Find the value of x. Then, find the measure of each labelled angle.
x=_
(7x+10)°=_
(15x+16)°=_
Answers
Answer:
x = 7deg
Step-by-step explanation:
7x + 10 + 15x + 16 = 180 (angles adjacent to each other in a //polygon are supplementary)
22x = 154
x = 7deg
This is a question on polygons and angles. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Related Questions
What is the solution to 8x-3(2x-4)= 3(x-6
)
Answers
Answer:
x = 30
Step-by-step explanation:
8x - 3(2x - 4) = 3(x - 6)
Distribute te -3 on the left, and the 3 on the right
8x - 3(2x - 4) = 3(x - 6)
8x - 6x + 12 = 3x - 18
Simplify
8x - 6x + 12 = 3x - 18
2x + 12 = 3x - 18
Inverse operations
2x + 12 = 3x - 18
-2x -2x
12 = x - 18
+18 +18
30 = x
The current of Cache Creek has speed 2 mph. It takes a small boat a total of 4 hours to travel 12 miles upstream and 12 miles back. Find the speed of the boat in still water. If your answer is not an integer, round it off to two decimal places.
Answers
Answer:
6.61 mph
Step-by-step explanation:
Speed of current; c = 2 mph
Total time to travel upstream and back; t = t1 + t2 = 4 hours
Let x represent speed of the boat in still water
Then the actual speed of the boat when going upstream is x - 2, and the actual speed when going downstream downstream is x + 2.
We know that; distance = speed x time, Thus;
For the upstream trip;
12 = (x - 2)t1
t1 = 12/(x - 2)
For the downstream trip;
12 = (x + 2)t2
t2 = 12/(x +2)
Adding both equations, we have;
t1 + t2 = (12/(x - 2)) + (12/(x +2))
4 = (12/(x - 2)) + (12/(x +2))
Multiply through by (x - 2)(x + 2)
4(x - 2)(x + 2) = 12(x + 2) + 12(x - 2)
4x²- 16 = 12x + 24 + 12x - 24
4x² - 16 = 24x
4x² - 24x - 16 = 0
Using quadratic formula, we have;
x ≈ 6.61 mph
Dr.man mixed 9.357 g of chemical A, 12.082 g of chemical B, and 7.502 g of chemical C, to make 5 doses of medicine.
Answers
Beth purchased 7 sandwiches and spent a total of $43.75. If each sandwich was the same price, what was the cost per sandwich?
Answers
Answer:
6.25 dont fake ur grade plz
Step-by-step explanation:
If books cost $5 each how much will 6 books cost in all?
Answers
Answer:
30 dollars
Step-by-step explanation:
multiply 5 by 6 and its 30
Let S be the universal set, where: S = { 1 , 2 , 3 , ... , 18 , 19 , 20 } Let sets A , B , and C be subsets of S , where: Set A = { 1 , 6 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 18 , 19 , 20 } Set B = { 1 , 3 , 4 , 6 , 8 , 9 , 10 , 11 , 12 , 15 , 20 } Set C = { 3 , 6 , 7 , 8 , 9 , 10 , 11 , 13 , 14 , 17 } Find the number of elements in the set ( A ∪ B ∪ C ) n ( A ∪ B ∪ C ) = Find the number of elements in the set ( A ∩ B ∩ C ) n ( A ∩ B ∩ C ) =
Answers
Answer:
A B C=(6,10,11)2.A B C =(1,3,4,5,7,8,9,12,13,14......20)
The answer is:[tex]\to \bold{(A \cup B\cup C) \cap(A\cup B\cup C) = \bold{\{1,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 \}} }\\\\\to \bold{(A \cap B\cap C) \cap(A \cap B \cap C)=\{6, 10, 11\}}[/tex]
Before giving the solution let discuss what is the universal set, Union, and intersection:
A universal set (typically represented by U) is a collection that has items from all the sets, with no elements being repeated.It specifies in general as a set of all items to be considered.It describes all the elements or objects, including the elements, of other collections.The union of two sets is a collection with all A or B components (possibly both).The intersection denotes the resulting set between such two sets, which contains all the common items.Following are the solution to the question:
Given:
Universal set [tex]\bold{ S = \{ 1 , 2 , 3 , ... , 18 , 19 , 20 \} }[/tex]
Let
[tex]\bold{A, B, C \subset S}[/tex] i.e.
[tex]\bold{A\subset S}\\\\\bold{B\subset S}\\\\\bold{C\subset S}\\\\[/tex]
Set [tex]\bold{A = \{ 1 , 6 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 18 , 19 , 20\}}[/tex]
Set [tex]\bold{B = \{ 1 , 3 , 4 , 6 , 8 , 9 , 10 , 11 , 12 , 15 , 20 \}}[/tex]
Set [tex]\bold{C = \{ 3 , 6 , 7 , 8 , 9 , 10 , 11 , 13 , 14 , 17 \}}[/tex]
Find:
[tex]\to \bold{(A \cup B\cup C) \cap(A\cup B\cup C) =?}\\\\\to \bold{(A \cap B\cap C) \cap(A \cap B \cap C)=?}[/tex]
Solution:
In [tex]\bold{(A \cup B\cup C) \cap(A\cup B\cup C)}:[/tex]
Calculating:
[tex]\bold{(A \cup B\cup C) }= \bold{\{1,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 \}}[/tex]
In this question, the "[tex](A \cup B\cup C)[/tex]" value is equal to "[tex]\bold{\{1,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 \}}[/tex]" that is 18 elements.
When we intersecting both sets that is[tex]\bold{(A \cup B\cup C) \cap(A\cup B\cup C)}[/tex] so, its value will be the same that is:
"[tex]\bold{\{1,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 \}}[/tex]" .
In [tex]\bold{(A \cap B\cap C) \cap(A \cap B \cap C):}[/tex]
Calculating:
[tex]\bold{(A \cap B\cap C) }= \bold{\{6, 10, 11, \} }[/tex]
In this question, the "[tex]\bold{(A \cap B\cap C) }[/tex]" value is equal to "[tex]\bold{\{6, 10, 11 \} }[/tex]" that is 3 elements.
When we intersecting both sets that are [tex]\bold{(A \cap B\cap C) \cap(A \cap B \cap C):}[/tex] so, its value will be the same that is:
"[tex]\bold{\{6, 10, 11 \} }[/tex]".
So, the final answer is:[tex]\to \bold{(A \cup B\cup C) \cap(A\cup B\cup C) = \bold{\{1,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20 \}} }\\\\\to \bold{(A \cap B\cap C) \cap(A \cap B \cap C)=\{6, 10, 11\}}[/tex]Learn more:
brainly.com/question/24156307
In tryouts for the olympics a speed skater had times of 44,64,43,45,42,79 and 4,228 seconds find the average time add numbers
Answers
Answer:
[tex]Average = 43.29[/tex]
Step-by-step explanation:
Given
Time: 44.64,43.45,42.79 and 42.28
Required
Determine the average time
Average or mean is calculated as thus;
[tex]Mean = \frac{\sum x}{n}[/tex]
Where
[tex]\sum x[/tex] = sum of observation
n = number of observation = 4
[tex]Average = \frac{44.64 + 43.45 + 42.79 + 42.28}{4}[/tex]
[tex]Average = \frac{173.16}{4}[/tex]
[tex]Average = 43.29[/tex]
Hence, the average time is 43.29
Find the vector that has the same direction as 3, 2, −6 but has length 2.
Answers
Answer:
The vector is [tex]\vec r = \left(\frac{6}{7},\frac{4}{7},-\frac{12}{7}\right)[/tex].
Step-by-step explanation:
We can determine the equivalent vector ([tex]\vec r[/tex]), dimensionless, by means of the following formula:
[tex]\vec r = \frac{\vec u}{\|\vec u\|} \cdot \|\vec r\|[/tex] (1)
Where:
[tex]\vec u[/tex] - Original vector, dimensionless.
[tex]\|\vec u\|[/tex] - Norm of the original vector, dimensionless.
[tex]\|\vec r\|[/tex] - Norm of the new vector, dimensionless.
The norm of the original vector is determined by the following definition:
[tex]\|\vec u\| = \sqrt{\vec u\,\bullet \,\vec u}[/tex] (2)
If we know that [tex]\vec u = (3, 2, -6)[/tex], then the norm of the original vector is:
[tex]\|\vec u\| = \sqrt{(3)\cdot (3)+(2)\cdot (2)+(-6)\cdot (-6)}[/tex]
[tex]\|\vec u\| = 7[/tex]
If we know that [tex]\|\vec r\| = 2[/tex], then the new vector is:
[tex]\vec r = \frac{2}{7}\cdot (3,2,-6)[/tex]
[tex]\vec r = \left(\frac{6}{7},\frac{4}{7},-\frac{12}{7}\right)[/tex]
The vector is [tex]\vec r = \left(\frac{6}{7},\frac{4}{7},-\frac{12}{7}\right)[/tex].
number 4
solve for x
Answers
Answer:
D
Step-by-step explanation:
7x+12+40=11x+6
7x+52=11x+6
48=4x
12=x
Answer:
12
Step-by-step explanation:
(11x + 6)° = (7x + 14)° + 40°
11x + 6 = 7x + 14 + 40
4x = 48
x = 12
Example
Shama has 1000 shares of par value Rs. 10 each of a company and 200 debentures of par value Rs. 100 each. The company pays an annual dividend of 10% and aninterest of 15% on debentures. Find the total income of Shama and rate of return on her investment
Answers
Answer:
are u indian ¿
:).... ........ :)
Write 12 and 50099 thousandths in standard form?
Answers
Answer:
Twelve fifty thousand ninety nine
Step-by-step explanation:
:))))))
130 divided by 2.5 equals show work
Answers
Answer: 52
Step-by-step explanation: use the calculator lol
Answer:
52
Step-by-step explanation:
Scissor 1,2,3, or 4. Please Help!!!
Answers
Hi please help me the pic is up there
Answers
Answer:
4p^3 (4p + 1)
Step-by-step explanation:
All we can do with this equation is factor it.
16p^4 + 4p^3
When we look at the coefficients, there is a common factor of 4 with 16 and 4. The p's are also common factors, and we can take out a common factor of x^3. We can combine these common factors and take them out of the equation at the same time.
4p^3 (4p + 1)
On Friday, a local hamburger shop sold a combined total of 390 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Friday?
Answers
Answer:
There were 130 hamburgers sold on Friday
Step-by-step explanation:
Assume that the number of hamburgers sold is x
∵ The number hamburgers sold = x
∵ The number of cheeseburgers sold was two times the number of
hamburgers sold
∴ The number of cheeseburgers sold = 2x
∵ On Friday, the shop sold a combined total of 390 hamburgers and
cheeseburgers
→ Add x and 2x, then equate the sum by 390
∴ x + 2x = 390
→ Add the like terms
∴ 3x = 390
→ Divide both sides by 3
∵ [tex]\frac{3x}{3}[/tex] = [tex]\frac{390}{3}[/tex]
∴ x = 130
∵ x represents the number of hamburgers
∴ There were 130 hamburgers sold on Friday
An ant travels at a constant rate of 30 cm every 2 minutes.
At what pace does the ant travel per centimeter?
Answers
Answer:
0.07
Step-by-step explanation:
Mia, Jan, and Eva are sisters. Their combined ages are 44. Mia is 4 years older than Jan. Eva is 5 years younger than Jan. Which system of equations could be used to find Mia’s age?
Let x = Mia’s age, y=Jan’s age, and z=Eva’s age
Answers
x = y + 4
z = y - 5
Substitute:
x + y + z = 44
y + 4 + y + y - 5 = 44
Collect like terms:
3y + 4 - 5 = 44
Isolate 3y:
3y = 45
y = 15
Since we now know y (Jan’s age), we can find out Mia and Eva’s ages:
Mia: y + 14
= 15 + 4
Mia is 19 years old
Eva: y - 5
= 15 - 5
Eva is 10 years old
Proof:
x + y + z = 44
19 + 15 + 10 = 44
In 2004, an art collector paid $ for a particular painting. The same painting sold for $ in 1950. Complete parts (a) through (d). a) Find the exponential growth rate k, to three decimal places, and determine the exponential growth function V, for which V(t) is the painting's value, in dollars, t years after 1950.
Answers
Answer:
The value of k is 0.149.
Step-by-step explanation:
The complete question is:
In 2004, an art collector paid $84,275,000 for a particular painting. The same painting sold for $27,000 in 1950. Complete part (a) through (d)? (a) Find exponential growth rate k, to three decimal places, and determine the exponential growth function V, for which V(t) is the painting’s value, in dollars, t years after 1950.
Solution:
The exponential growth function can be expressed as follows:
[tex]y=a\cdot e^{kt}[/tex]
y = Final value after t years
a = initial value
It is provided that:
y = $84,275,000
a = $27,000
The value of t from 1950 to 2004 is, t = 54
Compute the value of k as follows:
[tex]y=a\cdot e^{kt}[/tex]
[tex]84,275,000=27,000\times e^{54k}\\\\e^{54k}=\frac{84275000}{27000}\\\\54k=\ln (\frac{84275}{27})\\\\k=\frac{1}{54}\times \ln (\frac{84275}{27})\\\\k=0.149[/tex]
Thus, the value of k is 0.149.
does the data represent a negative, positive, or no correlation
Answers
Answer:
Positive
Step-by-step explanation:
Find the area of a rectangle that is 3 3/4 inches long by 2 1/4 inches wide
Answers
Answer:
8.4375
Step-by-step explanation:
multiply the sides by eachother
it helps me to translate it to decimal format :)
Anne has an aquarium in the shape of a rectangular prism that measures 10 in. By 20 in. By 10 in. How many cubic inches of water can the aquarium hold?
Answers
Answer:
[tex]Volume = 2000\ in^3[/tex]
Step-by-step explanation:
Given
Dimension: 10in by 20in by 10in
Required
Determine the capacity of the aquarium
This question implies that, we calculate the volume of the prism and this is calculated by multiplying the dimensions of the aquarium. i.e.
[tex]Volume = Length * Width * Height[/tex]
Substitute values for the dimensions
[tex]Volume = 10 * 20 * 10[/tex]
[tex]Volume = 2000\ in^3[/tex]
Hence, the volume of the aquarium is 2000 cubic inches
Jeff walks 3 1/2 miles in 3/4 hour. in 1 1/4 hours, Loralee walks 6 3/4 miles. who walks faster. Jeff
3 1/2 ÷ 3/4 =7/2÷___ Loralee. 6 3/4 ÷ 1 1/4= 27/4
Answers
Answer:
wait so it wants to know who walked faster?
Step-by-step explanation:
simply 3pq+5pr-2qr+qp-6rp
Answers
Answer:
The answer is 4pq−pr−2qr
Write the decimal expansion for 4/9
Answers
Answer:
0.44444444
Step-by-step explanation:
Answer:
the decimal expansion of 4/9 = 0
Step-by-step explanation:
A blueprint of a house has a scale of 1 in ; 6ft. The living room has a dimension of 18 ft by 24 feet. What are the dimensions on the blueprint of the living room.
Answers
Answer:
3 in by 4 in
Step-by-step explanation:
The blueprint scale is 1 in : 6 ft
This means
1 in : 72 in
1 : 72
For the living room
18 ft by 24 ft can be written as : 18/6 by 24/6
3 in by 4 in -------- units in inches where 1 in : 6 ft
Answer:
The answer is 18 x 24
Step-by-step explanation:
The price of your favorite brand of jeans was $35 last month. This month the price is discounted by 15%. What is the current price of the jeans?
Answers
Answer:
5.25
Step-by-step explanation:
15% × 35 =
(15 ÷ 100) × 35 =
(15 × 35) ÷ 100 =
525 ÷ 100 =
5.25
Explanation: You can round up the number so it’s $30 but if it needs to be specific. $29.75
Please give brainliest answer
A civic group is selling bumper stickers as a fundraiser. During the first week, they sold 500 bumper stickers. During the second week, they sold 50% more bumper stickers than the first week. During the third week, they sold 50% fewer bumper stickers than the second week.
Explain how you can use proportions to find the percent decrease from the first weeks' sales to the third weeks' sales. Your explanation must include the math you did to determine this. If you do not include the math and it make sense you will not get credit for this question.
Answers
Answer:
The third week they sold $375 in bumper stickers
Step-by-step explanation:
Proportions and Percentages
During the first week, the civic group sold 500 bumper stickers as a fundraiser.
During the second week. they sold 50% more bumper stickers than the first week. First, we calculate the increment of 50% of 500:
50% 500 = 50 * 500 / 100 = 250
Thus the second week they sold:
500 + 250 = 750 bumper stickers
Now we know the third week they sold 50% fewer than the second week.
Again, we calculate the 50%, but this time on the basis of 750, and not 500 bumper stickers:
50% 750 = 50 * 750 / 100 = 375
Thus the third week they sold:
$750 - $375 = $375
The third week they sold $375 in bumper stickers
Answer:
Step-by-step explanation:
hehehehdhdnenwne
Find the equivalent to this fraction with the denominator 100
Answers
Answer:
No
Step-by-step explanat
(GIVING BRAINLIEST AND EXTRA POINTS ON THIS ONE!! PLS HELP!!!!!)
Solve seven times three and one fifth.
A) twenty two and one fifths
B) twenty two and two fifths
C) twenty two and three fifths
D) twenty two and four fifths
Answers
Answer:
B
Step-by-step explanation:
3 1/5 x 7/1
(3 x 5) + 1 = 16/5
16/5 x 7/1 = 112/5.
112 ÷ 5 = 22 2/5
so its B.
Answer:
22 2/5, twenty two and two fifths, B.
Step-by-step explanation:
7 * 3 1/5
To make it simpler, convert 3 1/5 into a mixed number.
3 1/5 = 15/5 + 1/5 = 16/5
Now, it's 7 * 16/5
Next, to prevent confusion, convert 7 to a mixed fraction as well.
7 = 7/1 (also known as a rational number.)
now it's 7/1 * 16/5
Simply multiply 7 * 16 and 1 * 5, which results in
112/5
The answer is a mixed number, and you want to simplify it as much as possible,
112/5 is 5 going into 112 with it's highest factor.
5*22 is 110, which is the highest factor that can go into 112.
now 22 can be the whole number, and the remaining numbers in the part over whole fraction stays put. Basically, you subtract the numerator of the mixed number with the highest factor that the denominator can fit into the numerator. (112-110 = 2)
So, the answer is 22 2/5, B. (cannot be further simplified.)
Convert the following equation to standard form: y= - 3/4x + 2
Answers
Hope this helps!
Answer:
3x + 4y = 8
Step-by-step explanation:
Slope intercept form: Standard form:
y = mx + b Ax + By = C
y = -3/4x + 2 y = -3/4x + 2 add 3/4x to both sides
3/4x + y = 2 multiply by 4
3x + 4y = 8