Answer:
c: triangle ABC is congruent to DEF
Step-by-step explanation:
find the triangle with the same side lengths and angle measurements to the given triangle.
The true statement is DEF= ABC
Thus, option (C) is correct.
As, per the figure Triangle DEF.
<DFE= 23
<DEF = 67
<EDF = 90
ED= 5 unit
EF = 13 unit
DF = 12 unit
Now, to find the congruent triangle to DEF.
Look for the triangle which same angles and sides as triangle DEF.
So, In Triangle ABC.
<CBA= 23
<CBA = 67
<BAC = 90
AB= 5 unit
CB= 13 unit
CA= 12 unit
Therefore, the statement is DEF= ABC
Thus, option (C) is correct.
Learn more about Congruency here:
https://brainly.com/question/31992651
#SPJ4
1.1. How many m³ = are there in 3( mile )³
1.2. How many gal/min correspond to 5ft³ /s. 1.3. Convert the following: 9.50 cm to nm/sec² (5)
Using the conversion factors, we find that 3 cubic miles is approximately equal to 1.2504543 × 10^10 cubic meters. 5 cubic feet per second is equal to 2244.156 gallons per minute. 9.50 centimeters is equal to 9.50 * 10^7 nanometers per second squared.
1.1. One mile is equal to 1609.34 meters. Since we're dealing with cubic units, we cube the conversion factor.
1 mile = 1609.34 meters
1 mile³ = (1609.34 meters)³ = 4.168181 × 10^9 cubic meters
Therefore, 3 cubic miles is equal to 3 * 4.168181 × 10^9 cubic meters, which is approximately 1.2504543 × 10^10 cubic meters.
1.2. To convert from cubic feet per second (ft³/s) to gallons per minute (gal/min), we use the appropriate conversion factors.
Here are the conversion factors:
1 cubic foot = 7.48052 gallons
1 minute = 60 seconds
So, we set up the conversion as follows:
5 ft³/s * 7.48052 gal/ft³ * 60 s/min = 2244.156 gal/min
Therefore, 5 cubic feet per second is equal to 2244.156 gallons per minute.
1.3. To convert centimeters (cm) to nanometers per second squared (nm/sec²), we use the appropriate conversion factors. Here are the conversion factors:
1 centimeter = 10^7 nanometers
1 second = 1 second
So, we set up the conversion as follows:
9.50 cm * (10^7 nm/cm) / (1 sec)² = 9.50 * 10^7 nm/sec²
Therefore, 9.50 centimeters is equal to 9.50 * 10^7 nanometers per second squared.
To know more about conversion factors, refer to the link :
https://brainly.com/question/30567263#
#SPJ11
Two thirds of twenty-two
Answer:
44/3 or 14 2/3
Step-by-step explanation:
22 * 2/3
= 44/3
Please answer all of them! SHOW WORK!!
Can someone help really fast with this question
The answer that describes the polygon RSTU is as follows:
QuadrilateralTrapezoidHow to find a quadrilateral?A quadrilateral is a polygon with 4 sides. Therefore, let's use the properties to find the name of the shape RSTU as follows:
The polygon has 4 sides therefore, it is a quadrilateral.
The quadrilateral has opposite side parallel to each other. The opposite sides are RS and TU.
A trapezoid is a quadrilateral with only one pair of opposite side parallel to each other.
Therefore, the shapes that defines the polygon are as follows:
QuadrilateralTrapezoidlearn more on quadrilaterals here: https://brainly.com/question/30364800
#SPJ1
Anyone wanna help?please
Answer:
x=14
Step-by-step explanation:
(8x-4)+(6x-12)=180
14x-16=180
14x=196
x=14
Find the y-intercept and the slope of the line. 5x-y=1
btw please show work, and u will get brainliest
Answer:
x= 1 and y =4
Step-by-step explanation:
5 x 1=5- 4 = 1.
To solve the equation above, one should find all the values of variable such as is the correct identity.
Graphically, the roots of some equation are the abscisses of the intersection points of function with axis :herefore, from the above plot of some function , we immediately can conclude that the values are the roots of equation .
There are infinity number of different equations (linear, quadratic, cubic, trigonometric, equations with powers and radical, ect.) depending on concrete form of function .
Answer:
Slope - 5
Y-intercept - (0,1)
Step-by-step explanation:
// Solve equation [2] for the variable y
[2] y = -5x
// Plug this in for variable y in equation [1]
[1] 5x - (-5x) = -1
[1] 10x = -1
// Solve equation [1] for the variable x
[1] 10x = - 1
[1] x = - 1/10
// By now we know this much :
x = -1/10
y = -5x
// Use the x value to solve for y
y = -5(-1/10) = 1/2
Hope this helps.
Identify the equation that describes the line in slope-intercept form. slope = 2 , point (- 1, 2) is on the line
Answer:
\(y=2x+4\)
Step-by-step explanation:
Given a slope and a point on the line, you can use point slope form and then rearrage your terms into slope-intercept formSLOPE-INTERCEPT FORM: \(y=mx+b\), where "m" is your slope and "b" is your y-interceptPOINT-SLOPE FORM: \((y-y_{1}) =m(x-x_{1})\), where \(y_{1}\) represents the y-coordinate of your point, \(x_{1}\) represents the x-coordinate of your point, and \(m\) represents the slope\((y-2)= 2(x-(-1))\)
Point-slope form\((y-2)=2(x+1)\)
\(y-2=2x+2\)
\(y=2x+4\)
Slope-intercept formHelp please it’s emergency: I don’t understand how to do number 7
With a greater mean value , we can conclude that the sixth period class test was better than the second period .
Calculating the mean of each classSecond period class:
Mean = (55+70+6*75+6*80+2*85+3*90+95)/20
Mean = 1590/20 = 79.5
Sixth period class:
Mean = (65+3*75+5*80+6*85+3*90+2*95)/20
Mean = 1660/20 = 83
Therefore, From the mean values , we can infer that students performed better in test for the sixth period class than the second .
Learn more on mean : https://brainly.com/question/20118982
#SPJ1
What is the median of the data represented by the stem
and leaf plot above?
Hint: Use the key to determine the individual values
MEDIAN middle data value when values are listed least to greatest
A 108.75
B 57
C 309
The median of middle data values is 57.
Hence option (B) is correct.
In the given table;
total number of digits = 20
Since 20 is even number
Therefore its median = 20/2 + 1
= 11
So the 11th digit of table is 7
Which gives index 5
Now according to the defined key 5|7 = 57
Hence median = 57
To learn more about median visit:
https://brainly.com/question/30656547
#SPJ1
Find the distance between the points R(0, 1) and S(6, 3.5). The exact distance between the two points is .
Answer:
the answer 6.5
........
The distance between the points R(0, 1) and S(6, 3.5) is 6.5 units after using the distance formula.
What is a distance formula?It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
\(\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
It is given that:
Two points are:
R(0, 1) and S(6, 3.5)
To find the distance between points R and S we can use the distance formula.
\(\rm d=\sqrt{(6-0)^2+(3.5-1)^2}\\\)
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
d = √(36 + 6.25)
d = √42.25
d = 6.5 units
Thus, the distance between the points R(0, 1) and S(6, 3.5) is 6.5 units after using the distance formula.
Learn more about the distance formula here:
brainly.com/question/18296211
#SPJ2
A stone is dropped from the upper observation deck of a tower, 900 m above the ground. (Assume g=9.8 m/s2.) (a) Find the distance (in meters) of the stone above ground level at time t, h(t)= (b) How long does it take the stone to reach the ground? (Round your answer to two decimal places.) (c) With what velocity does it strike the ground? (Round your answer to one decimal place.) m/s (d) If the stone is thrown downward with a speed of 3 m/s, how long does it take to reach the ground? (Round your answer to two decimal places.)
After considering the given data we conclude that the distance between stone and ground level \(h(t) = -4.9t^2 + 900\), time taken for the stone to reach the ground 18.22 seconds,the velocity with which it strikes the ground 178.76 m/s, if thrown with a down ward speed of 3m/s then the duration needed is 18.47 seconds.
A stone is dropped from the upper observation deck of a tower, 900 m above the ground. We can use the kinematic equations of motion to answer the following questions:
a) The distance of the stone above ground level at time t can be found using the equation:
\(h(t) = -1/2gt^2 + v_0t + h_0\)
where g is the acceleration due to gravity (9.8 m/s²), v0 is the initial velocity (0 m/s), h0 is the initial height (900 m), and t is the time elapsed. Plugging in the values, we get:
\(h(t) = -4.9t^2 + 900\)
b) To find how long it takes for the stone to reach the ground, we need to find the time when h(t) = 0:
\(-4.9t^2 + 900 = 0\)
Solving for t, we get:
\(t = \sqrt(900/4.9) = 18.22 seconds\)
Therefore, it takes the stone 18.22 seconds to reach the ground.
c) To find the velocity with which the stone strikes the ground, we can use the equation:
\(v(t) = -gt + v_0\)
where v(t) is the velocity at time t. Plugging in the values, we get:
\(v(t) = -9.8(18.22) + 0 = -178.76 m/s\)
Therefore, the stone strikes the ground with a velocity of 178.76 m/s.
d) If the stone is thrown downward with a speed of 3 m/s, we can use the same equation \(v(t) = -9.8(18.22) + 0 = -178.76 m/s\) to find how long it takes to reach the ground. This time, \(v_0\) is -3 m/s (since it is thrown downward) and \(h_0\) is still 900 m. Plugging in the values, we get:
\(-4.9t^2 - 3t + 900 = 0\)
Solving for t, we get:
t = 18.47 seconds
Therefore, it takes the stone 18.47 seconds to reach the ground when thrown downward with a speed of 3 m/s.
To learn more about velocity
https://brainly.com/question/24681896
#SPJ4
y varies directly as the square of x and inversely as z. Find y when x=2 and z=1 , if y=4 when x=4 and z=12
The direct and Inverse variation relationship,x = 2 and z = 1, the value of y is 12.
the direct and inverse variation relationship:
y = k * (x^2) / z
where k is the constant of variation.
Given that y = 4 when x = 4 and z = 12, we can substitute these values into the equation:
4 = k * (4^2) / 12
Simplifying, we have:
4 = k * 16 / 12
To solve for k, we can cross-multiply and divide:
4 * 12 = k * 16
48 = 16k
Dividing both sides by 16:
48 / 16 = k
k = 3
Now that we have determined the value of k, we can use it to find y when x = 2 and z = 1.
Substituting these values into the equation, we have:
y = 3 * (2^2) / 1
Simplifying further
y = 3 * 4 / 1
y = 12
Therefore, when x = 2 and z = 1, the value of y is 12.
To know more about Inverse.
https://brainly.com/question/3831584
#SPJ11
The model represents an inequality
Answer:
A) x≤-5
Step-by-step explanation:
4x+12≤-8
4x≤-20
x≤-5
Answer:x <_>Step-by-step explanation:
The slope of the perpendicular line is the negative reciprocal of (1)/(4), or -4. Use the pointslope equation, substitute -4 for m and use the point (2,-3) and solve the equation. y-y_(1)=m(x-x_(1)) y-(-3)=-4(x-2) y+3=-4x+8 y=-4x+5
By solving the equation. y-y_(1)=m(x-x_(1)) y-(-3)=-4(x-2) y+3=-4x+8 y=-4x+5 using the point-slope equation and substituting -4 for m and using point (2,-3) we get y = -4x + 5 equation of line.
Given that the slope of the perpendicular line is the negative reciprocal of (1)/(4), or -4. So, the slope of the line passing through the point (2, -3) is perpendicular to the given line is -4.
Now use the point-slope equation of a line which is given by y - y1 = m(x - x1)
Substitute m = -4, x1 = 2 and y1 = -3,
we get
y - (-3) = -4(x - 2)or y + 3 = -4x + 8or y = -4x + 5
Hence, the required equation of the line is y = -4x + 5.
To know more about point-slope refer here
https://brainly.com/question/837699
#SPJ11
X= -5 y=2 work out the VALUE if 3x + 4y
Answer:
I think the answer is -7
because : 3(-5) + 4(2)
-15 + 8
= -7
help me get these 10 questions u will have 100 points EZ
In pitcher's era that earned run average ,A is measured by the formula A= 9R/I where R= runs allowed and I= number of inning's pitched solve the formula for I
To solve the formula A=9R/I for I, we need to rearrange the equation to isolate the variable I. By plugging in the values for A and R into the equation, we can determine the number of innings pitched.
Starting with the formula A=9R/I, we want to solve for I. To do this, we can begin by multiplying both sides of the equation by I to eliminate the fraction. This gives us AI = 9R.
Next, we want to isolate the variable I. To do so, we can divide both sides of the equation by A. This gives us AI/A = 9R/A, which simplifies to I = 9R/A.
Therefore, the solution to the formula A=9R/I for I is I = 9R/A. This equation allows us to calculate the number of innings pitched (I) when given the earned run average (A) and the runs allowed (R).By plugging in the values for A and R into the equation, we can determine the number of innings pitched.
Learn more about fraction here:
https://brainly.com/question/10354322
#SPJ11
Review the equation used in writing a partial fraction decomposition. Startfraction negative 15 x + 10 over (5 x minus 2) squared endfraction = startfraction a over 5 x minus 2 endfraction + startfraction b over (5 x minus 2) squared endfraction which system of equations can be used to determine the values of a and b?.
The equation used in writing a partial fraction decomposition is given as:
Negative 15 x + 10 / (5 x - 2) = a / (5 x - 2) + b / (5 x - 2).
To determine the values of a and b, we can use a system of equations. This system of equations consists of two equations, one for a and one for b. The equation for a is: Negative 15 x + 10 = a * (5 x - 2). The equation for b is: 0 = b * (5 x - 2). We can solve these equations simultaneously to get the values of a and b.
For example, if x = 1, then the equation for a becomes: Negative 15 + 10 = a * (5 - 2), which simplifies to -5 = a * 9. Therefore, a = -5/9. The equation for b becomes: 0 = b * (5 - 2), which simplifies to 0 = b * 3. Therefore, b = 0.
In summary, the system of equations used to determine the values of a and b is:
Negative 15 x + 10 = a * (5 x - 2) and 0 = b * (5 x - 2). By solving these equations simultaneously, we can get the values of a and b.
To learn more about partial functions:
https://brainly.com/question/24594390
#SPJ4
Answer:
B!!!
Right on Edge
Step-by-step explanation:
A tornado is located between city hall and a cell phone tower and is heading towards the cell phone tower. By what angle does the tornado’s direction need to change so that it passes over the radar station instead?
Answer:
the amount of angle the hall is so prob like 5
Step-by-step explanation:
you provided insufficient details to answer
Answer: 30 degrees
Step-by-step explanation:
2 interior angles of 75 degrees.
75+75=150.
180-150=30
Which expression can you use to find 16÷45?
Answer:
☆<《HOPE IT WILL HELP YOU 》>☆
Step-by-step explanation:
Exprassion is 16/45--x=0
Answer:
16 x 5/4
Step-by-step explanation:
u change division to multiplication then flip the fraction.
tada!
:)
Write an equation in slope-intercept form for a line that passes through the point (4,-8) and is parallel to the line y=-3x+7
Answer:
\(y=-3x+4\)
Step-by-step explanation:
You rent an apartment that costs $1700 per month during the first year, but the rent
is set to go up $70 per year. Write a recursive formula to show what the rent is during.
the nth year of living in the apartment.
so the first year is $1700
in that case: a(1)=1700
each year it goes up by $70
then in nth year it's: a(n)=a(n-1)+70
the 2004 presidential election exit polls from the critical state of ohio provided the following results. there were 2020 respondents in the exit polls and 750 wre college graduates. of thecollege graduates, 480 voted for george bush. construct a 97% two sided confidence interval for the proportion of college graduates in ohio that voted for george bush.
We can be 97% confident that the true proportion of college graduates in Ohio who voted for George Bush in the 2004 presidential election lies between 0.59 and 0.69.
To construct the confidence interval, we first need to calculate the sample proportion of college graduates in Ohio who voted for George Bush:
P = 480/750 = 0.64
Next, we need to calculate the standard error of the sample proportion:
SE = \(\sqrt{}\)((P(1-P))/n) = \(\sqrt{}\)((0.64 x 0.36)/750) = 0.025
To construct a two-sided confidence interval with a confidence level of 97%, we need to find the critical values from the t-distribution with degrees of freedom equal to the sample size minus 1:
t* = t(0.015, 749) ≈ 2.356
where t(0.015, 749) represents the 0.015th percentile of the t-distribution with 749 degrees of freedom. We use the 0.015th percentile instead of the 0.025th percentile because we are constructing a two-sided confidence interval.
Finally, we can construct the confidence interval using the formula:
P ± t*SE
Substituting the values, we get:
0.64 ± 2.356 x 0.025
Simplifying, we get:
(0.59, 0.69)
Therefore, we can be 97% confident that the true proportion of college graduates in Ohio who voted for George Bush in the 2004 presidential election lies between 0.59 and 0.69.
To learn more about standard error visit: https://brainly.com/question/13179711
#SPJ11
A shop owner offered a 20% discount off the regular price of a mirror. The amount of the discount is $5. What is the regular price of the mirror?
Answer:
25 dollars
Step-by-step explanation:
If 20 percent of the initial price was 5, you can create the equation:
0.2x=5, with x being the regular price.
Multiply both sides by 5:
x=25
Answer:
25$
Step-by-step explanation:
20/100 can be rounded down to 1/5 meaning all you have to do is multiply 5 by 5
5 times 5 is 25
25$ was the original price
PLEASE HELP! WILL MARK BRAINLIEST!
Which of the following pairs of triangles can be proven similar through SSS similarity?
Help please quick fast I’ll make you brainliest
Answer:
A is the answer
Step-by-step explanation:
Classify each of the following as a whole number, integer, or a rational number. (list all that
apply.)
7. -15 =
8. 5 4 =
9. 0.48 =
10. 32 =
Each one of the following is classified as:
7. -15 = Integer
8. 5/4 = rational number
9. 0.48 = Rational number
10. 32 = Whole number
To classify each of the given numbers, let's understand the definitions of whole numbers, integers, and rational numbers:
1. Whole numbers: These are non-negative numbers that do not include fractions or decimals. Examples of whole numbers are 0, 1, 2, 3, etc.
2. Integers: These include both positive and negative whole numbers, as well as zero. Examples of integers are -3, -2, -1, 0, 1, 2, 3, etc.
3. Rational numbers: These are numbers that can be expressed as a fraction, where the numerator and denominator are both integers. Rational numbers include integers as well as fractions. Examples of rational numbers are -2/3, 1/4, 0.5, 2, etc.
Now, let's classify each of the given numbers:
7. -15: This is an integer because it is a negative whole number.
8. 5/4: This is a rational number because it can be expressed as a fraction, where the numerator and denominator are both integers.
9. 0.48: This is a rational number because it can be expressed as a fraction. We can write it as 48/100, which can be simplified to 12/25.
10. 32: This is a whole number because it is a positive whole number.
To know more about integer refer here:
https://brainly.com/question/490943
#SPJ11
xét tính chẵn lẻ của hàm số : y = tanx + cotx
Answer:
Step-by-step explanation:
Carlos and Diya perform the same transformations on
the same pre-image, but in reverse order.
Carlos translates, then dilates. Diya dilates, then translates. Carlos claims the resulting images will always be the same. Diya disagrees. Who is right
Answer: Carlos is right
Step-by-step explanation:
why because in dilation, the image and the original are similar, in that they are the same shape but not necessarily the same size. They are not congruent because that requires them to be the same shape and the same size, which they are not (unless the scale factor happens to be 1.0).
Diya is wrong because the picture is the not the same size && the image is going to stay the same
Your question is incomplete. Please read below to find the missing content.
Carlos is right because, in dilation, the image and the original are similar, in that they are the same shape but not necessarily the same size. They are not congruent because that requires them to be the same shape and the same size, which they are not (unless the scale factor happens to be 1.0).
What is a word problem in maths?A word problem in maths is a maths question written as one sentence or more that requires children to apply their maths knowledge to a 'real-life' scenario.
Learn more about word problems here: https://brainly.com/question/13818690
#SPJ2
M
Test Question
Which of the following completes
the parts of the square?
A.
B.
C.
D.