The two triangles below are similar.
Calculate the value of x.
Give your answer as an integer or as a fraction in its simplest form
15 mm
C
3 mm
xmm
D
10 mm
Not drawn accurately
Answers
Answer:
50mm
Step-by-step explanation:
From the smaller to the larger:
Let s + the scale factor
3s = 10 Divide both sides by 3
s = [tex]\frac{10}{3}[/tex]
15[tex](\frac{10}{3})[/tex] = [tex]\frac{150}{3}[/tex] = 50
Related Questions
question which angles are a pair of alternate exterior angles? angle 3 and angle 6 angle 3 and angle 6 angle 4 and angle 6 angle 4 and angle 6 angle 2 and angle 8 angle 2 and angle 8 angle 1 and angle 5 angle 1 and angle 5
Answers
The pair of angles from the given options that are a pair of alternate exterior angles is:
C. ∠2 and ∠8
What are Alternate Exterior Angles?
Alternate exterior angles are pairs of exterior angles that lie alternate to each other along a transversal that cuts across two parallel lines.
Thus, in the image given, we have the following alternate exterior angles:
∠2 and ∠8
∠1 and ∠7
Therefore, the pair of angles from the given options that are a pair of alternate exterior angles is:
C. ∠2 and ∠8
the complete question is
Which angle are a pair of alternate exterior angles
A. Angle 4 and angle 6
B. Angle 3 and angle 6
C. Angle 2 and angle 8
D. Angle 1 and angle 5
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A small plane flies for 3 hours to an airport 450 kilometers away against a strong headwind. the plane then returns to its starting location flying with the wind, taking 2 hours. the wind speed remains constant for the round-trip flight.
Answers
The speed of the plane and wind in km/hr is 187.5 and 37.5 respectively.
What is a linear equation ?A linear equation has highest degree of 1.
According to the given question a small plane flies for 3 hours to an airport 450 kilo meters away against a strong headwind. the plane then returns to its starting location flying with the wind, taking 2 hours.
Form these we can form two linear equations in two variables.
Assuming speed of the plane to be x km/hr and speed of wind to be y km/hr.
We know Distance = speed × time.
3( x - y) = 450. and 2( x + y) = 450.
3x - 3y = 450...(i) and 2x + 2y = 450...(ii)
multiplying eqn (i) by 2 and eqn (ii) by 3 and solving we get
x = 187.5 km/hr and y = 37.5 km/hr.
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Kurt spent $96.39 over 414 months on movie streaming services. if he spent the same amount of money each month, how much money, in dollars, did kurt spend per month on movie streaming services?
Answers
Using proportions, it is found that Kurt spent $22.68 a month on movie streaming services.
What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, or operations such as multiplication and division.
These operations are used from the unit rates, as for example, when we have an amount over a period of time, the amount per unit of time is the total amount divided by the total time.
For this problem, we have that the important parameters are found as follows:
The total amount is of $96.39.The time is a mixed number, 4 and 1/4 months, hence it is of 4.25 months, as 4 + 1/4 = 4 + 0.25 = 4.25.Hence his monthly spending is given by the unit rate as follows:
96.39/4.25 = $22.68 a month.
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Which transformation shows a reflection of δdef? 2 triangles have identical side lengths and angle measures. the second triangle has been rotated. 3 triangles have identical side lengths and angle measures. the second triangle is reflected. 2 triangles have identical side lengths and angle measures. the second triangle is slightly lower and to the right of the first triangle.
Answers
The transformation in reflection is that triangle may have identical aspect lengths and perspective measure.
The reflection concept must be nicely understood earlier than solving this problem.If a determine is reflected then it will have same lengths and same measures but the picture may be inverted.If we can see the meditated photo of an equilateral triangle then the image could be congruent to the object.If we are able to see the pondered image of a rectangular then it will likely be congruent to the figure.right here, the ideal choice is triangle may have identical facet lengths and perspective measure.To learn more about reflection visit the link:
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Answer:
b
Step-by-step explanation:
10 POINTS FOR THE ANSWER
Explain in your own words using appropriate vocabulary on how you determine what side is opposite, adjacent and the hypotenuse.
Answers
It should be noted that the hypotenuse is the longest side in the triangle. The opposite is the side facing the angle and the adjacent is the last side.
How to illustrate the information?The hypotenuse is the longest side of a right triangle. An "opposite" side is one that is across from a given angle, while a "adjacent" side is one that is close to a given angle.
According on the angle requested, adjacent and opposing sides can differ. The side that is opposite to the requested angle is the opposite side, and the side that is immediately adjacent to the requested angle is the adjacent side.
In conclusion, the opposite is the side facing the angle and the adjacent is the last side.
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What’s the next number in the pattern, and what is the formula to find the next number in the pattern?
7, 28, 63, 112..
Answers
Answer:
7, 28, 63, 112, 175, 252, 343, ...
Step-by-step explanation:
Step-by-step explanation:
7, 28, 63, 112, 175
7*1, 7*4, 7*9, 7*16, 7*25, ...
7*1², 7*2², 7*3^2, 7*4², 7*5²
Hence, 7n², n=1, 2, 3, 4, ...
7*6²=
7*6*6=
252
7*7²=
7*7*7=
343
Thus,
7, 28, 63, 112, 175, 252, 343, ...
How to memorize multiplication tables in just one day?
Answers
Answer:
Skip counting
Step-by-step explanation:
Skip counting is when you count at intervals of any number you like. If I were to skip count by seven, I would count 7, 14, 21, and so on. You can easily accomplish single-digit multiplication with this method. For example, suppose your teacher asks you to multiply 4 x 7 =. Simply count sevens four times, 7, 14, 21, and 28. 4 x 7 = 28 is the answer.
Go over the skip-counting list until you get to the halfway mark (3, 6, 9, 12, 15, and 18). Allow yourself to speak it out loud while pointing to the answers one by one with a finger or a pen. This engages many senses at the same time.
Repeat the list from memory after they have gone over it a few times.
The mind is similar to muscles in that it requires exercise to grow stronger.
Memorize this list in both ascending and descending order.
Go through the remaining items on the list: 21, 24, 27, 30, 33, 36.
Finally, go over the entire list of answers. Repeat the list UP AND DOWN until it seems natural and effortless.
Step-by-step explanation:
First write it down by looking at a picture.
Then try writing it down without looking at a picture
Keep doing this.
Also study for 10 mins and then ask someone else to test you
write the algebric expression two less than four times a number
PLEASE SHOW WORK
Answers
The expression two less than four times a number is represented as 4x - 2
Algebraic expressionsAn algebraic expression is an expression which is made up of variables and constants, along with algebraic operations such as the addition, subtraction, division and multiplication.
According to the question, we are to transform two less than four times a number into expression
Let the unknown number be x such that
four times a number = 4x
two less than four times a number = 4x - 2
Hence the expression two less than four times a number is represented as 4x - 2
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1/2x+1/2x= x+1
Solution:
(The answer can be no solution and infinitely many solutions)
Answers
Answer:
No solution
Step-by-step explanation:
On the left side we have one half x plus one half x which equals x. On the right side we have x + 1. So the equation becomes x = x + 1. Subtracting x from both sides we get 0 = 1, which is false. Therefore there is no solution to this problem.
Write an equation for a line that passes through the points (1, 2) and (11, 22). The form is your choice
Its too confusing pls help!
Answers
22 - 2/11-1
20/10, or 2 in reduced form, is our slope.
Now that we have the slope, we can refer to any of the ordered pairs to identify b:
y = mx + b
Let’s plug in our answer:
22 = 2(11) + b
22 = 22 + b
Because 22 = 22, our initial value is 0. Hence, b = 0.
Our equation is y = 2x or y = 2x + 0; either of these equations verifies the answer.
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How much is 12 out of 156 as a fraction in its simplest form?
Answers
Answer:
3/64
Step-by-step explanation:
12/156
DIvide both numbers by two
6/78
Divide both numbers by two
3/64
Answer: 1/13
Step-by-step explanation:
[tex]\displaystyle\\\frac{12}{156}=\\\\ \frac{3*4}{3*52}=\\\\ \frac{4}{52}=\\\\ \frac{4}{4*13}=\\\\ \frac{1}{13}[/tex]
Find a linear function that models the relationship between the two variables and describe the slope and intercept (For example, if P = 7.5s +80 gives weekly pay P, as a function of number of units sold s, then the slope of 7.5 is the pay per unit sold and the intercept of 80 is the amount of the employees base pay each week.)
Housing prices in a particular neighborhood increased at rate of $1,200 per year. If you bought a home in 1960 for $45,000, what would it be worth today? Let H be the price of the house and let t be the number of years since 1960 and find a formula for that relates the two, then use it to answer the question.
Answers
The linear function that models the relationship between the two variables is y = 1200x+ 45000
How to find a linear function that models the relationship between the two variables and describe the slope and intercept?The given parameters are
Rate = $1200 per year
Initial price in 1960 = $45000
In a linear function, we have
Slope, m = Rate
Y-intercept, c = Initial price
A linear equation is represented s
y = mx + c
So, we have
y = 1200x+ 45000
Hence, the linear function that models the relationship between the two variables is y = 1200x+ 45000
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choose the equation that represents the line that passes through the point (6, −3) and has a slope of one half. (1 point)
Answers
The equation that represents the line that passes through the point (6, −3) and has a slope of one half is 2y - x = 13.
The equation of a line is represented as,
y = mx + c equation1
x and y are the coordinates of the point from where the line is passing and m is the slope of the line.
As per the question the line is passing from the point (6, -3). This means value of x = 6 and that of y = -3. The slope of line is (1/2), means m = (1/2).
The slope of the line through the point (-1,6) can also be written as (y - 6)/(x - (-1)) = (y-6)/(x+1).
i.e., m = (y-6)/(x+1)
On equating both the values of m, we will get
(y-6)/(x+1) = 1/2
On simplifying, we get
2y - 12 = x +1
or 2y - x = 13
The equation that represents the line that passes through the point (6, −3) and has a slope of one half is 2y - x = 13.
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Find the LCM of 34 ( use prime factorisation method
Answers
The LCM of 34 using prime factorisation method is 2 and 17
Check the image below :)
drag each tile to the correct box. not all tiles will be used. one solution each is given for four quadratic equations. assuming that each quadratic equation has two solutions, what is the second solution for each equation? arrowright arrowright arrowright
Answers
for the equation is, x = -4 - 5i
The solution will be, x = -4 + 5i
for the equation is, x = 4 + 5i
The solution will be, x = 4 - 5i
for the equation is, x = 5 - 4i
The solution will be, x = 5 - 4i
Quadratic equation defind as:Any equation in algebra that can be written in proper format as where x stands for an unknown, where a, b, and c stand for known numbers, and where a 0
According to the given information:If (a + bi) is a complex number and a quadratic equation has one solution,
The second solution to the equation will be the conjugate of the first.
Consequently, the alternative solution will take the form of (a - bi).
for the equation is, x = -4 - 5i
The solution will be, x = -4 + 5i
for the equation is, x = 4 + 5i
The solution will be, x = 4 - 5i
for the equation is, x = 5 - 4i
The solution will be, x = 5 - 4i
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a pedometer treats walking 2,000 steps as walking 1 mile. it assumes that one step is a bit over 18 inches (1 mile
Answers
The required code for the pedometer is illustrated below:
steps_per_mile=2000
def steps_to_miles(steps, inches_per_step):
distance = steps * inches_per_step
miles = distance / (steps_per_mile * inches_per_step)
return miles
if __name__ == '__main__':
steps = int(input())
inches_per_step=float(input())
miles_in_pedometer = steps_to_miles(steps,inches_per_step)
print(f"You walked {steps} steps which are about {miles_in_pedometer:.2f} miles.")
what is a pedometer?
which will matter steps and decide the gap traveled, pedometers are made to apprehend vertical hip motionthey're not able to offer data at the multivariate framework of regular workout or the period of time spent carrying out numerous activities of various intensities.The required code for the pedometer is illustrated below:
steps_per_mile=2000
def steps_to_miles(steps, inches_per_step):
distance = steps * inches_per_step
miles = distance / (steps_per_mile * inches_per_step)
return miles
if __name__ == '__main__':
steps = int(input())
inches_per_step=float(input())
miles_in_pedometer = steps_to_miles(steps,inches_per_step)
print(f"You walked {steps} steps which are about {miles_in_pedometer:.2f} miles.")
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Which equations show a line that is parallel to the line y = -5/4x + 1?
select all that apply
Answers
Step by step explanation:
y = -5/4x + 1
y = -5/4x + 7
Gradient = -5/4
As long as they have the the same gradient it’s going to be parallel, the y intercept can be any number
Which point belongs on the line y = 2x - 5?
(1,3)
(0.7)
(2,-1)
(3.-11)
Answers
Answer:
(2, - 1 )
Step-by-step explanation:
to determine which point belongs on the line, substitute the x- coordinate into the right side and if the value obtained is equal to the y- coordinate then it lies on the line.
(1, 3 ) : y = 2(1) - 5 = 2 - 5 = - 3 ≠ 3 ← not on line
(0, 7 ) : y = 2(0) - 5 = 0 - 5 = - 5 ≠ 7 ← not on line
(2, - 1 ) : y = 2(2) - 5 = 4 - 5 = - 1 ← lies on line
(3, - 11 ) : y = 2(3) - 5 = 6 - 5 = 1 ≠ - 11 ← not on line
PLEASE HELP MY DEADLINE IS TMR AND IVE BEEN TRYING TO DO THIS ALL DAY. I’ve tried using my notes it doesn’t make sense please help me answer all of the questions. THANK YOU!
Answers
13. 9,000 feet
14. 4,500 feet
15. descended 4,500 feet because 9000-4500=4500
16. base camp is 1,000 feet in elevation
17. during 3-4 pm he was descending the fastest because the slope between those two points is the greatest.
18. No because the graph is not linear.
f(x)=-x-4 solve when f(x)=6
Answers
Answer: Pretty sure the answer is -10
Step-by-step explanation: If you replace f(x) with 6, you can figure out the answer more quicker.
6 = -x-4
10 = -x
x=-10
Answer:
2
Step-by-step explanation:
Since f(x) is 6, we can plug that into the equation:
6-4,
which gives us 2
1.
Steve drew line segments ABCD, EFG, BF, and C
as shown in the diagram below. Scalene ABFC i
formed.
Which statement will allow Steve to prove
ABCD||EFG?
1) LCFG = LFCB
2) LABF = LBFC
3) ZEFB=LCFB
4) ZCBF = LGFC
Answers
Answer:
Choice 1: ∠CFG = ∠FCB
Step-by-step explanation:
∠CFG and ∠FCB are interior alternate angles and equal only if ABCD||EFG
What is the measure of XYZ?
V
33
Y
O D. 54°
N
X
75⁰
O A. 33°
OB. 75°
O C. 108°
Answers
Reorganize os termos
2x=64
Divida ambos os membros
Solução
x=32
14. Salena says 38 ÷ 5 = 7. How do you respond to Salena? Explain
how to use patterns with multiplication and division facts to explain
your thinking.
Answers
Answer:
Salena is incorrect. I would advise her to try reversing the question to check her work. Please see below to check it.
Step-by-step explanation:
38 ÷ 5 = 7
Try reversing to check.
7*5=35
38 divided by 5 does not equal to 7.
Hope this helps!
Please mark as brainliest if correct!
Use your calculator to work out
a) (1.8 × 10⁹) + (6.2 × 107)
b) (6.4 x 10-¹¹) - (5.3 × 10-¹2)
Give your answers in standard form.
Answers
Answer:
a) 1800000663.4
b) 0.0000000000587
Step-by-step explanation:
Answer:
(a) (1.8×10^9)=1800000000
(6.2×107)=663.4
So therfore,
(1.8×10^9)+(6.2×107)=1800000663
Note: "^" means exponential (power)
Step-by-step explanation:
(b) (6.4×10^-11)=0.000000000064
(5.3×10^-12)=0.0000000000053
Therefore ,
Answer= 0.0000000000587
What are the points of intersection between the graphs of the functions
f(x) = (x+3)(x − 1) and g(x) = (x + 1)(x − 3)
Answers
Step-by-step explanation:
THE POINT OF INTERSECTION IS WHERE F(x) = G(x)
[tex](x + 3)(x - 1) = (x + 1)(x - 3) \\ {x}^{2} + 2x - 3 = {x}^{2} - 2x - 3 \\ \\ {x}^{2} - {x}^{2} + 2x + 2x - 3 + 3 = 0 \\ 4x = 0 \\ \frac{4x}{4} = \frac{0}{4} \\ x = 0[/tex]
find the y coordinate by plugging in the value of c in any of the function.You will get thw same value
[tex]g(0) = (0 + 1)(0 - 3) \\ g(0) = 1( - 3) \\ g(0) = y = - 3[/tex]
The point of intersection is (0,-3)
5x+6y=-48 in slope intercept form
Answers
Answer:
y=-5/6x-8
Step-by-step explanation:
Slope intercept form: y=mx+b
5x+6y=-48
6y=-5x-48
y=-5/6x-8
Find the distance between -452 and 12.
Answers
Answer: 440
Step-by-step explanation: You add 12 to -452
I believe how you find the difference between two numbers is by adding their absolute value. The absolute value ignores the negative and positive values and is really just the distance of the number from 0.
So, with -452 and 12, the distance between them is 464 units
answer: 464
Im sorry if that was confusing!
Which of the following expressions is NOT equal to the others?
ab + ac
(b + c)a
a(b + c)
ab + c
Answers
The expression that is NOT equal to the others is ab + c
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine which of the following expressions is NOT equal to the others?The expressions are given as
ab + ac
(b + c)a
a(b + c)
ab + c
Next, we evaluate the expressions as follows
So, we have
ab + ac = ab + ac
(b + c)a = ab + ac
a(b + c) = ab + ac
ab + c = ab + c
See that all but the last expression have a value of ab + ac
Hence, the expression that is NOT equal to the others is ab + c
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luke measured a swimming pool and made a scale drawing. the scale he used was 7 centimeters : 3 meters. the pool is 105 centimeters long in the drawing. how long is the actual pool?
Answers
The actual length of the swimming pool be 15m if the scale used by Luke is 7cm : 3m.
Let the actual length of the pool be x m.
According to the given question.
Luke measured a swimming pool and made a scale drawing. The scale he used was 7 centimeters : 3 meters.
⇒ The scale is 7cm : 3m.
Also, the length of the pool in the drawing is 105cm.
Therefore, the actual length of the swimming pool is given by
7cm : 3m = 105cm : x (by proportion fromula)
⇒ 7x = 105
⇒ x = 15m
Hence, the actual length of the swimming pool be 15m if the scale used by Luke is 7cm : 3m.
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for the given functions f and g,find the composition please help
Answers
Answer:
[tex](f \cdot g)(x)=18x^3+15x^2[/tex]
Step-by-step explanation:
Given functions:
[tex]\begin{cases}f(x)=6x^2+5x \\ g(x)=3x\end{cases}[/tex]
Function composition is an operation that takes two functions and produces a third function.
The composite function (f · g)(x) means to multiply function f(x) by function g(x):
[tex]\begin{aligned}\implies(f \cdot g)(x) & = f(x) \cdot g(x)\\& = (6x^2+5x)(3x)\\& = 6x^2 \cdot 3x+5x\cdot 3x\\& = 18x^3+15x^2\end{aligned}[/tex]
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