Select all the true statements.
1/2
3 4
#
5 6
8
A 23 22 because they are alternate interior angles.
OB. m21+ m23 = 180 because they form a straight angle.
C. 23 26 because they are alternate interior angles.
26 and mz1 + m23 = 180.
OD. 21 and 26 are supplementary because 23
OE 21 23 because they are vertical angles.
>
Answers
The true statements regarding this situation are as follows:
Angles 3 and 6 are congruent because they are alternate interior angles.Angles 1 and 3 add to 180º as they are straight angles.Angles 1 and 6 are supplementary.What is the missing information?The diagram is missing, but it is given on the graph at the end of the answer. (not drawn to scale)
What are the correct statements?The alternate interior angles are between the two parallel lines, one in each side, and they are congruent.
Hence:
Angles 3 and 6 are congruent because they are alternate interior angles.
Straight angles are angles of 180º on a line, hence:
Angles 1 and 3 add to 180º as they are straight angles.
Since angles 3 and 6 are congruent(alternate interior), angles 1 and 6 will also be supplementary, as they add to 180º.
A similar problem, in which a transversal cuts two parallel lines, is given at the end of the answer.
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Related Questions
can you solve for x −68<8x−4<−36
Answers
Answer:
- 8 < x < - 4
Step-by-step explanation:
- 68 < 8x - 4 < - 36 ( add 4 to each interval )
- 64 < 8x < - 32 ( divide each interval by 8 )
- 8 < x < - 4
Laura runs during her lunch break.
The average speed S, in kilometers per hour, at which Laura runs depends on the temperature t, in degrees Celsius (°C), at the start of her run and can be modeled by the function S(t) = 6 + 0.2(25 - t).
The distance, D, in kilometers, that she can run in 30 minutes given that her average speed is a kilometers per hour can be modeled by the function D(x) = 0.5x.
Which expression models the distance that Laura runs in 30 minutes given that it is t°C outside at the start of her run?
A. 5.5 - 0.2t
B. 11 - 0.1t
C. 11 - 0.5t
D. 5.5 - 0.1t
Answers
Using composite functions, the expression that models the distance that she runs is:
D. 5.5 - 0.1t.
What is the composite function of f(x) and g(x)?The composite function of f(x) and g(x) is given by:
(f ∘ g)(x) = f(g(x)).
In this problem, we have that:
The velocity as a function of the temperature is: S(t) = 6 + 0.2(25 - t) = 11 - 0.2t.The distance as a function of the velocity is: D(x) = 0.5x.Hence the distance as a function of the temperature is given as follows:
(D ∘ S)(t) = D(S(t)) = 0.5(11 - 0.2t) = 5.5 - 0.1t.
Which means that option D is correct.
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A line passes through point (6, -6) and has a slope of -4/3
Write an equation in Ax+By=C form for this line.
Use integers for A, B, and C.
-
Answers
Answer:
4x + 3y = 6
A = 4
B = 3
C = 6
Step-by-step explanation:
A line have a function:
y = ax + b
Because the line has a slope of - 4/3
=> a = - 4/3
=> y = - 4/3 x + b
Because the line go through point (6; - 6)
=> - 6 = - 4/3 .6 + b
=> b - 8 = - 6
=> b = 2
=> The function of the line
y = - 4/3 x + 6
=> 3y = - 4x + 6
=> 4x + 3y = 6
HELPPP 25 pointssss MATH
Answers
Answer: [tex]\frac{3}{4s}[/tex]
Step-by-step explanation:
3s^2 / 4(s)^3=
3s^2 / 4s^3=
3/4 * s^2/s^3=
3/4 * s^(2-3)=
3/4 * s^(-1)=
3/4 * 1/s=
3*1 / 4s=3/(4s)
Aileen is a salesperson at Lopez Sporting Goods. She is paid a monthly commission on all Little League uniforms she sells. She receives 10% of her first $2,000 in sales and 12% of the balance of her sales. Last week she earned $231.20. What was the total value of the uniforms she sold?
Answers
The total value of the uniform Aileen sold is x= 2260 on monthly Commission sells.
Given,
Let us assume the all little League uniform = x
Aileen first commission 10% of 2000$ in sales.
Aileen Second Commission 12% of (x-2000)$
Total Commission Aileen Earner = 10% ×2000 + 12% × (x-2000)
231.2 = 0.1× 2000 + 0.12× (x-2000)
231.2 = 200 + (0.12x - 240 )
231.2 = 200 + 0.12x - 240
After Transformation, we get
0.12x = 231.2 - 200 +240
0.12x = 271.2
x = 271.2/.12
x = 2260
Aileen Sell the total value of Lopez Sporting Goods Uniform is 2260.
So the final Answer is x = 2260$.
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HELPPPPPPPPPPPPPPP ILL MARK AS BRAINLIST HELPP
Answers
The graphs of the equations can be obtained by finding the intercepts, and drawing a line through the intercepts.
1. Please find attached the graph of 2•x - y - 6 = 0
2. Please find attached the graph of 4•x + 2•y + 8 = 0
How can a graph be drawn using the intercepts?The graph of the linear equations using the x and y intercepts are found as follows;
1. 2•x - y - 6 = 0
Therefore;
2•x - y - 6 = 0
y = 2•x - 6
The y-intercept is given by the point where x = 0
The y-intercept is therefore;
y = 2×0 - 6 = -6
The y-intercept is y = -6The x-intercept is given by the point where y = 0
Therefore;
0 = 2•x - 6
x = 6/2 = 3
The x-intercept is at x = 3Please find attached the graph of 2•x - y - 6 = 0, created using the x and y-intercept.
2. 4•x + 2•y + 8 = 0
Therefore;
4•x + 2•y + 8 = 0
y = -(4•x + 8)/2 = -2•x - 4
y = -2•x - 4
The y-intercept is therefore;
y = -2×0 - 4 = -4
The y-intercept is y = -4
The x-intercept is therefore;
0 = -2•x - 4
x = -4/2 = -2
The x-intercept is at x = -2
Please find attached the graph of 4•x + 2•y + 8 = 0, created using the x and y-intercept.
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cly cloudy
Watch help video
Solve for x, rounding to the nearest hundredth.
110 • 10^4x = 55
Answers
[tex]110\cdot 10^{4x}=55\implies 10^{4x}=\cfrac{55}{110}\implies 10^{4x}=\cfrac{1}{2}\implies 10^{4x}=2^{-1} \\\\\\ \log\left( 10^{4x} \right)=\log\left( 2^{-1} \right)\implies 4x\log_{10}\left( 10 \right)=-1\log_{10}(2)\implies 4x(1)=-\log(2) \\\\\\ 4x=-\log(2)\implies x=-\cfrac{\log(2)}{4}\implies {\LARGE \begin{array}{llll} x\approx -0.08 \end{array}}[/tex]
charlotte denning earns both $13/hour and $26 for every sale she completes. during the most recent week, she worked 47 hours and made a total of 71 sales.
Answers
Answer: nice for her
Step-by-step explanation:
Round this number to the
nearest hundredth.
0.7456
Answers
Answer:
0.75
Step-by-step explanation:
it goes tenths hundredths thousandths....
Answer:
0.75
Step-by-step explanation:
4 is the hundredth in this number. The number after 4 is 5. The rule is if its 5 and over you round up and if not, you round down. In this case the number is 5 so we round up. So the number becomes 0.75 instead of 0.74
You start at (1, 3). You move up 2 units and left 6 units. Where do you end?
Answers
Answer:
(-5,5)
Step-by-step explanation:
True or False? If a grapefruit cost
$0.32 in 1984 and $0.64 in 2006,
then it must have cost $0.48 in
1995.
Answers
Answer:
False
Step-by-step explanation:
Without a graph, figure, or any other context the cost of grapefruit in 1995 in not related to the other years by any other facts or figures.
a light is suspended at a height h above the floor. the illumination, i, at a point p is inversely proportional to the square of the distance, r, from the point p to the light and directly proportional to the cosine of the angle theta. assume k is the constant of proportionality. which of the following can be used to represent the illumination at point p? i
Answers
a light is suspended at a height h above the floor. the illumination, i, at a point p is inversely proportional to the square of the distance, r, from the point p to the light and directly proportional to the cosine of the angle theta , I = k cos x / r² can be used to find the illumination at point p.
Light must be at the height of 7.07 for maximum illumination.
I = k cos x / r²
r² = h² + 10²
cos θ = h / [tex]\sqrt{h^{2} +10^{2} }[/tex]
then
I = [tex]k \frac{h}{(h^{2} + 100)^{2/3}}[/tex]
on differentiating, we get,
[tex]\frac{dI}{dh} = k\frac{h^{2} + 100^{3/2 - 3h^{2}(h^{2} + 100 )^{1/2} } }{(h^{2} +100)^{3} }[/tex]
[tex]= k\frac{100 - 2h^{2} }{(h^{2} + 100)^{5/2} } \\\frac{dI}{dh} = 0\\ It gives that \\h = \sqrt{50} = 7.07\\on differentiating again,\\\frac{d^{2} I}{dh^{2} } = k \frac{(6h^{3} - 900h )}{(h^{2} + 100)^{7/2} }[/tex]
for h = 7.07,
[tex]\frac{dI^{2} }{dh^{2} } = -10267.6[/tex]
So , we can conclude that the light must be at the height of 7.07 for maximum illumination.
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Help anyone with both
Answers
The word phrases given can be written in algebraic expressions as:
1. B. 4g
2. B. 6/(x + y).
How to Write an Algebraic Expression?"Product" means multiplication.
"The product of g and 4" can be written as an algebraic expression as: 4 × g = 4g.
"Quotient" means the result you get by dividing a number by another number.
"Sum" means addition, or what you get by adding two quantities together.
Therefore, "the sum of x and y" is written in algebraic expression as: x + y.
Thus, the quotient of 6 and (x + y) would be written in algebraic expression as: 6/(x + y).
Therefore, the word phrases given can be written in algebraic expressions as:
1. B. 4g
2. B. 6/(x + y).
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identify the meanings of the varibles in the point-slope form of a line
Answers
The variables in the point-slope form of a line (x₁,y₁) is a given point on the line, m the slope of the line and (x,y) is any point on the line.
Given that the variables in the point-slope form of a line.
The general form of the equation of a line is y - y₁ = m (x-x₁) where m is the slope of line, y₁ and x₁ is any point on the line
It is an equation of degree one x and y represent the coordinate of the point on the line represented in the coordinate plane
m = slope of the line
The general equation of a line is y = mx + c where
m = slope of line
(x₁ , y₁) = it is the given point on the line as data points are represented as (x₁,y₁) , (x₂,y₂) , (x₃,y₃) and so on
(x ,y) = it is any point line where x is any point on the x-axis and y is any point on y-axis
Hence, the variables in the point-slope form of a line where (x₁,y₁) is a given point on the line, m the slope of the line and (x,y) is any point on the line.
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solve the equation 3x = 21
Answers
Answer:
x = 7
Step-by-step explanation:
3x = 21 ( isolate x by dividing both sides by 3 )
x = 7
Can you help me solve for x in these 3
Answers
C. We know they are vertical angels so they are equal to each other. 10x-26=7x+10. Subtract 7x and add 26. That would give u 3x=36.
X=12
D. We know it’s supplementary which equals 180. 2x+70+101-5x=180. Combine like terms. -3x+171=180. Subtract 171 on both sides. Now it’s -3x=9. Divide by -3 and u get -3.
X=-3
Hope this helps :)
A car salesman earns 1/36 in commission. If he sold a car for $43,000, how much did he earn in commission?
Answers
Answer:
1194 ....................... is the answer
What are the zeros of the polynomial function?
Select all correct zeros of each function.
Answers
The zeroes of the polynomial functions are listed below:
Roots: 2, 3, - 1. Roots: 3, - 2 (multiplicity 2), 1 Roots: 0 (multiplicity 3), 2, - 3.How to determine the zeros of a polynomial
Polynomials are algebraic constructions whose form is summarized by the following sum:
p(x) = ∑ cₙ · xⁿ, for n ∈ {0, 1, ..., m}
An alternative form to describe polynomials is using products of binomials of the form (x - r), where r is a root (zero) of the polynomial. The root of the polynomial is a value such that the result of the expression is equal to zero.
Then, we proceed to find the zeros of each polynomial function:
1) f(x) = 2 · x · (3 - x) · (x + 1). Roots: 2, 3, - 1.
2) f(x) = 2 · (x - 3) · (x + 2)² · (x - 1). Roots: 3, - 2 (multiplicity 2), 1
3) f(x) = x³ · (x - 2) · (x + 3). Roots: 0 (multiplicity 3), 2, - 3.
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Find a vector function that represents the curve of intersection of the two surfaces. the cylinder x 2 y 2 = 4 and the surface z = xy. r(t) = 2cos(t) i j k
Answers
Let [tex]x=2\cos(t)[/tex] and [tex]y=2\sin(t)[/tex], so that
[tex]x^2 + y^2 = 4\cos^2(t) + 4\sin^2(t) = 4[/tex]
is preserved. Then from the surface equation, we get
[tex]z = xy = 4\cos(t)\sin(t) = 2\sin(2t)[/tex]
The curve of intersection is then given by the vector function
[tex]\vec r(t) = 2\cos(t) \, \vec\imath + 2\sin(t)\,\vec\jmath + 2\sin(2t)\,\vec k[/tex]
HURRYY!! BEST ANSWER GETS BRAINLIEST!!
15. The dimensions of a cylindrical can are shown below.
1
10 in.
3 in.
What is the volume of the can, in terms of ?
A. 60 π cubic inches
TL
B. 90 cubic inches
C. 30 π cubic inches
D. 18 π cubic inches
Answers
Answer:
volume of cylinder is πr²h so whatever your radius is then square it multiply by height. don't multiply by pi as it gives it to you in the answer
Question 5 pls help Pre algebra explain your answer
Answers
Answer: -6.62 x 10^-8
Step-by-step explanation:
When sampling from the population of interest, it is a good idea to have a representative sample. True or false?.
Answers
Answer: True, common sense dictates this.
Answer: true
Step-by-step explanation:
Simplify
(2m^3n^2)^5
Answers
[tex] \large \bf \implies{32 {m}^{15} {n}^{10} }[/tex]
Step-by-step explanation:[tex]\bf \longrightarrow{(2m^{3}n^{2})^{5} } \\ \\ \bf \longrightarrow {2}^{5} \times ( {m}^{3})^{5} \times ( {n}^{2})^{5} \\ \\ \bf \longrightarrow32( {m}^{3})^{5}( {n}^{2})^{5} \\ \\ \bf \longrightarrow32 {m}^{15} {n}^{10} [/tex]
Note : We have used the two exponent rules:
[tex](1) \: \: \large \bf \boxed{ \bf \green{(ab)^{n} = {a}^{n} \times {b}^{n} }}[/tex]
[tex](2) \: \: \large \bf \boxed{ \bf \green{(a^{n})^{m} = {a}^{nm} }}[/tex]
To maintain a healthy weight a dog requires 30 calories of food per pound of body weight. if a certain dog weighs 38.45 ibs how many calories would they require
Answers
Step-by-step explanation:
30 cal for 1 lb
x cal for 38.45 lbs
x = 38.45lbs × 30 cals
x = 1153.5 cals
please help need the answer fast
Answers
Answer:
n=7
Step-by-step explanation:
Show full work please
Answers
The temperature in degrees celcius in which bacteria cannot survive is greater than 3.66
Subject of formulaThis is a way of representing a variable with another
Given the inequality below;
q/5 C + 32 ≥ 120
Substitute C = 120oF
q/5(120) + 32 ≥ 120
24q + 32 ≥ 120
24q ≥ 120 - 32
24q ≥ 88
q ≥ 88/24
q ≥ 3.66
Hence the temperature in degrees celcius in which bacteria cannot survive is greater than 3.66
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Please help I need to get this one question right so I can pass my lesson
Answers
Answer:
I think the answer is
Statement A
Step-by-step explanation:
I dont get it pls helpppp ihave ten min left it a test HELP
Answers
Answer:
d. p+1
a negative 1 point something decimal plus one negative decimal.
gl sh awty
What is the five number summary for this data set 9,14,15,18,20,22,29,36,36,42,45,51
Answers
Answer:
Min = 0
Max = 51
M = 25.5
Q1 = 16.5
Q3 = 39
Hope this helps! <3
Which expression is equivalent to this
expression?
√2³
1
2 12
Answers
Answer:
calculators are available
Step-by-step explanation: