Answer:
38°
Step-by-step explanation:
EFGH is an isosceles trapezoid (a trapezoid with two congruent legs is isosceles)
∠HGF=70° (base angles of an isosceles trapezoid are congruent)
∠EGH=32° (angles in a triangle add to 180°)
∠FGE=38° (angle subtraction postulate)
√2n +6=6
n =
Answer?
Answer:
your question is not correct i can not find the answer
(SAT prep) If the lengths of two sides of a triangle are 3 and 5 then the lenght of the third side cannot be:
Answer:
A)
Step-by-step explanation:
3+3=6 6>5
3+5=8 3<8
A)
what is the measure of angle B from the right triangle below ?
Answer:
d
Step-by-step explanation:
using the cosine ratio in the right triangle
cos B = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{2}{10}[/tex] , then
B = [tex]cos^{-1}[/tex] ( [tex]\frac{2}{10}[/tex] ) ≈ 78.46° ( to 2 dec. places )
(a) Descriptive form: The set of natural numbers greater than or equal to 6.
(b) Roster form: (5, 7, 9, 11)
The set of natural numbers greater than or equal to 6 will be 6, 7, 8, 9, 10, ....
How to illustrate the information?It should be noted that the first information is about the set of natural numbers greater than or equal to 6. Therefore, they will be 6 and above.
It should be noted that the descriptive form simply states in words the elements that are in a set. It is the verbal description of the elements in the set. It is the determination of the elements that belong to a set and those that doesn't.
Also, the way that a set is described is known as the roster form. In this case, the contents of a set can be described by listing the elements that are in the set which are separated by a comma inside the bracket.
Also, the roster form: (5, 7, 9, 11) indicates odd natural numbers. The numbers that are given are odd.
Learn more about numbers on:
brainly.com/question/15653848
#SPJ1
a train started from Howrah to Allahabad and another train started from Allahabad for Howrah at the same time. The two trains reached their destinations in 9 hours
The speed ratio of the two trains is 4:3, that is, for every 4 hours that one train is delayed, the other is delayed 3.
How to find the speed ratio of the trains?To find the speed ratio of the trains we must do the following operation:
V1 = [tex]\frac{x}{t} = \frac{l - x }{9}[/tex]V1 = [tex]\frac{x}{l - x} = \frac{t}{9}[/tex]T = [tex]\frac{t}{9} = \frac{16}{t}[/tex]V2 = [tex]\frac{x}{t} = \frac{x}{12}[/tex]V1 : V2 = [tex]\frac{x}{12}[/tex]:[tex]\frac{x}{16}[/tex]Note: This question is incomplete because there is some information missing. Here is the complete information in:
A train started from Howrah for Allahabad another train started from Allahabad for Howrah at the same time. The two trains reached their destinations in 9hours and 16 hours respectively after they meet each other. Find the ratio of speed of the two trains.
Learn more about ratio of speed in: https://brainly.com/question/14811932
#SPJ1
30 points!
based off of the chart,
- what is the probability of mint chocolate chip or female
- what is the probability of cookie and cream and vanilla
Using the probability concept, we have that:
There is a 0.6286 = 62.86% probability that a randomly selected person is female or prefers mint chocolate chip.There is a 0.3714 = 37.14% probability that a randomly selected person prefers cookie and cream or vanilla.What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 35 people, out of which 17 are female and 5 are male that prefer mint chocolate chip, hence:
p = (17 + 5)/35 = 22/35 = 0.6286.
There is a 0.6286 = 62.86% probability that a randomly selected person is female or prefers mint chocolate chip.
Out of the same 35 people, 11 people prefer cookie and cream and 2 people prefer vanilla, hence:
p = (11 + 2)/35 = 13/35 = 0.3714
There is a 0.3714 = 37.14% probability that a randomly selected person prefers cookie and cream or vanilla.
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ1
The graph below shows the value of Edna's profits f(t), in dollars, after t months: graph of quadratic function f of t having x intercepts at 6, 0 and 18, 0, vertex at 12, negative 36, and passes through point 21, 41.25 What is the closest approximate average rate of change for Edna's profits from the 18th month to the 21st month?
The closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is 14
How to determine the average rate of change?From the question, we have the following ordered pairs
x intercepts = (6,0) and (18, 0)
Vertex = (12, -36)
Points (21, 41.25)
The closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is the calculated using
m = [f(21) - f(18)]/[21 - 18]
This becomes
m = [f(21) - f(18)]/3
Substitute the known values in the above equation
m = [41.25 - 0]/3
Evaluate the difference
m = 41.25/3
Evaluate the quotient
m = 13.75
Approximate
m=14
Hence, the closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is 14
Read more about average rate of change at
https://brainly.com/question/8728504
#SPJ1
Complete question
The graph below shows the value of Edna's profits f(t), in dollars, after t months:
What is the closest approximate average rate of change for Edna's profits from the 18th month to the 21st month?
See attachment for graph
Complete the equivalent fraction 3/5 = ?/10
Answer:
Step-by-step explanation:
3/5 = x/10
5x = 30
x = 6
6/10
Hey there!
Original equation:
3/5 = ?/10
Convert to:
3/5 = x/10
Cross multiply the numbers:
3 * 10 = 5 * x
Simplify it:
3 * 10 = 5 * x
30 = 5x
5x = 30
Divide 5 to both sides:
5x/5 = 30/5
Simplify it:
x = 30/5
x = 6
Therefore, your mystery number should be: 6
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Write 636,000 in scientific notation.
HELP ME PLEASE
Find the equation to the line below.
y =
Answer:
[tex]y=\frac{-3}{4}x-3[/tex]
Step-by-step explanation:
This is a linear graph so the equation will be in the format of y=mx+b.
b, the y-intercept, will be -3, as that is where the line crosses the y-axis.
m, the slope, is [tex]\frac{-3}{4}[/tex], calculated from the change in y over the change in x from points (-4,0) to (0,-3).
Now substitute the values in our equation:
[tex]y=\frac{-3}{4}x-3[/tex]
Answer:
y= -3/4+[-3]
Step-by-step explanation:
A TEACHER IS CONSTRUCTING A MATHEMATICS TEST
CONSISTING OF 10 QUESTIONS. SHE HAS A POOL OF 28 QUESTIONS, WHICH ARE
CLASSIFIED BY LEVEL OF DIFFICULTY AS FOLLOWS: 6 DIFFICULT QUESTIONS, 10
AVERAGE QUESTIONS, AND 12 EASY QUESTIONS. HOW MANY DIFFERENT 10
QUESTION TESTS CAN SHE CONSTRUCT FROM THE POOL OF 28 QUESTIONS IF
HER TEST IS TO HAVE 3 DIFFICULT, 4 AVERAGE, AND 3 EASY QUESTIONS?
The number of ways of constructing questions from the pool of 28 questions if her test is to have 3 difficult, 4 average and 3 easy questions is 924, 000 ways
How to determine the combinationNote that the formula for combination is given as;
Combination = [tex]\frac{n!}{r!(n-r)!}[/tex]
From the information we have that;
There are 28 questions in the pool
The test should have a total of 10 questions;
6 difficult , 10 average and 12 easy questions
We are asked to determine the combination of;
3 difficult questions
4 average questions
3 easy questions
6C3 = [tex]\frac{6!}{3!(6-3)!}[/tex]
6C3 = [tex]\frac{720}{36}[/tex]
6C3 = 20
10C4 = [tex]\frac{10!}{4!(10-4)!}[/tex]
10C4 = [tex]\frac{3628800}{17280}[/tex]
10C4 = 210
12C4 = [tex]\frac{12!}{4!(12-4)!}[/tex]
12C4 = 220
The number of ways of constructing the questions is
= 20 × 210 × 220
= 924, 000 ways
Thus, the number of ways of constructing questions from the pool of 28 questions if her test is to have 3 difficult, 4 average and 3 easy questions is 924, 000 ways
Learn more about combination here:
https://brainly.com/question/4658834
#SPJ1
Ms. Callahan had 250 sheets of paper. She used 6 sheets of paper. She then gave each student 3 sheets of paper. Which expression represents the number of sheets of paper Ms. Callahan had left after she gave paper to n students?
Answer:
250 - 6 - 3n
Step-by-step explanation:
Let n equal the number of students.
Find the solution of the system of equations
shown on the graph.
Answer: (0,6)
Step-by-step explanation:
The solution is where the graphs intersect.
simplify (-243)^-3/5
The expression, [tex](-243)^{-3/5}[/tex] on simplification using the laws of the exponent can be written as - (1/27).
Exponents are of the form aˣ, read as " a to the power x", function as a multiplied by itself x number of times, and are used in a numerical and algebraic expression.
To simplify these expressions, we use the following laws of the exponents:
[tex]1. a^m.a^n = a^{m + n}\\2.\frac{a^m}{a^n} = a^{m-n}\\ 3. (a^m)^n = a^{mn}\\4. a^{-m} = \frac{1}{a^m}\\5. a^0 = 1[/tex]
In the question, we are asked to simplify the expression, [tex](-243)^{-3/5}[/tex].
The expression can be solved using the laws of exponent as follows:
[tex](-243)^{-3/5}\\[/tex]
= [tex]((-3)^5)^{-3/5}[/tex]
= [tex](-3)^{-3}[/tex] {Using the law of exponent: [tex](a^m)^n = a^{mn}[/tex]}
= [tex]\frac{1}{-3^3}[/tex] {Using the law of exponent: [tex]a^{-m} = \frac{1}{a^m}[/tex]}
= 1/(-27)
= - (1/27).
Thus, the expression, [tex](-243)^{-3/5}[/tex] on simplification using the laws of exponent can be written as - (1/27).
Learn more about laws of exponents at
https://brainly.com/question/8244767
#SPJ1
One hundred dollars less
than twice last year's
income?
Answer:
2y - 100
Step-by-step explanation:
Last year's income = y
2y-100
The question is in the picture
Answer:
16
Step-by-step explanation:
18,903
1. Suppose Robin borrowed $3,600 on October 21 and repaid the loan on February 21 of the
following year. What simple interest rate was charged if Robin repaid $3,694.63?
well, keeping in mind that a year has 365 years, so let's see
[tex]\stackrel{Oct}{10}~~ + ~~\stackrel{Nov}{30}~~ + ~~\stackrel{Dec}{31}~~ + ~~\stackrel{Jan}{31}~~ + ~~\stackrel{Feb}{21}\implies 123~days[/tex]
so the 3600 were borrowed for only 123 days of a year, that'd be 123/365 of a year, thus
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$3694.63\\ P=\textit{original amount deposited}\dotfill & \$3600\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &\frac{123}{365} \end{cases}[/tex]
[tex]3694.63=3600[1+(\frac{r}{100})(\frac{123}{365})]\implies \cfrac{3694.63}{3600}=1+\cfrac{123r}{36500} \\\\\\ \cfrac{3694.63}{3600}-1=\cfrac{123r}{36500}\implies \left( \cfrac{36500}{123} \right)\left( \cfrac{3694.63}{3600}-1 \right)=r\implies \stackrel{\%}{7.8}\approx r[/tex]
7.8% is the simple interest rate was charged if Robin repaid $3,694.63.
What is simple InterestSimple interest is based on the principal amount of a loan or the first deposit in a savings account.
A=P(1+rt)
A is final amount, P is principle amount, r is rate of interest and t is time.
We know that in a year we have 365 days.
But the time here is from oct 21 to feb 21, which has 123 days.
so the 3600 were borrowed for only 123 days of a year, that'd be 123/365 of a year, thus
Apply these values in formula
A=P(1+rt)
3694.63=3600(1+r/100(123/365))
3694.63=3600(1+123r/36500)
3694.63/3600=1+123r/36500
3694.63/3600-1=123r/36500
(3694.63-3600)/3600=123r/36500
94.63/3600=123r/36500
Apply cross multiplication
3453995=442800r
7.80=r
Hence 7.8% is the simple interest rate was charged if Robin repaid $3,694.63.
To learn more on simple interest click:
https://brainly.com/question/25845758
#SPJ2
How to solve these questions?
(with work)
The angles and length of the triangle area as follows:
∠CBD = 61°∠A = 35°AD = 32.77 unitsBD = 22.94 unitsBC = 11.12 unitsCD = 9.73 unitsHow to find the sides and angle of a triangle?The sum of angles in a triangle is 180 degree.
Therefore,
∠DBC = 180 - 29 - 90 = 61°
Hence,
∠A = 180 - 29 - 61 - 55 = 35°
∠CBD = 61°
Using trigonometric ratios,
sin 55 = opposite / hypotenuse
sin 55 = AD / 40
AD = 40 sin 55
AD = 32.7660817716
AD = 32.77 units
cos 55 = adjacent / hypotenuse
cos 55 = BD / 40
BD = 40 cos 55
BD = 22.943057454
BD = 22.94 units
sin 29 = 22.94 / BC
BC = 22.94 sin 29
BC = 11.1215326885
BC = 11.12 units
cos 29 = CD / 11.12
CD = 11.12 cos 29
CD = 9.72577114339
CD = 9.73 units
learn more on triangle here: https://brainly.com/question/17307037
#SPJ1
4899 x 67 show your work
Answer:
328,233
Step-by-step explanation:
Use the algorithm method.
4 8 9 9
× 6 7
3 6 6 6
3 4 2 9 3
2 5 5 5
2 9 3 9 4 0
1 1 1
3 2 8 2 3 3
⇒ 328,233
X=y
Y=x
Is this is inverse equation
The inverse equation of x = y is y = x
What are inverse equations?Inverse equations are the opposite of an original equation
How to determine the inverse equation?The equation is given as
x = y
Swap the positions of x and y in the above equation
y = x
This means that the inverse equation of x = y is y = x
Read more about inverse equations at:
https://brainly.com/question/14391067
#SPJ1
Match each statement (term) with its value in relation to 0 (definition).
Match Term Definition
A building is 37 feet tall. A) –13.7
The scuba diver was 37 feet below sea level. B) 2.5
The basement is 13.7 feet below ground. C) −37
Oliver owes his sister $25. D) 37
Erica jumped 2.5 feet above the ground. E) –25
The statements with their correct matches in relation to 0 are:
A building is 37 feet tall - 37The scuba diver was 37 feet below sea level = −37The basement is 13.7 feet below ground = –13.7Oliver owes his sister $25 = -25Erica jumped 2.5 feet above the ground = 2.5 What are the values in relation to 0?When a building is 37 feet tall, it means that if 0 feet was the ground level, the building would be 37 higher than 0. This is the same for the basement which will be -13.7 in relation to a ground level of 0.
Erica jumping 2.5 feet above the ground is 2.5 in relation to 0feet and the scuba driver is -37 by the same relation to 0 feet.
Oliver owes his sister $25 which means that in relation to a state of no debt or $0, Oliver is -25 deep in debt.
Find out more on elevations in relation to ground level at https://brainly.com/question/88158
#SPJ1
Which of the following describes the transformations of g (x) = negative (2) Superscript x + 4 Baseline minus 2 from the parent function f (x) = 2 Superscript x?
Using translation concepts, the transformations are described as follows:
Reflection over the x-axis.Shifted up 4 units.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
In this problem, the parent function is:
[tex]f(x) = 2^x[/tex]
The transformed function is:
[tex]g(x) = -2^x + 4[/tex]
We have that the transformations in this problem can be described as follows:
f(x) was multiplied by -1, hence it was reflected over the x-axis.4 was added to the function, hence it was shifted up 4 units.More can be learned about translation concepts at https://brainly.com/question/28098112
#SPJ1
Factor x² - 4x + 5.
Prime
O(x + 5)(x - 1)
O(x - 5)(x - 1)
(x+5)(x + 1)
Answer:
(x-5)(x+1)
Step-by-step explanation:
x² - 4x + 5 = (x-5)(x+1)
a linear equation is an equation whose graph is a straight lina
The statement that a linear equation is an equation whose graph is a straight line is True.
What is a linear equation?A linear equation can be defined as an algebraic equation with each term having an exponent and the graphing of the equation results in a straight line.
From the definition, it can be deduced that the statement is True.
Thus, the statement that a linear equation is an equation whose graph is a straight line is True.
The complete question is:
True or false
A linear equation is an equation whose graph is a straight line.
Learn more about linear equations here:
https://brainly.com/question/14323743
#SPJ1
Which linear inequality is represented by the graph?
y ≤ One-thirdx − 1
y ≥ One-thirdx − 1
y < 3x − 1
y > 3x − 1
Tthe inequality that describes this graph is y ≤ 1/3x - 4/3
How to determine the linear inequality represented by the graph?The graph that completes the question is added as an attachment
From the attached graph, we have the following points
(0, -1.3) and (3, -0.3)
The slope is calculated as:
m = (y2 - y1)/(x2 - x1)
Substitute the known values in the above equation
m = (-0.3 + 1.3)/(3 - 0)
Evaluate
m = 1/3
The equation is then calculated as:
y = m(x - x1) + y1
This gives
y = 1/3(x - 0) - 1.3
Evaluate
y = 1/3x - 4/3
From the graph, we have the following highlights:
The line of the graph is a closed lineThe upper part is shadedThe first highlight above implies, the inequality can be any of ≥ and ≤
While the second highlight above implies, the inequality is ≤
Hence, the inequality that describes this graph is y ≤ 1/3x - 4/3
Read more about inequality at
brainly.com/question/24372553
#SPJ1
Establish the identity.
(2 cos 0-6 sin 0)² + (6 cos 0+2 sin 0)2 = 40
Rewriting the left-hand side as follows,
[tex](2\cos\theta-6\sin \theta)^2 +(6\cos \theta+2\sin \theta)^2\\\\=4\cos^2 \theta-24\cos \theta \sin \theta+36 \sin^2 \theta+36 \cos^2 \theta+24 \cos \theta \sin \theta+4 \sin^2 \theta\\\\=40\cos^2 \theta+40 \sin^2 \theta\\\\=40(\cos^2 \theta+\sin^2 \theta)\\\\=40[/tex]
what is the difference between d and 7?
Answer:
d - 7
Step-by-step explanation:
The word "difference" tells us that we will be using subtraction. Also, subtraction is not the same if you reverse the terms like, x - 2 and 2 - x are not the same. In your question it say "d and 7" so that's the order we use in the algebraic expression.
PLEASE HELP
Determine which quadratic equation reveals its maximum or minimum value without changing the form of the equation.
y=x² + 4x-3
y = -3(x+4)² + 1
y=(x-9)(x + 7)
y=2x²-5x+4-10
y=x²+(3+1)x-3
y=x²+3x+1x-3
y=x(x+3)-1(x+3)
y=(x-1)(x+3)
Can you get out of jail within 3 days or 7 days or at least 2 weeks or are they just lying about being in jail to begin with?
Answer:
you better give me brainliest
Step-by-step explanation:
i think they are lying about being in jail
PLWASW HELP ALOT OF POINTS Charlie used construction paper, scissors and a ruler to construct an
isosceles triangle with a pair of sides each 3 inches long and an acute
angle on top. He drew an altitude from the acute angle to the base and
wrote down his observations. He then created another isosceles triangle
with a pair of sides of 7 inches long with an obtuse angle on top, drew a
altitude to the base, and recorded his observations.
Which of these is the best conjecture for Charlie to develop?
The best conjecture for Charlie to develop is that an altitude drawn to the base of the isosceles triangle creates the smaller congruent triangles by the HL postulate.
What is conjecture?It should be noted that conjecture simply means a conclusion that's proffered on a tentative basis without any proof.
From the information, Charlie used construction paper, scissors and a ruler to construct an isosceles triangle with a pair of sides each 3 inches long and an acute angle on top.
Here, the best conjecture for Charlie to develop is that an altitude drawn to the base of the isosceles triangle creates the smaller congruent triangles by the HL postulate.
Learn more about conjecture on:
brainly.com/question/24813201
#SPJ1