One Opposite side pair of a trapezoid has equal length
KL||JMA is true
<J is supplement to <K
B is falseD is trueJK and LM are not paralle
C is false<J is congruent to <M may be true
Option E is falseMay not be
F is falseAnswer:
A. [tex]\sf \overline{KL}[/tex] is parallel to [tex]\sf \overline{JM}[/tex]
D. ∠J is supplementary to ∠K
Step-by-step explanation:
Properties of a trapezoid:
One pair of parallel sides (the "bases" - top and bottom sides)Interior angles sum to 360°The two angles that are on the same leg (left and right sides) sum to 180°Although the sides of the shape do not have any arrows to indicate that any are parallel, we know that a trapezoid has one pair of parallel sides, so:
[tex]\sf \overline{KL}[/tex] is parallel to [tex]\sf \overline{JM}[/tex]When two angles sum to 180° they are called supplementary angles.
As the two angles that are on the same leg sum to 180° then:
∠J is supplementary to ∠KDoes anyone know the answer? Please and Thank you!
Answer:
no because nkow one can explain
Find:
Number X. if
3
of x is 12.
Answer:
x=4
or
x=36
Step-by-step explanation:
I am wondering if you mean 3x=12 or x/3=12
if 3x=12, then x=4
if x/3=12, then x=36
The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9
Step-by-step explanation:
The domain of the function is all real numbers less than or equal to −2 - FALSE;
The domain of the function is all real numbers less than or equal to 9 - FALSE;
The range of the function is all real numbers less than or equal to −2 - FALSE;
The range of the function is all real numbers less than or equal to 9 - TRUE.
PS. the domain is (-∝;+∝); the range is (-∝;9].
Find the area of the rectangular prism net
Answer:
52 units^2
Step-by-step explanation:
Given:-
Length(L): 4
Width(W): 3
Height(H): 2
Surface area = 2(LW+WH+HL)
2(4×3+3×2+2×4)
2(12+6+8)
52 units^2
Hope this answers your question!!
Help??
x^2 - 5x + 6
I dont need the answer, I have done the steps and gotten to x(x-2)-3(x-2)
I know the answer is (x-2)(x-3)
How do you get (x-2)(x-3) from x(x-2)-3(x-2) ?
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
Solve x²-5x+6
[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]
(x-2)(x-3)
[tex]\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}[/tex]
First, we think of two numbers such that
If we multiply them, we'll get 6
If we add them, we'll get -5
These numbers are -2 and -3.
Write them here:
(x-2)(x-3)
Now, how do we get (x-2)(x-3) from x(x-2)-3(x-2)?
Notice that (x-2) is the common term, so we factor it out:
(x-2)
And now, we write the other two terms that are left in the parentheses:
(And the terms left are x and -3)
(x-2)(x-3)
Notice that we ended up with the same answer.
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Each painting class Olivia teaches is h hours long. She teaches 6 classes per week. Write an expression that shows the total number of hours she teaches
Answer:
6h
Step-by-step explanation:
If Olivia teaches 6 classes that are 1 hour, she teaches 6×1 is 6 hours.
If the classes are two hours, she teaches 6×2 is 12 hours.
Try with numbers to see what math operation you are doing. Its times.
6×h is written 6h
6h is the expression that shows the total number of hours she teaches
What is Expression?An expression is combination of variables, numbers and operators.
Given,
Each painting class Olivia teaches is h hours long.
The number of classes teached by Olivia in a week is 6.
We need to find an expression that shows the total number of hours she teaches
6h is the required expression.
h is the variable because its value will be changed.
Hence, 6h is the expression that shows the total number of hours she teaches
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Me colaboran con esta ecuacion 4x+3=3x+5
[tex]\boxed{ x= 2}[/tex]
Solution :[tex]4x+3=3x+5[/tex]
Subtract 3 from both sides :
[tex]4x + 3 = 3x + 5[/tex]
[tex]4x + 3-3 = 3x + 5-3[/tex]
[tex]4x = 3x + 2[/tex]
Subtract 3x from both sides :
[tex]4x = 3x + 2[/tex]
[tex]4x-3x = 3x + 2-3x[/tex]
[tex]x = 2[/tex]
[tex]\sf{\qquad\qquad\huge\underline{{\sf Answer}}}[/tex]
The value that satisfies the first degree equation is: x = 2.
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf Verification:[/tex]
[tex] \qquad \sf \dashrightarrow42 + 3 = 32 + 5[/tex]
[tex] \: \: \qquad \sf \dashrightarrow 8 + 3 = 6 + 5[/tex]
[tex] \: \: \qquad \sf \dashrightarrow11 = 11[/tex]
Solving a first degree equation
The objective of the problem is to know what is the number that allows the stated equality to be fulfilled, for this it is necessary to clear the value of x.
The formulation is first degree:
[tex] \: \: \: \: \: \: \: \: \: \: \: \boxed{ \Rrightarrow\bf 4x + 3 = 3x + 5}[/tex]
The variables must be grouped in the same term, in this case we will do it in the left term, and the constants (numbers) in the right.
1) Subtract -3x from both terms:
[tex] \qquad \sf \dashrightarrow4x + 3 - 3x = 3x - 3x + 5[/tex]
[tex] \qquad \sf \dashrightarrow \: x + 3 = 5[/tex]
2) Subtract three units for each term:
[tex] \qquad \sf \dashrightarrow \: x + 3 - 3 = 5 - 3[/tex]
[tex] \qquad \sf \dashrightarrow \: {x =2 \: ✔}[/tex]
I hope I've helped : )
HELPPP
a) x + 5 = 11
b) x-6=8
C) 3+ x=7
d) 12 = x + 5
Answer:
A) 6
B) 14
C) 4
D) 7
Hope it helps :))
The circumference of a circle is 113.04 centimetres. What is the circle's radius?
Use 3.14 for .
Answer:
18 centimeters
Step-by-step explanation:
Divide the circumference by π, or 3.14 for an estimation. The result is the circle's diameter.
Divide the diameter by 2.
There you go, you found the circle's radius
Please help
Step by step
The consumption of electricity in May based on the model will be 1225kw.
How to calculate the consumption?The model that's given to calculate the consumption is:
C = 1200 + 5t
May = 5th month
The consumption in May will be:
C = 1200 + 5t
C = 1200 + 5(5)
C = 1200 + 25
C = 1225Kw
In conclusion, the consumption of electricity in May based on the model will be 1225kw.
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Answer it please!!!! I need help with it!
Considering the piece-wise function, the value of the function at x = 2, that is, g(2), is given by:
C. 1.
What is a piece-wise function?It is a function that has different definitions based on the input.
In this problem, the function is defined by:
[tex]g(x) = \left(\frac{1}{2}\right)^{x-3}, x < 2[/tex].[tex]g(x) = x^3 - 9x^2 + 27x - 25, x \geq 2[/tex].Due to the equal sign, x = 2 is part of the second definition, hence:
g(2) = 2³ - 9(2)² + 27(2) - 25 = 1.
Which means that option C is correct.
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6846 is shared equally between 7 people. How much does each person get
Find the exponential equation that passes through the points 0,6 and 2,3.84 in y=ab^x form
Answer:
y=ab^x
y=6.0.8^x
Step-by-step explanation:
find exponential function by substituting given values into y=ab^x and the solve
find maclaurin series
Recall the Maclaurin expansion for cos(x), valid for all real x :
[tex]\displaystyle \cos(x) = \sum_{n=0}^\infty (-1)^n \frac{x^{2n}}{(2n)!}[/tex]
Then replacing x with √5 x (I'm assuming you mean √5 times x, and not √(5x)) gives
[tex]\displaystyle \cos\left(\sqrt 5\,x\right) = \sum_{n=0}^\infty (-1)^n \frac{\left(\sqrt5\,x\right)^{2n}}{(2n)!} = \sum_{n=0}^\infty (-5)^n \frac{x^{2n}}{(2n)!}[/tex]
The first 3 terms of the series are
[tex]\cos\left(\sqrt5\,x\right) \approx 1 - \dfrac{5x^2}2 + \dfrac{25x^4}{24}[/tex]
and the general n-th term is as shown in the series.
In case you did mean cos(√(5x)), we would instead end up with
[tex]\displaystyle \cos\left(\sqrt{5x}\right) = \sum_{n=0}^\infty (-1)^n \frac{\left(\sqrt{5x}\right)^{2n}}{(2n)!} = \sum_{n=0}^\infty (-5)^n \frac{x^n}{(2n)!}[/tex]
which amounts to replacing the x with √x in the expansion of cos(√5 x) :
[tex]\cos\left(\sqrt{5x}\right) \approx 1 - \dfrac{5x}2 + \dfrac{25x^2}{24}[/tex]
-4√x + 5 + 5
I’m not sure how to solve. Radical quadratic function.
Answer:
si es funcion radical al final se pondra con raiz y las raizes son como potenciacion pero al revez es como multiplicacion y su opuesto en divicion haci que 5 mas 5 es 10 mas 4 es 14 pero sigue al raiz haci que se tiene que buscar una raiz a 14 seria 3,7288 y haci pero si no tenemos entonces una divicion 7 por 2 14 pero no se puede haci que 4 entre 7 la respuesta la pondrias como 4 (imagen de raiz encima del 7) 7
Step-by-step explanation:
espero ayudarte utilice un 64/1 de mi cabeza
find the area of the circle whose diameter is 10 cm
Answer:
78.55cm^2
Step-by-step explanation:
area of a circle = πr^2
where π= 3.142
r= radius= diameter/2
radius= 10/2= 5
area= 3.142×(5)^2
area= 3.142×25=78.55cm^2
Please i really need help, i really need this i will give a brainliest to the people that answer correctly
Answer:
B
Step-by-step explanation:
y is first so, 8,1 6,2 4,3 2,4 0,5
Patton is organizing his stamp collection into a book. He has 42 foreign stamps and 70 U.S. stamps. He wants every page to have the same number of foreign stamps and the same number of U.S. stamps. He also wants to put the greatest possible number of stamps on each page. How many pages will he use?
A) 2
B) 6
C) 10
D) 7
Answer:
D. 7
Step-by-step explanation:
42 + 70 = 112 stamps altogether.
112 can be divided by 2, 4, 7, 8, 14, 16, 28, 56
to be more simpler, since there are options, we can cross out the other numbers not shown in the options. then see that 6 and 10 are not divisible by 112, so cross them out. it will left with option A and option D.
option A is 2. if he uses two pages, then each page should have a total of 56 stamps. however, foreign stamps have an amount of 42 only, so it is quite impossible to fit in more than 42.
option D is 7. if he uses 7 pages, then each page could fit in 16 stamps.
so the answer will be option D.
I need a the answer please!!
The diameter of the circle above is 14 cm. What is the circumference of the circle? Use a = 3.14.
Circumference 2пт
A. 153.86 cm
B. 21.98 cm
C. 43.96 cm
D. 307.72 cm
Answer:
43.96 or C
Step-by-step explanation:
c=(pi)(d)
pi --> 3.14
d --> diameter (in your case 14.)
c=3.14*14
c= 43.96
Both formulas work, 2(pi)r and (pi)(d)
But, if they give you the diameter then use (pi)(d).
If they give you the radius then use 2(pi)r
Soo i need yall help rlly bad w it pls
The total number of inches yards that she have is 6.95 yards
Sum of fractionsGiven the following parameters
Amount of red yards = 4.2 inches
Amount of blue yards = 2.75inches
In order to determine the total yards, the sum of the yards is expressed as:
Total yards = 4.2 + 2.75
Total yards = 6.95 yards
Hence the total number of inches yards that she have is 6.95 yards
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A large tank is 120 meters long, 65 meters wide, and 48
meters high. Express the volume of the tank in cubic
meters using scientific notation.
Step-by-step explanation:
the volume of a rectangular block or tank is
length × width × height
so, it is like all regular 3D objects
base area × height.
so, we get
120 × 75 × 48 = 374,400 m³ = 3.744 × 10⁵ m³
why ?
374,400 = 374400 × 10⁰ = 37440 × 10¹ =
= 3744 × 10² = 374.4 × 10³ = 37.44 × 10⁴ =
= 3.744 × 10⁵
Does anyone know the correct answer
Answer:
D. None of these
Step-by-step explanation:
(5×10^8)(4×10^3)
=20 × 10^11
All the terms are being multiplied. There is no distributive property (FOIL) here. Rearrange the numbers in any order that helps you.
5 × 4 × 10^8 × 10^3
Add exponents to multiply the 10's.
and in proper scientific notation, one last change would give you
2.0 × 10^12
Find the slope of the line passing through the points (-6,7) and (-8,5)
Answer:
Slope = 1
Step-by-step explanation:
Curve sketching procedure Calculus
Answer:
Step-by-step explanation:
I don't know what is meant by "analyze the function," but I can draw the functions.
3(a+1.5)= -1.5 what does a equal
Answer:
-2
Step-by-step explanation:
3(a+1.5)=-1.5
a+1.5 = - 1.5/3 = - 0.5
a = - 0.5 - 1.5 = - 2
Answer:
Step-by-step explanation:
3a + 4.5 = -1.5
3a = -6
a = -2
Solve for the variable: 3(x+2) - 9 = 15 - 4(5x - 2)
Make sure you round you answer to the nearest whole number
Answer:
x=1.13
Step-by-step explanation:
isolate the variable and the numbers and solve.
Which expression represents the quotient of seventeen and four?
Answer:
17/4
or
17 ÷ 4
Step-by-step explanation:
This equals 4.25.
hope this helps
have a good day
The quotient of seventeen and four in the mixed fraction form will be 4 ¹/₄. Then the correct option is A.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Convert the statement 'quotient of seventeen and four' into a mathematical expression. Then we have
⇒ 17 / 4
Convert the fraction number into a mixed fraction number, then we have
⇒ 17 / 4
⇒ 4 ¹/₄
The quotient of seventeen and four in the mixed fraction form will be 4 ¹/₄. Then the correct option is A.
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The missing options are given below.
A. 4 1/4 B. 4 3/4 C. 3 1/4 D. 3 3/4
Philippa took out a $860 discounted loan for a period of m months and the simple interest rate was 6%. The amount that was actually disbursed into her bank account was $838.50. Calculate the effective interest rate of this loan, to the nearest 0.01%
The effective rate of interest is given by the same formula but with the disbursed amount which is $838.50.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
Philippa took out an $860 discounted loan for a period of m months and the simple interest rate was 6%. The amount that was actually disbursed into her bank account was $838.50.
Then the effective interest rate of this loan, to the nearest 0.01% will be
So, from the question the interest that is deducted = $860-$838.50 = $21.50
Now, I = Prt/100
So, t = 100 (I/Pr) = 0.42 years = 5months
therefore m = 5months
So, the effective rate of interest is given by the same formula but with the disbursed amount which is $838.50.
I = Prt/100
Therefore, r = 100 (I/Pt) = 6.15%
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write the expression 5x^-4 using only positive exponents
Answer:
1/5x^4
Step-by-step explanation:
To change a negative exponent to a positive one, flip it into a reciprocal. This is what I have done here.