Given:
Consider the below figure attached with this question.
To find:
The value of x.
Solution:
According to the exterior angle theorem, the exterior angle of a triangle is equal to the sum of two opposite interior angles.
In triangle ABC, using exterior angle theorem, we get
[tex]\angle ACD=\angle ABC+\angle BAC[/tex]
[tex]x=75^\circ +30^\circ [/tex]
[tex]x=105^\circ [/tex]
The value of x is 105 degrees.
Therefore, the correct option is C.
7th grade math plz help
THE ANSWER IS NOT 15
Answer:
25
Step-by-step explanation:
90+x+2x+15=180
3x=75
x=25
i need help factoring polynomials and knowing the steps to reach the answer. 1) x² - 7x + 10 as well as 2) 6r² + 19r - 20
Answer:
1) (x-2)(x-5)
2) (6r-5)(r+4)
Step-by-step explanation:
1)
It will just be x since the coefficient is 1
To figure out the second number you need to think of the multiples of 10.
So either 2 and 5 or 1 and 10. Since 2 and 5 add to 7 it's them.
They're negative since 7 is and can still make a positive 10.
2)
This one is more just plugging and guessing to see which on works.
Find the multiples of both 6 and 20, afterwards plug in the multiples til you get 19 in the final product.
Since 20 was negative the one of the numbers would be negative.
I can't explain it lol
Sarah is allowed to watch no more than 10 hours of television each week. Sarah has already watched 6 hours of television. Define a variable, set up an inequality and solve that inequality to determine how many more hours of television Sarah can watch this week.
Answer:
Inequality = 6 + x ≤ 10
x(Number of hours more of television Sarah can still watch this week) = 4 hours
Step-by-step explanation:
Define a variable, set up an inequality and solve that inequality to determine how many more hours of television Sarah can watch this week.
We are told in the question that:
Sarah is allowed to watch no more than 10 hours of television each week.
This means :
Sarah can watch tv for less than or equal to 10 hours in a week. Sarah has already watched 6 hours of television.
Hence:
The number of hours left that Sarah can watch television in a week is represented as x
Our Inequality Equation =
6hours + x hours ≤ 10 hours
6 + x ≤ 10
Solving the inequality
x ≤ 10 - 6
x ≤ 4 hours
This means Sarah still has no more than (less than or equal to) 4 hours or television left to watch in this week
1. How many students have at least 1 brother but no sisters?
2. How many students have at least 1 sister but no brothers?
3. How many students have no brothers and no sisters?
4. How many students have brothers or sisters?
You go to Cent xD ain't no one going to answer that
A soup can has a height of 4 cm and a radius of 3 cm
Answer:
what's the question
................
i need help asaapppp
Answer:
Step-by-step explanation:
the 3rd one
pls answer it pls pls pls pls pls pls pls pls pls pls
Answer: Trey is correct
Step-by-step explanation: Because 3 x 4 = 12 and 4 x 3 also = 12 so Trey is correct.
Hamburger meat is $2.19 per pound. A box of spaghetti noodles is $0.79.
Chris is going to purchase four pounds of hamburger meat and three boxes of spaghetti noodles. Write an expression that you could use to determine the amount of money Chris will spend.
Answer:
(2.19 x 4) + (0.79 x 3)
Step-by-step explanation:
ok so u hv to take 2.19 and multiply it by four. Then take 0.79 and multiply it by three.
Answer:
9.55
Step-by-step explanation:
A 2-column table with 4 rows. Column 1 is labeled Gallons with entries 2, 4, b, 10. Column 2 is labeled miles with entries 56, a, 168, c. A 2-column table with 4 rows. Column 1 is labeled Gallons with entries 2, 4, b, 10. Column 2 is labeled miles with entries 56, a, 168, c. Alexa is planning to drive across the United States in her car. She started making a table to represent the proportional relationship between gallons of gas and miles driven. The table shows how far she can travel for each gallon of gas that she uses. What is the constant of proportionality? miles per gallon
Answer:
28 miles per gallon
Step-by-step explanation:
A 2-column table with 4 rows. Column 1 is labeled Gallons with entries 2, 4, b, 10. Column 2 is labeled miles with entries 56, a, 168, c.
Alexa is planning to drive across the United States in her car. She started making a table to represent the proportional relationship between gallons of gas and miles driven. The table shows how far she can travel for each gallon of gas that she uses.
What is the constant of proportionality?
Answer:
A=112
B=6
C=280
Step-by-step explanation: This may be a bit of differ question. Though if you question is: A 2-column table with 4 rows. Column 1 is labeled Gallons with entries 2, 4, b, 10. Column 2 is labeled miles with entries 56, a, 168, c.
Alexa is planning to drive across the United States in her car. She started filling out the table showing how far she can travel for each gallon of gas that she uses. Find the missing values using the constant of proportionality of 28 miles per gallon.
Then those will be the answers if you have a multiple answer question!
Hope i helped somewhat
What is the measurement of <8
Answer:
175
Step-by-step explanation:
since 1 was 152 you have to add more to get number 8
pleasee help please
Answer:hi
Step-by-step explanation:
what is the surface area of the square pyramid (pic attached)
Answer:
18ft2
Step-by-step explanation:
plz help me if you see this
Quantity
0-20 pairs
21-40 pairs
41-60 pairs
61-80 pairs
81 or more pairs
Wholesale Price
(per pair)
$25.00 each
$23.00 each
$21.00 each
$19.00 each
$17.00 each
a) Write an equation that could be used to find the retail price for each range.How do you know the equation will work consistently for each range? plz help me if you see this
Answer:
I am confused on what you are asking but I think the answer is y=12345x
Step-by-step explanation:
its correct
solve 3^x+3=30 (will give brainlest for the correct answer)
Answer:
x=3
Step-by-step explanation:
3^x+3=30
3^x=27
3^3=27
x=3
Answer:
Step-by-step explanation:
3 x 3 = 9 + 3 = 12
30 divided by 12
= 2.5
4m + 7 = -3m + 49 what does this
Answer: m = 6
Step-by-step explanation:
first, move the terms.
4m + 3m = 49 - 7
then, collect like terms and calculate.
7m = 42
then divide both sides.
m = 6
Answer:
m=42
Step-by-step explanation:
simplifying both sides of the equation then isolating the variable.
find UT.
- 42.5
- 16.25
- 21.25
- 32.5
Answer:
32.5
Step-by-step explanation:
Hope this helps:)
What is the number of possible permutations of 8 objects taken 4 at a time?
A.
24
B.
70
C.
1,680
D.
40,320
Answer:
1,680
Step-by-step explanation:
n!/(n-r)!
in this case n= 8 and r= 4
so 8!/(8-4)! = 1,680
The possible permutation of 8 objects taken at 4 a time will be 1680.
What is permutation?
The linear arrangement of the set of the orders or the linear arrangements of the numbers is called the permutation.
The number of possible permutations of 8 objects taken 4 at a time will be:-
[tex]^8C_4=\dfrac{8!}{(8-4)!}[/tex]
[tex]^8C_4=\dfrac{8!}{(4)!}[/tex]
[tex]^8C_4=\dfrac{8 \times 7\times 6\times 5\times 4\times 3\times 2}{4\times 3\times 2}=1680[/tex]
Therefore the possible permutation of 8 objects taken at 4 a time will be 1680.
To know more about permutations follow
https://brainly.com/question/1216161
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Customers at an ice cream shop took a survey. The results showed that 144 customers rated the shop as being "very satisfactory." This number represented 45% of the total number of customers who took the survey. What was the total number of customers who took the survey?
HELP PLEASE D:
Answer:
320 customers is the answer
Step-by-step explanation:
1. You have to divide 144 by 45% to find one percent of the customers (you get 3.2).
2. Once you get one percent of all of the customers (3.2) you multiply it by 100 to get 100 percent of the customers (or total number of customers).
So, 320 total customers
Have a great day, I hope you like the explination.
A student can run 100 yards in 15 seconds. Convert this speed to miles per hour.
f(x) = x^2 +3x-2
F(a) = ?
find F(x) for the given domain.
Answer:
a^2 +3a-2
Step-by-step explanation:
Given the expression:
g(x) = x^2 +3x-2
We are to find f(a). To get this, we will simply replace x with a in the expression as shown;
g(a) = a^2 +3a-2
hence the required domain is expressed as g(a) = a^2 +3a-2
HELP PLZ I GIVE BRAINLEST FIRST COME FIRST SERVE GOD BLESS YOU
Answer:
x=[tex]\sqrt{6}[/tex]
Step-by-step explanation:
subtarct 2 t the other side
2x^2=12
now divide 2 to 12
x^2= 6
now square root both sides
x=[tex]\sqrt{6}[/tex]
thats the answer!
Answer:
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2x²+2=14
Step 2: Subtract 2 from both sides.
2x²+2 −2 =14 −2
2x²=12
Step 3: Divide both sides by 2.
2x²÷ 2 =12 ÷ ²
x²= 6
Step 4: Take square root.
x= √ 6
x=6 or x=−6
Simplify:
3-2i
-11-8i
Answer:
1i and -19i
Step-by-step explanation:
3-2=1, therefor: 1i
-11-8=-19, therefor: -19i
15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:
Answer: a
Step-by-step explanation:
number one eliminate the ones that you know that are wrong
number two please don't give me that attitude
number 3 relaxer brain and then the answer will be
Answer:
y = -2x + 17
Step-by-step explanation:
The line is parallel to 4x + 2y = 10, and parallel lines have the same slope. Let's convert this line into slope intercept form:
2y = 10 - 4x,
y = -2x + 5
So the slope of this line and our line [the line which we want to determine in slope intercept form] is -2
Given the point (7, 3) and slope -2 we can solve for the y-intercept;
y = mx + b,
3 = -2(7) + b,
-14 + b = 3,
b = 17
Your solution is y = -2x + 17 (First option)
PLS HELP MATHH!!! FIVE STARS!!!
Polynomials are closed under subtraction.
Question 22 options:
True
False
Answer:
True
Step-by-step explanation:
sry if it wrong
It’s time to lock down the design details for the redesigned Brick and Egyptian candles. Because of manufacturing constraints, the base length for each candle has to be at least 2 cm and can be no more than 10 cm. Make a recommendation for the base dimensions of each candle. Explain how you determined your base dimensions. Your reasoning does not have to be all math related.
Answer:
THE SMALLEST FORMS:
- smallest prism ---> the cube with all sides 2 ==> the volume is 2*2*2 = 8 cm^3
- smallest pyramid number one ---> the pyramid with base sides 2 and the height also 2 ==> the volume is (1/3)*2*2*2 = 8/3 cm^3
- smallest pyramid number two ---> the pyramid with base sides 2 and the lateral sides also 2 ==> the radius of the base is sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 2^2 - sqrt(2)^2 = 4 - 2 = 2 ==> pyramid_height = sqrt(2) ==> the volume is (1/3)*2*2*sqrt(2) = 4*sqrt(2)/3 cm^3
- smallest cylinder --> the cylinder of diameter 2 and height also 2 ==> the radius is diameter/2 = 2/2 = 1 ==> the volume is pi*(radius^2)*height = pi*(1^2)*2 = pi*1*2 = 2*pi cm^3
The lesser volume is the volume of the smallest pyramid number two. ==> it's wax cost is approximately 0.0075 * 4 * 1.42 / 3 $ per candle = 0.014 $ per candle ==> the total cost per candle is approximately 0.014 + 1.6 = 1.614 $ per candle.
THE BIGGEST FORMS:
- biggest prism ---> the cube with all sides 10 ==> the volume is 10*10*10 = 1000 cm^3
- biggest pyramid number one ---> the pyramid with base sides 10 and the height also 10 ==> the volume is (1/3)*10*10*10 = 1000/3 cm^3
- biggest pyramid number two ---> the pyramid with base sides 10 and the lateral sides also 10 ==> the radius of the base is 5*sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 10^2 - [5*sqrt(2)]^2 = 100 - 50 = 50 ==> pyramid_height = 5*sqrt(2) ==> the volume is (1/3)*10*10*5*sqrt(2) = 500*sqrt(2)/3 cm^3
- biggest cylinder --> the cylinder of diameter 10 and height also 10 ==> the radius is diameter/2 = 10/2 = 5 ==> the volume is pi*(radius^2)*height = pi*(5^2)*10 = pi*25*10 = 250*pi cm^3
The bigger volume is the volume of the biggest prism (the side-10 cube). ==> it's wax cost is 0.0075 * 1000 $ per candle = 7.5 $ per candle ==> the total cost per candle is 7.5 + 1.6 = 9.1 $ per candle
The range of the cost is the interval [1.614 ; 9.1]. Depending on other prices on the market, you greed, and other factors you will put a profit margin: maybe 20% of the cost ; maybe a fixed margin like 5$. So the price per candle will be the cost per candle plus the profit margin per candle.
If I were to choose the base length I would have to say 6 because it is the arithmetic mean between 2 and 10: (2+10)/2 = 12/2 = 6. 2cm is too small, and 10cm is too big.
Also if you start with a rectangle of length 10 and width 2 and you have to find the rectangle with the largest area by being allowed to increase the width and decrease the width with the same quantity you get this:
Area of the new rectangle is (10-x)(2+x) = -x^2 + 8x + 20 = -x^2 + 8x -16 + 36 = -(x^2 - 2*x*4 + 4^2) + 36 = -(x-4)^2 + 36 = 36 - (x-4)^2 which has the maximum value of 36 because out of 36 you subtract a positive value. You get the maximum when (x-4)^2 = 0 ==> x-4=0 ==> x=4
The new length is 10-4=6 and the new width is 2+4=6.
Next I would choose the height of the prism (I like prisms :P) to be [the_golden_ratio]*[base_side] which is approximately 1.618 * 6 = 9.708 which I would round up to 10. ==> The volume would be 6*6*10 = 360 cm^3. ==> the cost would be 0.0075*360 + 1.6 = 2.7 + 1.6 = 4.3 $ per candle. And because my candle is so perfect I'd put the profit margin to be 5.69 $ per candle so I can proudly show it in the store with the price of 4.3 + 5.69 = 9.99 $ :)
Look at the diagram. If ST = 15 and RT = 40, then RS =_____.
R———————S——————T
The length of RS is 55 unit.
What is Axiom of addition?The addition axiom states that when two equal quantities are added to two more equal quantities, their sums are equal. Thus, if a = b and y = z, then a + y = b + z.
We have, ST = 15 and RT = 40
Then RS can be get by adding the value ST + RT.
Apply Axiom of addition
then, RS
= RT + ST
= 40 + 15
= 55 unit.
thus, the length of RS is 55 unit.
Learn more about Axiom of addition here:
https://brainly.com/question/24148930
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I’ll mark as BRANLIEST!!!
25 POINTS!
-Write a function rule for the area of a rectangle whose length is 3 inches more than the width. What is the area of the rectangle when its width is 7 inches. Remider: A=1xw
Answer:
70=A
Step-by-step explanation:
7=3+7=10x7=70=A
NO ONE IS HELPINGGG MEEEE
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
A rectangle has a length of (3x2 -5x + 7) and a width of (-5x2 + 8x - 2). What is the perimeter of the rectangle?
A.
-4x2 + 6x + 10
B.
8x2 + 13x + 9
C.
-2x2 + 3x + 5
D.
-16x2 + 26x + 11
Answer: D
Step-by-step explanation: Just solve for perimeter of a rectangle by just plugging the side length in with these equations.
Maurice has a paper bag with three hard candies: two blueberries and one green apple. Yvonne and Kate ask if they can each have one. Yvonne closes her eyes and picks a candy from the bag, hoping for a blueberry. What are the chances she will pick a blueberry candy?
Answer:
The chances of Yvonne to get a blue berry candy in the two cases are 1 and 1/2 in case 1 and 2/3 in the case 2.
Step-by-step explanation:
Maurice has a paper bag with three hard candies
2 blueberries and 1 green apple
Yvonne and Kate want 1 candy each
It is not mentioned that ether Kate has taken a candy already before Yvonne or not so we will consider both the cases
Case 1
If Kate has picked a candy before Yvonne
If Kate gets an Apple green candy then the probability or Yvonne to get a Blueberry will be = 2/2 = 1 ( as there will 2 blueberry candy left in the bag)If Kate has taken a Blueberry candy then there will be 1 blueberry and 1 apple green candy in the bag so the probability of Yvonne to get a Blueberry candy will be = 1/2Case 2
If Kate has not taken any candy from the bag before Yvonne
Probability that Yvonne will get a blueberry candy will be = 2/3
Therefore the chances of Yvonne to get a blue berry candy in the two cases are 1 and 1/2 in case 1 and 2/3 in the case 2.
In the equation, f(x)=2x-4(x+1), what is the value of f(-14)?
A. 32
B. -32
C. 5
D. 24
Answer:
D. 24
Step-by-step explanation:
Plug in -14 to the equation:
f(x) = 2x - 4(x + 1)
f(-14) = 2(-14) - 4(-14 + 1)
Simplify:
f(-14) = -28 - 4(-13)
f(-14) = -28 + 52
f(-14) = 24
So, D is the correct answer.