Answer:
1. Rotate DEF 90 degrees clockwise about point D (8,1).
2. Translate DEF 8 units up.
3. Reflect DEF about the line x = 6.5.
Step-by-step explanation:
Sample answer for PLATO!
First Rotate DEF 90 degrees clockwise about point D (8,1). then Translate DEF 8 units up. and Reflect DEF about the line x = 6.5.
What is Rigid transformation?Rigid transformation implies that the side lengths and the angle measures of the triangles are preserved when mapping them.
From the question, we have the following as;
The transformation is rigid
The triangles can be mapped onto one another
If the above statement is true, then the triangles are not only similar, but they are also congruent.
This is the angle measures and the side lengths of both triangles would be the same.
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What is the best estimate for 56.23 - 45.9?
A. 9
B. 10
C. 11
D. 15
Answer:
10 Letter B
Step-by-step explanation:
56.23 rounds down to 56 and 45.9 rounds up to 46. So 56 - 46 = 10
Two cyclists are 7 miles apart when they begin biking away from each other in opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of the second cyclist is b miles per hour greater than the speed of the first cyclist.
How many miles does the first cyclist bike in 45 minutes?
Answer: 9 miles
Step-by-step explanation: 12 mph/60 so you can get mpm(miles per minutes)
Multiply the 0.2x45 (0.2 from 12/60 and 45 from how long the first biker had ridden on his bike)
Answer 9 miles
Which graph represents the function f(x) = |x|– 4?
Answer:
It is graph C
Step-by-step explanation:
Answer: Graph C
Step-by-step explanation: On Edge
6 out of the 60 employees at the sports shop are part-time employees. What percentage of the employees at the sports shop work part-time?
Percentage of part time employees = (part-time employees/total employees) * 100 = (6/60) * 100 = 1/10 * 100 = 10%
When t = -3
Work out the value of
4t squared – 6
Answer:
-42
Step-by-step explanation:
t^2^=-9
4x-9=-36
-36-6=-42
Answer:
30
Step-by-step explanation:
4(-3)^2-6
4(9)-6
36-6
30
Choose the lowest common denominator.
2 3 4 5 6 8 10 12
Please solve the problem below
A population of values has a normal distribution with μ=152.8 and σ=26.2 . You intend to draw a random sample of size n=94 . Find the probability that a single randomly selected value is less than 149.6. P(X < 149.6) =
Answer:
P(x < 149.6) = 0.11821
Step-by-step explanation:
We start by calculating the z-score of the parameter given
Mathematically,
z-score = (x-mean)/SD/√n
z-score = (149.6-152.8)/26.2/√94
z-score = -3.2/2.70
z-score = -1.18
So the probability we want to calculate is;
P( x < -1.18)
we can use the standard normal distribution table to get this
From the standard normal distribution table, this value is 0.11821
sin 7A - sin A / (sin 8A + sin 2A)
Answer:
sin 7A/ sin 2A di ako sure na Tama yan sorry pero yan Ang sagot ko
I’m giving the rest of my points for this plz help!! Explain the reasoning
Answer:
0
Step-by-step explanation:
Anything times 0 or divided by 0 is 0
Teddy has two sisters. One of them is 3 years younger than Teddy, the other one is 7 years younger than her only brother. How old was the older sisters when the younger sister was born?
Given:
Teddy has two sisters. One of them is 3 years younger than Teddy, the other one is 7 years younger than her only brother.
To find:
The age of older sister at the time when the younger sister was born.
Solution:
Let the age of Teddy be x.
One sister is 3 years younger than Teddy.
Age of one sister = x-3 years
The other one is 7 years younger than her only brother. It means other sister is 7 years younger than Teddy.
Age of other sister = x-7 years
Clearly (x-3) > (x-7). So, difference between the ages of sisters is
[tex]Difference=(x-3)-(x-7)[/tex]
[tex]=x-3-x+7[/tex]
[tex]=4[/tex]
Therefore, the age of older sister is 4 years when the younger sister was born.
Answer:
d
Step-by-step explanation:
Can someone check this for me! I am not sure if I did this right
9514 1404 393
Answer:
8 seconds
Step-by-step explanation:
Your answer is the time interval at which the projectile is at or above ground level.
The way I read the question, it is asking for the value of t when the projectile hits the ground. It is 8 (seconds). My answer to this question would be 8, or 8 seconds.
__
Comment
We cannot tell whether the answer is intended to include units, or not. The usual clues are missing here.
ABD and CBD form a linear pair . if m ABD = 6x-12 and m CBD = x + 31 find the m ABD
Answer:
m∠ABD = 126°
Step-by-step explanation:
if both angles make a linear pair then their sum equals to 180°
you can solve for x
m∠ABD + m∠CBD = 180
6x-12 + x+31= 180
7x + 19 = 180
7x = 161
x=23; now solve for
m∠ABD = 6x - 12 = 6(23) - 12 = 126°
The required measure of m ABD is 23.
What are linear pair of angle?In geometry, a linear pair of angles is a pair of adjacent angles formed when two lines intersect each other.
Now it is given that,
m ABD = 6x - 12 and m CBD = x + 31
Since, ABD and CBD form a linear pair
m ABD + m CBD = 180°
6x - 12 + x + 31 = 180°
7x + 19 = 180°
⇒ 7x = 180° - 19
⇒ 7x = 161
⇒ x = 161/7
⇒ x = 23
Thus, the required measure of m ABD is 23.
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Does the following quadratic equation have a maximum or minimum value? How can
you tell?
y=x^2+2x-3
Answer:
minimum
Step-by-step explanation:
it has a minimum value because it is positive so the graph will show a U shape
3. Use trigonometric ratios to solve for the variable. Show your work. Round lengths to the nearest tenth and angles to the nearest whole degree.
Answer:
x = 3.4
Step-by-step explanation:
recall that for a right angle with an internal angle θ,
cos θ = adjacent length / hypotenuse
in our case,
θ = 55 deg
adjacent length = x units
hypotenuse = 6 units
substitute these into the formula above
cos θ = adjacent length / hypotenuse
cos 55 = x / 6 (multiply both sides by 6)
x = 6 cos 55 (use calculator)
x = 3.4415
x = 3.4 (rounded to nearest tenth)
If the point (-1/2, y ) lies on the line whose equation is 2x - 3y = 6, what is the value of y ?
-7/3
Step-by-step explanation: is the answer for odyssey ware
0.0000000043 estimated to the power of ten
Answer:
4.3 x 10^-9
Step-by-step explanation:
Convert to base 10 and move decimal 9 to right
Please I’m really confused which one it is please help
Answer:
The top one on the left
Step-by-step explanation:
find the value of p
Answer:
Let's take the angle LEFT to p to be "x".
80+30+x = 180
110+x = 180
x = 70
Finding p:
90+70+p = 180 (REASON: linear pair)
160+p = 180
p = 20
THEREFORE, THE VALUE OF 'p' IS 20°
Which angle relationships are correct? Check all that
apply.
21 and 28 are alternate exterior angles.
24 and 26 are same side interior angles.
25 and 27 are vexical angles.
22 and 28 are corresponding angles.
23 and 26 are alternate interior angles.
Answer:
<1 and <8 are alternate exterior angles
<4 and <6 and same said interior angles
<3 and <6 are alternate interior angles
Step-by-step explanation:
The correct options are 1) ∠ 1 and ∠ 8 are alternate exterior angles, 2) ∠ 4 and ∠ 6 are same side interior angles, 4) ∠ 2 and ∠ 8 are corresponding angles and 5) ∠ 3 and ∠ 6 are alternate interior angles, this is true.
What is angle relationship?The amount of space between two straight lines that have a common end point is called angle. Two angles can be related if certain conditions are met.
Given that, lines m and n are intersected by a transversal l, making angles 1, 2, 3, 4, 5, 6, 7 and 8
∠ 1 and ∠ 8 are alternate exterior angles, this is true.
∠ 4 and ∠ 6 are same side interior angles, this is true.
∠ 5 and ∠ 7 are vertical angles, no this is not true because these are making a linear pair angles.
∠ 2 and ∠ 8 are corresponding angles, this is true.
∠ 3 and ∠ 6 are alternate interior angles, this is true.
Hence, the correct options are 1, 2, 4, and 5
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If an equilateral triangle has a side lengths of 8 units , what is the height of the triangle
Answer:
8
Step-by-step explanation: each side is equal so 8
The height of the equilateral triangle for the given side length is equal to ( 4√3 ) units or approximately 6.93 units (rounded to two decimal places).
In an equilateral triangle, the height is the line segment perpendicular to one side of the triangle and passing through the opposite vertex.
For an equilateral triangle with side length "s," the height "h" can be calculated using the formula:
h = ( √3 / 2) × 8
Where "s" is the side length of the equilateral triangle.
Here, the side length of the equilateral triangle is given as 8 units.
So, substituting the value of "s" into the formula:
⇒ h = ( √3 / 2) × 8
⇒ h = ( 8√3 / 2)
⇒ h = ( 4√3 ) units
Therefore, the height of the equilateral triangle is ( 4√3 ) units or approximately 6.93 units (rounded to two decimal places).
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does the equation y = x represent a function
Yes it's a linear function
Answer:
Yes since x only equals y, which is one solution.
Step-by-step explanation:
log2(y)=3log3(u)
log5(y)=2log(u) + 3log5(v)
Write y in terms of u and v
can yall plz plz help me
Answer:
the answer is 80000 is b
ernesto tiene 18 metros de malla el desea cerca solo tres lados de un terreno rectangular , ya que una pared sirve de limite del cuarto lado
Answer:
Estoy prediendo espanol, as translate.
Step-by-step explanation:
please write the question properly
please help me guys this is the question 1) solve 1/3 ( x+y-5) = y-z = 2x-11=9-(x-2z)
Answer:
1/3(x+y-5)=y-z=2x- 11=9-(x+2z)
Step-by-step explanation:
1/3(x+y-5)=y-z=2x-11=9-(x-2z)
(x+y-5)=3y-3z=6x-33=37-2(x-2x)x+y-5=3y-3z=6x-33=37-3x+6zx-6x+3x=3y-y=-3z-6z=37+33-2x=3y=-9z=70.Brian and leo are purchasing food at the snack bar. Brian purchases a hot dog for $2.35, chips for $1.65 and a drink for $2. Leo purchased a hamburger for $3, fries for $2.45 and a drink for $2. How much did they spend altogether on food?
Answer:
$13.45
Step-by-step explanation:
add all of the money:
2.35+1.65=4
2+3=5
2.45+2=4.45
add 4, 5, and 4.45 together
13.45
Which is $13.45
What is the slope of the line that passes through the points (-6 , -4) and ( -12 , -4)? Write in simplest form plssss!
Answer:
the slope is zero
Step-by-step explanation:
Answer:
I think that: slope (m) = 0
Step-by-step explanation:
the equation of slope is m = y2-y1/x2-x1
so, y2 = -4, y1 = -4, and x2=-12, and x1= -6
Just substitute them into the equation:
m = -4 - -4 / -12- -16
m = 0
The slope is equal to 0
I hope this helps!
Given the system of equations:2x-y=7 5x+2y=4 write the system of equations in the form Ax=B, where A,X and Bare matrices.
Answer:
Step-by-step explanation:
Here, we want to write the equations in the form of matrix
To do this we simply make sure that the coefficients of any given variable are on the same side of the matrix to first form a 2 by 2 matrix
Then we proceed to use the variables to form a 1 by 1 matrix by side and then finally the results forming another 1 by 1 matrix by the side
Please check attachment for complete representation
