Answer:
(A)EF corresponds to E'F'
(C)∠EDG Is-congruent-to ∠E'D'G'
(D)∠DEF Is-congruent-to ∠D'E'F'
(F)The transformation is a rigid transformation.
Step-by-step explanation:
Given:
Parallelogram DEFG is mapped to D'E'F'G'DEFG and D'E'F'G' have identical side lengths and angle measures.The following applies:
EF corresponds to E'F'∠EDG Is-congruent-to ∠E'D'G'∠DEF Is-congruent-to ∠D'E'F'Now, a rigid transformation is a transformation of the plane that preserves length. Since the two parallelograms have identical side lengths:
The transformation is a rigid transformation.Note that a reflection is an isometric transformation. Therefore the statement "The transformation is not isometric" is INCORRECT.
FG and GD are adjacent sides, therefore they may not necessarily be congruent. Thus FG does not corresponds to G'D'
Answer:
1346
Step-by-step explanation:
Which is a memory strategy
A: Memorize every fact
B: Study alone to avoid distractions
C: let information sink in by studying just before tests
D: Review information shortly after you’ve learned it
Answer:
the answer should be D
Step-by-step explanation:
:)
A wedding ring costs £13000. Work out the price after a 11% price increase.
Answer:
£ 14,430
Step-by-step explanation:
Costing Price = £13,000
Increase = 11% of 13000
=> 11/100 × 13000
=> 11 × 130
=> £ 1430
Increased Price = 13,000+1430
=> £ 14,430
Which of the following lengths can not be the lengths of the sides of a triangle? A.) 4,6,9 B.) 3,4,2 C.) 2,2,3 D.) 1,1,2
Answer:
D
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
4 + 6 > 9
Yes, these lengths can form a triangle.
3 + 4 > 2
Yes, these lengths can form a triangle.
2 + 2 > 3
Yes, these lengths can form a triangle.
1 + 1 = 2
No, these lengths cannot form a triangle.
Answer:
D
Step-by-step explanation:
the formula is
a + b > c
a+ c > b
b+ c > a
The answer is D because
given lenght(D answer) A=1 , B=1, C=2
Thus, follow the formula.
a+b>c
1+1>2 ❌
a+c>b
1+2>1 ✅
b+c>a
1+2>1 ✅
we know that a+b>c is wrong, so, it cant form a triangle
How many terms are in the expression 5m2 - mn + 4n + 7?
Simplify 11(2x + 3).
Answer:
4 terms
22x+33
Step-by-step explanation:
1. You count 1, 2, 3, 4 because there are no like terms to combine
2. you can use the distributive property to multiply the terms
(2x times 11) plus (3 times 11)
Answer:
4 terms; 22x + 33
Step-by-step explanation:
5m2 - mn + 4n + 7:Expressions are made out of terms. A term can be a number, a variable, or a mixture of them. They are either added or subtracted.
In 5m2 - mn + 4n + 7, the terms are:
5m2mn4n7There should be 4 terms in the expression.
11(2x+3):[tex]11(2x+3)\\\text{Distribute.}\\\\11*2x=22x\\11*3=33\\\\11(2x+3)=\boxed{22x+33}[/tex]
Triangle D E F is shown. Angle F D E is a right angle. The length of D E is 40, the length of D F is 9, and the length of hypotenuse F E is 41. Given right triangle DEF, what is the value of tan(F)? StartFraction 9 Over 41 EndFraction StartFraction 40 Over 41 EndFraction StartFraction 40 Over 9 EndFraction StartFraction 41 Over 9 EndFraction
Answer:
The correct option is (3) 40/9.
Step-by-step explanation:
Consider the right angled triangle attached below.
The angle FDE is the right angle.
Using the trigonometric identities for right angled triangles compute the tangent of the measure of angle DFE as follows:
tan (DFE) = DE/DF
= 40/9
Thus, the correct option is (3) 40/9.
Answer:
C. 40/9
Step-by-step explanation:
Determine graphically whether the ordered pair (0, 2) is a solution of the following system of equations, and check using algebra.
x + 3y= 4
3x+y = -2
Answer: Not a solution of the System
Step-by-step explanation:
Plug in 0 for x and 2 for y for both equations.
Note, if only one of the equations is a true statement
(0.2) is not a solution. If either one of the equation is not true, the ordered pair is not a solution.
0+3(2)=4
3*2=6
0+6=6
6≠4
This was only the first equation but it was not true.
The equation is not true, so (0, 2) is not a solution of the second equation. Therefore, (0, 2) is not a solution of the system of equations.
To determine graphically whether the ordered pair (0, 2) is a solution of the system of equations, we can plot the two equations on a graph. If the point (0, 2) lies on both lines, then it is a solution of the system.
The first equation is x + 3y = 4. To plot this equation, we can first solve for y:
y = -(1/3)x + 4/3
This equation has a slope of -1/3 and a y-intercept of 4/3. So, the line will rise 1 unit for every 3 units it moves to the left. The y-intercept is 4/3, so the line will pass through the point (0, 4/3). Three units to the left of (0, 4/3) is (-3, 7/3), so the line will also pass through this point.
The second equation is 3x + y = -2. To plot this equation, we can first solve for y:
y = -3x - 2
This equation has a slope of -3 and a y-intercept of -2. So, the line will fall 3 units for every 1 unit it moves to the right. The y-intercept is -2, so the line will pass through the point (0, -2). One unit to the right of (0, -2) is (1, -5), so the line will also pass through this point.
We can check this algebraically. Substituting (0, 2) into the first equation, we get:
0 + 3× 2 = 4
6 ≠ 4
This equation is not true, so (0, 2) is not a solution of the first equation. Substituting (0, 2) into the second equation, we get:
3 × 0 + 2 = -2
2 = -2
This equation is also not true, so (0, 2) is not a solution of the second equation. Therefore, (0, 2) is not a solution of the system of equations.
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I will mark Brainliest this is urgent
Answer:
CD = 7
Step-by-step explanation:
If BC = 7 and ACB ≈ DCE, if you continue the line through BC, you'll see that the rest of it is CD, meaning BC = CD giving you the answer.
Answer:
Solution ⇒ 7
Step-by-step explanation:
Let us list the Given;
[tex]ACB = DCE,\\AC = 5 units,\\BC = 7 units[/tex]
Knowing that Δ ACB ≅ Δ DCE, by CPCTC we can consider the following;
[tex]AC = CD,\\BC = CE,\\AB = DE[/tex]
If we have to find the length of CD, given BD = 7 units;
[tex]CD = 7\\Conclusion, 7[/tex]
The population of Happyland is 15.8 Happys per acre exactly 553 Happys live in Happyland how many acres is Happyland enter only a numerical value in the answer blank
Answer:
35 acres
Step-by-step explanation:
We have 15.8 happys per acre and the we have exactly 553 happys living in happy land.
To calculate the number of acres, we just need to divide the number of happys we have by the number by the number of happys per acre
Mathematically, that would be 553/15.8 = 35 acres
Happyland have 35 acres of Land.
Given to us:
Population of Happyland = 553 Happys
Population of Happyland per acre = 15.8 Happys per acre,
Land with Happyland in acres:
[tex]\rm {Land with Happyland in acres =\dfrac{ Total\ number\ of\ Happys}{Population\ of\ Happyland\ per\ acre}}[/tex]
Putting in the value we get,
[tex]\rm {Land with Happyland in acres =\dfrac{ Total\ number\ of\ Happys}{Population\ of\ Happyland\ per\ acre}}\\\\\rm {Land with Happyland in acres =\dfrac{553}{15.8}}\\\\\rm {Land with Happyland in acres = 35 acres[/tex]
Hence, Happyland have 35 acres of Land.
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a number between 891 and 909 that is divisible by 10
Answer:
[tex]900[/tex]
Step-by-step explanation:
[tex]892/10=89.2\\893/10=89.3\\894/10=89.4\\895/10=89.5\\896/10=89.6\\897/10=89.7\\898/10=89.8\\899/10=89.9\\900/10=90\\901/10=90.1\\902/10=90.2\\903/10=90.3\\904/10=90.4\\905/10=90.5\\906/10=90.6\\907/10=90.7\\908/10=90.8\\909/10=90.9[/tex]
a^2-b^2+4b-4 please solve it step by step i will mark you brainlest
Answer:
b = a + 2 or b = 2 - a
Step-by-step explanation:
Solve for b:
-4 + a^2 + 4 b - b^2 = 0
The left hand side factors into a product with two terms:
(2 + a - b) (-2 + a + b) = 0
Split into two equations:
2 + a - b = 0 or -2 + a + b = 0
Subtract a + 2 from both sides:
-b = -a - 2 or -2 + a + b = 0
Multiply both sides by -1:
b = a + 2 or -2 + a + b = 0
Subtract a - 2 from both sides:
Answer:
b = a + 2 or b = 2 - a
Mo is wrapping a gift in a rectangular box for his mother. What is the surface area of the box Mo needs to wrap?
Answer:
The perimeter of the rectangular box.
Step-by-step explanation:
Which of the following choices are equivalent to the expression below ? √-27
Answer:
E. 3i√3
Step-by-step explanation:
√-27 is √27 times √-1
√-1 is i, so i√27
√27 = 3√3, and then we have:
3i√3 as our answer
What expression is equivalent to x2−x−6?
Answer:
[tex] - x + x 2 - 6[/tex]
that's it hope its helpful
Evaluate (a + b)2 for a = 2 and b = 3.
10
25
13
Answer:
10
Step-by-step explanation:
( 2 + 3 ) × 2
5 × 2 = 10
Answer:
10
Step-by-step explanation:
(a+b)2
(2+3)2
5(2)
10
Write down in terms of n, an expression for the nth term
of the following sequences:
a) 4 1 -2-5-8
b) -7 -12 -17 -22 -27
Answer:
a: -3n+1
b:-5n-2
Step-by-step explanation:
a: it is -3+1 because you can see that the sequence is going down by 3, so it is the 3 times table, but because the number is 4, and 4 is 1 more than 3, you put plus one at the end. :)
b: similar to the last, it's going down by five, but it is two less this time, so you put minus two instead.
Hope this helps :),
Lily
given that £1=$1..62 what is 650 pounds in dollars
1 pound = 1.62 dollars.
Multiply total pounds by 1.62 for total dollars.
650 x 1.62 = $1,053
how do you write 25 x 10^6 in standard form
Answer:
2.5*10^7
Step-by-step explanation:
Answer:
Brainliest!!!
Step-by-step explanation:
See picture
Not p has a truth value of 1 minus p. P logical and q has a truth value equal to the minimum of p and q. P logical or q has a truth value equal to the maximum of p and q. P right arrow q has a truth value equal to the min of 1 and 1 minus p plus q. P left right arrow q has a truth value equal to 1 minus StartAbsoluteValue p minus q EndAbsoluteValue. Suppose the statement "p: The sun is shining" has a truth value of 0.57 and the statement "q: Mary is getting a tan" has a truth value of 0.08. Find the truth value of
yes jxjfnsuspfjidheagdkhrsojieeidhj
What is the simplified form of the given expression?
(4.2 x 103)(2.6 x 104)
A. 1.092 x 106
OB.
B. 1.092 x 107
C.
1.092 x 108
D. 1.092 x 1012
Answer:option A
(4.2✖️10^3)(2.6✖️10^4)
4.2✖️2.6✖️10^3✖️10^4
10.92✖️10^3+4
10.92✖️10^7
10.92✖️10✖️10^6
1.092✖️10^6
Step-by-step explanation:
I hope this will help you:)
Answer:
1.092 x 10^8
Step-by-step explanation:
(4.2 x 10^3)(2.6 x 10^4)
Multiply the numbers
4.2* 2.6 =10.92
Add the exponents
10^3 * 10 ^4 = 10 ^(3+4) = 10^7
10.92 * 10^7
But this is not scientific notation, there can only be one digit in front of the decimal
Move the decimal one place to the left and add one to the exponent
1.092 * 10 ^(7+1)
1.092 x 10^8
Jacob is asked to simplify the expression-3a+4b+5a+(-7b) -3a+4b+5a+(-7b) = -3a+5a+4b+(-7b) which property is this ?
Answer:
B
Step-by-step explanation:Communative property.
What are the first three terms of the sequence defined by the recursive function an=an-1-(an-2-4), when a5=-2 and a6=0
Answer:
6, 10, 8
Step-by-step explanation:
aₙ= aₙ₋₁ - (aₙ₋₂ - 4)= aₙ₋₁ - aₙ₋₂ + 4
a₅= -2
a₆= 0
-----------
aₙ₋₂= aₙ₋₁ - aₙ + 4
a₄= a₅- a₆ + 4 = -2 - 0 + 4 = 2a₃= a₄ - a₅ + 4 = 2 - (-2) + 4 = 8a₂= a₃ - a₄ + 4 = 8 - 2 + 4 = 10a₁= a₂ - a₃ + 4 = 10 - 8 + 4 = 6The first 3 terms: 6, 10 and 8
What 7÷56+3 I'm boreeeddxxxxxxxxx
Answer:
The answer is 3.125.
Answer:
It's 3.125
Step-by-step explanation:
Hope this help lol
Multiply the polynomial (12x^4 - 4x^3 + 5) by (-4x^2) *
0 -16x^6 + 8x^5 + 9x12
048x^6 - 16x^6 + 20x^2
048x^6 + 16x^5 + 20x^2
0 -48x^6 + 16x^5 - 20x^2
Answer:
[tex] - 48 {x}^{6} + 16 {x}^{5} - 20 {x}^{2} [/tex]
Option D is the correct option.
Solution,
[tex] - 4 {x}^{2} (12 {x}^{4} - 4 {x}^{3} + 5) \\ = - 4 {x}^{2} \times 12 {x}^{4} + 4 {x}^{2} \times 4 {x}^{3} - 4 {x}^{2} \times 5 \\ = - 48 {x}^{6} + 16 {x}^{5} - 20 {x}^{2} [/tex]
hope this helps...
Good luck on your assignment...
∆ABC and ∆PQR are similar. ∆ABC is dilated by a scale factor of 1.25 and rotated 45° counterclockwise about point B to form ∆PQR. The side lengths of ∆ABC are , 5 units; , 4.2 units; and , 4 units. Match each side of ∆PQR to its length.
Answer:
[tex]6.25\ units,\ 5.25 \ units\ and\ 5 \ units[/tex]
Step-by-step explanation:
Given:
The scale factor = 1.25 and rotated =45°
Length of side =5 units; , 4.2 units; and , 4 units respectively.
As mention in the question the ∆ABC and ∆PQR are similar it means there sides are equal .
Therefore sides of the ∆ PQR is
[tex]= (5*1.25),(4.2*1.25),(4*1.25)\\=6.25, 5.25, 5[/tex]
Hence the length of the ∆PQR is [tex]6.25\ units,\ 5.25 \ units\ and\ 5 \ units[/tex]
Christine must buy at least $45$ fluid ounces of milk at the store. The store only sells milk in $200$ milliliter bottles. If there are $33.8$ fluid ounces in $1$ liter, then what is the smallest number of bottles that Christine could buy? (You may use a calculator on this problem.)
Answer:
7 bottles
Step-by-step explanation:
Christie needs to buy at least 45 fluid ounces of milk at the store.
33.8 fluid ounces=1 Liter
1 fluid ounce = [tex]\dfrac{1}{33.8}[/tex] Liters
45 fluid ounces = [tex]\dfrac{1}{33.8} \times 45 =1.3313$ Liters[/tex]
Now:
1 Liter =1000 Milliliter
Therefore:
1.3313 Liter= 1000 X 1.3313 Milliliters
1.3313 Liter= 1331.3 Milliliter
Therefore, the smallest number of 200 milliliter bottles Christie must buy is:
[tex]=\dfrac{1331.3}{200}=6.7 \\\approx 7$ bottles[/tex]
Answer:
7
Step-by-step explanation:
HELP ME!!! y is inversely proportional to square of x. Given that y=3 when x=7, find the value of x when y=18.375 TYSM!
Answer:
The value of x is -2√2 or 2√2.
Step-by-step explanation:
Given that y is inversely proportion to x², y ∝ 1/x². So the formula will be y = k/x² where k is the constant. In order, to find the value of k, you have to substitute the values of x and y into the formula :
[tex]y = \frac{k}{ {x}^{2} } [/tex]
[tex]let \: x = 7 \\ let \: y = 3[/tex]
[tex]3 = \frac{k}{ {7}^{2} } [/tex]
[tex]3 = \frac{k}{49} [/tex]
[tex]3 \times 49 = k[/tex]
[tex]k = 147[/tex]
[tex]y = \frac{147}{ {x}^{2} } [/tex]
Next, you have to substitute the y value into the equation to find x :
[tex]let \: y = 18.375[/tex]
[tex]18.375 = \frac{147}{ {x}^{2} } [/tex]
[tex]18.375 {x}^{2} = 147[/tex]
[tex] {x}^{2} = \frac{147}{18.375} [/tex]
[tex] {x}^{2} = 8[/tex]
[tex]x = ± \sqrt{8} [/tex]
[tex]x = - 2 \sqrt{2} \: \: or \: \: 2 \sqrt{2} [/tex]
A boy carries a 2 kg bag and walks 8m on a level road to his house. How much work has he done by carrying the bag? a. 4 J b. 16 J c. zero
Answer:
160J
Step-by-step explanation:
I think this is the answer
Solve for n.
11(n-1) + 35 = 3n
on=3
Answer:
n=-3solution,
[tex]11(n - 1) + 35 = 3n \\ or \: 11n - 11 + 35 = 3n \\ or \: 11n + 24 = 3n \\ or \: 11n - 3n = - 24 \\ or \: 8n = - 24 \\ or \: n = \frac{ - 24}{8} \\ n = - 3[/tex]
Hope this helps...
Good luck on your assignment..
Answer:
N= -3
Step-by-step explanation:
It makes sense
Alexandra and her children went into a movie theater and will buy bags of popcorn
and drinks. She must buy at most 12 bags of popcorn and drinks altogether. Write an
inequality that would represent the possible values for the number of bags of popcorn
purchased, b, and the number of drinks purchased, d.
Answer:
let number of bags of popcorn = b
let number of drinks = d
at most = maximum
b + d ≤ 12
Which equation is represented by the graph below? y=ln x y=ln x+1 y=e^x y=e^x+1
Answer:
y = e^x
Step-by-step explanation:
The fastest way to do this is to use a graphing calc or an online graphing platform and check to see which graph matches the one given.
The graph of the exponential function approaches zero as the value of x approaches negative infinity. Then the correct option is C.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The graph of the logarithm function approaches the infinity as the value of x approaches zero. So the given graph can not be a logarithm graph.
The graph of the exponential function approaches zero as the value of x approaches negative infinity. And at x = 0, the value of the function is 1.
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