Answer:
<1 ≅ <3 (congruence property)
Step-by-step explanation:
Given that: <1 and <3 are vertical angles.
Prove: <1 congruent to <3
Vertical angles are angles that are vertically opposite, and are formed under the same conditions. Thus, they are always congruent.
<1 + <2 = [tex]180^{o}[/tex] (sum of angles on a straight line)
Also,
<2 + <3 = [tex]180^{o}[/tex] (sum of angles on a straight line)
So that,
<1 + <2 ≅ <2 + <3 = [tex]180^{o}[/tex]
Thus, we can say that;
<1 + <2 ≅ <2 + <3
Since <2 is a common angle on both sides, then;
<1 ≅ <3 (congruence property)
If a sheep eats 1/7 of a bale of hay a day, how many sheep can be fed from 1 bale of hay? *
Answer:
7 sheeps can be fed by 1 bale of hay
Step-by-step explanation:
7/7=1
Answer:
7 sheep
Step-by-step explanation:
1 ÷ 1/7 = 7
1. The sum of 5 and x is 20. What is x?
If the sum of 5 and x is 20, then the value of x will be 15.
It is given that the sum of 5 and x is 20.
Mathematically, it can be written as:
5 + x = 20
We have to find the value of x.
In order to find the value of x we need to separate the variable and constant.
For this, subtract 5 from both the sides:
5+x-5 = 20-5
5-5 +x = 20-5
Then, solve the operation of subtraction on both the sides of above equation.
0+x = 15 -------(A)
Since, when we add 0 to any quantity, the result will be this quantity itself.
So, 0+x = x -------(B)
From (A) and (B), Sine the left sides of equation (A) and (B) are equal, then the right sides will also be equal.
Equation right sides of (A) and (B). We have:
x = 15
Hence, the value of x is 15.
Learn more about sum of variable and constants here:
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Please help me answer this and the imagine might be a little Blurry just zoom in the help out. Thank you
Answer:
Step-by-step explanation:
a = 180 degrees (because they are supplementary, as it says in the given, so their two angles add up to 180 degrees
b = 180 degrees (same reasoning as above)
c = Substitution?
d = m<3
e = m<3
I'm confident with everything except for c. If anyone can fill it in for me, pls do
Select True or False.
The expression 3x – 4(2x – 5) is equivalent, to the expression 20 – 5x.
True
O false
Answer:
true
Step-by-step explanation:
[tex]3x - 4(2x - 5) = \\ 3x - 8x + 20 = \\ - 5x + 20 = \\ 20 - 5x = > \: true[/tex]
Answer:
true
Step-by-step explanation:
3x -4(2x-5)
3x-8x+20
5x+20
Find the next number in the sequence: "-1, 1, 4, 8, 13, ..."
Answer:
19
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
because the more you go up the amount increases
GEOMETRY PLEASE HELP! THANK TOU SO MUCH :)
Answer:
11. X=76
Step-by-step explanation:
The product of a number and 12 is less than 5
Answer:
12n-5
Step-by-step explanation:
pls help me out ill give brainlyist
Answer:
B) y=3x+4.5
Step-by-step explanation:
Another term to represent Unit Rate is?
Constant of Proportionality
Slope
Rate of Change All of the Above
None of the Above
Answer:
All of the above.
Step-by-step explanation:
In a graph, the unit rate gives us the change in y for a unit change in x. That is, the unit rate is the rate of change in y when the change in x is 1.
Therefore, the unit rate is the same as the rate of change.
And the rate of change is synonymous with the slope.
The constant of proportionality is simply the slope/rate of change for proportional equations.
Therefore, the constant of proportionality is also another word for the unit rate.
Our answer is hence all of the above.
Examine the equation.
–2(–x + 9) = 2(x – 9)
2x – 18 = 2x – 18
This equation has .
Answer:
B
Step-by-step explanation:
I took the Assignment
Answer:
b
Step-by-step explanation:
Solve the equation -3(c - 1) +7c =27
Answer:
c=6
Step-by-step explanation:
u simplify it and u get
4c+3=27
4c=24
c=6
Answer:
c= 6
Step-by-step explanation:
We can use distributive property to solve the answer.
-3(c-1)+7c= 27
-3c+3+7c
4c+3= 27
-3 -3
4c= 24
c= 6
Hope this helps!
Evaluate the expression for x = 2, y = -3, and z = -5. *
2x + 3y + z
Your answer
Answer:
-10
Step-by-step explanation:
replace each letter with each number given, like shown below.
2(2)+3(-3)+(-5)
= 4+-9+-5
= -5+-5
= -10
A drop of water leaks from a faucet at a rate of 5-5 liters per second
Answer:
what's the question??zz
The question is below pls help.
Answer:
The answer is 153.8
Step-by-step explanation:
To find the perimeter you sum all the sides. 5.9+12.3+12.3+10.9+12.3+23.2+18.2+10.9+12.3+35.5= 153.8
Plz help me 10 points
Answer:
I think the answer is 7.20.....
Now that i can answer finally, the answer is $7.20, if she loses $2.40 every time she doesn't do her chore, that $2.40 x 3 which gets you $7.20
Susanne wants to put up a fence around her
square garden. The garden measures
11 feet on each side How much fencing
material does she need
Answer:
44 feet
Step-by-step explanation:
The garden is square and one side is 11 feet. Therefore the equation is 11 x 4
Find the value of x.
O x = 2
O x = 3
Ox=33
O x = 52
Answer:
x=3
Step-by-step explanation:
i just know
An eight ft board is cut into two pieces. One piece is 2 ft longer thant he other. How long are the pieces?
Answer: 6 ft and 2 ft
Step-by-step explanation:
Answer:
6ft and 2ft
Step-by-step explanation:
8ft board ÷ 2 pieces = 4ft each
4ft and 4ft boards. But one of them is longer by 2ft so:
4ft - 2ft = 2ft
4ft + 2 ft = 6ft
So, one piece is 2ft and the other piece is 6ft
Use the original price and the markup to find the retail price.
Original price: $46; Markup: 10%
The retail price is $____
Please include work to ensure that you did not make up the answer for points.
Answer:
50.6
Step-by-step explanation:
46*.1=4.6
46+4.6=50.6
Find the solution of the system of equations.
–6 - 2y = -40
- 7x – 2y = -44
Answer:
Step-by-step explanation:
(x,y) = (48/7, -22)
HELP ME PLS OMG -LS PLS PLS PLS ASAP ASAP PLS pls
Answer:
No, Yes, Yes
Step-by-step explanation:
no yes yes
(gl on your test or whatever)
Help me please ok thank you ._.
Answer:
its ur dad
Step-by-step explanation:
5^3 / 5^-3 oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
Answer: 5^3 / 5^-3 = 5^6 = 15,625
Step-by-step explanation:
Ok, you may find useful for problems like this the next two relations:
[tex]x^a*x^b = x^{a + b}[/tex]
[tex]x^a/x^b = x^{a - b}[/tex]
Now we have the equation:
5^3/5^-3
We have a quotient, then we need to use the second relationship, where:
x = 5
a = 3
b = -3
5^3/5^-3 = 5^(3 - (-3)) = 5^(3 + 3) = 5^6 = 15,625
Solve for c. abc + d = f
A square corner of 16 square centimeters is removed from a square paper with an area of 9x2 square centimeters. A square. Most of the square is shaded blue. In the bottom right of the square is a smaller square, outlined in a dashed line, and not shaded. Which expression represents the area of the remaining paper shape in square centimeters? (x – 7)(x – 9) (3x – 2)(3x – 8) (3x – 4)(3x + 4) (9x – 1)(x + 16)
Answer:
(3x - 4) (3x + 4)
Step-by-step explanation:
Area of the square paper = 9x^2 square centimeters
Area of the square corner = 16 square centimeters
The area of the square corner is removed from area of the square paper.
That is,
9x^2 - 16
Factorise by finding the square root of each term
9x^2
Square root of 9x^2 = 3x
Check:
3x * 3x = 9x^2
Square root of 16 = + or - 4
9x^2 - 16 = (3x - 4) (3x + 4)
Check:
(3x - 4) (3x + 4)
9x^2 + 12x - 12x - 16
= 9x^2 - 16
Answer:
hey guys lol its c on edg.
Step-by-step explanation:
:((((((((((((((((((
Answer:
132°
Step-by-step explanation:
Find the supplementary angle of 48°
To do this, subtract 48° from 180°
180 - 48 = 132°
Step-by-step explanation:
ABD = 180
[tex]180 - 48 = 132[/tex]
Write an equation of the line passing through point P(4, -6) that is perpindicular to the line y= -3.
Answer: y=1/3x - 22/3
Step-by-step explanation:
What is the value of x in the proportion below?
1/2 /4 = x/28
O 3 1/2
O 7 1/2
O 14
O 56
PLEASE HELP ITS URGENT
The value of x in the proportion below is option 1 3 1/2.
What is butterfly method?When using the butterfly method approach, the denominator of the first term is multiplied by the numerator of the second term, and vice versa.
What is proportion?An equation known as proportion shows that the two ratios presented are equal to one another. In other terms, the proportion declares that the two ratios or fractions are equal. In terms of proportion, two sets of supplied numbers are said to be directly proportional if they increase or decrease in the same ratio.
The given proportion is:
[tex]\frac{\frac{1}{2} }{4} = \frac{x}{28}[/tex]
Using the method of cross-product or butterfly method:
[tex]\frac{\frac{1}{2} (28) }{4}=x \\\\\frac{14}{4}=x\\ \\x=3.5[/tex]
The value of x is 3.5. Converting this value into mixed fraction:
3.5 = 3 1/2
Hence, the value of x in the proportion below is option 1 3 1/2.
Learn more about proportion here:
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f(x)=-x+7 in a table.
Answer:
x, f(x)-2,9-1,80,71,62,5Step-by-step explanation:
A fucntion is basically a machine that follows the instructions it's given and based on those instructions it gives you an answer. So in the function
f(x)=-x+7, our total output (answer) is going to be whatever our "x" is and adding that to 7.
So lets start with -2, plug in -2 for the x variable
f(x)=-(-2)+7, when we solve this we get f(x)=2+7 (negative*negative=positive)
so our final function would be f(x)=9
We can solve the other functions by plugging in the x variable in the same way:
f(x)=-(-1)+7 this simplifies to f(x)=1+7, so f(x) equals 8
f(x)=-(0)+7 this simplifies to f(x)=0+7, so f(x)=7
f(x)=-(1)+7 this simplifies to f(x)=-1+7, so f(x)=6
f(x)=-(2)+7 this simplifies to f(x)=-2+7, so f(x)=5
Helps me solve this problem please
Answer:B.
Step-by-step explanation: PLEASE GIVE BRAINLIEST IT HELPS ALOT