Sum of Angles
Find the value of x and the measure of every angle.
It is Geometry
Answers
If the sum of a triangle equals 180 degrees we’ll go off of that by doing this.
(7x+8)+(5x+2)+(7x-1)=180
7x+8+5x+2+7x-1=180
19x+9=180
19x=180-9
19x=171
19x/19=171/19
x=9
With that let’s find each angle,
I’ll just label them A, B, C.
A: (7x+8)
7(9)+8
63+8=71
B: (7x-1)
7(9)-1
63-1=62
C: (5x+2)
5(9)+2
45+2=47
71+62+47=180
Related Questions
A members-only speaker series allows people to join for $28 and then pay $4 for every event attended. What is the total cost for someone to attend 4 events? Write and solve an equation to find the answer
Answers
Given:
Joining fee = $28
Fee of each event = $4
To find:
Total cost for someone to attend 4 events.
Solution:
Let the number of events be x and total fee be y.
Fee for 1 event = $4
Fee for x events = $4x
Joining fee remains constant. So, the total fee is
[tex]y=28+4x[/tex]
Substitute x=4 in this equation.
[tex]y=28+4(4)[/tex]
[tex]y=28+16[/tex]
[tex]y=44[/tex]
Therefore, total cost of 4 events is $44.
One lap around a dirt track i 1/3 mile. It takes bryce 1/9 hour to ride one lap. what is bryce's unit rate, in miles, around the track?
Answers
Answer:
3 mph
Step-by-step explanation:
To make 1/9 hour to 1 hour, you need to x9.
You can use this way:
Let the speed be x
(1/3)/(1/9)=x/1
1/9x=1/3
x=3
3mph
Hope is this useful :D
I will give brainliest to right answer
7th grade math
12 = 5/2 b
find the value of b
Answers
Answer:
[tex]\huge\boxed{b=\dfrac{24}{5}\to b=4\dfrac{4}{5}\to b=4.8}[/tex]
Step-by-step explanation:
[tex]12=\dfrac{5}{2}b\to\dfrac{5}{2}b=12\qquad|\text{multiply both sides by 2}\\\\2\!\!\!\!\diagup\cdot\dfrac{5}{2\!\!\!\!\diagup}b=12\cdot2\\\\5b=24\qquad|\text{divide both sides by 5}\\\\\dfrac{5b}{5}=\dfrac{24}{5}\\\\b=\dfrac{24}{5}\to b=4\dfrac{4}{5}\to b=4.8[/tex]
Use the chart to help u ;-;"
Answers
44735758 x 46639756-435333 divided by 48883 = what pls help will give brainleist
Answers
Answer:
2.0864648e+15
Step-by-step explanation:
Answer:
Ok this is a long one 4,792,801,917.519956
Hope this helps! But is this for a class or were you just wondering?
What does W equal? I’m lost
Answers
Answer:
it looks like it would be 69% like the one below it
Step-by-step explanation:
PLEASE ANSWER I WILL GIVE YOU BRANLEST!!!!!!!!!
choose two rules.
Answers
Answer:
they both have a pattern and different shapes
Step-by-step explanation:
give me brainlest NOW
Find the area of the shape above. Will give brainliest answer.
Answers
Answer: 3/5
Step-by-step explanation:
A=a+b/2h
Since the bottom width = 4 and the top length =2 and the length = 5
2+4=6
2(5)=10
so 6/10 = 3/5
If the perimeter of ABC = 9.7cm,
E is the midpoint of AC, and DE||BC, find the length of DE.
Answers
Answer:
3.2333 (repeated)
3.23 (rounded
Step-by-step explanation:
ADE is 1/3 of ABC so we just divide the perimeter by 3
9.7cm / 3 = 3.2333
This rounds to: 3.23
Choose Yes or No to tell if the number 103 will make each equation true. 6.01 × □ = 601 No 0.305 × □ = 305 No 0.54 × □ = 540 No 0.097 × □ = 970 Yes
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the equations :
6.01 × □ = 601 No 0.305 × □ = 305 No 0.54 × □ = 540 No 0.097 × □ = 970 Yes
Will the number 103 will make each true?
601 / 6.01= 100 (No, not true)
305 / 0.305 = 1000 (No, not true)
540 / 0.54 = 100 (No, not true)
970 / 0.097 = 10000 (No, not true)
Hence, multiplying each of the equation above by 103 will not make any of the equations true.
solve by factoring x^2 -9 =0
Answers
X^2 - 9 = 0
(X+3)(X-3) = 0
X + 3 = 0
X = -3
X - 3 = 0
X = 3
Hey everyone! What is -9.56 - (-1.235) = ?
Thanks!
Answers
Step-by-step explanation:
-9.56 - (-1.235)
=-9.56+1.235
=-8.325
The top view of a portion of streets in Buffalo, New York is shown. Williams Street runs parallel to Broadway Street and the angle where the Storage is located has a measure of 120 degrees.
Identify other businesses that occupy corners with an angle measure of 120 degrees. Select all that apply.
Answer Choices:
Auto Parts
Charity
Furniture
Pharmacy
Restaurant
Answers
Answer:
Auto Parts, Furniture and restaurant.
Step-by-step explanation:
if you add furniture and pharmacy or charity with restaurant, they equal 180. so the bigger one would be 120 as lines are parallel and this is a single straight line passing through.
What is the vertical intercept (or y-intercept) of the line below?
(0,6)
(-3,0)
Answers
Answer:
-6 ?
Step-by-step explanation:
Can someone help me please
Answers
Evaluate x/4 for x=48
Answers
Hey there!
If x = 48
48/4 = 12 because 12 • 4 equals 48
Answer: 12
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
x=8
Step-by-step explanation:
{x}{4}x=48
{x^2}{4}=48
{4x^2}{4}=48\
This talented group of dogs has 25 yards of ribbon. They want to cut the ribbon to make bows and awards. If each piece of ribbon needs to be 3/4 of a yard, how many bows will they be able to make?
Answers
Answer:
18.75 bows
Step-by-step explanation:
This talented group of dogs has 25 yards of ribbon. They want to cut the ribbon to make bows and awards. If each piece of ribbon needs to be 3/4 of a yard, how many bows will they be able to make?
The total number of yards =25 yards
Each piece of ribbon = 3/4 of a yard
Hence, the number of bows they can make is:
3/4 × 25 yards
= 18.75 bows.
PLEASE HELP ME
Write the equation from each line
Answers
Answer:
1) y = 2x - 2
2) y = - x - 1
3) y = 2/3 x + 1
4) y = 4x - 4
5) y = 3x + 6
6) y = -3x -3
7) y = 3 - x
8) y = 4 - 4x
If I parallel m, find the value of x and y
Answers
Answer:
x=24 y=9.8
Step-by-step explanation:
5y-23=3x
47+3x+2x+13=180
Identify the angles that each have a measure of 88
Answers
Answer: 86 and 4
Step-by-step explanation:
Hopefully this is the right answer!
Answer:
the answer for this question above is 1
Step-by-step explanation:
A bus company charges $1.35 a kilometre for chartering a bus. Each bus can transport a maximum of 54 students. Assuming that the a bus is full, how much should each child pay if the distance to be covered is 50 km?
Answers
Answer:
$1.25 is the answer in my opinion
Answer:
Each child should pay $1.25
Step-by-step explanation:
$1.35 * 50 = $67.5
$67.5/54 = $1.25
Lines j and k are perpendicular. The slope of line j is given. Find the slope of line k. m = 4/5
Answers
Answer:
A
Step-by-step explanation:
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{4}{5} }[/tex] = - [tex]\frac{5}{4}[/tex] → A
The 7th-grade class took a survey on their favorite ice cream. 58 people said they prefer vanilla, while 28 people said they prefer chocolate. Write a ratio comparing chocolate to vanilla. (Write it in a :b form)
Answers
The ratio would be 28:58
You can simplify it even further
to 14:29
Solve for y.
ln(2y−1)=3
Answer y=(e^3+1/2)
for future reference
Answers
Answer:
The correct answer should be:
[tex]y=\frac{1}{2}(e^3+1)\text{ or } y=\frac{e^3}{2}+\frac{1}{2}[/tex]
Step-by-step explanation:
We have the equation:
[tex]\ln(2y-1)=3[/tex]
Let’s remove the natural logarithm by raising both sides to e. This yields:
[tex]e^{\ln(2y-1)}=e^3[/tex]
The left will simplify to:
[tex]2y-1=e^3[/tex]
Add 1 to both sides:
[tex]2y=e^3+1[/tex]
Divide both sides by 2. So, the value of y should be:
[tex]y=\frac{1}{2}(e^3+1)[/tex]
Answer:
The correct answer is indeed y = [tex]\frac{e^3+1}{2}[/tex]
Step-by-step explanation:
I also took the test!
What is 3x-4y=10 on a graph
Answers
Answer:
Step-by-step explanation:
There are 40 DuBois students going on a field trip. Each one pays their teacher $8.75 to cover admission to the museum and lunch. Admission for the students is $120 and each one gets an equal amount to spend on lunch. How much will each DuBois student be able to spend on lunch? *
Answers
Given :
There are 40 DuBois students going on a field trip.
Each one pays their teacher $8.75 to cover admission to the museum and lunch.
Admission for the students is $120 and each one gets an equal amount to spend on lunch.
To Find :
How much will each DuBois student be able to spend on lunch.
Solution :
Amount they paid for admission :
[tex]P =\$ \dfrac{120}{40}\\\\P=\$3[/tex]
Now, amount of money to spend on lunch is $8.75 - $3 = $5.75 .
Hence, this is the required solution.
HELP PLEASE
classify the triangle
Answers
Answer:
I believe it would be an acute triangle.
The 9th and the 12th term of an arithmetic progression are 50 and 65 respectively find the sum of the first 70 terms
Answers
Answer:
Sum of the first 70 terms is 12,775
Step-by-step explanation:
For the 9th term, the formula is;
a + 8d = 50
For the 12th
a + 11d = 65
Subtract this from the equation above;
3d = 15
d = 15/3 = 5
To get a, we have a + 8(5) = 50
a = 10
The 70th term
will be
a + 69d
= 10 + 69(5)
= 355
Sum of the first 70
= n/2(a + L)
= 70/2( 10 + 355)
= 35 * 365 = 12,775
The $414 price charges a store for a small refrigerator consists of the refrigerator's original cost to the store plus a profit 15% what was the refrigerator's original cost to the store?
Answers
Answer:
$351.9Step-by-step explanation:
the question is not formatted well
A store charges $414 for a small refrigerator, the price consists of the refrigerator's original cost to the store plus a profit 15% what was the refrigerator's original cost to the store?
Step one:
given data
we are told that the price of the small refrigerator contains both the original price and 15% profit
mathematically
$414= original price + 15% profit
Step two:
let us solve for 15% of 414
=(15/100)*414
=0.15*414
=$62.1
This shows that the profit is $62.1
let the original price be x
$414= x + 62.1
solve for x
x=414-62.1
x=351.9
The refrigerator's original cost to the store $351.9
13. Jennifer has $900 in a savings account at the beginning of the summer. She wants to have at least $250 in the account by the end of November. She withdraws $35 each week for food and shopping. If w represents the number of weeks, which of the following inequalities could be used to solve for the amount of money she may have by the end of summer?
Answers
Answer:
455
Step-by-step explanation:
900-(35×13)=455