Answers
Step-by-step explanation:
PART 1:
on the graph you can make a triangle at any point and with any angle measures.
i recommend a smaller right triangle to be easiest.
i recommend the points (0,3) A (3,0) B and (0,0) C
∆ABC angle measurements:
m∠CAB=45°
m∠ABC=45°
m∠ACB=90°
PART 2:
(4,3) D (7,0) E and (4,0) F make an identical right triangle moved 4 squares to the right
m∠FDE=45°
m∠DEF=45°
to find the missing value of the angle EFD we will use subtraction and addition
180-(45+45)
180-90
90
therefore, the m∠EFD=90°
PART 3:
both the angle measures and the shapes of the triangles are the same
PART 4:
i used a 1:1 ratio
sorry for the wait :)
Related Questions
On a coordinate plane, a dashed solid line has an equation of y less-than five-thirds x + 1. It has a positive slope and goes through (negative 3, negative 4) and (0, 1). Everything to the right of the line is shaded.
Which linear inequality will not have a shared solution set with the graphed linear inequality?
y < Five-thirdsx – 2
y < Negative five-thirdsx + 1
y > Five-thirdsx + 2
y > Negative five-thirdsx + 2
Answers
The inequality is represented by y < 5/3(x+1)
Use the information about the straight line and find the equation of the line.
Given coordinates (-3,-4) and (0,1), we can find the slope
Slope,
Change in y = y2 – y1 = 1-(-4) = 5
Change in x = x2 – x1 = 0-(-3) = 3
Therefore, Slope (m) = Change in y / Change in x = 5/3
Equation of line using m = 5/3 and points (0,1) and (x, y) in form of y = mx + c
Y – 1/ X – 0 =5/3
3(Y-1) = 5(X)
3Y -3 = 5X
3Y = 5X + 3
Y = 5X + 3/3
Y = 5/3(X + 1)
To find the inequality take a point in the shaded region and check it in the above equation.
Given Options
a. y < Five-thirds x – 2
b. y < Negative five-thirds x + 1
c. y > Five-thirds x + 2
d. y > Negative five-thirds x + 2
Let’s take points (-3,-4) for verification
Option a: y < 5/3 (x-2)
-4 < 5/3(-3-2)
--4 < -3.33
-4 is less than -3.33
Thus option a is in the shaded region
Option b: y < -5/3 (x+1)
-4 < -5/3(-3+1)
--4 < 3.33
-4 is less than 3.33
Thus option a is in the shaded region
Option c: y > 5/3 (x+2)
-4 > 5/3(-3+2)
--4 > -1.67
-4 is NOT GREATER than -1.67
Thus option c is NOT in the shaded region
Option d: y > -5/3 (x+2)
-4 > - 5/3(-3+2)
--4 > 1.67
-4 is NOT GREATER than 1.67
Thus option d is NOT in the shaded region
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Answer:
y > Five-thirdsx + 2
Step-by-step explanation:
Solve the compound inequality .
2w-2<-8 and 4w+3<11
Write the solution in interval notation. If there is no solution, enter 0
Answers
Answer: [tex](-\infty, -3)[/tex]
Step-by-step explanation:
[tex]2w-2 < -8\\\\2w < -6\\\\w < -3[/tex]
[tex]4w+3 < 11\\\\4w < 8\\\\w < 2[/tex]
So, the solution is [tex](-\infty, -3)[/tex]
If a population of a town is recorded at 1,200 in the year 2000 and the population increases by exactly 50 people each year, what will be the population of the town in 2018? Be careful to treat the year 2000 as the beginning; let x be the number of years since the year 2000.
The answer is not 2,100
Answers
The population at the end of the year 2018 will be 2150.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that:-
If a population of a town is recorded at 1,200 in the year 2000 and the population increases by exactly 50 people each year, what will be the population of the town in 2018.
The population will be calculated as the year 2000 is also considered:-
P = Total years x Increase per year
P = 19 x 50
P = 2150
Therefore the population at the end of the year 2018 will be 2150.
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Which of the following is correct based on this picture?
Answers
B. none of these are correct
Question 13 of 50
Choose two statements (the original conditional statement and its converse)
that could form the biconditional "The object weighs a ton if and only if the
scale reads 2000 pounds."
A. If the object weighs a ton, then the scale reads 2000 pounds.
B. If the scale does not read 2000 pounds, then the object does not
weigh 2000 pounds.
C. If the scale reads 2000 pounds, then the object weighs a ton.
D. The scale reads 2000 pounds if and only if the object weighs a
ton.
it can be more then one answer too
Answers
Conditional statements are ones that begin with a hypothesis and end with a conclusion. The correct option is A and C.
What are conditional Statements?Conditional statements are ones that begin with a hypothesis and end with a conclusion. It is sometimes referred to as a "If-then" statement. If the hypothesis is correct but the conclusion is incorrect, the conditional statement is incorrect.
The two statements that among which one is original and the other one is its converse is If the object weighs a ton, then the scale reads 2000 pounds, and If the scale reads 2000 pounds, then the object weighs a ton.
Hence, the correct option is A and C.
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In our QR class, 43% live in Massachusetts. Of the Massachusetts residents, 67% live in
Boston. What percentage of the class lives in Boston?
Answers
Answer:
The answer will be 63%.
Step-by-step explanation:
they have all ready mentioned that.
Please help asap! 30 points
Given that f(x)=11, g(x)=x^2-6x+3, and h(x)= -x+4, find the function (g •h)(x).
Answers
Answer:
[tex](g \cdot h)(x)=x^2-2x+23[/tex]
Step-by-step explanation:
For composite functions, it's important to understand what the functions mean:
[tex](g\cdot h)(x)[/tex] which is read as "g of h, of x" means [tex]g ( \text{ }h(x) \text{ })[/tex] which is read as "g of, h of x" (with slight pauses at the comma). This means that x goes into the h function, and the output of the h function goes into the g function.
Putting "x" into the h function
[tex]h(x)=-x+4[/tex]
Since it is just "x" going into the h function, the function as written is the output when x is the input.
Putting the h function output, into the g function
[tex]g(x)=x^2-6x+3[/tex]
[tex]g(h(x))=(h(x))^2-6(h(x))+3[/tex]
Substitute
[tex]g(h(x))=(-x+4)^2+-6(-x+4)+3[/tex]
Squaring means the something multiplied by itself
[tex]g(h(x))=(-x+4)*(-x+4)+-6(-x+4)+3[/tex]
Use distributive property; (some people know binomial distribution as "FOIL" -- First, Outer, Inner, Last):
[tex]g(h(x))=[(-x)(-x)+4(-x)+4(-x)+4*4)]+[6x+4]+3[/tex]
Simplify the binomial terms:
[tex]g(h(x))=[x^2-8x+16]+[6x+4]+3[/tex]
Group like terms:
[tex]g(h(x))=x^2-2x+23[/tex]
Remember that [tex](g\cdot h)(x)[/tex] means [tex]g ( \text{ }h(x) \text{ })[/tex]
[tex](g \cdot h)(x)=x^2-2x+23[/tex]
So, [tex](g \cdot h)(x)=x^2-2x+23[/tex]
the length of a rectangle is 5 cm less than 3 times its width. The perimeter is 62 cm.
What is the length?
Answers
Answer:
length=22 [cm].
Step-by-step explanation:
1) if the length is 'l' and the width is 'w', then it is possible
2) to write the given perimeter: 62=2(l+w), - this is the 1st equation of system;
3) to write the condition 'the length of a rectangle is 5 cm less than 3 times its width' as 3w-5=l, - this is the 2d equation of the system.
4) using two equations above it is possible to make up the next system:
[tex]\left \{ {{2(w+l)=62} \atop {3w-5=l}} \right. \ = > \ \left \{ {{w+l=31} \atop {3w-l=5}} \right. \ = > \ \left \{ {{l=22} \atop {w=9}} \right.[/tex]
5) finally, the length=22 [cm].
The pH can be calculated using the equation pH = –log(H+), where H+ is the hydronium ion concentration. Find the hydronium ion concentration of a particular soda if the pH level is 2.3.
Answers
Answer:
Step-by-step explanationp :
ph =lo 4
At a soccer game, a vendor sold a combined total of 220 sodas and hot dogs. The number of sodas sold was 46 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.
Answers
Answer:
133 sodas
87 hot dogs
I've completed the work in the photo, just trying to reach the letter count lol
The mean of 6 numbers is 17. Four of the numbers are 15, 17, 20, and 22. The remaining two numbers are each equal to x. Calculate the sum of the 06 numbers and the value of x.
Answers
Answer:
Sum of 6 no. = 102X = 14
Let the unknown no. be X
mean= sum of all no. / no. of terms
17 = 15 + 17 + 20 + 22 + X+ X / 6
17 * 6 = 74 + 2X
102 - 74 = 2X
28 = 2X
28/2 = X
14= X
In the following answer, why does 830 convert to 83000?
Answer:
Money borrowed from insurance company = $1000
Step-by-step explanation:
Let the money borrowed by her friend at 8% interest = x
Then the money borrowed by bank at 9% interest = 2x
Total money borrowed = $10,000
So, the money borrowed from insurance company = 10,000-(2x+x)
= 10,000-3x
Total interest for the first year = $830
We have the equation,
8%(x) + 9%(2x) +5% (10,000-3x) = 830
8x+18x+50,000-15x = 83,000
11x = 83000-50000
11x = 33,000
x = $3000
Then the money borrowed insurance company = 10,000-3x
= $1,000
Answers
Then the money borrowed insurance company is $1,000.
Money borrowed from insurance company = $1000
Let the money borrowed by her friend at 8% interest = x
Then the money borrowed by the bank at 9% interest = 2x
What is the total money?Total money borrowed = $10,000
So, the money borrowed from the insurance company = 10,000-(2x+x)
= 10,000-3x
Total interest for the first year = $830
We have the equation,
8%(x) + 9%(2x) +5% (10,000-3x) = 830
8x+18x+50,000-15x = 83,000
11x = 83000-50000
11x = 33,000
x = $3000
Then the money borrowed insurance company = 10,000-3x
Then the money borrowed insurance company is $1,000.
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A Cepheid star is a type of variable star, which means that its brightness is not constant.
The relationship between the brightness of a Cepheid star and its period, or length of its pulse, is given by
M = − 2.78 (log P) − 1.35,
where M is the absolute magnitude, or brightness, of the star, and P is the number of days required for the star to complete one cycle.
Use a calculator to solve each problem. Round your answers to the nearest hundredth.
What is the absolute magnitude of a star that has a period of 62 days?
Answers
A function assigns the values. The absolute magnitude of a star that has a period of 62 days is -6.3328.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The relationship between the brightness of a Cepheid star and its period, or length of its pulse, is given by
M = − 2.78 (log P) − 1.35,
Given the absolute magnitude of a star that has a period of 62 days is,
M = − 2.78 (log 62) − 1.35
M = -6.3328
Hence, the absolute magnitude of a star that has a period of 62 days is -6.3328.
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When filling your gas tank, if you pay c dollars for g gallons of gas, you have the following table.
Choose all of the following statements that are true.
a.
The domain is {4, 8, 11, 15}.
b.
An 11 gallon tank would cost $44.00 to fill completely.
c.
A 9.1 gallon fill-up would cost $35.49.
d.
A 12 gallon tank would cost $47.40 to fill completely.
Answers
Option D statement "A 12-gallon tank would cost $47.40 to fill completely" is true.
What is a domain?The whole of the independent variable's possible values makes up the domain of a function.
For the given data we need to find which of the given statements are true.
From option A:
The domain is {4, 8, 11, 15}.
The domain is all possible x values so this would be 0 to infinity as you can pay for more gallons not just to that certain set of numbers.
Therefore, option A is False.
From option B:
An 11-gallon tank would cost $44.00 to fill completely.
From the given table we can see that 11-gallon tank costs $43.45.
Therefore, option B is False.
From option C:
A 9.1-gallon fill-up would cost $35.49.
To find 9.1 gallons we need to find the cost of 1-gallon.
That is, 15.80/4 = $3.95 (Given in the table)
Now the cost of 9.1 gallon tank is $3.95 x 9.1 = $35.95 not $35.49
Therefore, option C is False.
From option D:
A 12-gallon tank would cost $47.40 to fill completely.
We found that 1 gallon is $3.95.
$3.95 x 12 = $47.40
Therefore, option D is True.
Hence, from the given statements option D is True.
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i give brainliest to first person who gets it correct
Answers
Answer:
(-4,-3)
Step-by-step explanation:
The point where those 2 equations intersect is (-4,-3)
What is the square root of -1? Complex numbers
Answers
Answer:
The square root of -1 is i
Step-by-step explanation:
"i" is the imaginary unit and represents the value of sqrt -1
Please need the answer ASAP for number 3!!!!
Answers
Answer:
second and fourth option
Step-by-step explanation:
the discriminant of a quadratic equation is the easiest way to know how many solutions there will be
(discriminant: b²- 4ac)
{a discriminant of 0 means 1 solution; discriminant < 0 means no real roots, discriminant > 0 means two real roots }
so, we can quickly run b² - 4ac for each equation provided:
(note: ax² + bx + c is the formatting we use to find a, b, and c)
8² - 4(-9)(-8)
64 - 288 = -224
4² - (4)(1)(4)
16 - 16 = 0
-1² - (4)(-10)(-9)
-1 - 360 = -361
-6² - (4)(3)(3)
36 - 36 = 0
So, because the second and fourth options listed have a discriminant of 0, they have 1 real solution
hope this helps!! have a lovely day :)
Based on the circle graph,how many pounds of milk and eggs does the average American consume each year?PLEASE EXPLAIN IMAGE IS PROVIDED
E.300
F.368
G.460
H.552
Answers
About 492 pounds of milk and egg were consumed each year
Pie charts and percentagesGiven the following parameters from the chart
Total consumption = 1640 pounds per person
The percentage of milk and egg = 100 -(38 + 10 + 10 +8 + 4)
The percentage of milk and egg = 30%
Determine the amount consumed each year
Amount of milk and egg consumed = 30% of 1640
Amount of milk and egg consumed = 492 pounds
Hence about 492 pounds of milk and egg were consumed each year
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Addison and Kelsey are running on a path modeled by x2 + y2 – 14x – 16y – 287 = 0, where the distance is in meters. What is the maximum distance between the runners at any given time?
20 meters
32 meters
40 meters
140 meters
Answers
Answer:
40 meters
Step-by-step explanation:
The maximum distance between the runners at any given time 40 meters. Therefore, option C is the correct answer.
Given that, Addison and Kelsey are running on a path modeled by x² + y² - 14x - 16y - 287 = 0.
What is a circle equation?The equation of circle provides an algebraic way to describe a circle, given the center and the length of the radius of a circle. The equation of a circle is different from the formulas that are used to calculate the area or the circumference of a circle.
The standard equation of a circle with center at (x1,y1) and radius r is (x-x1)²+(y-y1)²=r²
Here, the circular path is modeled by x² + y² - 14x - 16y - 287 = 0
We complete the squares to place it in the standard format, thus:
x² - 14x + 49 + y² - 16y +64 = 287+49+64
⇒ (x-7)² + (y-8)² = 400
⇒ (x-7)² + (y-8)² = 20²
So, r² = 20²
⇒ r = 20 meters
Maximum distance = d = 2r
= 40 meters
The maximum distance between the runners at any given time 40 meters. Therefore, option C is the correct answer.
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Which expression is equivalent?
Answers
Answer:
Last one/D 9^9/5/5^9/10
Step-by-step explanation:
Help me please, geometry
Answers
Answer:
x = 19.5 (nearest tenth)
Step-by-step explanation:
Trigonometric ratios
[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angle
O is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)Use the cos ratio to find the measure of the altitude (the perpendicular drawn from the vertex of the triangle to the opposite side):
[tex]\implies \cos(47^{\circ})=\dfrac{a}{18}[/tex]
[tex]\implies a=18\cos(47^{\circ})[/tex]
Now use the sin ratio to the the measure of side x:
[tex]\implies \sin(39^{\circ})=\dfrac{a}{x}[/tex]
[tex]\implies x=\dfrac{a}{\sin(39^{\circ})}[/tex]
[tex]\implies x=\dfrac{18\cos(47^{\circ})}{\sin(39^{\circ})}[/tex]
[tex]\implies x=19.50671018[/tex]
Therefore, x = 19.5 (nearest tenth)
Fill in the blanks below.
Find the slope of the line passing through the points (8,5) and (8,-4).
Answers
Step-by-step explanation:
please mark me as brainlest
Please help, will give the brainliest!
(J) 80 • 125
(K) (80+65) • 125
(L) (65 • 80) + (80 • 60)
M (65•80)+(80•60)
N (65•80)+ 1/2 (125 • 100)
Answers
Answer:
option N is the correct option, apply Formula of area of rectangle and triangle by splitting figure into 2 parts
Waiting for answer, could u help?
Answers
Answer:
The practical domain of function is , Roscoe can ride his bike only from 10 miles to 30 miles.
Domain of function is defined as the set of input values for which the function is defined i.e. the set of its possible inputs,
The amount of time it takes for Roscoe to ride his bike m miles is represented by a function.
Where m represent, number of miles he can ride.
Above function is defined for every value of m . But in question it is mention that Roscoe rides his bike at least 10 miles but not more than 30 miles.
Therefore, Domain of function is from 10 miles to 30 miles
Step-by-step explanation:
1. What is pi?
2. And why is it important?
Answers
Answer:
pi [π] is the ratio of a circle's circumference to its diameter, and it is constant [meaning it is always the case] for all circles.
{this is a long number, 3.141592653589793238... is not even the full length, but 3.14 [or 3.14159] is typically used for estimation}
The significance of pi is typically centered in math--it can be used to find values that we don't know of circles. There are other areas of math that have been related back to the value of pi--which is incredible, and genuinely relevant.
We can find pi in the shape of rivers, physics--including waves--DNA
[+ anywhere there is a circle]
hope this helps!! :)
Answer:
ratio of circle's circumference to diameter
it is constant
Find the average of the numbers 6 4/7, 1 5/56, 9 1/7, 3 5/8. Write the solution as a mixed number or a fraction in lowest terms.
Answers
Answer:
[tex]\frac{187}{112}[/tex]
Step-by-step explanation:
Just add them all up in the calculator and divide by the number of numbers, which in this case is 4
Step-by-step explanation:
follow the steps in the attached
Figure ABCD is transformed to obtain figure A′B′C′D′:
DIAGRAM INCLUDED! 100 Points!
Part A: Write the sequence of transformations that changes figure ABCD to figure A′B′C′D′. Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points)
Part B: Are the two figures congruent? Explain your answer. (4 points)
Answers
Answer:
Part A
Reflect over the y-axis: (x, y) → (-x, y)A (-4, 4) → (4, 4)
B (-2, 2) → (2, 2)
C (-2, -1) → (2, -1)
D (-4, 1) → (4, 1)
Shift 4 units down: (x, y-4)
(4, 4-4) → A' (4, 0)
(2, 2-4) → B' (2, -2)
(2, -1-4) → C' (2, -5)
(4, 1-4) → D' (4, -3)
Part B
Two figures are congruent if they have the same shape and size. (They are allowed to be rotated, reflected and translated, but not resized).
Therefore, ABCD and A'B'C'D' are congruent. They are the same shape and size as they have only be reflected and translated.
On a unit circle, Ø = 60°. Identify the terminal point and Tan Ø
Answers
The terminal points when the value of r is 1 will be 0.5 and 0.86 and the value of tan 60 will be 1.732.
What is angle measurement?An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).
Given;
Ø = 60°
Let's assume the value of r = 1 units
The terminal points are;
x= rcosΘ
x=1 × cos 60°
x=0.5
y=rsinΘ
y=rsin60°
y = 0.86
The terminal points when the value of r is 1 will be 0.5 and 0.86.
The value of the tan for the given value of the angle;
Tan 60° = 1.732
Hence, the terminal points when the value of r is 1 will be 0.5 and 0.86 and the value of tan 60 will be 1.732.
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Simplify the following expression. (2x − 1)(3x + 2) Simplify the following expression . ( 2x − 1 ) ( 3x + 2 )
Answers
=6x^2+x-2
4x² + 24x + 20
common factor =
