Answer:
DF=GI
Step-by-step explanation:
Follow the order
it is Given That
DEF=GHI
DF=GI
DE=GH
EF=HI
Find the sum of the interior angle measures of a convex 15-gon (a fifteen-sided polygon).
Answer:
2340 degrees.
Step-by-step explanation:
The sum of the interior angle measures of any polygon can be calculated using the following expression ([tex]n[/tex] is the number of sides the polygon has):
[tex]180(n-2)[/tex]
For a 15-sided polygon, plug in 15 for n and simplify:
[tex]180(15-2)=180(13)[/tex]
Multiply to solve:
[tex]180(13)=2340[/tex]
For a 15-sided polygon, the sum of the interior angles must be 2340 degrees. You can go a step further and divide 2340 by 15 to figure out the individual measure of each interior angle (156 degrees).
The sum of the interior angles of a fifteen-sided polygon is 2340°.
What is the formula for interior angle of a regular polygon?The formula for calculating the sum of interior angles is (n-2)×180° where is the number of sides. All the interior angles in a regular polygon are equal. The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides.
Given that, a fifteen-sided polygon.
Now, the sum of the interior angle measures is
(15-2)×180°
= 13×180°
= 2340°
Therefore, the sum of the interior angle measures is 2340°.
Learn more about the sum of interior angles here:
https://brainly.com/question/28793979.
#SPJ2
subtract f from g, then subtract 4 from the result
Answer:
(g - f) - 4
Step-by-step explanation:
Subtract f from g = g - f
Subtract 4 from the result = (g- f) - 4
A teacher has 396 pieces of candy. If there are 44 students, 6 of whom are boys, if divided evenly, how many pieces of candy will each student get?
Answer:
9 pieces of candy.
Step-by-step explanation:
The information about how many boys there are is irrelevant, so we can just ignore that.
The important information is that the teacher has 396 pieces of candy and that it is split between 44 students equally.
So, to solve, we just do 396 / 44 = 9.
Therefore, each student will get 9 pieces of candy.
Name the solution........
Answer:
No solution
Step-by-step explanation:
here you go mate
step 1
3x+y=-3,3x+y=3 equation/solution
step 2
3x+y=-3 add -3x
y=-3x-3
step 3
3x+y=3 substitute and simplify
0=6
answer
no solution
Solve the system of linear equations by substitution
y-x=0
2x-5y=9
Answer:
the answer is (-3,-3)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
A nonstop flight from Albuquerque, NM to Atlanta, GA takes 3 hours. If the plane flies a total of 1,269 miles, what is the plane’s unit rate in miles per hour?
A. 3,807 mph
B. 1,266 mph
C. 432 mph
D. 423 mph
Answer:
423 mph
Step-by-step explanation:
To find the answer, you have to divide 1,269 by 3 since we want to find how many miles the plane travels in one hour. Doing this, we end up with 423 which is the answer.
Step-by-step explanation:
A nonstop flight from Albuquerque, NM to Atlanta, GA takes 3 hours. If the plane flies a total of 1,269 miles, what is the plane’s unit rate in miles per hour?
1,269 % 3 = 423
ITS RIGHTTommy's auto mall needs to transport 108 cars. A moving truck can fit 7 cars on each bed. How many trucks does tommy need to relocate all his car? (Do it in long division)
Answer: 15 remainder 3.
Step-by-step explanation:
Can u help me please
I'll help
The sum of the prices for the items(That's 2large baskets and small gift baskets) for the first customer is $57. So assuming the price of a large basket is x and small basket is y, then an expression for the first sentence is;
2x + 5y= 57
The sum of the prices for the second customer is $6 less than the first customer ( that's 57-6 which is $51). Since he bought 1 large basket and 10 small baskets and the price of each large basket is the same and the price of each small basket is the same they assume the same variable of x and y. So the expression of the second sentence is;
x+10y=51.
So the expressions will be;
2x+5y=57
x+10y=51
That's Option C
find the value of x pls and thank you
Answer:
16
Step-by-step explanation:
according to the question
5x-7=8x-55
8x-5x=-7+55
3x=48
x=48/3
x=16
(-3x - 2 + 4x³) + (3x - 6x²-6)
can any1 solve this? its Polynomials.
Answer:
4x³ - 6x² - 8
General Formulas and Concepts:
Algebra I
Terms/Coefficients/DegreesStep-by-step explanation:
Step 1: Define
(-3x - 2 + 4x³) + (3x - 6x² - 6)
Step 2: Simplify
Combine like terms (x): 4x³ - 6x² - 2 - 6Combine like terms (Z): 4x³ - 6x² - 8Please help me 123 or 4........
Answer:
It's 2
Step-by-step explanation:
Hope this helps
I have a math question
Answer:
D. RS = DQ
Step-by-step explanation:
SSS = Side-side-side congruence criteria!
One is given, other is common, and we have RS=DQ
Answer/Step-by-step explanation:
According to the Side Side Side rule (SSS) Side RQ is congruent to side DS.
RQ ≅ DS.
This means that in order to complete the chart:
RS ≅ DQ
Sarah has a loyalty card good for a 20% discount at her local grocery store. What would her total in dollars and cents be, after the discount and before tax, if the total cost of all the items she wants to buy is $39.25?
Choose the correct scientific notation of this number.
There are 5,280 feet in one mile.
Answer:
It's C
Step-by-step explanation:
There were 45 runners to start a race. In the first half of the race 2/3 of them dropped out. In the second half 2/5 of the remaining runners dropped out. How many runners finished the race?
Answer:
18 racers finished.
Step-by-step explanation:
In the first half, 30 racers dropped out, because 2/3 of 45 is 30. In the 2nd half, 12 racers dropped out, because that is 2/5 of 30. So, in the end, 18 racers finished. (I might have done this wrong i did my best)
On a coordinate plane, a line goes through points (negative 4, 0) and (0, 2).
What Is the slope of the line on the graph?
Answer:
the slope is 1/2
Step-by-step explanation:
find the change in y over the change in x
2-0/0+4
you get 2/4 then simply that to 1/2
Answer:
0.5
Step-by-step explanation:
on edg
solving systems of linear inequalities
Answer:
YES. (2, 7) is a solution of the system.
Step-by-step explanation:
System of linear inequalities has been given as,
y ≥ -x + 1 --------(1)
y < 4x + 2 ------(2)
If (2, 7) is a solution of the given system of inequalities, it will satisfy both the inequalities.
By substituting the coordinates of point (2, 7) in inequality (1),
7 ≥ -2 + 1
7 ≥ -1
True.
By substituting the coordinates of point (2, 7) in inequality (2),
7 < 4(2) + 1
7 < 9
True.
Therefore, point (2, 7) lie in the solution area of system of inequalities.
YES. (2, 7) is a solution of the system.
Item 2 What is the value of the function at x=−2? y=−4 y = 0 y = 2 y = 3
Answer fast please!!!
Answer:
ok
Step-by-step explanation:
1. 5(2x + 1) = 35
I need help what’s the answer showed work
Answer:
x=3
Step-by-step explanation:
5(2x+1)=35
Step 1: Simplify both sides of the equation.
5(2x+1)=35
(5)(2x)+(5)(1)=35(Distribute)
10x+5=35
Step 2: Subtract 5 from both sides.
10x+5−5=35−5
10x=30
Step 3: Divide both sides by 10.
x=3
Help In math pls this a slope problem
Answer:
D
Step-by-step explanation:
The system shown is blank.
a.) inconsistent
b.) equivalent
c.) consistent
Answer:
I think it's consistent
Step-by-step explanation:
Write an equation of a line in slope-intercept form with the given slope and y-intercept. slope: 2/3, y-intercept: −5
A suitcase measures 21 inches by 16 inches. What is the length of the diagonal of the suitcase to the nearest tenth of an inch?
Answer:
Step-by-step explanation:
we have a rectangle that measure 21 inches by 16 inches
to find the rectangle(which is the hypotenuse) we will use Pythagorean theorem
c^=a^2+b^2
c^=21^2+16^2=697
c=[tex]\sqrt697}[/tex] =26.40 which rounded to the nearest tenth =26
. Evaluate 8^0 helppp please
Answer:
1
Step-by-step explanation:
[tex] {8}^{0} = 1 \\ [/tex]
Any number raised to zero is always equal to one.
Work out the area of a rectangle with base,
b
= 15mm and height,
h
= 12mm
Answer:
15x12=180mm
Step-by-step explanation:
A rectangle has a perimeter of 30cm the width of the rectangle is n cm the length of the rectangle is n+6cm
What’s the value of n
Step-by-step explanation:
p=2(l+w)
30cm=2(n+6+n)
30cm\2=2n+6
15cm-6=2n
9cm=2n
n=4.5cm or w=4.5cm
l=w+6
l=4.5cm+6
l=10.5cm
Question Below please help
38=p−15
PLEASE HELP MEHHHHH
Answer:
p=23
Step-by-step explanation:
Answer:
P=23
Step-by-step explanation:
38-15=23
p=23
Hope this helps
Have a great day!
Mike recorded the number of hours he slept each night for a period of 5 days as shown in the table below.
Based on the information in the table, what was the total number of hours that Mike slept from Monday through Friday?
Step-by-step explanation:
8+9= 17
7 3/4 + 7 1/4= 15
15 + 5 1/2= 20 1/2
17 + 20 1/2 = 37 1/2
Car A has an initial value of 30,000 and depreciates at a rate of 20% per year. Car B has an initial value of 20,000 and depreciates at a rate of 15% per year.Car B will become greater than the value of car A during the ninth,seventh,third, or fifth year
Answer:
The value of Car B will become greater than the value of car A during the fifth year.
Step-by-step explanation:
Note: See the attached excel file for calculation of beginning and ending values of Cars A and B.
In the attached excel file, the following are used:
Annual Depreciation expense of Car A = Initial value of Car A * Depreciates rate of Car A = 30,000 * 20% = 6,000
Annual Depreciation expense of Car B from Year 1 to Year 6 = Initial value of Car B * Depreciates rate of Car B = 20,000 * 15% = 3,000
Annual Depreciation expense of Car B in Year 7 = Beginning value of Car B in Year 7 = 2,000
Conclusion
Since the 8,000 Beginning value of Car B in Year 5 is greater than the 6,000 Beginning value of Car A in Year 5, it therefore implies that the value Car B becomes greater than the value of car A during the fifth year.
It’s the 7th year
Plato