The value of x in the given figure is x = 7.
Given is a figure with two lines intersecting at a point and making two angle (x+16) and (4x-5).
We need to find the value of x.
To find the value of x, we can set the two angles equal to each other since they are formed by the intersecting lines and hence are vertically opposite angles.
Vertically opposite angles are always equal to each other. In other words, if you measure one of the vertically opposite angles, it will have the same measure as its opposite angle.
According to the given information, the angles are (x+16) and (4x-5). Therefore, we can set up the following equation:
x + 16 = 4x - 5
To solve for x, we'll isolate it on one side of the equation.
Let's solve the equation step by step:
x - 4x = -5 - 16 (subtract x from both sides and simplify)
-3x = -21 (combine like terms)
x = (-21) / (-3) (divide both sides by -3)
Simplifying further, we get:
x = 7
Therefore, the value of x is 7.
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Which term has the definition "If you multiply both sides of an equation by the same
nonzero number, both sides of the equation remain equal"?
Answer:
Step-by-step explanation:
The multiplication property of equality
A group of friends are going to see the newest action movie. The price of a ticket is $6.25. As a group, they spent $12 on refreshments. If they spent a total of $30.75 on tickets and refreshments, how many people went to the movies?
Which equation represents the scenario?
How many people went to the movies?
Answer:
3 people went to the movies. Equation: $6.25p+12=30.75
Step-by-step explanation:
To find your answer, subtract $12 immediately because it is one cost and not unknown. Then, divide the difference between $30.75 and $12 ($18.75) by $6.75. The quotient is the number of people went to see the movie. In the equation, solve for p.
Answer:
3 people went to the movies. Equation: $6.25p+12=30.75
Step-by-step explanation:
Can someone pls explain this to me and give the answer
Answer:
b
Step-by-step explanation:
because im amazing and right and its prob not right but you know i guess you can i dont knwo
A theater has 25 rows of chairs. The first row has 18 chairs, second has 22, the third has 26, and so on in total the theater seats ___ people
Answer:
1650
Step-by-step explanation:
You just need to add all of these numbers together 18 22 26 30 34 38 42 46 50 54 58 62 66 70 74 78 82 86 90 94 98 102 106 110 114.
You may ask how got these numbers. Well there is a pattern (x+4). X is the previous number.
what is the answer to #4
Answer:
A
Step-by-step explanation:
I am almost completely positive that question 4 is A
Answer:
A
Step-by-step explanation:
ive finished the assignment
what numbers add to get 48 but multiply to get -448
Answer:
8 and -56
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3x-1-8=41+x+5 solve for x!
Answer:
[tex]x=55/2=27.5[/tex]
Step-by-step explanation:
We have the equation:
[tex]3x-1-8=41+x+5[/tex]
First, let's simplify our equation. Subtract on the left:
[tex]3x-9=41+x+5[/tex]
And add on the right:
[tex]3x-9=46+x[/tex]
Now, add 9 to both sides:
[tex]3x=55+x[/tex]
Subtract x from both sides:
[tex]2x=55[/tex]
Divide both sides by 2. So, the value of x is:
[tex]x=55/2=27.5[/tex]
And we're done!
Answer:
x = 27.5
Step-by-step explanation:
3x - 1 - 8 = 41 + x + 5
~Combine like terms
3x - 9 = 46 + x
~Add 9 to both sides
3x = 55 + x
~Subtract x to both sides
2x = 55
~Divide 2 to both sides
x = 27.5
Best of Luck!
Evaluate the following function
Answer:
390
Step-by-step explanation:
plug in 7 for the x values and solve and you get 390.
Aaron can join a gym that charges $19.99 per month, plus an annual $12.80 fee, or he can pay $21.59 per month. He thinks the secound option is better because he plans to use the gym for 10 months. Is Aaron correct.
Answer:
the second gym is more expensive
Step-by-step explanation:
i got it right when i did the test/quiz
Aaron is incorrect. Because the cost of the second option is higher than the first one.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Aaron can join a gym that charges $19.99 per month, plus an annual $12.80 fee. Then the total cost for 10 months will be
⇒ $19.99 x 10 + $12.80
⇒ $212.7
If he can pay $21.59 per month. Then the total cost for 10 months will be
⇒ $21.59 x 10
⇒ $215.9
He thinks the second option is better because he plans to use the gym for 10 months. Aaron is incorrect. Because the cost of the second option is higher than the first one.
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Make r the subject.
Q=4πr^2+1/3πr^2h
Answer:
[tex] r = \sqrt{\frac{3Q}{\pi(12 + h)}} [/tex]
Step-by-step explanation:
[tex]Q = 4\pi {r}^{2} + \frac{1}{3} \pi {r}^{2} h \\ \\ Q = {r}^{2} \bigg(4\pi + \frac{1}{3} \pi h \bigg)\\ \\ Q = {r}^{2} \pi\bigg( \frac{12}{3} + \frac{1}{3} h \bigg)\\ \\ Q = {r}^{2} \pi\bigg( \frac{12 + h}{3} \bigg)\\ \\ {r}^{2} = \frac{Q}{\pi\bigg( \frac{12 + h}{3} \bigg)} \\ \\ {r}^{2} = \frac{3Q}{\pi(12 + h)} \\ \\ r = \sqrt{\frac{3Q}{\pi(12 + h)}} [/tex]
What is the value of the expression below when x
10 and y = 9?
9x + 9y
Answer:
171
Step-by-step explanation:
9x + 9y
9(10) + 9(9)
90 + 81
171
Best of Luck!
x = 10
y = 9
Given Equation:9x + 9y
Solution:by putting the values , we get
9(10) + 9(9) = 90 + 81 = 171
Answer:171
unit rate for $56/25 gal
Answer:
c=3 did you know that acording to the number letter the letter c is eqal to 3 and when said as c=3 looks like your special no no zone and c======3 looks like my special nono zone hahahahahahahahaahahahhahahahahahahhaahahahahhaahahaahahah
Step-by-step explanation:
_/(-o__-o)
POINTS
need answesrs to this, thank y ou
Answer:
(-4, -1)
Step-by-step explanation:
The midpoint formula is [ (x1+x2/2,y1+y2/2) ]
(-1+(-7)/2, 2+(-4)/2)
(-8/2, -2/2)
(-4, -1)
Best of Luck!
A Table showing Freezing Temperatures in degrees with 2 columns and 6 rows. The First row, F, has the entries, negative 13, negative 4, 5, 14, 23. The second column, C, has the entries, negative 25, negative 20, negative 15, negative 10, negative 5.
The table shows temperatures below freezing measured in different units. Complete the equation in standard form to represent the relationship between F, a temperature measured in degrees Fahrenheit, and C, a temperature measured in degrees Celsius.
5F + C =
39°F = °C rounded to the nearest tenth of a degree
Answer:
5F + (-9)C = 160
39F = 3.9C rounded to the nearest tenth of a degree
Step-by-step explanation:
Edgenuity
Answer:
Person above me is Correct
Step-by-step explanation:
Edge
What is the mean in 74,75,80,76,75,81,78?
Answer:
77
Step-by-step explanation:
Add the numbers together, then divide them to how much numbers are there.
74 + 75 + 80 + 76 + 75 + 81 + 78 = 539
Since there are 7 numbers, you divide 539 by 7.
539/7 = 77
Answer:
77
Step-by-step explanation:
cause you add the numbers up and then you divide how may numers there are
A bicyclist travels 200 m at 5.0 m/s and then travels for 25 s at 7.0 m/s.
Determine the average speed of the biker for the entire trip.
Answer: The average speed of the biker for the entire trip is 5.769 m/s.
Is the number 17.4×10−717.4×10−7 expressed in scientific notation? Why or why not?
Answer:
NoStep-by-step explanation:
Given number
17.4×10−7It is not in scientific notation because:
The proper format for scientific notation is a×10ᵇ where a is a number or decimal number such that the absolute value of a is greater than or equal to one and less than ten or, 1 ≤ |a| < 10As we see 17.4 > 10 which is against the rule above
Find the slope of a line that passes through (2, -7) and (-2,-4).
Answer:
-3/4
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -4 - -7)/(-2-2)
( -4+7)/(-4)
3/-4
-3/4
¼ of a box is filled with candies and the rest is cookies. 3/5 of the cookies are chocolate chip cookies and the rest are oatmeal raisin cookies. What fraction of the box is an oatmeal raisin cookie?
Answer:
3/10Step-by-step explanation:
If ¼ of a box is filled with candies and the rest is cookies, then the fraction of cookies in the box will be expressed as;
fraction of cookies in the box = 1 -¼
fraction of cookies in the box = [tex]\frac{4-1}{4}[/tex] [tex]= \frac{3}{4}[/tex]
If 3/5 of the cookies are chocolate chip cookies, then the amount of chocolate chip cookies in the box will be 3/5 of 3/4 i.e 9/20 chocolate chip cookies. If the rest are oatmeal raisin cookies, the amount of oatmeal raisin cookies will be 3/4 - 9/20
fraction of oatmeal raisin cookies = 3/4 - 9/20
= (15-9)/20
= 6/20
= 3/10
Hence 3/10 of the box is an oatmeal raisin cookies
*20 points* Explain two barriers to entry for a new business.
Answer:
Government regulation, Economies of scale
Step-by-step explanation:
Barriers to entry are obstacles that make it difficult to enter a given market. ...
Government Regulation.
Start-Up Costs.
Technology.
Economies of Scale.
Product Differentiation.
Access to Suppliers and Distribution Channels.
Competitive Response.
Answer:
Step-by-step explanation:
Barriers to entry are obstacles that make it difficult to enter a given market. ...
Government Regulation.
Start-Up Costs.
Technology.
Economies of Scale.
Product Differentiation.
Access to Suppliers and Distribution Channels.
Competitive Response.
2.2
Practice A
In Exercises 1 and 2, describe the pattern. Then write or draw the next two
numbers or letters.
1. 2, 5, 11, 23, 47, ...
2. A, Z, B, Y, C, ...
Can I get help with 1 and/or 2
Answer:
2, 5, 11, 23, 47, 95, 191
A, Z, B, Y, C, X, D, W, E, V
Step-by-step explanation:
1. 2, 5, 11, 23, 47, ...95, 191
5 - 2 = 3
12 - 5 = 6
23 - 11 = 12
47 - 23 = 24
Next
(24 × 2) + 47
= 48 + 47
= 95
Next
(48 × 2) + 95
96 + 95
= 191
Next
(96×2) + 191
192 + 191
= 383
The pattern follows (difference ×2) + previous number
That is,
(5 - 2) * 2 + 5
3*2 + 5
6 + 5
= 11
2, 5, 11, 23, 47, 95, 191
2. A, Z, B, Y, C, ...
First letter , 26th letter, 2nd letter, 25th letter, 3rd letter, 24th letter, 4th letter, 23rd letter, 5th letter, 22nd letter
A, Z, B, Y, C, X, D, W, E, V
The chase club at a school has 15 members the number of games won are listed what measures of center is most appropriate to use to describe a typical value for the date in this distribution 6,6,6,7,10,11,12,13,14,14,15,16,18,18,30
Answer:
What measure of center is most appropriate to use to describe a typical value for the data in this distribution? it said it in the question
Find the 10th term in the geometric sequence below.
2, -4, 8, -16, ...
A. -1,024
B. 512
C. 1,024
D. 2,048
Answer:
-1024
Step-by-step explanation:
multiply each number by 2
1
A 5-pack of ice cream bars costs $2.15. What is
the unit price? ( Make sure to put your answer in terms of dollars and cents)
Answer
I need help with this????
Answer:
A
Step-by-step explanation:
X is either larger than -1 or smaller than 3 which is demonstrated in the equation in option A
Please give the answer fast .
I will mark you as brainliest.
Answer:
1. d
2. a
3. c
4. b
Answer:
1. -6 (d)
2. -1 (a)
3. 15 (c)
4. 3 (b)
Step-by-step explanation:
PLEASE ANSWER WILL GIVE BRAINLIEST!!!!!! m and n are positive integers greater than 1. The product of GCD and LCM of the integers is 143. Find m + n.
Answer:
We see that it is always possible to write both M and N as the products of the same prime factors, albeit with different exponents. Some of the exponents will need to be zero.
Now, both GCD(M, N) and LCM(M, N) are products of the same prime factors where the exponents in G are the least of the corresponding two, whilst in L they are the largest:
GCD(M, N) = p min(a, α) q min(b, β)· ... · r min(c, γ),
LCM(M, N) = p max(a, α) q max(b, β)· ... · r max(c, γ).
Now, (2) thus insures that (1) holds. To continue the example:
GCD(12, 10) = 213050 = 2,
LCM(12, 10) = 223151 = 60.
Naturally, 12×10 = 2×60.
Step-by-step explanation:
The value of m + n if, m and n are positive integers greater than 1. The product of GCD and LCM of the integers is 143 is 24.
What is the product?In mathematics, a number that is obtained by multiplying two or more other numbers together is known as the product. For instance, the result of multiplying 2 and 5 together is 10, or the product.
Given:
m and n are positive integers greater than 1,
The product of GCD and LCM of the integers is 143,
The product of GCD and LCM of the integers is equal to the number's product, so,
m × n = 143
Factorize the number 143 as 11 × 13
As you can see that there are only two numbers whose product is 143, and they are greater than 1,
Thus, m = 11 and n = 13.
m + n = 11 + 13 = 24
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Which Triangle cannot be a Scalene Triangle? Give reason for your answer.
While an a scalene triangle only has two lines that are the same and one that is not the same so always look at it’s line’s
Emma is going to carry out a survey
Can somebody help me with these please
Answer:
No solutions: 5 - 4 + 7x + 1 = 7x + 1One solution: 5 - 4 + 7x + 1 = 2x + 1Infinitely many solutions: 5 - 4 + 7x + 1 = 7x + 2Step-by-step explanation:
left side: 5 - 4 + 7x + 1 = 1 + 7x + 1 = 7x + 2
No solution is when we have the same number of x-es and different sums of other numbers on both sides of equation. So we have to put 7 next to x and any numer except 2 at the second place.
So the right side could be 7x+1 or 7x+3 or 7x+125 and so on.
One solution is when we have different number of x-es on both sides of equation. The sums of other numbers could be any numbers.
So the right side could be ex.: 2x+1, x+2, 8x, 3x+(-18), and so on.
Infinitely many solutions is when we have the same number of x-es and the same sums of other numbers on both sides of equation. So we have to put 7 next to x and numer 2 at the second place.
So the right side has to be 7x + 2