, we are required to determine the length of line JL.
However, the coordinates of the end points of line JL are given as;
Point J; (8,10)Point L; (20,5).The length of line JL is given by Pythagoras theorem as;
JL = √(20-8)² + (5-10)²JL = √ 12² + (-5)²JL = √ 144 + 25JL = √169JL = 13.
Therefore, the length of line JL which has endpoints J(8,10) and L(20,5) is; JL = 13.
Read more:
https://brainly.com/question/13502098
There are 16 boys and 18 girls in a grade 6 math class . write the ratio of girls to boys in words as simply as possible
Answer:
8:9 = eight to nine
Step-by-step explanation:
16:18 - divide each by 2 in order to simplify
= 8:9
Answer the question below
Answer:
box A.Step-by-step explanation:
im not really sureAnswer:
BOX A
Step-by-step explanation:
The more of something there is, the more heavier it is.
A number is multiplied by 3. Next, 6 is added to the product. Then, the sum is divided by 8. If the result is 6, what is the number?
Answer:
14
Step-by-step explanation:
14 x 3 = 42
42 + 6 = 48
48 ÷ 8 = 6
Therefore, the answer is 14.
Answer:
14
Step-by-step explanation:
let us call the number x for now
the number (x) is multiplied by 3 to give us
3x
then,
it is added to 6 to give
3x + 6
then, our sum is divided by 8:
(3x + 6) / 8
according to the question, the result is 6
therefore,
3x + 6 / 8 = 6
if we cross multiply,
3x + 6 = 8 ( 6 )
3x + 6 = 48
collecting like terms,
3x = 48 - 6
3x = 42
divide through by 3 to give
3x / 3 = 42 / 3
x = 14
therefore, x = 14
to reassure us of our answer,
since (3(x) + 6) / 8 = 6
and we know that x = 14,
therefore,
(3(14) + 6) / 8 = 6
(42 + 6) / 8 = 6
48 / 8 = 6
6 = 6
therefore, we are now sure that x = 14
hope this helps
thanks
Divide and express in the form of a complex number a + b i.
(-1 - 2i) / (- 4 + 3i)
Answer:
-2 / 25 + (11 / 25) i
Step-by-step explanation:
Hope this helps :)
Shannon says that the lines y=-3x-4, y = -x + 6, y = -4x - 5, and y=-x-5 could represent the sides of a rectangle. Explain Shannon's error.
The adjacent sides of rectangle form 90° to each other or are
perpendicular, while the opposite sides are parallel.
The error, is that the coefficient of x, in the four equations can only take on two values, such that if one of the values is m, the other will be [tex]-\dfrac{1}{m}[/tex]
Reasons:
In a rectangle, the adjacent sides are perpendicular to each other, while
the opposite sides are parallel.
The slope of parallel lines are equal, and the slope, of a line perpendicular to another line with slope, m, is [tex]-\dfrac{1}{m}[/tex], therefore the slopes of the parallel sides should be equal, which gives;
The equations should consist of two pairs of equations of lines with equal slopes, such as the pair, y = -x + 6, and y = -x - 5The slope of the other two lines should therefore be [tex]-\dfrac{1}{-1} = 1[/tex], which gives the equations of the other two lines as y = x - 4, and y = x - 5, respectively.Therefore;
The error, is that the coefficient of x, in the four equations can only take on two values, such that if one of the values is m, the other will be [tex]-\dfrac{1}{m}[/tex]Learn more here:
https://brainly.com/question/12686176
Student Council plans on selling fresh hamburgers at the homecoming game. They
bought 40 lbs of ground chuck to use to make burgers and each burger uses 0.25 lbs
of chuck to make. What is the most amount of burgers they can sell at the game
Answer:
Student Council can make at the most 160 fresh burgers.
Step-by-step explanation:
Take 0.25 and divide it by 40.
0.25 / 40 = 160
[tex]100\times 100\times20[/tex]
Answer:
100 × 100 × 20 = 200,000
Step-by-step explanation:
here pls brainliest
The difference between two positive numbers , 12/(x + 1) and 12/x , 1. () Form an equation in x and show that it reduces to x ^ 2 + x - 12 = 0 . (ii) Solve the equation x ^ 2 + x - 12 = 0 . () Hence , find the two numbers .
Answer:
Step-by-step explanation:
12
Michael walks a group of dogs 3 miles every day. The graph below shows the relationship between the number of dogs in the group and the distance he walks the dogs each day
Stephen was thinking of a number. Stephen divides by 5 then adds 1 to get an answer of 21. Form an equation with
x
from the information.
Answer:
x/5 +1 = 21
Step-by-step explanation:
x is your variable. first step is divided by 5, so you put x/5. then it says add 1 so simply add it on to the equation x/5 + 1. the entire equation equals to 21 so you put the equal sign after x/5 +1 =21
this is like my 4th time posting this can someone plz help me
Answer:
35 degrees
Step-by-step explanation:
All angles of a triangle add up to 180 degrees.
180-120-25 = ?
? = 35
Answer:
35
Step-by-step explanation:
Bonus: Give the nth term for the sequence below:
Answer: 256×4=1024
Next item is determined by recognizing how the previous items are
calculated.
1
1×4=4
4×4=16
16×4=64
64×4=256
256×4=?The next item is
256×4=1024