Answers
We know that:
[tex]x - 11 \space\ and \space\ 2x + 8 \space\ are \space\ a \space\ linear \space\ pair. \space\ (Refer \space\ to \space\ attachment.)[/tex]This means that:
[tex](x - 11) + (2x + 8) = 180[/tex]Step-by step calculations:
Open the parenthesis:
[tex](x - 11) + (2x + 8) = 180[/tex]=> [tex]x - 11 + 2x + 8 = 180[/tex]Combine like terms:
=> [tex]x - 11 + 2x + 8 = 180[/tex]=> [tex](x + 2x) + (-11 + 8) = 180[/tex]Simplify the LHS:
=> [tex]3x - 3 = 180[/tex]Add 3 both sides:
=> [tex]3x - 3 = 180[/tex]=> [tex]3x - 3 + 3 = 180 + 3[/tex]=> [tex]3x = 183[/tex]Divide 3 both sides:
=> [tex]\frac{3x}{3} = \frac{183}{3}[/tex]=> [tex]x = 61[/tex]
Same side exterior angles are linear pair and have sum 180°
[tex]\\ \rm\Rrightarrow x-11+2x+8=180[/tex]
[tex]\\ \rm\Rrightarrow 3x-3=180[/tex]
[tex]\\ \rm\Rrightarrow 3x=183[/tex]
[tex]\\ \rm\Rrightarrow x=61[/tex]
Related Questions
on october 14, bob has $20
on october 20, bob has $80
if bob continues to save money at this rate, how much money will he have on october 23?
Answers
I jus need help on the ounces
Answers
Answer:
4 pounds = 64 ounces and 5 pounds = 80 ounces
Step-by-step explanation:
One pound is 16 ounces
So pound to ounces you multiply by 16
Thus:
4 * 16 = 64
5 * 16= 80
HOPE IT HELPED
Answer:
64, 80
Step-by-step explanation:
you would just multiply by 16 since 16oz = 1lb
Please help me with this. Will give brainliest to the best answer. Image attached
Answers
Answer:
1: x= 10
Step-by-step explanation:
I only know the first one, sorry, but if its any help then for #2: x= 8
Need answer I don’t have much time
Answers
Hope this helped :)
what is 2⁵ evaluation
Answers
PLZ Help
Will mark brainliest and give 100 points
its a long one so dm me abt 50 more!
Answers
Answer:
yes check and click your profile
Step-by-step explanation:
PLS HELP ME ASAP I'LL GIVE BRAINLYEST
Answers
The 9th grade class at Georgia high School wanted to go on a field trip to a soda factory. The trip will cost $100. The students decided to write a class newspaper and sell it to the kids at their school. Each of the 20 students will be given a 16-inch square for his/her article in the newspaper. How many pages long will the newspaper be if they used paper that was 8 ½ x 11 inches?
Answers
Answer:
2 Pages Long
Step-by-step explanation:
It’s 3828287372 soooo it’s not the answer it’s tho 188472828478282747
A Camaro travels 82.5
miles in one half
hour. How many miles
per hour does it
travel?
Answers
Answer:
165 miles per hour
Step-by-step explanation:
2 (half an hour) = one hour
so
2(82.5) = 165 mph
*
3. Solve for x
Please need help ASAP
Answers
is this a function if is not tell why
Answers
Answer:
yes
Step-by-step explanation: all inputs go to one output but they do not go over more than once that is why
The perimeter of a rectangular swimming pool is 154 m. Its
length is 2 m more than twice its width. What are
length and the width of the pool ?
Answers
Answer:
breadth =25 m and length =25×2+2=52 m
Step-by-step explanation:
Solve the equation. Show all Work. (4 points)
73 + 3(-x + 6)=42
1 pt. for correct answer. 3 point for all correct work shown. Remember to make sure
you show what operation you perform to both sides of the equation for every step.
Answers
Answer:
6
Step-by-step explanation:
7x + 3(-x + 6) = 42
use distributive property
7x + -3x + 18 = 42
positive + negative = negative
7x - 3x + 18 = 42
combine like terms
4x + 18 = 42
subtract 18 from both sides
4x + 18 - 18 = 42 - 18
18 is canceled out on the left side
4x + 0 = 24
4x = 24
divide both sides by 4
4x ÷ 4 = 24 ÷ 4
1x = 6
x = 6
Simplify.
2(m + 11)
2m + 11
2m + 22
24m
22m
Answers
Answer:
b 2m + 22
Step-by-step explanation:
m times 2 is 2m and 11 times 2 is 22
Answer:
2m + 22
Step-by-step explanation:
Step 1: Write expression
2(m + 11)
Step 2: Distribute (Distributive Property)
2m + 22
We simply distribute 2 to each term in the parenthesis.
Which ordered pair is a solution to the system of inequalities?
y> 2x
y> 3
O A. (4,6)
O B. (2,4)
O C. (1,5)
O D. (0,3)
Answers
Answer:C
Step-by-step explanation:
BIG BRAIN
The solution is, C. (1, 5), ordered pair is a solution to the system of inequalities.
Here, we have,
We have the following system of inequalities:
y> 2x
y> 3
We graph each inequality and obtain the following:
Now we graph each point and the one that remains inside the purple zone, would be the system solution, like this:
We can see that the only option that remains within the point zone is the point (1, 5)
therefore, the correct answer is C. (1, 5)
To learn more on inequality click:
brainly.com/question/24853349
#SPJ7
∠A and ∠B are complementary angles. If m∠A = (6x + 29)° and m∠B = (x + 5)°, then find the measure of ∠A
Answers
Answer:
77 degrees
Step-by-step explanation:
6x+29+x+5= 90
7x=56
x=8
m<A = 77 degrees
John has a square room with the area of 121 what is the side length of the room
Answers
Answer: 11
Step-by-step explanation:
11x11=121
Jasmine has just started high school she finds that she is struggling to manage her time and complete all of her assignments how could she use communication to help her learn to manage her time
Answers
HELLP
Using the graph: after a reflection, the image vertices are A’(5,1),B’(3,-1) and C’(7,-1) what is the line of reflection?
Answers
Answer:
x=2
Step-by-step explanation:
the line that is being refected over is x=2
After changing its format, a radio station lost 34% of its listeners. If there were an estimated 83.000 listeners originally, how many listeners does the radio
station have now?
Answers
Answer: 54
Step-by-step explanation: 1.00-34 is 0.66 and multiply that by 83 gives you 54.78 but you can't have 78 of a person so you round down
I need help with this question?
Directions:Write the equation of each line. Explain what the slope and y-intercept represents in the context of each graph.
Answers
we are gone find 2 points on the graph so i would use (10,30) (20,60)
m=y2-y1/x2-x1
60-30/20-10
30/10
m=3
slope = 3
equation is y=3x
Mr. West estimated a mass to be 265g, but upon carefully measuring it, found the actual mass to be 240g. What was the percent error?
Answers
Answer:
The answer is 10.42 %Step-by-step explanation:
The percentage error of a certain measurement can be found by using the formula
[tex]P(\%) = \frac{error}{actual \: \: number} \times 100\% \\ [/tex]
From the question
actual mass = 240 g
error = 265 - 240 = 25
So we have
[tex]p(\%) = \frac{25}{240} \times 100 \\ = 10.41666666...[/tex]
We have the final answer as
10.42 %Hope this helps you
Mallory is 2 years older than three times her brother Jake’s age.
Let j represent Jake’s age.
During the strategize step of the five-step problem-solving plan, which expression where do you use to represent Mallory’s age?
A. 3j+2
B. 2j+3
C. j+2
D. 3(j+2)
Answers
Answer:
A) 3j + 2
Step-by-step explanation:
sorry, I always have trouble explaining this kind of question. hope I was still able to help!
What number does the calculator display represent?
Answers
Answer:
C
Step-by-step explanation:
3.305 + 1.7 what's the sum? Also more questions are coming just doing a test
Answers
3.305
+1.7
5.005
Line up the decimal points and add like you usually would add.
5.005 is the answer.
Audrey charges a flat fee of $4 for each delivery plus a certain amount, in dollars per mile, for each mile she drives. For a distance of 30 miles, Curtis and Audrey charge the same amount. How much does Audrey charge, in dollars per mile? Show your work
Answers
what is the value of x?
Answers
Answer:
The value of x is 8 cm
Step-by-step explanation:
we can see that there are two triangles
smaller triangle and larger triangle
and both triangles are similar
so, the ratio of their sides must be equal
we get
now, we can solve for x
we can cross multiply
Divide both sides by 5
Subtract both sides by 13
divide both sides by 2
we're doing literal equations in math and i dont understand how i would solve this question, please help!
Answers
Answer:
x = -4u/3
Step-by-step explanation:
The first step is to create a fraction on both sides in order to prepare for cross-multiplication.
Cross-multiplication is a shortcut for the following technique, shown by this example.
a/b=c/d
Multiplying both sides of the equation by bd using the multiplication property of equality will then grant the equation ad = bc, and then a single component can be isolated by creating the equation a = bc/d for example using the division property of equality.
Back to cross-multiplication, however, creating a fraction of both sides can be achieved by creating the equation u/1 = -3x/4, since any number divided by 1 is equal to itself.
Then, by cross-multiplying u and 4 and 1 and -3x, you get the equation 4u = -3x.
Dividing both sides by -3 will then grant the final answer of x = -4u/3.
You want to purchase your first house. A conventional mortgage will require a credit score of approximately 630. Your credit score is 560. You need to increase it by 70 points to get to 630. If you increase your score by 12% per year, how many years will it take to lift your score to 630?
Answers
Answer:
a) 1.1 yrs
Step-by-step explanation:
THESE ARE OPTIONS FOR THE QUESTION BELOW;
a) 1.1 yrs
b) 2.3 yrs
c) 26 yrs.
d) 12 yrs.
✓At initial year (0 year) credit score =560 points
Then the score is increased by 12% per year, with this 12% increase we have 702.4 points in the 1st year
✓At the first year(1st year)
(12/100)× 560 points of the initial year.
= 627points
✓ At second year (2nd year), the 627points
increases by 12% again.
(12/100)× 627.2 points of the initial year.
= 702.4points
There was 75.2 increase between istyear and second year(702.4points - 627points)
Since, We have 12 month in a year, that means there is 6.2 points per month (75.2/12) for the year .
After second year we had 627points, with increase of 6.2point, Then at 1.1 year we would have score of 630 points
Answer:
11
Step-by-step explanation:
how do I do this homework???
Answers
Step-by-step explanation:
a)
135
/ \
3. 45
/ \
3. 15
/ \
3. 5
b)
250
/ \
10 .25
/\ / \
2 5. 5 5
c)
351
/ \
3. 117
/ \
3. 39
/ \
3. 13
Hope it helps :)