Hello!
[tex]\large\boxed{x = 4.5}[/tex]
To solve, we can use proportions:
Since the triangles are similar, their side lengths will be proportional to each other. We can set up a proportion to solve for the missing side length. Remember to use corresponding sides:
CA ~ FD and AB ~ DE
Therefore:
[tex]\frac{6}{16} = \frac{x}{12}[/tex]
Cross multiply to solve for x:
6 · 12 = 16 · x
72 = 16x
Divide both sides by 16:
72/ 16 = 16x / 16
x = 4.5
Who ever can answer questions 3,4, and 6 will get 30 pts
Answer:
See below.
Step-by-step explanation:
6.)
y - 2 = 3(x - 6)
y - 2 = 3x - 18
y = 3x - 16
4.)
y - (-2) = 3(x - 5)
y + 2 = 3x - 15
y = 3x - 17
3.)
y - 7 = 2(x - 4)
y - 7 = 2x - 8
y = 2x - 1
Of the 15 DVDs, 3/5 were comedies. How many movies were comedies
Answer:
9 comedies
Step-by-step explanation:
(3/5) * 15 = 9
plzzz help .Which point is included in the graph of the ceiling function f(x) = [x]?
Answer: Choice C. (-3.5, -3)
========================================================
Explanation:
Draw a vertical number line. Make sure to plot the points -3 and -4 on this number line. We'll have -4 below -3. In between these values is -3.5
The ceiling function brings the point -3.5 up to -3. Think of an elevator that visits each floor of a skyscraper. Each floor being a positive or negative whole number on this number line. So when x = -3.5, this means f(x) = -3. This points to choice C being the answer.
As another example, if x = 5.7, then f(x) = 6. Yet another example would be x = 2.008 leads to f(x) = 3. We always move up to the closest integer.
Work out 130% of 70 - 170% of 30
Answer:
[tex](130\% \times 70) - (170\% \times 30) \\ = ( \frac{130}{100} \times 70) - ( \frac{170}{100} \times 30) \\ = (91) - (51) \\ = 40[/tex]
How many right angles are in this shape.
Answer:
B:3
Step-by-step explanation:
Elijah buys P pounds of bananas for 60 cents per pound. He pays the clerk with a twenty-dollar bill. The clerk subtracts the total cost of the bananas from the twenty dollar bill to determine the amount of change to give Elijah.
Answer: (20-0.6P)
Step-by-step explanation:
Given: Elijah buys P pounds of bananas for 60 cents per pound.
Since 1 dollar = 100 cents
Then, 60 cents = [tex]\$\dfrac{60}{100}=\$0.6[/tex]
Cost of P pounds of bananas = Cost per pound x P
= $0.6 P
He pays the clerk with a twenty-dollar bill.
Change he will get = $ 20 - Cost of P pounds of bananas
= $ (20-0.6P)
Hence, the expression of the change Elijah will get = (20-0.6P)
A direct variation function contains the points (-9, 3) and (-12, 4). Which equation represents the function?
Oy=-3x
Oy=
O y
Oy=3x
The equation which represents the function is y=-1/3x
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We have to find equation of line passing through points (-9, 3) and (-12, 4)
slope = 4-3/-12+9
=1/-3
=-1/3
Now let us find y intercept
3= -1/3(-9)+b
3=3+b
b=0
Hence, the equation which represents the function is y=-1/3x
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Solve for M MUST SHOW WORK!!!
2 = m/2 - 7
M=???
Answer:
[tex]2 = \frac{m}{2} - 7 \\ \frac{m}{2} = 9 \\ m = 2 \times 9 \\ \boxed{m = 18}[/tex]
m=18 is the right answer.Write 6 feet to 36 feet as a fraction in simplest form
Answer:
Step-by-step explanation:
6/36=1/6
What is 5/4 simplified?
Answer: 1 1/4
Step-by-step explanation:5/4 is an improper fraction so it can not be simplify aymore but you can write it as a mixed number. 5/4 as an improper fraction is 1 1/4 .
Hope it helps :)
HELP PLEASE!!!
Determine whether the statement below is always, sometimes, or never true.
A kite is a rhombus.
A. always true
B. sometimes true
C. never true
Answer: Actually, it's never true.
Step-by-step explanation:
A kite is a quadrilateral defined to have no pairs of parallel sides.
A rhombus is a quadrilateral that has two pairs.
HOPE THIS HELPS
Hence Option B is correct i.e. sometimes true.
What is a Rhombus?A Rhombus is a quadrilateral. It is a special case of a parallelogram, whose all sides are equal and diagonals intersect each other at 90 degrees.
How to Solve:A Rhombus has following major properties:
1)The diagonals bisect each other at 90 degrees,
2)Opposite sides are parallel and equal and
3)Opposite angles are always equal.
A kite has only one pair of opposite equal angles and only adjacent sides are equal. a kite may or may not hold property no. 3.
Hence , Option B is true.
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9c+1=10 i do not know the answer to this problem
Answer: To figure out the answer, you have to find c, c equals 0 because adding anything from 9 + 1 equaling 0 will get you above the answer, 10. so, 9c + 1 = 10, now lets change the equation to 9c(0) + 1 = 10, c equaling zero would make the most sense because if c equals 0 then you will get 10, the answer.
Step-by-step explanation:
Answer:
well depending on what they are asking the answer is either
C=1
or
true
Step-by-step explanation:
just accept it
is 12/15 equivalent to 36/45
Answer:
YES
Step-by-step explanation:
Answer:Any positive improper fraction is larger than any positive proper fraction: ie: 44/25 > 1 > 19/ ie: - 44/25 < -1 < - 19/
Step-by-step explanation:
How many solutions does this system have?
y = 5 x minus 1. y = negative 3 x + 7.
no solutions
one unique solution
two solutions
an infinite number of solutions
Answer:
One
Step-by-step explanation:
There will be one unique solution of the equation y = 5x - 1 and y = 3x + 7. The correct option is B.
What is a system of equations?A finite collection of equations for which we searched for common solutions is referred to in mathematics as a system of equations, sometimes known as a set of simultaneous equations or an equation system. Similar to single equations, a system of equations can be categorized.
A linear equation can only have one unique solution, which is a location at which the LHS and RHS of the equation are equal. There is only ever one solution to a linear equation with one variable.
y = 5x - 1
y = 3x + 7
5x - 1 = 3x + 7
2x = 8
x = 4
y = 19
Therefore, there will be one unique solution of the equation y = 5x - 1 and y = 3x + 7.
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Write 1 ⅝ as a decimal.
Answer:
1.625.
Step-by-step explanation:
What is the sequence of the n^"th" term equation f(n) = -3n +7 for n 1
Answer:
The sequence of the given equation
4 , 1, -2 , -5, ......
∴ The given sequence is in Arithmetic progression ( A.P)
Step-by-step explanation:
Step(i):-
Given [tex]n^{th}[/tex] term of thesequence
f (n) = - 3n + 7
Put n = 1
first term a₁ = f (1 ) = - 3 (1 ) + 7 = - 3 + 7 = 4
Put n = 2
second term a₂ = f(2) = - 3 ( 2) + 7 = -6 +7 =1
Put n =3
Third term a₃ = f(3) = -3(3) +7 = -9 + 7 = -2
Put n =4
Fourth term a₄ = f(4) = -3(4) +7 = -12 + 7 = -5
Step(ii):-
The sequence of the given equation
4 , 1, -2 , -5, ......
first term a = 4 , d = 1 -4 = -3
The difference of two terms in this sequence is equal
∴ The given sequence is in Arithmetic progression ( A.P)
Final answer:-
The sequence of the given equation
4 , 1, -2 , -5, ......
∴ The given sequence is in Arithmetic progression ( A.P)
Simplify each expression and match it with the equivalent value.
Answer:
D, E, C, A
Step-by-step explanation:
Labelling the 5 top values as A, B, C, D, E
PLZ HELP I AM FAILING MATH!!
How many variable terms are in the expression 3x3y + 5x2 − 4y + z + 9?
answer:3
explaintion:
count the letters
Which of there polynomials could have (x-2) as a factor?
a(x) = 6x² - 7x - 5
b(x) = 3x² + 15x - 42
c(x) = 2x³ + 13x² + 16x + 5
d(x) = 3x³ - 2x² - 15x + 14
e(x) = 8x⁴ - 41x³ - 18x² + 101x + 70
f(x) = x⁴ + 5x³ - 27x² - 101x - 70
Answer:
x-2 is a factor of following polynomials:
b(x) = 3x² + 15x - 42d(x) = 3x³ - 2x² - 15x + 14 e(x) = 8x⁴ - 41x³ - 18x² + 101x + 70Step-by-step explanation:
In order to check that which polynomials might have x-2 as a factor, we will put
x-2 = 0 => x = 2 in each polynomial, if the value of polynomial on 2 is zero then x-2 is a factor otherwise not.
So,
a(x) = 6x² - 7x - 5
Putting x = 2
[tex]a(2) = 6(2)^2-7(2)-5\\= 6(4)-14-5\\=24-14-5\\=24-19\\=5 \neq 0[/tex]
b(x) = 3x² + 15x - 42
[tex]b(2) = 3(2)^2 + 15(2) - 42\\=3(4)+30-42\\=12+30-42\\=42-42 = 0[/tex]
c(x) = 2x³ + 13x² + 16x + 5
[tex]c(2) = 2(2)^3 + 13(2)^2 + 16(2) + 5\\=2(8)+13(4)+32+5\\=16+52+32+5\\=105 \neq 0[/tex]
d(x) = 3x³ - 2x² - 15x + 14
[tex]d(2) = 3(2)^3 - 2(2)^2 - 15(2) + 14\\= 3(8)-2(4)-30+14\\=24-8-30+14\\=38-38 = 0[/tex]
e(x) = 8x⁴ - 41x³ - 18x² + 101x + 70
[tex]e(2) = 8(2)^4 - 41(2)^3 - 18(2)^2 + 101(2) + 70\\= 8(16)-41(8)-18(4)+202+70\\=128-328-72+202+70\\=0[/tex]
[tex]f(2) = (2)^4 + 5(2)^3 - 27(2)^2 - 101(2) - 70\\=16+5(8)-27(4)-202-70\\=16+40-108-202-70\\=-324 \neq 0[/tex]
Hence,
x-2 is a factor of following polynomials:
b(x) = 3x² + 15x - 42d(x) = 3x³ - 2x² - 15x + 14 e(x) = 8x⁴ - 41x³ - 18x² + 101x + 70Find the missing angle
Answer:
56deg
Step-by-step explanation:
A triangle has 180deg.
180 = 68 + 56 + x >> add 68 and 56
180 = 124 + x >> subtract 124 from both sides
56 = x
The missing side is 56deg
Please help . Thanks in advance
Answer:
15 inches.
Step-by-step explanation:
Since we know its a square, we know that the side lengths are all equal. Knowing this, we know that we could find the area by taking a side length and squaring it. So we can take the square root of 219 to find the side length:
√219 = 14.79864859 ≈ 15
Therefore, the side lengths of the sign are about 15 inches.
Please explain the question.
12 divided by 12 x 34 x 5
Answer:
1/170
Step-by-step explanation:
divide 12 by 2040
Answer:
.005
Step-by-step explanation:
12*34=408
408*5=2040
12/2040=.005
Hope this helps!
The freezing point of a certain liquid is -7F . Another liquid freezes at -12F . What is the difference between the absolute values of each freezing point?
Answer:
Step-by-step explanation:
5
if x+y=10 and x-y=6 what is this value of x cube - y cube
Answer:
x cubed minus y cubed is equal to 504
Step-by-step explanation:
First we need to know what the values of x and y are. We can do this pretty easily, by just solving both equations for x, and equating them to each other:
With the first:
x + y = 10
x = 10 - y
And with the other
x - y = 6
x = 6 + y
Now that we have two definitions of x, we can say that the expressions are equal, and solve for y:
10 - y = 6 + y
10 - 6 = y + y
4 = 2y
y = 2
And now that we know what y is, we can find x:
x = 10 - y
x = 10 - 2
x = 8
So x is equal to eight. We can check our answer by plugging x into the other equation and seeing if we get the same value for y:
x - y = 6
8 - y = 6
-y = 6 - 8
-y = -2
y = 2
So we know we solved that correctly.
Now if we cube each number, eight cubed is equal to 512, and 2 cubed is equal to 8. If we subtract the latter from the former we get 504.
so x cubed minus y cubed is equal to 504
Challenge #2 Press "Deal" to receive your cards. Drag cards from your hand to the red and blue areas. GOAL: Create two groups of cards with the SAME SUM using as many cards as possible.
Answer:
Can you explain what the press deal and recieve cards means?
Step-by-step explanation:
Please help!
What is one proportion?
What are the answer for these questions?
1. Yes
2. -1
3. 4/3
4. y=4/3x-1
Answer:
I dont know the first one I'm sorry
Y- intercept is -1
The slope is: 4/3
The slope intercept equation for the table is: y=4/3x-1
Please help me! Need help! I will give brainliest.
Answer:
A I think
Step-by-step explanation:
-5=-10+
I don’t understand this can someone please help me with this?? Thank you
Answer:
im pretty sure its 5+
Step-by-step explanation: