Answers
Answer/Step-by-step explanation:
5. 21x + 4 = 22x - 2 (corresponding angles)
Collect like terms
21x - 22x = -4 - 2
-x = -6
divide both sides by -1
x = 6
6. (x + 72) + (x + 132) = 180 (linear pair)
x + 72 + x + 132 = 180
Add like terms
2x + 204 = 180
2x = 180 - 204
2x = -24
x = -12
7. 90 = 22x + 2 (vertical angles)
90 - 2 = 22x
88 = 22x
Divide both sides by 22
4 = x
x = 4
8. 12x + 10 = 13x + 3 (vertical angles)
Collect like terms
12x - 13x = -10 + 3
-x = -7
Divide both sides by -1
x = 7
9. 17x = 16x + 5 (alternate exterior angles)
17x - 16x = 5
x = 5
✔️17x
Plug in the value of x
17(5) = 85°
10. 21x - 6 = 20x (corresponding angles)
Add like terms
21x - 20x = 6
x = 6
✔️20x
20(6) = 120°
Related Questions
Ms Louis deposited the same amount of money each month into her bank
account. The table below shows the total amount of money, a, she
deposited into the account after a certain number of months, t. since
opening it. Which equation models the relationship between a and t?
Answers
Answer:
last one 250t
Step-by-step explanation:
if u pluged in 4 for t to the equation u would get 1000 which is the correct amount
hope this helped!
Answer:
a = 250t or Answer D
Step-by-step explanation:
Y = mx+b
m = (y2-y1)/(x2-x1)
m = (2500-100)/(10-4)
m = 1500/6 = 250
y = 250x+0
y = 250x
Translate the inequality and solve. Three times a number is less than or equal to six.
Answers
Answer:
x ≤ 2
Step-by-step explanation:
We can write out the inequality as: 3(x) ≤ 6
You have to divide 3 from both sides, so x ≤ 6/3 which is x ≤ 2.
13 less than two-thirds of a number
Answers
Answer: 2/3x-13
Step-by-step explanation:
Bethany and Aidan each have candy bars that are the same size and shape. Bethany's candy bar is marked so that it can be broken into equal parts. Aidan's candy bar is marked to that it can be broken into equal parts. Bethany ate pieces of her candy bar. Aidan also ate pieces of his candy. What is this problem about?
Answers
Answer:
Step-by-step explanation:
This problem is most likely about what percentage of the candy does each individual have left. Since the phrase is explaining that each ones candy bar is the same size and can be broken into equally divided pieces then it is most likely about figuring out which one of the individual's has more candy left over when compared to the other's candy. This is possible since both candies are the same size but more information would be needed.
HELP FAST!!!!!!
Which shows two products that both result in negative values?
(-2.4)(1.8) and (-0.6)(-0.4)
(-2.4)(-1.8) and (-0.6)(-0.4)
(2.4)(–1.8) and (0.6K 0.4)
(2.4)(-1.8) and (-0.6)(-0.4)
Answers
Answer:
the answer is c aka (2.4)(–1.8) and (0.6)(–0.4)
Step-by-step explanation: i got it right on the test edge 2021
Solve for y:
32x + 14y = 23
Answers
I hope this helps it has been a while since I have done these
a triangle has side lengths 6,11 and 14. Is it acute, obtuse or right
Answers
Answer:
acute
Step-by-step explanation:
sorry if im wrong how I did it is on a paper or create a picture in your mind have a good night if you have a question please ask away in the comments
This triangle is obtuse.
What is right triangle?Triangle is defined as a triangle which one angle is a right angle or two sides are perpendicular.
Let a = 6 ,b = 11 & c = 14 be the sides of a traingle, c being longest of three
If a²+b²=c² it is right angled,
If a²+b²>c² it is acute,
If a²+b²<c² it is abtuse,
Substitue the values of a, b and c,
a²+b²= 6²+11² = 157
c² = 14² = 196
Since a²+b²<c²
Hence, this triangle is obtuse.
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Mmmm! I love apple cider punch this time of year, and so do all my neighbors. My recipe calls for
two quarts of apple cider, three teaspoons of cinnamon, and one pint of lemon-lime soda. This will
make enough for eight people to share. In my neighborhood, however, there are 72 people. How much
do I need of each ingredient to make enough for my whole neighborhood to share?
Answers
Answer and Step-by-step explanation:
72 people total, recipe makes for 8 people
so have to make it how many times? 72/8 = 9 times
apple cider
2 quarts * 9 = 18 quarts of apple cider
cinnamon
3 teaspoons * 9 = 27 teaspoons of cinnamon
lemon-lime soda
1 pint * 9 = 9 pints of lemon-lime soda
please give thanks by clicking the heart button :)
Answer:
the one who answered is true
is 5.6213 rational or irrational
Answers
Answer:
rational number
Step-by-step explanation:
5.6213 is the rational number
please help!! will mark brainliest
Answers
Answer:
I think it is the last one .
Step-by-step explanation:
Sophie Ruth is eating a 505050-gram chocolate bar which contains 30\%30%30, percent cocoa.
Answers
Answer:
60%
Step-by-step explanation:
she probably eats almost 60% of the cocoa contained in the chocolate. which is high and would increase the caffeine levels in her body
Options are:
a. (3, 0)
b. (0, 3)
c. (0, -2)
d. (- 2,0)
I’ll give you brainlest if you answer this question correctly!
Answers
In other terms (x,0)
You can see on the graph where the line meets the x intercept at (3,0)
Solution: a. (3,0)
What is the domain of f(x)?
What is the domain of g(x)?
Answers
Step-by-step explanation:
Domain is the range of x-values for the function to be defined.
Domain of f(x) = [2,9]
Domain of g(x) = [2,9]
Simplify: 3 + 2s - 4 + 3s
Answers
Answer:
-1 + 5s
Explanation:
3 - 4 = -1
2s + 3s = 5s
Answer:
5 − 1
Step-by-step explanation:
On the graph, the line representing Xena’s rate is less steep steeper than the line representing Steve’s ?
Answers
Answer:
The steepness shows how much the variables on the graph has changed and their rates.
1 2/3 yards of chain cost 9.00.
How much money for 1 yard
Answers
Alright nevermind, imma delete this answer.
Answer: $5.40
Step-by-step explanation:
1 and 2/3 yards costs $9
5/3 yards costs $9 <--- changes 1 and 2/3 to improper
5 * 1/3 yards costs $9 <---- 5/3 = 5 * 1/3
1/3 yard costs $9/5 = $1.80 <--- divides the ratio by 5
1 yard costs $1.80 * 3 = $5.40
Which table shows a proportional relationship between x and y?
Answers
Its the first answer because 7 divided by 1 = 7, 14 divided 2= 7, 28 divded 4 = 7
35 divided by 5 equals to 7
Its constant the number stays the same
PLEASE HELP WITH THIS WILL GIVE BRAINLIEST
Answers
Answer:
11 am to 2 pm
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answers
Answer:
10 is the correct answer because the half of 24 is 12 -2 =10 is the answer
need help please thanks
Answers
Answer:
k = 15
Step-by-step explanation:
4k - 2k = 2k
-21 - 11 = -10
2k - 10 = 20
30 - 10 = 20
2 × 15 = 30
.2
Simplify the expression
-9 + 2.5y - 0.7y + 1 + 6.4y^2
Answers
Answer:
6.4y^(2)+1.8y-8
Step-by-step explanation:
got it right edge 2020
PLZ HELP FAST :(
Expression A: 3(x+2)
Expression B: 3x+6
Which statement does not show that these expressions are equivalent?
A. Substituting any value of x makes the expression equivalent.
B. 3(x+2) can be rewritten as 3x+6 using the distributive property.
C. The expressions name the same number regardless of the value of x.
D. Both expressions inolve addition
Answers
Answer:
i would say it was either A or C
Answer:
B. 3(x+2) can be rewritten as 3x+6 using the distributive property.
Step-by-step explanation:
When you distribute 3 into x and 2 you get the equation 3x+6 (3x and 3(2)) which makes the expressions equivalent.
Scientists are preparing two satellites to be launched. The equation y=8200xy=8200x represents the number of miles, yy, that the satellite, Space Explorer B, flies in xx hours. The satellite, Space Explorer A, flies 28800 miles in 24 hours. How many fewer miles does Space Explorer A travel in one hour than Space Explorer B?
Answers
Answer:
It flies 380 miles fewer
Step-by-step explanation:
The correct question is as follows;
Scientists are preparing two satellites to be launched. The equation y=820x represents the number of miles, y, that the satellite, Space Explorer B, flies in x hours. The satellite, Space Explorer A, flies 28800 miles in 24 hours. How many fewer miles does Space Explorer A travel in one hour than Space Explorer B?
Solution;
For explorer B
The equation is;
y = 8200x
This mean that in 1 hour, it flies 820 miles
For explorer A
28,800 miles in 24 hours
In one hour, we have 28,800/24 = 1,200 miles
The number of fewer miles that explorer A travels will be ;
1200 miles - 820 miles = 380 miles fewer
Answer:
wrong
Step-by-step explanation:
what is y equal to 2x + 4y = -18
Answers
Slope = -1/2
Y intercept = -9/2
=====================================================
Work Shown:
2x + 4y = -18
2(x+2y) = -18 .... factor out 2
x+2y = -18/2 .... divide both sides by 2
x+2y = -9
2y = -9-x .... subtract x from both sides
2y = -x-9
y = (-x-9)/2 ... divide both sides by 2
y = (-x/2) - (9/2) ... break up the fraction
y = (-1/2)x - 9/2
The last equation is in slope intercept form y = mx+b with m = -1/2 as the slope and b = -9/2 as the y intercept.
Answer:
Step-by-step explanation:
2x + 4y = -18
2(x+2y) = -18 .... factor out 2
x+2y = -18/2 .... divide both sides by 2
x+2y = -9
2y = -9-x .... subtract x from both sides
2y = -x-9
y = (-x-9)/2 ... divide both sides by 2
y = (-x/2) - (9/2) ... break up the fraction
y = (-1/2)x - 9/2
The last equation is in slope intercept form y = mx+b with m = -1/2 as the slope and b = -9/2 as the y intercept.
Paula baked 36 cookies with 6 scoops of flour. With 8 scoops of flour, how many cookies can Paula
bake?
Answers
Answer:
36/6 = 6 cookies per scoop
6*8= 48 cookies
Step-by-step explanation:
the equation r=3cos(6theta) represents a rose curve. how many petals does the graph contain?
Answers
Answer: C, 12
Step-by-step explanation:
Got it correct on edge
Answer:
C: 12
Step-by-step explanation:
Took the quiz
Noelle swims 38 miles every week . Which equation best represents the total number of miles , m Noelle swam after w weeks
Answers
Answer:
38w (miles)
Step-by-step explanation:
38 miles per week
w weeks
-> 38w (miles)
Monique has 19 pieces of candy. She wants to give an equal number of pieces of candy to her 6 friends. How many pieces of candy will each friend get? Write your answer as a mixed number.
Answers
Answer:
3 1/6
Step-by-step explanation:
Answer:
3 1/6
Step-by-step explanation:
19/6= 3.1666666666666 also known as 3 1/6
check your work by multiplying 3 1/6 by 6 and get 19
It's timed plzzz help!!!
Answers
Answer:
Last Choice / D
Step-by-step explanation:
you want to isolate v!
E = 1/2 m v^2
multiply both sides by 2
2E = mv^2
divide both sides by m
2E/m = v^2
square root both sides
v = ±[tex]\sqrt{2E/m}[/tex]
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Answer:
[tex]D.v= \± \sqrt{\frac{2E}{m}}[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\Kinetic\ Energy\ possessed\ by\ an\ object=\frac{1}{2}mv^2\\Hence,\\E_k=\frac{1}{2}mv^2\\2E=2*\frac{1}{2}mv^2 [Multiplying\ both\ the\ sides\ with\ 2]\\2E=mv^2\\\frac{2E}{m}=\frac{mv^2}{m}[Dividing\ both\ the\ sides\ by\ m]\\\frac{2E}{m}=v^2\\Now,\\As\ v\ could\ be\ positive\ or\ negative\ but\ its\ square(v^2)\ would\ always\ be\ positive.\\[/tex]
[tex](\± v)^2= v^2\\Hence,\\\frac{2E}{m}= (\±v)^2 \\\sqrt{\frac{2E}{m}} = \±v\\Or,\\ v= \± \sqrt{\frac{2E}{m}}[/tex]
What is 6 - 2 over 3 (x + 5) = 4x algebraically
Answers
Answer: x = 4/7
Explanation and steps is in the image below.
The solution to the given equation 6 - 2(x + 5)/3 = 4x is x = 4 /7.
What is the equation?The equation is defined as an algebraic statement that has a minimum of two terms containing variables or numbers that are equal.
The equation is given in the question
6 - 2(x + 5)/3 = 4x
Apply the distributive property of multiplication,
6 - (2x + 10)/3 = 4x
(2x + 10)/3 + 4x = 6
2x/3 + 10/3 + 4x = 6
2x/3 + 4x = 6 - 10/3
Take the LCM in the above equation,
14x/3 = 8/3
14x = 8
x = 8 / 14
x = 4 /7
Thus, the solution to the given equation 6 - 2(x + 5)/3 = 4x is x = 4 /7.
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