Which triangle defined by the given points on the coordinate plane is similar to the triangle illustrated?
Answers
Answer:
The correct option in the attached image is:
D. (-1, 1), (-1, 5), (-7, 1)
Step-by-step explanation:
Please refer to the attached image.
The length of the horizontal segment of the graphed triangle is 3. The length of the vertical segment of the triangle graphed is 2. We will use the Pythagorean theorem to find the length of the missing side thus:
x² = 2²+3²
x² = 4+9
x² = 13
x = √13 or 3.6
This makes our side lengths 2, 3, and 3.6
For option A, our vertices are (-1, 1), (-1, 4), (-6, 1). This means the length of the horizontal segment 5 and the length of the vertical segment 3. This missing side length is calculated thus:
x² = 5²+3²
x² = 25+9
x² = 34
x = √34 or 5.83
This is not proportional to the triangle drawn, so it is not similar.
For option B, our vertices are (-1, 1), (-1, 5), and (-6, 1). This makes the horizontal segment 5 units long and the vertical segment 4 units long. This makes the missing side length
x² = 4²+5²
x² = 16+25
x² = 41
x = √41 or 6.4
These are not proportional to the triangle drawn, so the triangles are not similar.
For option C, our vertices are (-1, 1), (-1, 4) and (-7, 1). This makes the length of the horizontal segment 6 and the length of the vertical segment 3. This makes the missing side length
x² = 3²+6²
x² = 9+36
x² = 45
x = √45 or 3√5 or 6.7
These sides are not proportional to the sides of the triangle drawn, so the triangles are not similar.
For option D, our vertices are (-1, 1), (-1, 5) and (-7, 1). This makes the length of the horizontal segment 6 and the length of the vertical segment 4. This makes the missing side length
x² = 6²+4²
x² = 36+16
x² = 52
x = √52 or 2√13 or 7.21
These sides are all twice as long as the sides of the triangle drawn, this indicates that the triangles are similar. Therefore our answer is D.
Related Questions
If x = -5 and y = 3 x − 5, then y equals what number?
Answers
Answer:
-20
Step-by-step explanation:
Plug in -5 for x
Y=3(-5) -5
Y=-20
Hope this helped
:)
Answer:
-20
Step-by-step explanation:
y= 3x-5
y=3(-5)-5
y= -15-5
y= -20
The expression 20,000(1.05)' represents the population of a town t years after 2005
Select the value from each drop-down menu that best completes the sentence.
The population of the town
by
• each year
Answers
Answer:
Step-by-step explanation:
The given expression represents exponential growth. The expression is written as
20,000(1.05)^t
Where
20000 represents the initial population of the town in 2005.
1.05 represents the rate at which the population is increasing each year after 2005. The actual growth rate is
0.05 × 100 = 5%
t represents the number of years after 2005
Therefore, the complete sentence would be
The population of the town is increasing by 5% each year.
Steven ran for class president against Mandy. Steven Recieved 5 votes for every 3 votes that Mandy Recieved. Mandy Recieved 420 votes if all students voted only once how many students voted in the election
Answers
Answer:
700
Step-by-step explanation:
420×5=2100
2100÷3=700
Answer: 700
Translate this phrase into an algebraic expression:
500 increased by twice Matt's savings
Use the variable m to represent Matt's savings.
Answers
Answer:
500 +2m
Step-by-step explanation:
500 "increased by" "twice Matt's savings"
translates to ...
500 + 2m
__
Your algebraic expression is ...
500 +2m
Answer:
500 + 2m
Step-by-step explanation:
m represents Matt's savings. So 2m is twice that.
500 increased by that means add them, so you get 500 + 2m
What is the endpoint formula given midpoint?
Answers
Answer:
B = 2M -A
Step-by-step explanation:
For given endpoint A and midpoint M, the other endpoint B can be found using the definition of the midpoint:
M = (A+B)/2
2M = A+B . . . . . multiply by 2
2M-A = B . . . . . subtract A
The second endpoint can be found by subtracting the given endpoint from twice the midpoint:
B = 2M -A
SIMPLIFY THE EXPRESSION: 2(4+5v)
PLS HELPPPPP ILL GIVE U BRAINLIEST
Answers
Answer:
8+10v
Step-by-step explanation:
Answer:
8+10v
Step-by-step explanation:
The equation (x+h)(x+5)=0 has solutions of -5 and 6. What is the value of h.
Answers
Answer:
h = -6
Step-by-step explanation:
To solve this problem, plug in the values of either -5 or 6 into the equation for x. Then, simplify. Let's begin by plugging 6 in.
(6 + h)(6 + 5) = 0
I like to use the acronym FOIL for problems like these: first, outside, inside, last.
To start, multiply the first terms, 6 and 6. The answer is 36.
Next, multiply the outside terms, 6 and 5. The answer is 30.
Then, multiply the inside terms, h and 6. The answer is 6h.
Finally, multiply the last terms, h and 5. The answer is 5h.
Add all the products together.
36 + 30 + 6h + 5h = 11h + 66
The equation becomes 11h + 66 = 0.
Now, subtract 66 from both sides to isolate h.
11h = -66
Then, divide both sides by 11 to further isolate h.
h = -6
You have your final answer, h = -6.
What is the slope of a line perpendicular to y= -5/6x-7?
a. -6/5
b. 6/5
c. -5/6
d. 5/6
Answers
Answer:
it's B
Step-by-step explanation:
Trust me
An airplane pilot jumps out of an airplane and has an initial velocity of 32 feet per second downwards. How long does it take to fall from 1000 feet to 760 feet before the parachute opens?
Answers
Answer:
3 seconds
Step-by-step explanation:
Downwards positive
a = 32
s = 1000 - 760 = 240
s = ut + ½at²
240 = 32t + 16t²
t² + 2t - 15 = 0
t² + 5t - 3t - 15 = 0
t(t + 5) - 3(t + 5) = 0
(t - 3)(t + 5) = 0
t = 3, -5
By applying the equation of motion, we can determine that under the conditions specified in the question, it would take about 4.3 seconds for a pilot to fall from 1000 feet to 760 feet.
Explanation:The question regards the time it takes for a pilot to fall a certain distance with a given initial velocity. The situation can be treated as a free fall, because while in the air the only force the pilot is subjected to (neglecting air resistance) is gravity. The key formula we need is the equation of motion d = vt + 0.5[tex]at^2[/tex],
where:
d is the distance fallen
v is the initial velocity
a is the acceleration due to gravity (9.8[tex]m/s^2[/tex])
t is the time
In this case, the distance d is 1000ft - 760ft = 240ft (73.152m), the initial velocity v is 32 ft/s (9.75m/s downwards).
Plugging these values into the equation, we get 73.152m = 9.75m/s *t + 0.5*(-9.8[tex]m/s^2[/tex])*[tex]t^2[/tex], which can be rearranged and solved to get t = 4.3s.
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A youth director for a city's parks and recreations department is planning for next year's program. From a survey of city residents, the director knows that 35% of the population participate in the parks and recreations programs. For a random sample of 40 people, what is standard deviation for the sampling distribution of the sample proportions, rounded to three decimal places?
Answers
Given Information:
Sample size = n = 40
sample proportion = p = 35% = 0.35
Required Information:
standard deviation of sample proportion = σ
Answer:
standard deviation of sample proportion = σ = 0.075
Step-by-step explanation:
Check if the condition np ≥ 10 or n(1 - p) ≥ 10 is satisfied
np ≥ 10
40*0.35 ≥ 10
14 ≥ 10 satisfied
n(1 - p) ≥ 10
40(1 - 0.35) ≥ 10
26 ≥ 10 satisfied
Which means that distribution of sample proportion will have a mean closer to the population proportion.
The standard deviation for sample proportion is given by
[tex]\sigma = \sqrt{\frac{p(1-p)}{n}}[/tex]
[tex]\sigma = \sqrt{\frac{0.35(1-0.35)}{40}}[/tex]
[tex]\sigma = 0.075[/tex]
Therefore, the standard deviation for the sampling distribution of the sample proportions is 0.075.
Can you guys please help me
Answers
Answer:
9^2 +12^2 = m^2
81+144=m^2
225=m^2
m=15
The Pythagorean Theorem is a^2 + b^2 = c^2
In this case, your a is 9, your b is 12, and your c is m
Following the boxes:
9^2 + 12^2 = m^2
81 + 144 = m^2
225 = m^2
m = 15
What’s the square root of 6
Answers
Answer:
2.44948974
Hope I could help.
Brainliest plz ;)
oliver turned a circular dial one degree if he turns the dial one degree 27 times, what is the measurement on the angle in degrees
Answers
Answer:
27 degrees.
Step-by-step explanation:
Please kindly check the attached file
A set of math tests is normally distributed
with a mean of 81 and a standard deviation
of 5. If Adam's z-score was -0.6 and Leah's
z-score was 2.2, how many points higher did
Leah score than Adam?
Answers
2.2-0.6=1.6
1.6*81=129.6
129.6/2=64.8
Answer: 64.8
The Leah score than Adam is, 64.8.
Definition of normal distribution:
A normal distribution is a symmetrical continuous probability distribution in which values are usually clustered around the mean.
Step by step:Adam had a z-score of -0.6 while Leah had a z-score of 2.2.
According, to the question:
[tex]2.2-0.6=1.6\\[/tex]
[tex]1.6[/tex]×[tex]81=[/tex][tex]129.6[/tex]
[tex]\frac{129.6}{2} \\64.8[/tex]
Hence, The Leah score than Adam score are 64.8.
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Please help solve this
Answers
Answer:
0.125
Step-by-step explanation:
Answer:
x = 1/8
Step-by-step explanation:
The first step is to make all of the denominators in the fractions the same. To do so, find what number multiplies by 4 to get to 8. This number is 2. Then, multiply that number to the numerator of the fraction you're going to change.
3/4 becomes 6/8.
The equation becomes 6/8 + x = 7/8.
Now, pay attention to the numerators. What number adds to 6 to get to 7? The answer is 1. Remember, the denominators must be the same, so the final answer is x = 1/8.
)) Matt's bill for breakfast at a restaurant was $91. He left an 18% tip. What was the total
cost of his breakfast, including tip?
Answers
Answer:
$107.38
Step-by-step explanation:
$91 (the price) multiplied by the percentage 18% (91 x 18 = 1630) (1638/100=16.38 [the tip})
$91 (th original price) + 15.38 (the tip) = $108.38 (final price)
Find the unit rate.
18 books in 3 boxes = (
books per box
Answers
Answer:
Step-by-step explanation:15 books in 3 boxes =
books per box
Final answer:
The unit rate of 18 books in 3 boxes is 6 books per box, which is obtained by dividing the total number of books by the total number of boxes.
Explanation:
To find the unit rate of books per box when you have 18 books in 3 boxes, you need to divide the total number of books by the total number of boxes. This is a simple division problem:
Write down the number of books and the number of boxes: 18 books, 3 boxes.Divide the number of books by the number of boxes: 18 \/ 3 = 6 books per box.So, the unit rate is 6 books per box.
Help me please thank u
Answers
bonnie runs 1 2/3 times as far as john each day if bonnie runs 5 miles on monday 3 1/2 miles on tuesday and 5 3/4 miles on wednesday how many miles did john run in all those three days
Answers
Answer:
3 miles on Monday
2¹/₁₀ miles on Tuesday
3⁹/₂₀ miles on Wednesday
Step-by-step explanation:
We are told that Bonnie runs 1⅔ (⁵/₃) times as far as John each day
This means that John runs ³/₅ times as far as Bonnie.
MONDAY:
Bonnie runs 5 miles on Monday, therefore, John runs:
³/₅ * 5 = 3 miles
TUESDAY:
Bonnie runs 3½ (⁷/₂) miles on Tuesday, therefore, John runs:
³/₅ * ⁷/₂ = ²¹/₁₀ = 2¹/₁₀ miles
WEDNESDAY:
Bonnie runs 5³/₄ (²³/₄) miles on Wednesday, therefore, John runs:
³/₅ * ²³/₄ = ⁶⁹/₂₀ = 3⁹/₂₀ miles
A line that is parallel to y - x = 8 would have a slope of:
Answers
Answer:
1
Step-by-step explanation:
Rearrange y-x=8 to y=x+8
parallel lines have the same slope
so lines slope is 1
Giovanna owns a farm. She is going to randomly select one animal to present at the state fair. She has 6 pigs, 7 chickens, and 10 cows. What is P (chicken)
Answers
Answer:
P(chicken) ≈ 0.3
Step-by-step explanation:
Giovanna will select one animal from 6 pigs or 7 chickens or 10 cows to present at the state fair. From the question, there are a total of 6 + 7 + 10 = 23 animals to choose from.
If she selects a chicken, then P(chicken) = 7/23 = 0.304
P(chicken) ≈ 0.3
Answer:
7/23 OR 0.304...826
Step-by-step explanation:
Please refer to the attached image for explanations
z/8 + 2 = -15
The solution is z = ______.
Answers
Look at the attached picture⤴
Hope it will help u..
Answer:
Z = -136
Step-by-step explanation:
z/8 + 2 = -15
-2 -2
Z/8 = -17
Z/8 X 8 -17 X 8
Z = -136
Consider this equation:
-2x - 4 + 5x = 8
Generate a plan to solve for the variable. Describe the
steps that will be used.
Combine like terms
Answers
Answer:
x=4
Step-by-step explanation:
Answer:
Solve for the (number or thing that changes), so you need to (separate far from others)/get x by itself
-2x - 4 + 5x = 8 First I want to combine like terms (-2x and 5x)
-4 + 3x = 8 (Add 4 on both sides)
3x = 12 Then divide 3 into both sides to get x by itself
x = 4
Combine like terms (add the 5x to the -2x to get 3x). Move the -4 to the other side to get 3x= 12. Divide both sides by 3 to get x=4. Apply the addition property of (a state where all things are equal), Apply the division property of (a state where all things are equal) to divide both sides by 3, Finally, check the solution by substituting 4 into the original equation.
*PLEASE MAKE TEXT INTO OWN WORDS IF POSSIBLE
5) Jane likes to exercise daily. The table on the Google Doc shows the number of
calories y she burns by exercising steadily for x minutes. How many calories
would she burn by exercising for 29 minutes? *
Answers
Answer:
29xy
Step-by-step explanation:
Answer:
319
Step-by-step explanation:
just because work I don't wanna type
Which equation has no solution?
O
4(x + 3) + 2x = 6(x + 2)
5+2(3 + 2x) = x + 3(x + 1)
5(x + 3) + x = 4(x + 3) + 3
4 + 6(2 + x) = 2(3x + 8)
O
Answers
Answer:
5 + 2(3 + 2x) = x + 3(x + 1)
need math help!! answer choices are 80 , 40, 20, and 60
Answers
Answer:
60
Step-by-step explanation:
The corresponding angles of the triangles are given, y + 10 and 2y - 40. You need to first find the value of the variable (in this case, y), and to do this, you need to set them equal to one another:
y + 10 = 2y - 40
Subtract y from both sides:
y + 10 = 2y - 40
-y -y
____________
10 = y - 40
Add 40 to both sides:
10 = y - 40
+40 +40
________
50 = y
Now that we have the value of y, you need to plug the value into one of the expressions (either one will come out with the same answer):
y + 10
50 + 10 = 60
OR
2y - 40
2(50) - 40
100 - 40 = 60
How do the slopes of the lines created by each table compare?
Answers
Answer:
The Correct Answer is B
Step-by-step explanation:
Answer:
The correct answer is B. The slope of the Wholesale table is Three-fourths of the slope of the Public table.
Step-by-step explanation:
NEED HELP ASAP! I WILL MARK YOU AS BRAINLIEST!
Answers
Answer:
3/8 is the probability
Step-by-step explanation:
A submarine is descending at a rate of 7 feet per second.
The two variables are:
f = the number of feet the sub descends
s = the number of seconds
The independent variable, [Blank 1 ]
causes a change in
the dependent variable [Blank2].
Opionts for BLANK1
A) The number of secounds.
B) The number of feet the sub descends.
C)The rate the sub descends.
D)The color of the sub.
Options for BLANK2
A)The number of secounds
B) The number of feet the sub descends.
C)The rate the sub descends
D)The color of the sub.
(Help!)
Answers
The independent variable is; A: The number of secounds.
The dependent variable is; B) The number of feet the sub descends.
What is the independent and dependent variable?
A dependent variable depends on another variable in a given data while an independent variable does not depend on any other variable.
We are told that the submarine is descending at a rate of 7 ft/s. Now, this means that for every second, he descends at a rate of 7ft. Thus, the more the number of seconds, the more the distance covered.
Thus, the number of feet depends on the time taken in seconds and such the independent variable is the the number of seconds while the dependent variable is the number of feet the sub descends.
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Answer:
Step-by-step explanation:
What is the volume of the regular pyramid?
A. 291 cm^3
B. 336 cm^3
C. 168 cm^3
D. 392 cm^3
Answers
Answer:
Option (B) 336 cm³
Step-by-step explanation:
Height of the Regular Pyramid = 14 cm
Base area of the Regular Pyramid = 1/2 * Side²
Area of the Regular Pyramid = 1/3 * Base area * Height
= 1/3 * 14 * (1/2 * Side²)
= 1/3 * 14 * (1/2 * 12²)
= 1/3 * 14 * (1/2 * 144)
= 1/3 * 14 * 72
= 24 * 14
= 336 cm³
So, Option (B) 336 cm³ is the correct Option.
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