Answer:
By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are
✔ same-side interior
angles. Because AB and DC are
✔ parallel
, the same-side interior angles must be
✔ supplementary
by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.
Step-by-step explanation:
Answer:
The answer above is correct!
The correct options are:
First box: option D. same-side interior
Second box: option C. parallel
Third box: option D. supplementary
Step-by-step explanation:
Hope this helped - just got it right on edge!
Brainliest would be greatly appreciated :)
Anna, Bob and Chris are altogether 31 years old. How old will all three be altogether in three years time? (A)32 (B)34 (C)35 (D)37 (E)40
Answer:
40
Step-by-step explanation:
A+B+C = 31
Add 3 years to each age
A+3 +B+3 + C+3 = 31 +3+3+3
They will be
A+3 +B+3 + C+3 = 40
Answer:
it will be 40
Step-by-step explanation:
If they are altogether 31 years old now in 3 years we just add 9 thus it is 40
In general, what can you say about the difference when you subtract a larger integer from a smaller integer?
Answer:
To subtract integers, change the sign on the integer that is to be subtracted. If both signs are positive, the answer will be positive. If both signs are negative, the answer will be negative. If the signs are different subtract the smaller absolute value from the larger absolute value
If an item weighs 45kilograms what is its weight in pounds
---------please help asap---- ---------------
Answer:
Question 1:
SAT average divided by budget per student and
SAT average divided by teachers per student
Question 2:
Yes. According to both definitions, school A has the higher SAT average relative to the resources invested per student.
The length of a rectangle is 3 centimeters more than 3 times the width. If the perimeter of the rectangle is 46 centimeters, find the dimensions of the rectangle.
a
length = 18 cm; width = 5 cm
b
length = 5 cm; width = 18 cm
c
length = 13 cm; width = 5 cm
d
length = 13 cm; width = 8 cm
Answer:
a.
Step-by-step explanation:
which statement best describes a line in slope-intercept form when the coefficient of the x-trm is negative
Answer:
it's a negative slope
Step-by-step explanation:
**btw; not all slopes with a negative cefficient will look exactly like this, but as log as it has a negative coefficient, it will be negative and look somewhat similar**
What is the value of the median ?
1. 8
2. 4
3. 6
4. -4
Simplificar 2/3+1/5+2/4
Answer:
41/30
Step-by-step explanation:
2/3 + 1/5 + 2/4
= 41/30
the angle of elevation of the top of a tower from a point 42 metres away from it's base on level ground is 26 degrees. find the height of the tower.
Answer:
20.485 Meters
Step-by-step explanation:
So first you wanna draw a diagram. Start with the tower, then on the ground to the left (or right) draw a point. The point will be labeled as 42 m away from the tower. Now draw a line from that point to the top of the tower. This makes your triangle, and that angle you just drew that touches the point is 26 degrees.
Now, since you have a right triangle you can use trig. You know an angle and a side. Specifically, relative to the 26 degree angle you know the adjacent angle and want the opposite, which is the tower. So opposite and adjacent is tangent. So you set up tan(26) = o/42 where o is the opposite side.
So solving you get o = 20.485 meters
The amount of time needed to complete a job, t, varies inversely with the number of workers, w. If
9 workers can complete a job in 56 minutes, how many minutes would it take 14 workers?
Do not include the units in your answer.
Answer:
38
Step-by-step explanation:
If 9 workers can complete a job in 56 minutes, then it takes 36 minutes for 14 workers.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that amount of time needed to complete a job, t, varies inversely with the number of workers, w.
t=k/w
k is a constant
9 workers can complete a job in 56 minutes
t=56 and w=9
56=k/9
Apply cross multiplication
k=9×56
k=504
We need to find how many minutes would it take for 14 workers.
t=504/14
t=36
Hence, it takes 36 minutes for 14 workers.
To learn more on Ratios click:
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helppp!! I NEED HELP PLEASE
Given:
The table of values for the function f(x).
To find:
The values [tex]f^{-1}(f(3.14))[/tex] and [tex]f(f(-7))[/tex].
Solution:
From the given table, it is clear that the function f(x) is defined as:
[tex]f(x)=\{(-14,11),(-7,-12),(-12,-5),(9,1),(10,-2),(-2,13)\}[/tex]
We know that if (a,b) is in the function f(x), then (b,a) must be in the function [tex]f^{-1}(x)[/tex]. So, the inverse function is defined as:
[tex]f^{-1}(x)=\{(11,-14),(-12,-7),(-5,-12),(1,9),(-2,10),(13,-2)\}[/tex]
And,
[tex]f^{-1}(f(a))=f^{1}(b)[/tex]
[tex]f^{-1}(f(a))=a[/tex] ...(i)
Using (i), we get
[tex]f^{-1}(f(3.14))=3.14[/tex]
Now,
[tex]f(f(-7))=f(-12)[/tex]
[tex]f(f(-7))=5[/tex]
Therefore, the required values are [tex]f^{-1}(f(3.14))=3.14[/tex] and [tex]f(f(-7))=5[/tex].
What is 600000+45 yes I'm back
Answer:
600045
Step-by-step explanation:
Answer:
Hmm the answer might be 600045
Step-by-step explanation:
So what you do is that you add them up using your calculator or brain.
Given : AB = BC and BC = CD, AB = 3x - 1 and CD = 2x + 3 Prove: BC = 11 plz help me
Answer:
Given
Given
Transitive
Substitution
Subtraction
Addition
Substitution
Multiplication
Hard to see list of options. But this should help.
Given
Given
Transitive
substitution property of equality
Subtraction property of equality
Addition property of equality
multiplication property of equality
Simplify
simplify
What is substitution?Substitution means putting numbers in place of letters to calculate the value of an expression.
What is transitive property?The transitive property states that “if two quantities are equal to the third quantity, then we can say that all the quantities are equal to each other”
What is addition and subtraction property of equality?The addition and subtraction property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.
What is multiplication property of equality?The multiplication property of equality states that when we multiply both sides of an equation by the same number, the two sides remain equal.
According to the given question.
AB = BC and BC = CD ( Given)
AB = 3x - 1 and CD = 2x + 3 ( Given)
Since,
AB = BC and BC = CD
⇒ AB = CD (transitive)
Substitute the value of AB and CD in AB = CD
⇒ [tex]3x - 1 = 2x + 3[/tex] (substitution property of equality)
⇒ [tex]x -1= 3[/tex] (subtraction property of equality)
⇒ [tex]x = 4[/tex] (Addition property of equality)
Since,
AB = BC
⇒ AB= 3x -1
⇒ [tex]AB = 3(4) - 1[/tex] ( multiplication property of equality)
⇒ [tex]AB = 11[/tex] (simplify)
Therefore,
BC = 11 (simplify)
Find out more information about substitution, addition, subtraction and transitive property of equality here:
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1/f = 1/d + 1/d'
How do I find d'?
Does anyone know this
The total width is shown as 12 ft. The width of the small square is 2 ft so the width of the larger square is 12-2 = 10 ft.
Area of each square: 10 x 10 = 100
2 x 2 = 4
Total area = 109 + 4 = 104 square ft.
Find p(0), p(1) and p(2) for the polynomial P(t) = 2 + t + 2t²-t³
p(0)=2
p(1)=2+1+2-1=4
p(2)=2+2+8-8=4
At the gym Merl swims every 6 days, runs every 4 days and cycles every 16 days. If she did all 3 activities today in how many days will she do all 3 activities again on the same day
Answer:
48 days
Step-by-step explanation:
Swim = every 6 days
Run = every 4 days
Cycles = every 16 days
Find the lowest common multiple of 6, 4 and 16
6 = 6, 12, 18, 24, 30, 36, 42, and 48
4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48
16 = 16, 16, 32, 48, 64, 80, 96, 112, 128, 144, 160
The LCM of 6, 4 and 16 is 48
Therefore,
If she did all 3 activities today, she will do all 3 activities again in the next 48 days
find the missing information
Answer:
?=83 degrees
Step-by-step explanation:
74+120=194
360-194=166
166÷2=83
You divide by two because it is an inscribed angle, so it will always be half the measure of the arc it is inscribing or enclosing.
what is the value of m in the equation 1/5m - 2/3y = 30 when y = 15
Answer:
200
Step-by-step explanation:
1/5m-2/3y=30
1/5m-2/3(15)=30
1/5m-30/3=30
1/5m-10=30
1/5m=30+10
1/5m=40
m=40/(1/5)
m=(40/1)(5/1)
m=200/1
m=200
Help and explain please !!!
Answer:
D
Step-by-step explanation:
f(x) = x-4
f(3.2) = -3.2-4
= -7.2
Use the distributive property to write the next step in simplifying the numerical expression. Use the asterisk symbol (*) to represent multiplication. Do not multiply factors fully and do not use spaces. 4(x + 9)
Answer:
This is the expression:
4*x+4*9
I need help pls !!!!!!!
3 questions only pls help gota finish tofday
5a) 3x3x13
b) 3x7x7
c)11x5x2x2
d)3x3x3x5x2
6a)2x2x2x131
7a)5x5x2x2
b) 3x2x17
c)5x2x2x2x2x2x2
d)5x5x5x3
e) 2x2x103
f)5x3x137
g) 2x2x2x2x2x2x2x2x2
h)5x5x7x7x3
Freebie!! Enjoy! Have a good day!
“Never follow anyone else’s path. Unless you’re in the woods and you’re lost and you see a path. Then by all means follow that path.”
—Ellen DeGeneres
Answer:
You as well!
Step-by-step explanation:
Work out the area of the shaded shape.
Hi there!
[tex]\large\boxed{77m^2}}[/tex]
We can divide the figure into 3 rectangles.
Area of top rectangle:
5 × 5 = 25m²
Long rectangle:
14 × 3 = 42m²
Bottom rectangle:
2 × 5 = 10m²
Add up the areas:
10 + 42 + 25 = 77m²
Find the TWO integers whos product is -12 and whose sum is 1
Answer:
The two INTEGERS are :-
-3 and +4
-3 * (+4) gives us -12
-3 + (+4) gives us 1
hope it helps
have a nice day
Answer:
[tex] \rm Numbers = 4 \ and \ -3.[/tex]
Step-by-step explanation:
Given :-
The sum of two numbers is 1 .
The product of the nos . is 12 .
And we need to find out the numbers. So let us take ,
First number be x
Second number be 1-x .
According to first condition :-
[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]
Hence the numbers are 4 and -3.
I will mark you the brainliest
What is the opposite polynomial?
Answer:
e t
Step-by-step explanation:
Work out the area of the shaded
Hi there!
[tex]\large\boxed{73m^2}}[/tex]
Once again, divide the figure into 3 rectangles:
Top rectangle:
3m × 5m = 15m²
Long rectangle (subtract 5m from 9m to get the width):
12m × 4m = 48m²
Bottom rectangle:
2m × 5m = 10m²
Add up areas:
15m² + 48m² + 10m² = 73m²
What is the solution to the equation 2(4-3x)+5(2x-3) = 20-5x7 O x= -13 5. O x= O x=1 13 2 O x = 3
Answer:
Step-by-step explanation:
what is it that you don't understand about how to get this?
2(4-3x) + 5(2x-3) = 20-5x
A main purpose of doing an experiment over an observational study is to learn whether a certain _____ causes a certain response.
Answer:
condition
Step-by-step explanation:
An experiment can be defined as an investigation which typically involves the process of manipulating an independent variable (the cause) in order to be able to determine or measure the dependent variable (the effect).
This ultimately implies that, an experiment can be used by scientists to show or demonstrate how a condition causes or gives rise to another i.e cause and effect, influence, behavior, etc in a sample.
On the other hand, an observational study can be defined as a type of study in which a researcher observes and measures the effect of a diagnostic test, risk factors, or treatments on individuals without intervening, changing or manipulating who are or aren't exposed to it (controlled conditions).
Hence, the main purpose of doing an experiment over an observational study is to learn whether a certain condition causes a certain response.
Cause and effect can be defined as the relationship between two things or events in which an occurrence of one (cause) leads to the occurrence of another (effect).
