Answers
Answer:
2. Definition of supplementary angles
3. [tex]\angle 1 + \angle 2 = \angle 1 + \angle 3[/tex]
4. [tex]\angle 2 = \angle 3[/tex]
5. Definition of congruent angles
Step-by-step explanation:
Required
Fill in the gaps
1. Given
Supplementary angles: [tex]\angle 1[/tex] and [tex]\angle 2[/tex]
Supplementary angles: [tex]\angle 1[/tex] and [tex]\angle 3[/tex]
2. Supplementary angles add up to 180.
So:
[tex]\angle 1 + \angle 2 = 180[/tex]
[tex]\angle 1 + \angle 3 = 180[/tex]
3. Apply transitive property on (2)
[tex]\angle 1 + \angle 2 = 180[/tex] and [tex]\angle 1 + \angle 3 = 180[/tex], then
[tex]\angle 1 + \angle 2 = \angle 1 + \angle 3[/tex]
4. Subtract [tex]\angle 1[/tex] from both sides
[tex]\angle 1 - \angle 1 + \angle 2 = \angle 1 + \angle 3 - \angle 1[/tex]
[tex]\angle 1 - \angle 1 + \angle 2 = \angle 1 - \angle 1+ \angle 3[/tex]
[tex]\angle 2 = \angle 3[/tex]
This property is called the subtraction property
5. If [tex]\angle 2 = \angle 3[/tex],
Then [tex]\angle 2[/tex] and [tex]\angle 3[/tex] are congruent
Related Questions
Length of a rectangle swimming pool is 50 yards and the width of the pool is 60 yards what is the approximate length of the diagonal of pool
Answers
Answer:
Approximately 78 yards
Step-by-step explanation:
From the question, I was able to deduce that the swimming pool is a cuboid because the length and width step different in yards. After sketching a cuboid, length= 60 yards, width= 50 yards, then draw a diagonal across the upper rectangle of the cuboid, to get the diagonal, use Pythagoras theorem, Hypotenuse²= opposite²+adjacent²;. x²=60²+50²=3600+2500=6100 ;.
x²=6100 therefore X=√6100 =78.1024 yards, but approximately 78yards, since the question instructed that answer should be approximated.
A share is sold for the market value of ₹1000. Is the face value of share is ₹100 and brokerage is paid at the rate of 0.1%what is the amount received of the Sale?
Answers
hope this will help you
2X²+6X=
need real answer pls
Answers
But you can factor out 2x
Solution: 2x(x + 3)
Answer:
Solution:
2x×(x+3)
Step-by-step explanation:
oper brackets
The polynomial x^4+px^3+qx^2+rx+6 is exactly divisible by each of (x-1), (x-2) and (x-3).
Find the values of p, q and r.
Answers
The remainder theorem says that a polynomial f(x) has a remainder of f(c) upon getting divided by x - c. So if
f(x) = x⁴ + p x³ + q x² + r x + 6
is divisible by x - 1, x - 2, and x - 3, then we have
f (1) = 7 + p + q + r = 0
f (2) = 22 + 8p + 4q + 2r = 0
f (3) = 87 + 27p + 9q + 3r = 0
Solve the system for p, q, r. You can eliminate r by substituting the first equation into the other two:
p + q + r = -7
8p + 4q + 2r = -22 → 6p + 2q - 14 = -22 → 3p + q = -4
27p + 9q + 3r = -87 → 24p + 6q - 21 = -87 → 4p + q = -11
Eliminate q by adding (-1) times the first equation to the second one, then solve for p :
- (3p + q) + (4p + q) = - (-4) + (-11)
-3p - q + 4p + q = 4 - 11
p = -7
Solve for q :
3p + q = -4 → 3 (-7) + q = -4 → q = 17
Solve for r :
p + q + r = -7 → -7 + 17 + r = -7 → r = -17
I NEED HELP PLS!
Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−1 intersect are the solutions of the equation 4x = 2x−1. (4 points)
Part B: Make tables to find the solution to 4x = 2x−1. Take the integer values of x between −4 and 4. (4 points)
Part C: How can you solve the equation 4x = 2x−1 graphically? (2 points)
(10 points)
Answers
Answer:
es a través de los ejes x si lo cuenta, puede ver lo que es en su cuadrícula y encontrará la respuesta exacta
Use the following information to answer Part A Part B
*2 Systems of Equations
John wants to join a gym so that he can work out during the evenings. There are two gyms in his town that he is considering. Extreme
Fitness charges a $50 Signup fee and then $10 per month. Ultimate Fitness charges a $30 initiation fee and then $15 per month. Extreme
Fitness is closer to John's home and has more equipment than Ultimate Fitness. Find the number of months where the cost of the membership will be the same for both gyms
Answers
Answer:
can some one please answer it please
Step-by-step explanation:
Please help me I need this
Answers
Answer:
since it's increasing 15% each year, it'll be linear, having a slope of 15.
Step-by-step explanation:
Because the users are increasing a percentage over time the function would be exponential.
The answer is exponential.
Please help
Have a merry Christmas
Answers
Contradicting the last answer, the answer 40 is half of 80, so that answer is actually 50 percent.
And also, a little trick to find out percentages is to multiply the first number in the percentage, with the number you are trying to find
Ex. 20 percent of 70
2 * 7 = 14 percent
Answer:
32 :)
Step-by-step explanation:
Using the elimination method and showing all of your steps. Solve the following System of Equations. Make sure to write your answer as an order pair.
`-3x-4y=2`
`3x+3y=-3`
Answers
Answer:
ummm......i need more details.
Step-by-step explanation:
3x + 3y = -3
The 3x and -3x cancel out so u'll be left with...
-4y = 2
3y = -3 subtract
-------------
-y = -1 or
y = 1
To get x, u have to plug in y to either equation....
3x + 3(1) = -3
3x + 3 = -3 subtract 3 from both sides
3x = -6 divide 3 from both sides
--------------
x = -2
If I did this correctly, your answer should be (-2, 1)
Debora plans to sew 3 blankets for each of her nieces.
How many blankets will Debora sew if she has 5 nieces?
Answers
Answer:
well for me I think it's
Step-by-step explanation:
15
5×3 each
Answer:
15 blankets
Step-by-step explanation:
Debora plans to sew 3 blankets for each of her nieces. If she has 5 nieces, that means she will sew 3 blankets for each of them.
Number of blankets Debora sews = 3 blankets × 5 nieces
= 15 blankets
Therefore, Debora will sew 15 blankets in total.
I hope this helps!
Help is this correct !!!??
Answers
Answer:
Yes
Step-by-step explanation:
r/2=(r-4)/7 how do i solve this?
Answers
Thx hope it helps
CAN SOMEBODY PLEASE HELP ME NOW I AM IN A RUSH!!!!!!!!!!!!!!!!!!!
Which system of linear equations appears to have a solution of (3, 0)?
On a coordinate plane, 2 lines intersect at (0, negative 2).
On a coordinate plane, 2 lines intersect at (0, 1).
On a coordinate plane, 2 lines intersect at (3, 0).
On a coordinate plane, 2 lines intersect at (0, 3).
Answers
Answer:
i’m pretty sure it is 3 but i could be wrong
Step-by-step explanation:
Help me increase 91 by 3/7
Answers
Answer:
130
Step-by-step explanation:
First calculate 3/7 of 91
- 91 / 7 * 3 = 39
Then add your answer on to 91
- 91 + 39 = 130
Answer:
The answer is 130
Step-by-step explanation:
Hope this helped have an amazing day!
ANSWER PLS!!
What is the answer
Answers
Answer:
C is the correct answer.(Plus I remember this question)Jorge has a Total of 67 coins. All of which are dimes and nickels. The total value of the dimes and nickels i $5.40. Find the number of each type of coin.
Answers
Answer:
There are 41 dimes and 26 nickels.
Step-by-step explanation:
From the information given, you know that you have 67 coins which would be:
x+y=67
Also, you now that the value of each coin is:
dimes= $0.10
nickels=$0.05
With this you can say that the number of dimes for its value plus the number of nickels for its value is equal to $5.40:
0.10x+0.05y=5.40
You will have the following equations:
x+y=67 (1)
0.10x+0.05y=5.40 (2), where:
x are the number of dimes
y are the number of nickels
First, you can solve for x in (1):
x=67-y
Then, you can replace (3) in (2):
0.10(67-y)+0.05y=5.40
6.7-0.10y+0.05y=5.40
1.3=0.05y
y=1.3/0.05
y=26
Now, you can replace the value of y in (3) to find x:
x=67-y
x=67-26
x=41
According to this, the answer is that there are 41 dimes and 26 nickels.
Help me i can’t do this
Answers
Answer:
[tex]\huge\boxed{\sf Star = 14}[/tex]
Step-by-step explanation:
Let snowman be x , star be y and shopping bag be z.
So, the given equations are:
1) x + y = 20 (Eq. 1)
2) z = x + x
z = 2x (Eq. 2)
3) z + x = 18 (Eq. 3)
Put Eq. (2) in Eq. (3)
2x + x = 18
3x = 18
Divide both sides by 3
x = 18 / 3
x = snowman = 6
Now, Put x in (Eq. 1)
6 + y = 20
Subtract 6 to both sides
y = 20 - 6
y = 14
So,
Star = 14
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807I'll give brainliest to the right answer! I need help ASAP!
Answers
Answer:
answer: y= 1^2+ -8 I think I did this right.
Answer:
y=-1/2x-8
Step-by-step explanation:
Find the distance between the point A(-4,3) and B(1,6)
Answers
Answer:
The distance would be (5,-3)
The table shows the number of wins and losses for four hockey teams.
Which two teams have the same ratio of wins to losses?
(pls help!)
Lightning and Thunder
Wolves and Eagles
Thunder and Wolves
Eagles and Lightning
Answers
Answer:
Thunder and Wolves
Step-by-step explanation:
If its right can I get Brainllest? Please
Martin is seating people in the cars of a roller coaster. Each car can seat 8 people. Six of the roller coaster cars are yellow and nine of the roller coaster cars are green. People will be randomly seated in the roller coaster cars. What is the probability that the first person will be seated in a yellow roller coaster car?
Answers
Answer:
The probability is 2/5
Step-by-step explanation:
Here, we want to calculate the probability that the first person will sit in a yellow roller coaster car
The number of cars to select from is 6 + 9 = 15 cars
The number of yellow cars is 6
So the probability that the first person selects a yellow roller coaster car to seat is 6/15 = 2/5
Help me with this pls :')
Mary wants to fill in a cylinder vase. At the flower store they told her that the vase should be filled 2/3 for the flowers to last the longest. Her cylinder vase has a radius of 3 in and a height of 8 in. Using the equation below, how much water should Mary pour into the vase?
The volume of a cylinder with height h and radius r is given by the formula:
V = πr²h
Answers
Answer:
150.796 in³ of water
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
Volume of a Cylinder: V = πr²hStep-by-step explanation:
Step 1: Define
Radius r = 3 in
Height h = 8 in
Step 2: Find Volume V
Substitute [VC]: V = π(3 in)²(8 in)Exponents: V = π(9 in²)(8 in)Multiply: V = 72π in³Multiply: V = 226.195 in³Step 3: Find Water
2/3 of vase should be filled with H₂O.
Set up: 2/3(72π in³)Multiply: 48π in³Evaluate: 150.796 in³Answer:
We know the formula for the volume of a cylinder is V=πr^2has given.
That said, we can plug our values in.
V=π3^2(8)
Simplify.
V=π9*8
V=72π
It needs 72π cubic inches of water.
This is also equivalent to around 226.19 cubic inches of water.
Step-by-step explanation:
hope this helps
Alfred and Larissa have $21.00 each to spend at a book fair, where all students receive a 35% discount. They both want to purchase a copy of the same book, which normally sells for $28.50 plus 10% sales tax. To check if he has enough to purchase the book, Alfred takes 35% of $28.50 and subtracts that amount from the normal price. He takes 10% of the discounted selling price and adds it back to find the purchase amount. Larissa takes 65% of the normal purchase price and then computes 110% of the reduced price. Is Alfred correct? Is Larissa correct? Do they have enough money to purchase the book? Explain your answer using complete sentences and show your work.
Answers
Answer: See explanation
Step-by-step explanation:
The normal cost of the book plus the sales tax will be:
= $28.50 + ($28.50 × 10%)
= $28.50 + ($28.50 × 0.1)
= $28.50 + $2.85
= $31.35
Since there's a discount of 35%, the amount they'll have to pay will be:
= $31.35 - ($31.35 × 35%)
= $31.35 - ($31.35 × 0.35)
= $31.35 - $10.9725
= $20.3775
They do not have enough money to make the purchase.
Alfred takes 35% of $28.50 and subtracts that amount from the normal price. Alfred's calculation is shown below:
= $28.50 - (35% of $28.50)
= $28.50 - (0.35 × $28.50)
= $28.50 - $9.975
= $18.525
He takes 10% of the discounted selling price and adds it back to find the purchase amount. This will be:
= $18.525 + (10% × $18.525)
= $18.525 + $1.8525
= $20.3775
Alfred is correct
Larissa takes 65% of the normal purchase price and then computes 110% of the reduced price. This will be:
= 65% × $28.50
= 0.65 × $28.50
= $18.525
= 110% × $18.525
= 1.1 × $18.525
= $20.3775
Larisa is also correct
In a heard of x cattle, the ratio of the number of bulls to cows is 1:6. Find the number of bulls in the herd in terms of x.
Answers
Answer:1/6*x
Step-by-step explanation:
Answer:
1/6=x
Step-by-step explanation:
192/38 with remanders
Answers
Answer:
5 Remainder 2
Answer:
The answer is 5 remainder 2
Step-by-step explanation:
Solve each equation.
X – 10 = 4
Math
Answers
Answer:
x=14
Step-by-step explanation:
Solving the equation x - 10 = 4, the value of x, which is the solution is calculated as x = 14.
How to Solve an Equation?Solving an equation simply involves determining the value of the variable in the equation, which is the unknown.
For example, we are asked to solve the equation, x - 10 = 4., what it simply means is that we need to determine what the value of x is in the equation that will make it true. Do the following:
x - 10 = 4
x - 10 + 10 = 4+ 10 [addition property of equality]
x = 14
Therefore, the solution of the equation is x = 14.
Learn more about equation on:
https://brainly.com/question/25678139
#SPJ6
please can anyone help me solve those questions with explanation thank you!!!
Answers
Step-by-step explanation:
A: X=4
Step 1: Distribute the 7 within the parenthesis which will give you:
7x - 21 = 7
Step 2: Add over the -21 to the other side of the = which will give you:
7x = 28
Step 3: Divide by 7 on both sides to get the final answer, X=4
B: M=9
Step 1: Multiply by 4 on both sides, to cancel it out on the right, which will give you:
32 = 3m + 5
Step 2: Subtract the 5 from each side, giving you:
27 = 3m
Step 3: Divide by 3 on both sides to get the final answer, M=9
C: X=28
Step 1: Subtract 9 from both sides, giving you:
x/2 = 14
Step 2: Multiply by 2 on both sides to give you:
x = 28 (This will be our final answer, there is nothing left to simplify.)
D: X=3
Step 1: Distribute the 2 on the left and the (-) on the right to give you:
5 + 2x + 10 = 10 - 4 + 5x
Step 2: Combine like terms and simplify to give you:
15 + 2x = 6 + 5x
Step 3: Subtract over the (2x) to give you:
15 = 6 + 3x
Step 4: Subtract over the 6 to give you:
9 = 3x
Step 5: Divide by 3 on both sides to get the final answer, X=3
How can we use ratios and proportional relationships to help us in our daily lives?
Answers
Answer:
In cooking (recipes).
Step-by-step explanation:
If the serving size for a recipe is not adequate for the number of people you are serving, you will have to convert the amounts(measurements) of the ingredients to suit your needs. You will do this by first creating a ratio defining the relationship between the serving size of the given recipe to the number of people needed to be served. For example, if a recipe serves 4 people, and you need to serve 8, your ratio would simplify to 1/2. This means you must proportionally relate this ratio to the individual amounts of each ingredient.
Pets R Us claims in their advertisement that they have the best price in town for ChowChow dog food. They sell 20-pound bags for s1695. Stuffapets also claims to have the best price in town for
ChowChow dog food. They are selling 30-pound bags for $24.95. Which store has a valid claim?
Pets R Us: 20-
pound bags for
$16.95
Stuff4Pets: 30-
pound bags for
$24.95
Answers
Answer:
stuff4pets has better price by 2 cents
Step-by-step explanation:
unit rate for chowchow is 16.95/20 = $.85 per pound
unit rate for stuff4pets is 24.95/30 = $.83 per pound
Answer:
Stuff4pet has a valid claim
I am very sure
Step-by-step explanation:
What is the base area.
Answers
Answer:
Area of the base is 10.5 cm².
Step-by-step explanation:
Formula for the volume of the given oblique prism = Area of the triangular base × Vertical height between two triangular bases
Vertical height = 6 cm
Volume = 63 cm³
From the formula,
63 = Area of the triangular base × 6
Area of the base = [tex]\frac{63}{6}[/tex]
= 10.5 cm²
Therefore, area of the base is 10.5 cm².