Answers
Step-by-step explanation:
I don't know what constructions you were taught.
a "similar" triangle is a triangle with exactly the same angles as the other triangle, but the lengths of all sides are stretched or shortened by the same scaling factor f.
by saying 1:2 she means the second triangle should have sides with twice the lengths of the first triangle (f=2).
and the extra challenge - same basic thing. she allows you to pick one of the two triangles as reference. and then you need to draw a third triangle (again with the same angles) with the side lengths extended by the scaling factor f of 4/3.
I would draw the triangles right on top of each other with the same starting corner (let's call it A) for all 3.
we would get the triangles ABC, AMN and AXY.
the points B and C would be then halfway on AM and AN.
and M and N would then a bit before X and Y on AX and AY.
the beauty is, you only need to construct 2 sides of every new triangle down to the new endpoints. the third side is automatically scaled correctly, and you only need to connect these new endpoints.
let's assume you draw a triangle (just very simple) ABC with all side lengths being 3. so, AB=3, AC=3, BC=3.
now you draw AMN by extending AB and AC to a side length of 6 (f=2) creating M and N, and you connect M and N.
and then you can create the third triangle AXY by extending AM and AN by a factor of 4/3 to side lengths of 8 (4/3 × 6 = 8) creating new end points X and Y. and you connect X and Y.
and that is it. all 3 triangles are similar (the same angles), and all sides of a triangle have the same length ratio to the sides of the other triangle(s).
Related Questions
Find the surface area of the cone. h = 12 ft, r = 5ft, l = 13 ft
Answers
Answer:
total surface area is 267.14
Answer:
90π ft^2.
Step-by-step explanation:
SA = πr(r + l)
= 5π(5 + 13)
= 90π
Find the values of x and y
Answers
Answer:
x = 54, y = 63
Step-by-step explanation:
117° and the left base angle are adjacent and sum to 180°
base + 117° = 180° ( subtract 117° from both sides )
base = 63°
Since the triangle is isosceles ( congruent legs ) then the 2 base angles are congruent , so y = 63
and x = 180 - (63 + 63) ← sum of angles in a triangle
x = 180 - 126 = 54
Round 8.157 to the nearest hundredth.
Answers
Answer:
I believe the answer is 8.16 pardon me if it's wrong.
Answer:
8.18
Step-by-step explanation:
First, note that 8.175 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:
Integer Part: 8
Fractional Part: 175
To round 8.175 to the nearest hundredth means to round the numbers so you only have two digits in the fractional part.
We use the following rules to round 8.175 to the nearest hundredth:
A) If the last digit in the fractional part of 8.175 is less than 5, then simply remove the last the digit of the fractional part.
B) If the last digit in the fractional part of 8.175 is 5 or more and the second digit in the fractional part is less than 9, then add 1 to the second digit of the fractional part and remove the third digit.
C) If the last digit in the fractional part of 8.175 is 5 or more and the second digit in the fractional part is 9, and the first digit in the fractional part is less than 9, then add 1 to the first digit in fractional part and make the second digit in fractional part 0. Then remove the third digit.
D) If the last digit in the fractional part of 8.175 is 5 or more and the second digit in the fractional part is 9, and the first digit in the fractional part is 9, then add 1 to the integer part and make the fractional part 00.
With 8.175, rule B applies and 8.175 rounded to the nearest hundredth is:
8.18
Find the value of x in the isosceles triangle shown below.
13
13
20
10
Answers
Answer:
X=12
Step-by-step explanation:
Khan Academy
A car travels 60 miles in 50 minutes. Calculate the average speed of the car in mph.
Answers
Explanation:
To get the car's average speed, all you really need to know is
the total distance travelled by the car
the total time it needed to cover that distance
In your case, you know that the car travelled for a total of 60 miles and that it needed 50 minutes to do so.
Since you need to express the average speed in miles per hour, not miles per minute, you're going to have to use a simple conversion factor to get you from minutes to hours.
First, calculate the average speed in miles per minute
v
avg
=
d
total
t
total
v
avg
=
60 miles
50 minutes
=
1.2 mi/min
Now convert this value to miles per hour
1.2 miles
1
minute
⋅
60
minutes
1 hour
=
72 mph
Answer:
1.2mph
5x10=50
so it 1
if 2x5=10=.2
then 2x5=10+50=1.2 due to the .1=5
or just do 60/50=1.2
Step-by-step explanation:
The table shows the median annual salaries of a librarian associated with two levels of education.
Based on the data in the table, how much more money would a person with a master’s degree earn than a person with a bachelor’s degree over 15-year career?
Answers
Answer:
C) $160,500
Step-by-step explanation:
52,500×15=787,500
63,200×15=948,000
948,000- 787,500= 160,500
How can I find the area of the shaded area?
Answers
In the diagram below, 'AB is parallel to cd. What is the value of y?
Answers
60 jdfjbdjdjdjd ah inebauwkwhiwiwnais
Answer:
60
Step-by-step explanation:
I will mark as brillianest...plzz solve the question.
Factorize:
1) 6x²+x-2
Answers
Answer:
( 2 − 1 ) ( 3 + 2 )
Step-by-step explanation:
6 ² + − 2
6x² + 4 - 3 -2
2 ( 3 + 2 )− 1 ( 3 +2 )
( 2 − 1 ) ( 3 + 2 )
Plz help me and plz no links first person to answer it correctly will get brainliest
Answers
Answer:
B
Step-by-step explanation:
The standard form of a circle equation is:
(x - h)^2 + (y - k)^2 = r^2
where (h, k) is the center and r is the radius.
We can plug in the given values to get:
(x - 1)^2 + (y - 2)^2 = 3^2
This is the sam as option B
Can somebody please help me
Answers
Answer:
39
Step-by-step explanation:
78/2 = 39
1. Mary noticed 5 ants in her pantry on Monday. On Tuesday she counted 15 ants in the pantry. On Wednesday she counted 45 ants in the pantry,
Day Ants
Monday 0 5
Tuesday 1 15
Wednesday 2 45
Part A Determine an exponential function model (y=ab) to represent the number of ants in the pantry in terms of the number of elapsed days. Explain how you arrived at your model.
Part B Does the problem situation represent exponential growth or decay? Justify your reasoning.
Answers
so what is really the answer?
why is this true 7a+4-2a=7a+ -2a+4
Answers
Answer:
Step-by-step explanation:
Notice that both sides involve 7a - 2a, and both involve 4. By the associative property the order in which the addends appear is immaterial; the left side therefore equals the right side.
Answer:
7a + 4 - 2a = 7a - 2a + 4
5a + 4 = 5a + 4
Step-by-step explanation:
7a + 4 - 2a = 7a - 2a + 4
7a + 4 - 2a
Rearrange the terms.
7a - 2a + 4
Combine like terms.
5a + 4
The left side simplifies to 5a + 4.
7a - 2a + 4
5a + 4
The right side also simplifies to 5a + 4.
find the area of the figure below
Answers
Answer:
I think the answer would be 3,200
Step-by-step explanation:
Marking brainliest
Please help!
Answers
Answer:
The equation for the speed of the train is: 162 = 3x
I think the speed of the train is 54 miles per hour
Step-by-step explanation:
We know that:
y = distance in miles
x = speed of train (miles/hour)
t = time traveled from the departing station (hours)
The equation: y = xt is given, we can therefore substitute the give values:
y = xt or tx
162 = 3x (This would be the equation)
Now we can find x by diving 3 on both sides of "="
162/3 = x
54 = x (This would be the speed of train)
Hope this helps!
Speed is 54mph
calculate the surface area of the rectangular prism to the tenth of a square centimetre
Answers
Answer:
A=152.32 cm^2
Step-by-step explanation:
A=2(wl+hl+hw)
A=2(6.8*3.4+5.2*3.4+5.2*6.8)
A=2(23.12+17.68+35.36)
A=2(76.16)
A=152.32
Marking brainliest!
Don’t use the internet pls!
Answers
I would say based on Lincoln's success and that Lincoln helped inspire Martin. Lincoln won the Civil War which helped open the minds of other people who were pro-slavery so that's what I mean about the success.
What is the length of each segment?
Segment AB: from A(-2,1) to B(-2, 5)
Answers
Answer:
[tex]length = \sqrt{ {( - 2 - ( - 2))}^{2} + {(5 - 1)}^{2} } \\ = \sqrt{16} \\ = 4 \: units[/tex]
Answer:
4 units
Step-by-step explanation:
hey! please help i’ll give brainliest
Answers
Answer: A goverment by people
Step-by-step explanation:
HELP ME PLSSS. ANSWER NEEDS TO BE EXPLAIN STEP BYE STEPS.CORRECT ANSWER WILL BE BRAINLIST.
Answers
Solution given.
Volume of rectangular prism=2400cm³
area of base*height=2400cm³
For A
satisfied for all
for B
not satisfied for all
for C
not satisfied for all
for D.
not satisfied for all
Option A.is your answer.
The sum of the interior angles of the 10-sided polygon on the left is °
Answers
Answer:
1440 it is right because
Step-by-step explanation:
Decagon is a 10-sided polygon.
Formula to find the sum of interior angles of a n-sided polygon is
= (n - 2) ⋅ 180°
By using the formula, sum of the interior angles of the given decagon (10-sided polygon) is
= (10 - 2) ⋅ 180°
= 8 ⋅ 180°
= 1440°
Answer:
The answer is indeed 1440.
Step-by-step explanation:
I need help on this
Answers
Answer:
1200
Step-by-step explanation:
Step 1 convert pounds to ounces
1 pound = 16 ounces
So to convert pounds to ounces we multiply by 16
1500 * 16 = 24000
So there are 24000 ounces in 1500 pounds
Step 2 Find how many 20 ounce containers he can fill.
To find out how many 20 ounce containers he can fill we divide the total amount of ounces of butter that he has by 20
So answer = 24000/20
24000 / 20 = 1200
Therefore he can fill 1200 20 - ounce containers
What is the mean of 53,13,34,41 26,61,34,13,69?
Answers
the 2 is repeating
please help it is due in 10 minutes
Answers
Answer:
1. X= 4
2. X= 1
3. X= 3
4. X= 5
5. X= 7
6. X= -3/4
7. X= 6
8. X= 5
Step-by-step explanation:
Answer:
Look below :)
Step-by-step explanation:
1.x=4
2.×=1
3.x=3
4.x=5
5.x=7
6.x=-0.75
7.x=6
8.x=5
Hope this helps :)
Two forces of 960 pounds and 670 pounds act simultaneously on an object. The angle between the two forces is 34 degrees find the magnitude of the resultant to the nearset tenth.
Answers
Answer:
1561
Step-by-step explanation:
Which of these expressions represents the product of t and 13
A. 13- t
B. 13t
C. 13+ t
D. 13 divided by t
Answers
Answer:
B is your answer for your math problem
What is the slope of the line? PLEASE PLEASE HELP FAST!
Answers
Answer:
slope = 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (1, 2) ← 2 points on the line
m = [tex]\frac{2-0}{1-0}[/tex] = [tex]\frac{2}{1}[/tex] = 2
Can someone help me out with the last three, will mark as brainliest if correct!
Answers
Answer:
x = 65
y = 71
z = 44
Step-by-step explanation:
y = 71 because If two parallel lines are cut by a transversal, then the alternate interior angles formed are congruent
HELP ME WITHS THIS PLEASE, I TRIED DOING IT BUT I can’t
Answers
Answer:
are you sure
Step-by-step explanation:
Answer:
Put an X on D, C, and F
G= 256
A=20
B=560 ( I'm not too sure)
H= 6
E= (I'm sorry I cant do E I have to go)
Step-by-step explanation:
you spin the spinner shown below once. each sector shown has an equal area. what is P(ladybug)
Answers
Answer:
1/5 or 20%
All sectors have an equal area, so that means that all have an equal chance of being landed on. There is only 1 sector containing a ladybug out of all 5 sectors. That means you have a 1 out of 5 chances of landing on the ladybug if you spin once.