A triangle has angle of 30 degree, 60 degree, 90 degree. It is dilated by a scale of 3. Give the angle measures of the dilation of the triangle.
Please help me with this question and explain your answer too...
Answers
Answer:
No matter what scale factor is dilated, the angles will not change.
My explanation:
A 30-60-90 right triangle (literally pronounced "thirty sixty ninety") is a special type of right triangle where the three angles measure 30 degrees, 60 degrees, and 90 degrees. The triangle is significant because the sides exist in an easy-to-remember ratio: 1:√3:2.
That is to say, the hypotenuse is twice as long as the shorter leg, and the longer leg is the square root of 3 times the shorter leg. You might also remember it as "X, 2X, and X roots of 3", which is how I remember it, but then you have to remember that 2X is actually the longest side, not X roots of 3.
Which side is which? The side opposite the 30 degree angle will have the shortest length. The side opposite the 60 degree angle will be √3
times as long, and the side opposite the 90 degree angle will be twice as long. The triangle below diagrams this relationship. Remember that the longest side will be opposite the largest angle, and the shortest opposite the smallest angle.
Hopefully this helped, if not HMU and I will try to get you a better answer! :)
Related Questions
Select the correct answer.
Which set of coordinates satisfies the system of equations y = x − 3 and y = -2x + 1?
A
B
C
D
Answers
Answer:
it is C
Step-by-step explanation:
9. If f(x)=-2x^2+4x-6,
then f(2)=
Answers
Answer:
f(2) = -6
General Formulas and Concepts:
Order of Operations: BPEMDAS
Substitution and Evaluation
Step-by-step explanation:
Step 1: Define
f(x) = -2x² + 4x - 6
f(2) is x = 2
Step 2: Solve
Substitute: f(2) = -2(2)² + 4(2) - 6Exponents: f(2) = -2(4) + 4(2) - 6Multiply: f(2) = -8 + 8 - 6Add: f(2) = -6−3x−7<14
please help me
Answers
Answer:
x > -7
General Formulas and Concepts:
Order of Operations: BPEMDAS
Step-by-step explanation:
Step 1: Define inequality
-3x - 7 < 14
Step 2: Solve for x
Add 7 to both sides: -3x < 21Divide -3 on both sides: x > -7Here we see that any value greater than -7 would work as a solution of x.
Step-by-step explanation:
-3x-7<14
-3x<21
3x>-21
x>-21/3
x>-7
If G is the incenter of ABC, find the each measure
m
m
Answers
Answer: m angle ABC = 44
m angle CAG = 54
Step-by-step explanation:
His parcel is a cuboid with dimensions 10 cm, 20cm and 40 cm. 20 cm 10 cm 40 cm to scale He looks at the prices of two companies, WeDeliver and GoParcels. Not drawn WeDeliver Total cost: Sum, in cm, of the 3 dimensions * £0.80 Find the cost of sending the parcel with each company. Give each of your answers
Answers
Answer:
For WeDeliver= $224
For GoParcels = $56
Step-by-step explanation:
Since we are told his parcel is a cuboid with dimensions 10cm, 20cm, and 40 cm, it means the parcel consists of 4 edges of 10 cm, 4 edges of 20 cm, and 4 edges of 40 cm.
For WeDeliver, the Total Cost is:
Sum, in cm, of the dimensions x 0.80, which is, (10cm *4) + (20cm *4) + (40cm *4) = 280cm x 0.80 = $224. While
For GoParcels, the Total Cost is:
Total area, in [tex]cm^{2}[/tex], of all 6 faces, x .02
Remember that a cuboid has six (6) faces or sides, so the total area would be gotten by taking note of the length of each visible side of the parcel and then multiplying to get the other side after which we sum after doing so we get:
[tex]800^{cm2}[/tex] for front side[tex]800^{cm2}[/tex] for the backside[tex]400^{cm2}[/tex] for the top[tex]400^{cm2}[/tex] for the bottom[tex]200^{cm2}[/tex] for the left side[tex]200^{cm2}[/tex] for the right side.Total area = [tex]2,800^{cm2}[/tex] * 0.02 = $56
Answer:
Step-by-step explanation:
224 56
0 is a rational number (True or false).
Answers
Answer:
True
Step-by-step explanation:
you can't really explain it but I know it is a rational answer
confused!!! help out.
Answers
Answer: The mistake is that david messed up on the inverse operation rules. He should have subtracted 2x, not add, and same goes to adding 2 to 33. He should have subtracted 2 not added it.
Step-by-step explanation:
7x - 2 = 2x + 33
7x - 2x - 2 = 33
5x - 2 = 33
5x = 35
x = 7
Kara is sending a gift to her grandmother. The gift is wrapped in a cube-shaped box with side lengths of 6 inches. She wants to use the shipping box that is closest to the size of her gift. The table shows the cube-shaped shipping boxes that the post office has available for her to use.
Which shipping box should Kara use?
A. Box A
B.Box B
C.Box C
D.Box D
Answers
Answer:
C. Box c
Step-by-step explanation:
Took this assignment the other day
Hope this helped
Answer:
C
Step-by-step explanation:
box c
A quadrilateral has vertices A, B, C, and D. A line of reflection is drawn so that A is 6 units away from the line, B is 4 units away from the line, C is 7 units away from the line, and D is 9 units away from the line. When quadrilateral ABCD is reflected about the line of reflection to create a new quadrilateral A'B'C'D', which resulting point is closest to the line of reflection? (1 point) O A' O B O D' OC
Answers
Answer:
The correct option is O B'
Step-by-step explanation:
We have a quadrilateral with vertices A, B, C and D. A line of reflection is drawn so that A is 6 units away from the line, B is 4 units away from the line, C is 7 units away from the line and D is 9 units away from the line.
Now we perform the reflection and we obtain a new quadrilateral A'B'C'D'.
In order to apply the reflection to the original quadrilateral ABCD, we perform the reflection to all of its points, particularly to its vertices.
Wherever we have a point X and a line of reflection L and we perform the reflection, the new point X' will keep its original distance from the line of reflection (this is an important concept in order to understand the exercise).
I will attach a drawing with an example.
Finally, we only have to look at the vertices and its original distances to answer the question.
The vertice that is closest to the line of reflection is B (the distance is 4 units). We answer O B'
A class of 20 students wants to form a committee to fundraise for cancer research. If the committee is formed with four students, how many possible committees can be made?
Answers
Answer:
the answer is 24 i just did this test
Step-by-step explanation:
Can someone please help me with this
Answers
Random Question That You Can Answer For Points.
1) Which is the better buy, 6 bagels for $3.39 or 8 bagels for $5? Explain.
2) What is 7lb 4 oz converted to ounces?
3) Mr. Swanson bought a package of 10 disposable razors for $6.30. He found that each razor only lasted 1 week. What Was The Cost Per Day?
Answers
Answer:
3) is 9 cents
Step-by-step explanation:
$6.30/70 days = $0.09 = 9 cents
Q4: Write the equation in slope-intercept form of the line that is perpendicular to
the graph of each equation and passes through the given point. y = 2x - 3; (-5,3
Answers
Answer:
y= −1/2x+ 1/2
Step-by-step explanation:
Find the negative reciprocal of the slope of the original line and use the point-slope formula
y-y1=m(x-x1) to find the line perpendicular to y=2x−3.
Complete the missing value in the solution to the equation.
Answers
When Jon rides his bike for 40 minutes, he burns 200 calories. How many calories does he burn if he rides his bike for 2 hours?
Answers
Answer:
600 calories
Step-by-step explanation:
120 (# of minutes in 2 hours) divided by 40 is 3, so multiply 200 by 3 and you get 600
Answer:
600 calories burnt
Step-by-step explanation:
What I started with is 200/40=5 calories burned per min
60 plus 60=120
5x120=600
Hope this helps
What is the slope?
WILL MARK BRAINLIEST!! !!
(picture included ^^^)
Answers
-5
Slope: rise/run
rise/run: y/x
it goes down 5 and moves to the right once that means it's -5/1 or -5.
Answer:
The answer is -5/1 or -5
Step-by-step explanation:
Use synthetic division to find (x^2+3x–4)÷(x+4)
Answers
Answer:
X^2-x- 8/x+4
Step-by-step explanation:
X+4 becomes a negative 4
Then multiply -4 by the first number which is 1 so -4×1 is -4. Then subtract -4 by the second number 3. This gives you -1 so multiply that by 4 which is -4. Then subtract 4 from the third number -4. So that'll give you -8. Then add an x-value to every number except the very last number as that number will be you remainder.
a^2 + 2a^2 = b^2
solve for b
Answers
Answer:
b=a √3
Step-by-step explanation:
help and please explain
Answers
There are 47 tables of 4 and 16 tables of 5 how many customers are in the restaurant
Answers
Answer:
268
Step-by-step explanation:
We need to multiply and add:
47 tables of 4 means there are a total of 47 * 4 = 188 people at these tables.
16 tables of 5 means there are a total of 16 * 5 = 80 people at these tables.
Add them up to get: 188 + 80 = 268 customers total.
A recipe for beef fajitas uses 5 pounds of beef to make 20 meals. How many pounds of beef are needed to make 80 meals?
Answers
Answer:
20 pounds
Step-by-step explanation:
80/20 =4
5x4=20
For a given input value xxx, the function ggg outputs a value yyy to satisfy the following equation. -4x-6=-5y+2−4x−6=−5y+2minus, 4, x, minus, 6, equals, minus, 5, y, plus, 2 Write a formula for g(x)g(x)g, left parenthesis, x, right parenthesis in terms of xxx. g(x)=g(x)=g, left parenthesis, x, right parenthesis, equals
Answers
Answer:
The function g(x) that outputs a y value to satisfy the equation -4·x - 6 = -5·y + 2 is g(x) = y = 4/5·x + 8/5
Step-by-step explanation:
The y value of the equation that the required function g(x) outputs = -4·x - 6 = -5·y + 2
Therefore, we have;
-4·x - 6 = -5·y + 2
-5·y + 2 = -4·x - 6
-5·y = -4·x - 6 - 2 = -4·x - 8
Therefore, y = (-4·x - 8)/(-5) = 4/5·x + 8/5
y = 4/5·x + 8/5
Which gives;
g(x) = y = 4/5·x + 8/5
Therefore;
The function g(x) that outputs a y value to satisfy the equation -4·x - 6 = -5·y + 2 is g(x) = y = 4/5·x + 8/5
Pls help . due in a few minutes
Answers
— = —
24 X
——————-
36x24 = 864
864 divided by 54= 16
16+5= 21
X = 21
(I THINK!!)
Describe how
you might model each on a number line.
1. You owe your friend $10.
a.
You borrow an additional $5.
What's the Difference?
Answers
Answer:
If you owe your friend 10 dollars that would be -10 on a number line and then you borrow 5 dollars which means you owe that money too and you would continue to move left on the number line 5 spaces.
Step-by-step explanation:
WILL GIVE EXTRA POINTS
Assignment name: solving angles pairs
Answers
Answer:
25
Step-by-step explanation:
Answer:
x = 65
Step-by-step explanation:
Corresponding angles always equal each other;
2x + 5 = 135
Subtract 5 from both sides;
2x = 130
Divide both sides by 2;
x = 65
f (x) = 7(x-1)+8, what is the value of f(4)
Answers
Answer:
29
Step-by-step explanation:
x=4. 4-1=3. 7x3=21. 21+8=29. Viola
Answer:
3/7
Step-by-step explanation:
IXL Special Rights Triangle
Answers
Step-by-step explanation:
Hope this helps, happy learning
Is the fraction for 7/54 a rational number or irrational number?
Answers
Graph the image of this figure after a dilation with a scale factor of 2 centered at the origin.
Answers
Answer:
The graph of the image is attached below.
Step-by-step explanation:
Let the points of the figure
A(1, -1)B(3, -1)C(1, 2)D(3, 2)We need to find the image coordinates after the dilation by a scale factor of 2 centered at the origin.
The rule of dilation by a scale factor of 2 is:
Dilation with scale factor 2, multiply by 2.
(x, y) → (2x,2y)
The coordinates of the vertices of the image according to this rule will be:
(x, y) → (2x,2y)
A(1, -1) → (2(1),2(-1)) = A'(2, -2)
B(3, -1) → (2(3),2(-1)) = B'(6, -2)
C(1, 2) → (2(1),2(2)) = C'(2, 4)
D(3, 2) → (2(3),2(2)) = D'(6, 4)
Therefore, the coordinates of the vertices of the image will be:
A'(2, -2)B'(6, -2)C'(2, 4)D'(6, 4)The graph of the image is attached below.
help with this plzzzz, actual answers only plzzz
Answers
Answer: x = 16 and the measure of angle is 59°.
Step-by-step explanation:
Complementary angles add up to 90 degrees. Meaning that, if you add the two angles together and add them to equal 90 you can solve for x.
(x + 15) + (3x + 11) = 90 First combine like terms.
4x + 26 = 90 Subtract 26 from both sides.
-26 -26
4x = 64
x = 16
If x is equal to 16, then we can find the measure of angle N by inputting the value of x into the expression for the measure of angle N.
m∠N = 3(16) + 11
m∠N = 48 + 11
m∠N = 59