Answer:
1. linear pair
2. Substitution Property of Equality
3. Subtraction Property of Equality
4. <1 ≅ <3
Step-by-step explanation:
1. linear pair
A linear pair is a pair of angles that that are adjacent and add to 180 degrees
linear Pair Postulate states: "If two angles form a linear pair, then the angles are supplementary.
2. Substitution Property of Equality
<1 + <2 = 180 and <2+ <3 = 180
<1 + <2 = <2 + <3
3. Subtraction Property of Equality
<1 + <2 - <2= <2 - <2+ <3
<1 = <3
4. <1 ≅ <3
Paul is going to purchase orange juice and soda water for a new fruit punch recipe. The recipe calls for 3.5 times as many bottles of soda water as orange juice. If he has $20.55, what is the most bottles of orange juice he can buy if orange juice costs $3.70 per bottle and soda water costs $0.90 per bottle?
Answer:
10.5 bottles of orange juice
Step-by-step explanation:
Paul is going to purchase orange juice and soda water for a new fruit punch recipe. The recipe calls for 3.5 times as many bottles of soda water as orange juice. If he has $20.55, what is the most bottles of orange juice he can buy if orange juice costs $3.70 per bottle and soda water costs $0.90 per bottle?
Number of bottles of orange juice = x
Number of bottles of soda water = y
The recipe calls for 3.5 times as many bottles of soda water as orange juice.
Hence,
x = 3.5y
If he has $20.55, what is the most bottles of orange juice he can buy if orange juice costs $3.70 per bottle and soda water costs $0.90 per bottle
We have:
3.70y + 0.90× 3.5= 20.55
3.70y + 3.15y = 20.55
6.85 = 20.55
y = 20.55/6.85
y = 3 bottles
Since, Number of bottles of soda water = y, Number of bottles of soda water = 3
Note that: x = 3.5y
x = 3.5 × 3
x = 10.5 bottles
Number of bottles of orange juice = x, Hence, number of bottles of orange juice = 10.5 bottles
Graph the solution of this inequality:
350 » 125 + 15.7
Answer:
the line would be at x=15 and you would shade all to the left of the line and a point in that zone or on the line would work in the equation
Step-by-step explanation:
HELP PLEASE!! I'M CONFUSED.
Answer:
so am i
Step-by-step explanation:
Which transformation shows a translation of 3 units to the right ?
A) A
B) B
C) C
D) D
Convert y - 8 = 3(x + 8) to slope-intercept form.
Answer:
y - 8= 3(x+8) in slope intercept form is y = 3x + 32
Answer:
y= 3x-16
Step-by-step explanation:
Last one someone answers this i’ll give brainlest but only if you answer this one
Answer:
342,000,000 miles difference
Step-by-step explanation:
jupiter: 484,000,000
mars: 142,000,000
484,000,000 - 142,000,000 = 342,000,000
I can not really see the question. Maybe take another photo?? That way, I can help better.
What is the value of ?
StartFraction 2 pi Over 3 EndFraction
Answer: -pi/6
Step-by-step explanation:
it's correct.
Answer
-pi/6
Step-by-step explanation:
got it on edge
rp+s=t in terms of r, s,and t
Answer:
p=(t-s)/r
Step-by-step explanation:
This is an equation so all we have to do is solve backwards step by step:
rp+s=t
rp+s-s=t-s
rp/r=(t-s)/r
p=(t-s)/r
Simplify the following expression: 7n (-3+ 6n) - 2n (3 + 7n)
Answer:
=28n2−27n
Step-by-step explanation:
Which of the following i s the graph of f(x) = |3x - 4| + 1?
Answer:
Use slope intercept form to find your y intercept and slope. Once you plot your y intercept (0,1), use your slope (3) to go up three units and to the right one unit.
Step-by-step explanation:
hope this helps *_*
invests $5,000 in a simple interest account for 5 years. What interest rate must the account pay so there is $6,000 in the account at the end of 5 years?
Answer:
They must pay 4% interest rate. Hope I am able to help.
Step-by-step explanation:
Kaitlen buys 1 ninth pound of orange slices
Please help I will give 25 points!
8x-4=2(4x-4). Does this equation have only 1 solution?
Answer:
No, it has infinitely many solutions.
Step-by-step explanation:
How does a reflection across the y-axis change the coordinates of a shape?
Stan made a scale drawing of his living room that had a scale factor of 1/2 inch = 2 feet. The dimensions of the living room in his drawing are 3 1/2 inches by 3 3/4 inches. Carpet sells for $3.99 per square foot. how much will it cost Stan to carpet his living room?
Answer: 209.48
Step-by-step explanation:
una dintre fetele laterale ale unei piramide patrulatere regulate este triunghi echilateral cu latura de 7cm. Calculati aria bazei piramidei consideratei
Answer:
21.27 cm^2
Step-by-step explanation:
Pentru a calcula aria bazei, putem folosi formula lui Heron Matematic aceasta este;
A = √s (s-a) (s-b) (s-c)
Unde s = (a + b + c) / 2
a, b, c se referă la laturile triunghiului
A = (7 + 7 + 7) / 2 = 21/2 = 10,5
A = √10,5 (10,5-7) (10,5-7) (10,5-7)
A = √10,5 (3,5) (3,5) (3,5)
A = √450.1875
A = 21.2176 cm ^ 2, care este de aproximativ
21.22 cm ^ 2
9. Which property is illustrated?
For all expressions a, b, and c, if a = b , then a+c=b+c.
Distributive Property of Equality
Associative Property of Addition
Commutative Property of Addition
Addition Property of Equality
Subtraction Property of Equality
10. True or False: An argument that uses logic in the form of definitions, properties, and previously proved
Answer:
It is Distributed property and False
Step-by-step explanation:
what is a rhombuses?
Answer:
Hey there! I hope this helps you. If you have any questions or concerns feel free to leave them in the comments so I can answer. Thank you!
A rhombus would be a flat shape that has 4 equal straight sides. People also refer to it as a parallelogram.
-All sides are equal
-Opposite sides parallel
~I hope I helped you! :)~
why does -5/10 equal 5/-10 ? explain..
Answer:
-5/10 equals to 5/-10 because even though the numerator/denominator is negative, when you simplify -5/10 or 5/-10, it give you -1/2 and 1/-2.
Step-by-step explanation:
HELP, I WILL GIVE ALOT OF POINTS AND BRAINLYEST
Answer:
C
Step-by-step explanation:
first, let's find the midpoint of line TR.
((x1+x2)/2, (y1+y2)/2)
(4+8)/2= x-coordinate= 6
(-4+-4)/2=y-coordinate=-4
(6,-4) is the point of A
now, use the distance formula for U (5,-6) and A (6,-4)
d= sqrt (x2-x1)^2 + (y2-y1)^2
d= sqrt (6-5)^2 + (-4-(-6))^2
d= sqrt (1+4)
d= sqrt 5
C. sqrt 5
Please help me with these!!
Answer:
see explanation
Step-by-step explanation:
(28)
2x³ - 32x ← factor out 2x from each term
= 2x(x² - 16) ← difference of squares
= 2x(x - 4)(x + 4)
(29)
3x² + 6x + 3 ← factor out 3 from each term
= 3(x² + 2x + 1) ← perfect square
= 3(x + 1)²
(30)
[tex]x^{4}[/tex] - 81 ← difference of squares
= (x² - 9)(x² + 9) ← (x² - 9) is also a difference of squares
= (x - 3)(x + 3)(x² + 9)
(31)
5[tex]x^{5}[/tex] - 15[tex]x^{4}[/tex] + 10x³ ← factor out 5x³ from each term
= 5x³(x² - 3x + 2)
= 5x³(x - 1)(x - 2)
Pls solve number 4 ASAP pls and thank you
Answer: 7776
........................
If you divide 78 by 34, will the quotient be greater than or less than 34? (Please help I'm desperate)
Answer:
The quotient will be less than 34
Step-by-step explanation:
When we talk of quotient, we are simply referring to the result of division.
Now, let’s divide 78 by 34, our answer is 2 10/34. The answer is slightly above two which in all terms is really less than 34.
So the correct answer to our question is that the quotient will be less than 34
Somebody please help!
Landen has violin lessons every 3rd day and singing lessons every 5th day. Today Landen has both lessons. In how many days will Landen have both lessons on the same day again?
Answer:
The 15th day
Step-by-step explanation:
Violin Lessons - 3, 6, 9, 12, 15
Singing Lessons - 5, 10, 15
Landen will have violin and singing lessons on the fifteenth day.
Hope this helped! :)
-5(c-2)=20-5c+10
help please
Answer:
20+10c
Step-by-step explanation:
-5(c)= -5c
-5(-2)=10
-5c+10=20-5c+10
12x5 what is the answer
Answer:
60
Step-by-step explanation:
Answer:
Step-by-step explanation:
it's 60 5+5+5+5+5+5+5+5+5+5+5+5
DIRECTIONS: Use this information to answer Parts A and B.
A home sold for S286,000. The amount the homeowner received, before taxes and closing costs, was the selling price minus the commission to the real estate
agent, which was 6%.
Part A
How much commission did the real estate agent earn on the sale?
Enter the correct answer in the box.
Answer:
$17,160
Step-by-step explanation:
286,000·0.06=17,160
Algebra 2 Math question Grade 11
Can anyone please help me with this question? Soon as possible!
Write an equation for the line that passes through the points (3,5) and (-2, 1).
All work must be shown for full credit. Be sure to include slope calculation.
Answer:
[tex]\displaystyle y=\frac{4}{5}x+\frac{13}{5}[/tex]
Step-by-step explanation:
The equation of the line in slope-intercept form is:
y=mx+b
Where m the slope of the line and b the y-intercept.
When two points are given, it's convenient to calculate the slope first.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The points are (3,5) and (-2,1):
[tex]\displaystyle m=\frac{1-5}{-2-3}=\frac{4}{5}[/tex]
The equation is now:
[tex]\displaystyle y=\frac{4}{5}x+b[/tex]
To calculate b, we use any of the given points and solve for b. Use (3,5):
[tex]\displaystyle 5=\frac{4}{5}3+b[/tex]
Operate:
[tex]\displaystyle 5=\frac{12}{5}+b[/tex]
Solve:
[tex]\displaystyle b=5-\frac{12}{5}=\frac{13}{5}[/tex]
The required equation of the line is:
[tex]\boxed{\displaystyle y=\frac{4}{5}x+\frac{13}{5}}[/tex]