Dilate ABC below using A as the center and a
scale factor of 2. Leave all construction marks?
Answers
Explanation:
Use your straightedge to extend segment AB into ray AB. This means you'll have it start at A and go on forever through B. Repeat these steps to turn segment AC into ray AC.
The two rays join at the vertex angle A. Point A is the center of the universe so to speak because it's the center of dilation. We consider it an invariant point that doesn't move. Everything else will move. In this case, everything will move twice as much compared to as before.
Use your compass to measure the width of AB. We don't need the actual number. We just need the compass to be as wide from A to B. Keep your compass at this width and move the non-pencil part to point B. Then mark a small arc along ray AB. What we've just done is constructed a congruent copy of segment AB. In other words, we've just double AB into AB'. This means the arc marking places point B' as the diagram indicates.
The same set of steps will have us construct point C' as well. AC doubles to AC'
Once we determine the locations of B' and C', we can then form triangle A'B'C' which is an enlarged copy of triangle ABC. Each side of the larger triangle has side lengths twice as long.
Note: Points A and A' occupy the same exact location. As mentioned earlier, point A doesn't move.
Related Questions
100 POINTS!!!
PLEASEEEE HELPPP ASAPPPP!!!
Given the graph of the quadratic function, identify the solutions.
Answers
[tex]f(x) = 0[/tex]
Since the function intersects the x-axis at the point (2,0) & (-4,0), we can then say:[tex]solution = \\ x = 2 \\ x = - 4[/tex]
What is the value of X
Answers
Answer:
x = 7
Step-by-step explanation:
=> 9/72 = 3x-20/56
=> 9×45/72 = 3x-20
=> 27/3 = x
=> x = 7
The premiter of a rectangular rug is 40 feet. Its length is 12 feet. What is the width
Answers
40= 2(12) + 2W
40= 24 + 2W
16 = 2W
W= 8
HELP QUIKCLY PLEASE DKNT SOAMM IM BEGGING
Jonah runs a bakery, and his most popular item is cinnamon raisin bread. He has two options to purchase raisins.
Grocery store: 9 ounces for $3.75
Bulk order: 5 pounds for $15.25
If Jonah buys the raisins in bulk, what is his savings per ounce? (16 ounces = 1 pound.)
A. $0.11/ounce
B.$0.14/ounce
C. $0.19/ounce
D.$0.23/ounce
Answers
Answer:
C. $0.19/ounce
Step-by-step explanation:
We know that 16 ounces = 1 pound but we have 5 pounds,
So, we do 5 times 16.
We get 80 (ounces) and we divided ounces by total cost ($15.25)
We get our answer:
$0.19/ounce
trigonometry *find the value of x*
Answers
[tex] \cos(x) = \frac{b}{h} = \frac{3.8}{6.2} \\ \cos(x) = 0.612 \\ x = \cos^ {- 1} (0.612) = 51 \degree[/tex]
Answer:
x= 61 degrees
Step-by-step explanation:
1. To use trigonometry, you need to take into consideration SOH CAH and TOA. SOH is for sine, CAH is for cosine, and TOA is for tangent.
2. Figure out which one of these you can use. In this case, that would be CAH, which means you use cosine.
3. CAH means the cosine of x equals the adjacent over the hypotenuse. Adjacent is the value that is next to the angle. The hypotenuse is the value of the slant.
4. With that in mind, all you do is plug it into a calculator like so: 3.8/6.2
5. Lastly, you take that answer, move the decimal point up two places, and that's your answer.
Please help me please please please please
Answers
Answer:
Step-by-step explanation:
[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1}}[/tex]
lets do (1.5, 3.6) and (2.5, 6)
(6 - 3.6) / (1.5 - 2.5)
put answer in comment and i will mark
please put brainest
HONESTLY help me I don’t understand math
Answers
Answer:
15. 2m
17. 1.5m
Step-by-step explanation:
just square root it
25x^2-40x+16
please help me ahhh i need this im failing algebra bc im missing assignments
Answers
12-14 is equally to 2 and here is the answer
Gina and Derek saw some trees on their walk through the park. They made a diagram showing the distance between trees.
A line diagram shows 5 points. The points are labeled start, maple tree, oak tree, pine tree, and end. The distance from the start to the maple tree is 5 yards. The distance from the maple tree to the end is 28 and two-sixths yards. The distance from the oak tree to the pine tree is 11 and three-sixths yards. The distance from the pine tree to the end is 7 and five-sixths yards.
What is the distance between the maple tree and the oak tree?
A.
3
4
6
yards
B.
9
yards
C.
19
2
6
yards
D.
23
2
6
yards
Answers
The difference between the maple and oak trees is the difference
between [tex]28\frac{2}{6}[/tex] and ([tex]11\frac{3}{6}[/tex] + [tex]7\frac{5}{6}[/tex] ), which is 9 yards.
Response:
The distance between the maple tree and the oak tree is option B.
B. 9 yards
Which methods can be used to determine the distances on the line diagram?The given parameters are;
Start → Maple tree → Oak tree → Pine tree → End
The distance from the start to the maple tree = 5 yards
The distance from the maple tree to the end = [tex]\mathbf{28\frac{2}{6}}[/tex] yards
Distance from the oak tree to the pine tree = [tex]11\frac{3}{6}[/tex] yards
Distance from the pine tree to the end = [tex]\mathbf{7\frac{5}{6}}[/tex] yards
Required:
The distance between the maple tree and the oak tree
Solution;
From the maple to the end, d is given as follows;
d = Maple tree to the end - Distance from the oak tree to the end
Oak to the end = Oak to pine + Pine to end
Therefore;
[tex]Oak \ to \ the \ end = 11\frac{3}{6} + 7\frac{5}{6} = 19\frac{1}{3}[/tex]
Which gives;
[tex]Maple \ to \ the \ oak \ tree = 28\frac{2}{6}- 19\frac{1}{3} = 9[/tex]
The distance from the maple to the oak tree = 9 yards
The correct option is; B. 9 yards
Learn more about fractions here:
https://brainly.com/question/26794609
how do you multiply and divide with scientific notation
Answers
Answer: To multiply two numbers in scientific notation, multiply their coefficients and add their exponents. To divide two numbers in scientific notation, divide their coefficients and subtract their exponents.
Step-by-step explanation:
The sum of
1
2
and
1
5
is between
1
2
and 1.
Is this true yes or no
Answers
Answer:
no
Step-by-step explanation:
the sum of the first is 3 and the sum of the next is 6. neither of them are within the range of 1-2 and 1.
WILL GIVE BRAINLIEST IF CORRECT PLEASE ANSWER!!!!
Solve for x to the nearest tenth.
Answers
Answer:
5.8
Step-by-step explanation:
Pythagorean Theorem:
You have the side 6 and 3. To find x you must make the right triangle.
6-1=5. So the longer side of the tri is 5. Now we will solve:
3^2+5^2=9+25=34. Now we have to square root 34.
[tex]\sqrt{34}[/tex] is approximately = 5.8
Do number 3 pleaseeee
Answers
Answer:
3. 24
Step-by-step explanation:
It's 24 because the formula for that shape is base multiplied by height which base is 8 and height is 3 for 8*3 = 24.
Answer: 24 cm
Step-by-step explanation:
You multiply both sides to find the area. We can pretend if we could cut the left triangle off and add it to the right. Then 8x3= 24
Amy invested $1500 in an account with an interest rate of 6.5%
What will the account balance be in 20 years if the interest is compounded monthly?
Answers
Step-by-step explanation:
p=1500
R=10%
t=20yrs
SI=PTR/100
=1500*10*20/100
=3000
amount(A)=P+I
=1500+3000
=4500
In ΔABC, m∠A = 119° and m∠B = 49°. Which statement about the sides of ΔABC must be true?
Answers
Answer:
It is not true
Step-by-Step:
^ABC, m<A = 119 degrees.
In triangle ABC, side BC is longer and side AB shortest side.
Given that, in ΔABC, m∠A = 119° and m∠B = 49°.
What is the triangle inequality theorem?The triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of lengths of two sides is always greater than the third side.
Using angle sum property, we get
m∠A+m∠B+m∠C=180°
⇒ 119°+49°+m∠C=180°
⇒ m∠C=180°-168°
⇒ m∠C=12°
So, using triangle inequality theorem opposite to angle A, side BC is longer and opposite to angle C, side AB is shortest side.
Therefore, in triangle ABC, side BC is longer and side AB shortest side.
To learn more about the triangle inequality theorem visit:
https://brainly.com/question/1163433.
#SPJ2
What is the ratio of rise to run between the points (-10, 9) and (6, 5)? A. B. 4 C. D. -4
Answers
The ratio of rise to run, which is the slope between the two points is: -1/4.
What is the Slope between Two Points?Slope = ratio of rise to run = change in y/change in x
Given the following points:
(-10, 9) and (6, 5)
Rise = (5 - 9) = -4
Run = (6 -(-10)) = 16
Ratio of rise to run = slope = -4/16 = -1/4.
Therefore, the ratio of rise to run, which is the slope between the two points is: -1/4.
Learn more about slope on:
https://brainly.com/question/3493733
Answer:
-1/4.
Step-by-step explanation:
Took the quiz and it was correct. Hope this helps.
1000 sheets of computer paper for $8.95 find unit rate
Answers
Answer:
The answer is 2.5
Step-by-step explanation:
plus the sum of 1000
Explanation:
8.95/1000 = 0.895 or 0.00895
Elena drove a total of 203 miles last week. She drove 28 miles during the week to run errands and 35 miles each day to go to work and back. What equation can be used to find the number of days, d, that Elena drove to work last week?
Answers
Answer:
ok so the equation will be
35d+28=203
-28
35d=175
divide by 35
d=5
she drove to work 5 times
Hope This Helps!!!
28-203=175
175/35=5
She drove to work 5 days
Please help and show working
A car traveled 281 miles in 4 hours 41 minutes. What was the average speed of the car in miles per hour?
Answers
Answer:
64m/h
Step-by-step explanation:
t (time) = d (distance) /v (speed)
t = 281/4.41
t = 63.7
Help po please "•v•
Salamat :)
Answers
Answer:
06:56 AM =06:56 H
10:44 AM =10:44 H
10:32 AM =10:32 H
01:09 PM =13:09 H
07:00 AM =07:00 H
What is the measure of angle B in the triangle?
this triangle is not drawn to scale
Answers
[Figured it out themselves (see comments), just putting this here so it stops showing up as unanswered]
Please help i don’t understand this :( 3. Triangle BCD has been dilated by a scale factor of 4. What are the new coordinates of Triangle BCD?
Answers
SF (scale factor is 4)
3*4=12
B'(12,-12), C(12,12), D(-12,-12)
how many terms of the A.p 18,16,14 ... be taken so that their sum is zero?
Answers
Answer:
19 terms
Step-by-step explanation:
the sum to n terms of an AP is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
here a₁ = 18 and d = a₂ - a₁ = 16 - 18 = - 2, then solving for n
[tex]\frac{n}{2}[/tex] [ (2 × 18) - 2(n - 1) ] = 0 ( multiply both sides by 2 to clear the fraction )
n(36 - 2n + 2) = 0
n(38 - 2n) = 0 ← distribute parenthesis on left side by n
38n - 2n² = 0 ← factor out 2n from each term on the left
2n(19 - n) = 0
equate each factor to zero and solve for n
2n = 0 ⇒ n = 0
19 - n = 0 ⇒ n = 19
n > 0 , then number of terms is 19
Part A
Directions. Answer each of the following questions.
1. On a train ride cross-country, the trees, buildings, and people appear to be speeding by the
window. This is because the train is our
2. Scientists use the
system for making measurements.
3. Physical science studies the relationships between
and
4. If 6.6 tyrannosaurs weigh 30,000 kg, then what does one tyrannosaur weigh?
5. For most activities, the
makes a handy frame of reference.
Answers
Answer:
1.speed im not a robot tho
Step-by-step explanation:
♡
HELPPPP
does anyone know how to do this
Answers
Answer:
1 13 2 16 3 17 4 21
Step-by-step explanation:
i hope this helps
FOR 21 POINTS
A triangle has an angle measuring 90°, an angle measuring 20°, and a side that is 6 units long. The 6-unit side is in between the 90° and 20° angles.
How many unique triangles can you draw like this?
Answers
Answer:
One
Step-by-step explanation:
Since we have a 90° angle and a 20° angle, the last angle must be 70°.
180° - 90° - 20° = 70°
Now we also have the requirement of a 6-unit side between the 90° and 20° angles.
With all of these requirements, we can only draw one triangle like this since we have an angle, an angle, a required third angle, and a side.
Find the remainder when the polynomial 6x2 + 8x - 2 is divided by x - 2.
Answers
Answer:
38
Step-by-step explanation:
x-2 = 0 → x = 2 put this value in polynomial
6(2)² + 8(2) - 2 = 24 + 16 - 2 = 38
there is another way too. but it's longer. you can see it in picture.
Answer:
Did the quiz :)
Step-by-step explanation:
Work out
(6.7 x 10^2) + (9 x 10^3)
Х
Give your answer in standard form
Answers
9.76 x 10^3
Step by step:
1. (6.7 * 10 ^ 2) + (9 * 10 ^ 3)>> (6.7 * 100) + (9 * 10 ^ 3)
2. (6.7 * 100) + (9 * 10 ^ 3)>> (670) + (9 * 10 ^ 3)
3. 670 + (9 * 10 ^ 3)>> 670 + (9 * 1000)
4. 670 + (9 * 1000)>> 670 + (9000)
5. 670 +9000>> 9760
6. 9760>> 9.76 × 10^3
Nick found the quotient of 8.64 and 1.25 × 105. his work is shown below. 1. (8.64 × 101) (1.25 × 105) 2. (8.64 1.25 ) (101 105 ) 3. 6.912 × 10–4 analyze nick’s solution. is he correct? if not, what was his mistake? yes, nick is correct. no, the power multiplied to 8.64 should have an exponent of 0. no, he needed to subtract the coefficients. no, he needed to add the exponents.
Answers
The answer will be the power multiplied to 8.64 should have an exponent of 0.
What is the mistake done by Nick?The given expressions are
[tex]=\dfrac{8.64\times 10^1}{1.25\times 10^5}[/tex]
[tex]=(\dfrac{8.64}{1.25}) (\dfrac{10^1}{10^5} )[/tex]
[tex]=6.912\times10^{-4}[/tex]
The power of the number multiplied to 8.64 is 1 which will make it 86.4
So this power of the number should be 0
Thus the answer will be the power multiplied to 8.64 should have an exponent of 0.
To know more about Quotient follow
https://brainly.com/question/673545
Answer:
B
Step-by-step explanation:
No, the power multiplied to 8.64 should have an exponent of 0.
HII SOMEONE HELPPP PLEASE ‼️‼️‼️
Answers
Answer:
Step-by-step explanation:
Fame age be x and sister's age = y
Five years ago:
Fame's age = x - 5
His sister's age = y -5
[tex]x -5 =\dfrac{1}{6}*(y-5)\\\\[/tex]
Multiply the entire equation by 6
[tex]6*(x-5)=6*\dfrac{1}{6}(y-5)\\[/tex]
6x- 6*5 = y-5
6x - 30 = y - 5
6x -30 + 5 = y
y = 6x - 25--------------(I)
Three year after:
Fame's age = x + 3
His sister's age = y + 3
2*(x +3) = y + 3
2x + 6 = y + 3
2x + 6 -3 = y
y = 2x + 3 -------------(II)
Substitute y = 6x - 25 in equation (II)
6x - 25 = 2x + 3
Add 25 to both sides
6x = 2x + 3 + 25
6x = 2x + 28
Subtract 2x from both sides
6x - 2x = 28
4x = 28
Divide both sides by 4
x = 28/4
x = 7
Substitute x = 7 in equation (I)
y =6x - 25
y = 6*7 - 25
= 42 - 25
y = 17
Fame's age = 7 years
His sister's age = 17 years
4) Let the distance between X and Y be D
Time take by Wie = distance÷ speed
[tex]= \dfrac{D}{75}[/tex]
Time taken by Wary = distance ÷ speed
[tex]=\dfrac{D}{80}[/tex]
Time difference = 10 minutes.
As Wary drives in high speed that Wie, he takes less time
[tex]\dfrac{D}{75}-\dfrac{D}{80}= \dfrac{10}{60}\\\\[/tex]
LcM = 1200
[tex]\dfrac{16D}{75*16}-\dfrac{15D}{85*15}=\dfrac{1}{6}\\\\\\\dfrac{16D-15D}{1200}=\dfrac{1}{6}\\\\\\\dfrac{D}{1200}=\dfrac{1}{6}\\\\\\D=\dfrac{1}{6}*1200\\\\\\[/tex]
D = 200 Km