Given: m∠PRS = 2x + 12
m∠SRT = 6x + 8
∠PRS and ∠SRT are a linear pair
Prove: m∠PRS = 52
-make sure to include statements and reasonings like it shows in the screenshot
Answers
Answer:
See Below.
Step-by-step explanation:
1) Given:
[tex]\angle PRS\text{ and } \angle SRT \text{ are a linear pair.}[/tex]
2) Definition of Linear Pair:
[tex]m\angle PRS+m\angle SRT=180[/tex]
3) Given:
[tex]m\angle PRS=2x+12[/tex]
4) Given:
[tex]\displaystyle m\angle SRT=6x+8[/tex]
5) Substitution Property:
[tex](2x+12)+(6x+8)=180[/tex]
6) Combine Like Terms:
[tex]8x+20=180[/tex]
7) Subtraction Property of Equality (subtract 20 from both sides):
[tex]8x=160[/tex]
8) Division Properety of Equality (divide both sides by 8):
[tex]x=20[/tex]
9) Given (this step is optional. You don’t have to include this):
[tex]m\angle PRS=2x+12[/tex]
10) Substitution:
[tex]\displaystyle m\angle PRS=2(20)+12[/tex]
11) Multiplication:
[tex]m\angle PRS=40+12[/tex]
12) Addition:
[tex]m\angle PRS=52[/tex]
Answer:
sorry i dont realy understand that
Step-by-step explanation:
Related Questions
10.) A fitness center
charges a $100 initiation
fee plus $40 per month.
f(m) =
Answers
The Fitness center charges $40 per month(your x) and it is a $100 initiation(your y)
Answer:
f(m)=40x+100
Step-by-step explanation:
40 is your rate which is x and 100 is the initial fee which is y.
Jack earned $6.00 per hour before being given a 3% raise. What was Jack’s new wage after the raise?
Answers
Answer:
$6.18 per hour
Step-by-step explanation:
3% of 6 is 0.18You can get this number by multiplying 0.03 by 6
Add 0.18 to 6 and that gives Jack $6.18the equation of a line is y-3x+10. the slope is changed to 3 and the y-intercept is changed to -4 what is the new equation of the line what is the effect to the line
Answers
This affects the previous line because now the slope is a positive which completely turns it around. and the Y intercept is now on the opposite side of the X axis
A new youth sports center is being built in a safe harbor. The perimeter of the rectangular playing field is 510 yards. The length is the field is 5 yards less than quadruple the width. What are the dimensions of the plying field?
Answers
Answer:
L=203 yardsW=52 yardsStep-by-step explanation:
Step one:
given data
perimeter= 510 yards
let the width be x, width=x
length= (4x-5)-----quadruple mean 4 times
Step two:
the expression for perimeter is
P=2L+2W
510=2(4x-5)+2x
510=8x-10+2x
510+10=8x+2x
520=10x
divide both sides by 10
x=520/10
x=52
the width is 52 yards
the lenght is (4x-5)
L=4(52)-5
L=208-5
L=203 yards
what is 6(5g + 2) = 30g
Answers
Answer:
g ∈ ∅
Step-by-step explanation:
Expand the expression
30 g + 12 = 30
Cancel out the 30g on both sides
12 = 0
Decide whether the statement is true or false
g ∈ ∅
[(9 - 6)² - 3 × 5] 20 =
Answers
Answer:
the answer is -120
Step-by-step explanation:
trust :)
[9-3x5]20
[9-15]20
[-6]20
-120
The New England patriots scored 9 points in the first half. In the second half they scored 3 less than 2 times the points in the first half. What is the ratio of of the points and scored in the second half to the total number of points scored
Answers
Answer:
[tex]S : T = 5 : 8[/tex]
Step-by-step explanation:
Represent the first half with F and the second with S
We have that:
[tex]F = 9[/tex] --- From the first statement
[tex]S = 2F - 3[/tex] --- From the next statement
Required
Determine the ratio of S to the total point
First, we need to determine the value of S
Substitute 9 for F in [tex]S = 2F - 3[/tex]
[tex]S = 2 * 9 - 3[/tex]
[tex]S = 18 - 3[/tex]
[tex]S = 15[/tex]
Next, we determine the total points
[tex]Total = F + S[/tex]
[tex]Total = 9 + 15[/tex]
[tex]Total = 24[/tex]
The ratio of S to total is: (Represent total with T)
[tex]S : T = 15 : 24[/tex]
Divide both ration by 3
[tex]S : T = 15/3 : 24/3[/tex]
[tex]S : T = 5 : 8[/tex]
Hence, the ratio is 5 to 8
Albert wants to buy two pomegranates and some peaches • The price of one pomegranate is $1.59. • The price of peaches is $1.19 per pound. Albert wants to spend no more than $10.00. How many whole pounds of peaches can Albert buy if he wants to spend less than $10.00? 4 5 6 7
Answers
Answer: 5
Step-by-step explanation:
Answer: 5
Step-by-step explanation: hope this helps
In Triangle DEF, f = 160 cm, d = 670 cm and ZE=114°. Find the length of e, to the nearest
centimeter.
Answers
Answer:
This is an obtuse scalene triangle with the length of E measuring around 749 cm.
<D = 54.754° ≈ 55°
<E = 114°
<F = 11.246° ≈ 11°
Side D = 670 cm
Side E = 749.46937 cm ≈ 749 cm
Side F = 160 cm
Explanation:
When given two sides, and an angle, we can use trigonometry to find the missing angles, and sides.
Given the triangle ∆DEF with side D measuring 670 cm, side F measuring 160 cm, and angle E measuring 117°, we can apply the law of sines to identify the missing information. A & a chronologically refers to the first angle, and side. B & b chronologically refers to the second angle, and side. And C & c chronologically refers to the third angle, and side.
a / Sin (A) = b / Sin (B) = c / Sin (C)
[side 1]. [side 2]. [side 3].
↓ ↓ ↓
sideD/sin(<D) SideE/sin(<E) SideF/sin(<F)
______________________________
670cm / Sin(D) = E cm / Sin(114) = 160 / sin(F).
Since we are only given two sides with an angle measure, we can refer to the law of cosines to figure this one out.
It states that A = arccos(b²+c²-a²/2bc) → cos(A) = b²+c²-a²/2bc
B = arccos(a²+c²-b²/2ac) → cos(B) = a²+c²-b²/2ac
and C = arccos(a²+b²-c²/2ab) → cos(C) = a²+b²-c²/2ab
capital A, B, and C are angles A, B, and C.
lowercase a, b, and c are sides a, b, and c.
Therefore c² = a² + b² − 2ab cos(C),
b² = a² + c² - 2ac cos (B), and a² = b²+c² - 2bc.
SOH CAH TOA.
Since we know this, we can solve for pretty much everything as long as we are given at least 3 variables. Chronologically, because we are solving for side e, we must use b² = a² + c² - 2ac cos (B), because the rest are only variables we are given, making it easy to solve. So b² = 670² + 160² - 2(670 × 160) × cos(114°) = 561704.3362754.
Now take the square root of that to get b by itself, so √561704.3362754.... = 749.4693698046.... ≈ 749
Answer:749
Step-by-step explanation:
S.A.S law or Cosines
e=561704.33628= 749.469= 749
interior and exterior of angles of triangles
please help !!
Answers
Answer:
x = 20
Step-by-step explanation:
Assuming you require the value of x
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
7x - 15 is an exterior angle of the triangle, thus
7x - 15 = x + 28 + 4x - 3 , that is
7x - 15 = 5x + 25 ( subtract 5x from both sides )
2x - 15 = 25 ( add 15 to both sides )
2x = 40 ( divide both sides by 2 )
x = 20
Find the slope of the line on the graph. Write your answer as a fraction or a whole number, not a mixed number or decimal. Enter the correct answer. I'LL GIVE THE BRAINLIEST
Answers
(0,4), (1,6)
Find slope
(6-4)/(1-0) = 2/1 = 2
Hai has 24 video games. Six of his games are sports related and the rest are role-playing games. Which ratio represents the number of his role-playing games to the total number of games? One-fourth One-third Two-thirds Three-fourths
Answers
Answer:
3/4
Step-by-step explanation:
24-6=18--> role playing games
18/24=3/4
Answer: 3/4
Step-by-step explanation:
Your comment will be deleted along with your account BlueDragon123r5 You are working on finding x in the diagram above. You come up with the equation: 9y + 7 = 2y + 98. Your friend who has just started Algebra is blown away and doesn't understand how you came up with the equation. Explain to your friend how you found the equation and how to solve it.
Answers
Answer
I know how to solve it just don't know how to explain how you came up with the equation
Step-by-step explanation:
To solve 9y+7=2y+98 you add 9y+2y and you get 11y and then you add 7+98 and get 105 then you put 11y=105 divide both ides by 11 y= 9.54
A pair of shoes costs $30.99 and the state sales tax is 4%. Use the formula C = p + rp to
find the total cost of the shoes, where C is the total cost, pis the price, and r is the sales tax
rate.
$32.23
$39.19
$43.39
$34.99
Answers
Answer:
the answer is A. $32.23
Step-by-step explanation:
Answer:
$32.00
Step-by-step explanation:
To find the sales tax always multiply the sales tax to to the cost of you item.
Being your sales tax is 4% you will Multiply 30.99 x .04 (not just 4)
30.99 x .04 = 1.2396 ( round to the nearest tenth) since the number after the 3 is 5 or above ,,,,round it off to 24...Making it $1.24 (tax) Now add that to your cost of the shoes
$30.99 + $1.24 = $32,23
For future : if the tax is 10, 20, 35%... You will multiply the cost of item by .10, .20, .35 (put the point in front of it .
The graph of g(x) is the result of translating the graph of f(x) = 3x six units to the right. What is the equation of g(x)?
g(x) = 3x – 6
g(x) = 3x + 6
g(x) = 3x – 6
g(x) = 3x + 6
Answers
Answer:
Its A
Step-by-step explanation:
Trust me
Answer:
a
Step-by-step explanation:
In a survey of 31,000 people who owned a certain type of car, 2,015 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answers
Answer:
6.5%
Step-by-step explanation:
2,015/31,000 = .065
In each table, y and x are in a proportional relationship.
Select the table with a constant of proportionality of –3.
A. 'x' is 1 2 3. 'y' is -3,-6,-9
B. 'x' is 1, 2, 3. 'y' is -1, -2, 0
C. 'x' is 1, 2, 3. 'y' is -3, -3, -3
D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1
Answers
The table with a constant of proportionality of –3 are
A. 'x' is 1 2 3. 'y' is -3,-6,-9
A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3
A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1
y = k × x
where,
k = constant of proportionality
A. 'x' is 1 2 3. 'y' is -3,-6,-9
y = k × x
-3 = k × 1
- 3 = k
k = -3
B. 'x' is 1, 2, 3. 'y' is -1, -2, 0
y = k × x
-1 = k × 1
-1 = k
k = -1
C. 'x' is 1, 2, 3. 'y' is -3, -3, -3
y = k × x
-3 = k × 1
-3 = k
k = -3
D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1
y = k × x
-3 = k × 1
-3 = k
k = -3
or
y = k × x
-3/2 = k × 2
-3/ 2 = 2k
k = -3/2 ÷ 2
k = -3/2 × 1/2
k = -3
Therefore, the table with a constant of proportionality of –3 are
A. 'x' is 1 2 3. 'y' is -3,-6,-9
A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3
A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1
Read more:
https://brainly.com/question/13441754
help me with this please
Answers
Answer:
C is correct
Step-by-step explanation:
3+6=9
2 sides on a triangle must be greater than the other side
Bob went out to dinner and paid a 15% tip on a $20 meal? How much is the total bill?
Answers
Answer:
23
Step-by-step explanation:
15% of 20 = 3 then add the 3 to the 20 to get 23
23Answer:
Step-by-step explanation:
15/100*20 = 3
20+3 = 23
what is the slope and equation of a line perpendicular to the y-axis passing through the point (-3,8)
a) slope is 0 and the equation is y= -3
b) slope is undefined and the equation is x=8
c) the slope is undefined the equation is x=-3
d) the slope is 0 the equation is y=8
Answers
Answer:
D
Step-by-step explanation:
I'm not entirely sure if I'm correct but from what I gathered I'm pretty sure it's D.
The relationship between the number of hours a plumber works and the total work fee
she charges is proportional. Her fee for 5 hours of work is $350.
Which of the following could be combinations of values for the plumber's work hours
and total work fee she charges?
Hours 3 - $270
Hours 3.5 - $245
Hours 6 - $440
Hours 7.25 - $530,50
Answers
Answer:
ANSWERS ARE B, C, AND D.
Step-by-step explanation:
I found the unit rate of 350 and 5, because we can use a calculator (as stated on top) I just punched in 350 divided by 5 and got 70. Now i know this may not sound that "professional", but nothing needs to always be professional as long as its efficient and most importantly gets you the right answer. I then took the time to multiply each number, (the ones on the left : 3, 3.5, 6, 7.25, and 8) by 70. If the answer you got on the calculator match up to the number on the right, (240, 420, 507.50, and 490) its correct, if it doesn't match up, you can tell that its most likely not the answer. You should end up with three answers that all end up having the unit rate of 70. Hope this helps anyone who needed it.
ANSWERS ARE B, C, AND D.
Answer:
The answer is B,C, And D
Step-by-step explanation:
I just saw it on Khan and got it right.
1 Which expression is equivalent to (7x – 5) – (3x - 2)?
Answers
Answer:
The answer is D.
Step-by-step explanation:
Evan told his mom that he could make 14/ 12 of a cake and 5/ 6 of another cake into 2 whole cakes his mom said no way prove it explain why or why not
Answers
Answer:
The mother is wrong
Step-by-step explanation:
What we do here will be to add the fractions of the cakes that we have
Mathematically, that will be;
14/12 + 5/6 = 24/12 = 2
This means that the mother is wrong and the cakes can actually be made into 2
find
Given
\qquad m \angle AOCm∠AOCm, angle, A, O, C is a straight angle.
\qquad m \angle BOC = 6x + 29^\circm∠BOC=6x+29
m, angle, B, O, C, equals, 6, x, plus, 29, degrees
\qquad m \angle AOB = 3x + 124^\circm∠AOB=3x+124
m, angle, A, O, B, equals, 3, x, plus, 124, degrees
Find m\angle BOCm∠BOCm,
angle, B, O, C:
Answers
Answer: 47 degrees
Step-by-step explanation:
The measure of an angle BOC from the given figure is 47°.
What is an angle?An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.
Given that, m∠AOC is a straight angle, m∠BOC=6x+29° and m∠AOB=3x+124°.
We know that, a straight angle measures 180°.
Now, m∠BOC+m∠AOB=m∠AOC
6x+29°+3x+124°=180°
9x+153°=180°
9x=27°
x=3°
So, m∠BOC=6x+29°
=6×3+29°
= 47°
Therefore, the measure of angle BOC is 47°.
To learn more about an angle visit:
https://brainly.com/question/28451077.
#SPJ2
Will mark Brainliest. Question above
Answers
please help !!!!!!!!
Answers
Answer:
Maybe c
Step-by-step explanation:
First answer the problem 3,216 divided by 8 and ur quotiont/answer u then will look at the answer and find the first diget and then answer what place is that didet in.
Answers
Answer:
Quotient/Answer = 402
Hence the first digit is 4 and it's place value = hundreds
Step-by-step explanation:
Quotient = Dividend ÷ Divisor
Dividend = 3216
Divisor = 8
Quotient = 3216 ÷ 8
= 402
We are asked to find the place value of the first digit
Hence the first digit is 4 and it's place value = hundreds
pls help me yes you help
Answers
Answer:
C
Step-by-step explanation:
Answer:
C) A car can travel 80 miles on 2 gallons of gasoline.
Step-by-step explanation:
They gave us the unit rate which is 40 mile/1 gallon of gasoline. With the unit rate, we can then simplify each answer choice.
Simplified version of answer a: 1 mile/40 gallon of gasoline (we know it is wrong because it doesn't match with the unit rate.)
Simplified version of answer b: 41 mile/ 1 gallon of gasoline (we know it is wrong because it doesn't match with the unit rate.)
Simplified version of answer c: 40 miles/1 gallon of gasoline (this one is the correct answer since it matched the unit rate.
Simplified version of answer d: 40 miles/ 20 gallon of gasoline (we know it is wrong because it doesn't match with the unit rate.)
Hope this helped you : )
If the sum of the greatest and smallest of 4 consecutive even integers equals 30, what is the sum of all four integers?
Answers
Answer:
The sum of all four integers is 60.
Step-by-step explanation:
Let the integers be x, x + 2, x + 4, and x + 6.
x + x + 6 = 30
2x = 24
x = 12
So x + x + 2 + x + 4 + x + 6 = 4x + 12 = 60
Answer:
________________________
What is the value of a3 in the sequence?
5, 10, 20, 40, 80...