what triangle congruence theorem is needed?
4. An airplane at T(80,20) needs to fly to both U(20,60) and V(110,85). What is the shortest possible distance for the trip?
165units
170units
97units
169 units
is the answer A?
. Classify the triangle according to side length and angle measurement.
(1 point)
isosceles; right
equilateral; obtuse
scalene; acute
scalene; right
Final answer:
The question requests the classification of a triangle by both its side length and angle measurement. An isosceles triangle has two equal sides, and if it also includes a right angle, it is classified as isosceles; right. This understanding combines the concepts of triangle classification by sides and angles.
Explanation:
The question asks to classify a triangle according to side length and angle measurement. When classifying triangles by side lengths, we have three categories: isosceles, scalene, and equilateral. An isosceles triangle has two sides of equal length, a scalene triangle has all sides of different lengths, and an equilateral triangle has all sides of equal length. In terms of angle measurements, triangles can be classified as right (one 90-degree angle), acute (all angles less than 90 degrees), or obtuse (one angle greater than 90 degrees).
According to the information provided and referencing the 4th Theorem, in an isosceles triangle, the angles opposite to the equal sides are equal. This property helps in classifying a triangle when given its angles or side lengths. Furthermore, for a triangle to be a right triangle, it must include a 90-degree angle. This is crucial when identifying a triangle as isosceles; right, which means it is an isosceles triangle with a right angle, typically resulting in the two equal sides being adjacent to the right angle.
The graph of F(x) can be stretched vertically and flipped over the x-axis to produce the graph of G(x). If F(x) = x2, which of the following could be the equation of G(x)?
A. G(x) = 4x2
B. G(x) = -1/4x2
C. G(x) = -4x2
D. G(x) = 1/4x2
Answer:
The correct option is C.
Step-by-step explanation:
The given function is
[tex]F(x)=x^2[/tex]
The transformation of the function is defined as
[tex]G(x)=kF(x)[/tex]
If k>1, then the graph of function F(x) stretched vertically and If 0<k<1, then the graph of function F(x) compressed vertically.
It is given that the graph of F(x) can be stretched vertically, it means the value of k must be greater than 1.
The graph of F(x) is flipped over the x-axis, so the function G(x) is equal to the negative of k times of F(x).
[tex]G(x)=-kF(x)[/tex]
Where must be greater than 1.
In option 3, G(x) is equal to the negative of 4 times of F(x). Only in this option, there is negative relation between F(x) and g(x) with k>1.
[tex]G(x)=-4F(x)[/tex]
Therefore the correct option is C.
A particular computer takes 13 minutes to download a 39-minute TV show. How long will it take the computer to download a 2-hour movie?
It will take the computer 40 minutes to download a 2-hour movie based on its current download speed, which is 3 minutes of video per minute of download time.
Explanation:To answer this question, we first need to establish the download speed of the computer. This can be done by dividing the length of the TV show by the time it takes to download it. In this case, the computer can download 39 minutes of video in 13 minutes, so its download speed is 39/13 = 3 minutes of video per minute of download time.
To find out how long it will take to download a 2-hour movie, we first need to convert the length of the movie to minutes, because our speed is in minutes of video per minute of download time. Two hours is equal to 2*60 = 120 minutes. Therefore to download a 120-minute video, it will take 120/3 = 40 minutes.
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Johns father is 2 meters tall how many meters tall how many centimeters tall is johns father
Answer: He is 6'5
Step-by-step explanation: He is 6'5 because 2 meters it equal to 6'5
Help please asap
1. The area of a rectangular carpet is given by the trinomial 5x^2 - 3x - 14. What are the possible dimensions of the carpet? Use factoring.
A. (5x + 7) and (-x - 2)
B. (5x + 7) and (x - 2)
C. (5x - 7) and (x - 2)
D. (5x - 7) and (x + 2)
2. The area of a rectangular barnyard is given by the trinomial 6x^2 + 7x – 20. What are the possible dimensions of the barnyard? Use factoring
A. 2x - 5 and 3x + 4
B. -2x - 5 and -3x + 4
C. 2x + 5 and 3x - 4
D. 2x - 5 and 3x - 4
The possible dimensions for the rectangular carpet with an area represented by the trinomial 5x^2 - 3x - 14 are (5x + 7) and (x - 2). For the barnyard with area 6x^2 + 7x - 20, the dimensions are (2x - 5) and (3x + 4).
To find the possible dimensions of the rectangular carpet with area 5x^2 - 3x - 14, we need to factor the trinomial. Factoring the trinomial, it is evident that we need two numbers whose product is -70 (5 * -14) and whose sum is -3. Factoring the trinomial we get (5x + 7)(x - 2), so the possible dimensions of the carpet are (5x + 7) and (x - 2), which corresponds to option B.
Similarly, to determine the dimensions of a barnyard with area 6x^2 + 7x - 20, we again factor the trinomial. We are looking for two numbers that multiply to -120 (6 * -20) and add up to 7. Factoring yields (2x - 5)(3x + 4), so the possible dimensions of the barnyard are (2x - 5) and (3x + 4), which corresponds to option A.
Situation: A 15 gram sample of a substance that's a by-product of fireworks has a k-value of 0.1405. N Noe No initial mass (at time 0) N mass at time t k a positive constant that depends on the substance itself and on the units used to measure time t time, in days
Answer: 4.9
Step-by-step explanation:
Hope this helps
PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER
Solve for x in the equation x^2+10x+12=36.
A. x = –12 or x = 2
B. x = –11 or x = 1
C. x = –2 or x = 12
D. x = –1 or x = 11
To solve the equation x^2+10x+12=36, subtract 36 from both sides and factor or use the quadratic formula to find the solutions. The solutions are x = -12 or x = 2.
Explanation:To solve the equation x^2+10x+12=36, we need to bring all terms to one side of the equation and then factor or use the quadratic formula. Subtracting 36 from both sides gives us the equation x^2+10x-24=0. We can then factor this equation as (x+12)(x-2)=0. Setting each factor equal to zero, we find that x = -12 or x = 2.
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what are the answers to all of these questions?
On a circular playground, the distance from its center to the edge of the playground is 35 feet. What is the approximate circumference of the playground?
I really need help on all of these please
At breakfast, restaurant charges $2 for the first cup of orange juice and then $1 for each refill which graph represents this situation
It would be 2 + 1x. The y intercept is 2, and every unit, you would multiply those numbers together. For example, if the x axis is 6, then you would do 2 + 6 which is 8 on the y axis and etc.
Answer:
its D
Step-by-step explanation:
If you worked for 6 days for a total of 67.8 hours. If I worked the same number of hours each day, how many hours did I work in a day?
Solve the inequality.
1
_ c < B
4
C < 32
C < -4
C > 12
C > 32
Solve the equation. Y + 13 = 10
Y = -23
Y = 3
Y= -3
Y = 23
Multiply. 7(x -2)
7x - 2
7x - 14
7x - 9
X - 14
Mary and her brother John collect foreign coins. Mary has three times the number of coins that John has. Together they have 160 foreign coins. Find out how many Mary has.
112
120
24
40
PLEASE HELP ME QUICK
PLEASE EXPLAIN IT.....
BRAINLIEST IS GIVEN TO RIGHT ANSWER
THX
Please help me. I'm confused. Consider the following geometric sequence. -5, 10, -20, 40,... If the recursive formula for the sequence above is expressed in the form a^n=b*^n-1, determine the value of B. B= (choices are 2, -2, 5, -5)
Answer:
-2
Step-by-step explanation:
You buy boxes of strawberries at the market. Each box costs $ 6 Write an equation for the number of dollars, d, you spend on b boxes.
Answer:
Step-by-step explanation:
You pay \blueD{\$6}$6start color blueD, dollar sign, 6, end color blueD for each box of strawberries. The number of dollars you spend depends on \goldD bbstart color goldD, b, end color goldD, the number of boxes of strawberries you buy.
To find the number of dollars you spend on strawberrries, we can use the equation \maroonD d=\blueD6\goldD bd=6bstart color maroonD, d, end color maroonD, equals, start color blueD, 6, end color blueD, start color goldD, b, end color goldD.
How do u do question 25. How do u find the measure of X?
Which of the economic goals correlates with the explanation "the ability of people to make choices"?
A. equity
B. innovation
C. efficiency
D. freedom
I got D as my answer, is that correct?,
the sum of two number is 10. the difference between the numbers is 4. what are the two numbers.
a cupcake recipe calls for 1/6 cups of milk and you have 5/8 cups of milk in the refrigerator how many cups of milk will you have remaining after baking the cupcakes
Answer: 1/8
Step-by-step explanation:
Help me please.....
3.you have a mortgage payment of $1,248.90/month. Using proportions, what is the minimum amount you must have in realized income per month to keep your housing expense in the acceptable range?,
To determine the minimum amount of realized income per month to keep your housing expense in the acceptable range, set up a proportion using 30% of the mortgage payment and solve for x.
Explanation:To determine the minimum amount of realized income per month to keep your housing expense in the acceptable range, we can use a proportion. Let's assume that the acceptable range for housing expense is 30% of your income.
First, we need to find the total monthly income that corresponds to 30% of the mortgage payment. We can set up a proportion:
x/1248.90 = 30/100
Cross-multiplying, we get:
100x = 30 * 1248.90
Simplifying, we find:
x = (30 * 1248.90)/100 = $374.67
Therefore, the minimum amount you must have in realized income per month to keep your housing expense in the acceptable range is $374.67.
CHECK MY ANSWER??
Which statement describes the first step to solve the equation by completing the square? 3x^2 + 18x= 21
A. Multiply both sides of the equation by 19.
B. Add 81 to each side of the equation.
C. Add 9 to each side of the equation.(MY ANSWER)
D. Multiply both sides of the equation by 13 .
If the product of two positive integers is 180 and the larger number is 5 times the smaller number, what are the numbers
A brand new filled jar of salsa is 11 cm tall and a has a radius of 6 cm. Kelly eats some of the salsa and the salsa in the jar is now 6 cm high. Approximately how much salsa did Kelly eat? Round your final answer to the nearest whole number.
188 cm³
565 cm³
679 cm³
1244 cm³
Answer:
Ok the answer is 565 but I'm going to break it down for those who wanna know how
Step-by-step explanation:
So first let's just assume the jar is a cylinder which means to use the formula
[tex]V=\pi r^{2} h[/tex]
They saved you time of having to finf the Radius and such
firstly, we're gonna solve before she eats all that salsa lol
r = 6
h = 11
we're gonna substitute 3.14 for pi
of course you'll solve for it which you'll get
v = 1243.44
now you need to find the volume after she eats the salsa which the only difference is that the height will be 6 instead of 11
substitute
solve and you'll get
678.24
now that you have the volume of before and after she eats the salsa all you need to do is subtract to find the difference
1243.44 - 678.24
which you'll get
565!
Hope this helps!
which expression is equivalent to 4√24x∧6y÷ 128x∧4y∧5
Answer:
Option D. [tex]\sqrt[4]{\frac{3x^{2}}{2y}}[/tex]
Step-by-step explanation:
[tex]\sqrt[4]{\frac{24x^{6}y}{128x^{4}y^{5}}}[/tex]
[tex]\sqrt[4]{(\frac{24}{128})\times (\frac{x^{6}}{x^{4}})\times (\frac{y}{y^{5}})}[/tex]
= [tex]\sqrt[4]{(\frac{3}{16})\times {(x)^{6-4}}\times{(y)^{1-5}}}[/tex]
= [tex]\sqrt[4]{(\frac{3}{16})\times x^{2}y^{-4}}[/tex]
= [tex]\sqrt[4]{\frac{3}{(2)^{4}}\times x\times y^{-4}}[/tex]
= [tex]\sqrt[4]{(3\times x^{2)\times (\frac{y^{-1}}{2})^{4}}}[/tex]
= [tex]\frac{y^{-1}}{2}\sqrt[4]{3x^{2}}[/tex]
= [tex]\sqrt[4]{\frac{3x^{2}}{2y}}[/tex]
Option D. [tex]\sqrt[4]{\frac{3x^{2}}{2y}}[/tex] is the correct answer.
What is the measure of ∠ABD?
27°
54°
114°
124°
we know that
An exterior angle is equal to the sum of the two non adjacent angles
so
In this problem
[tex](4n+6)\°=2n\°+60\°[/tex]
Solve for n
Group terms that contain the same variable, and move the constant to the opposite side of the equation
[tex](4n-2n)\°=(60-6)\°[/tex]
Combine like terms
[tex]2n\°=54\°[/tex]
[tex]n=27\°[/tex]
Find the measure of angle ABD
∠ABD=[tex](4n+6)\°[/tex]
Substitute the value of n
∠ABD=[tex](4*27+6)\°=114\°[/tex]
therefore
the answer is the option
[tex]114\°[/tex]
Answer:
the answer is 114
Step-by-step explanation:
hope i helped all of you guys and girls
A recipe calls for 1 1 2 cups of flour. how many cups will you need if you are preparing 5 batches of the recipe?