what is the sum of the interior angles of a heptagon ?
Let n be rhe number of vertices in the polygon, then the sum of all interior angle is (n - 2) × 180°.
Number of sides in a heptagon = 7
So, n = 7
So,
the sum of the interior angles of a heptagon
= (7 - 2) × 180°
= 5 × 180°
= 900°
Answer:
900
Step-by-step explanation:
HELP PLEASE :) * giving brainliest*
Solve the system of equation. Write the solution as a coordinate point
Answer:
(2,16)
Step-by-step explanation:
y=-x+18
y=8x
8x=-x+18
8x+x=9x
-x+x=0
9x=18
9x/9=x
18/9=2
x=2
y=8(2)
y=16
Answer:
(2,16)
Step-by-step explanation:
Step 1: Substitute -x+18 for y in y=8x:
-x+18=8x Add X to both sides
9x=18 Divide 9 by both sides
x=2
y=8(2)Plug in the new value for x(which is 2) into one of the equations
y=16
(2,16)
Hope this helped, good luck!
What is the correct factorization of:
x? - 11x + 18
9514 1404 393
Answer:
x² -11x +18 = (x -9)(x -2)
Step-by-step explanation:
The x-coefficient is the sum of the constants in the binomial factors; the constant term is their product. It usually works well to look for factors of the constant that have the right sum. Here, both must be negative.
18 = (-1)(-18) = (-2)(-9) = (-3)(-6)
The factors -2 and -9 have a sum of -11, so those are the binomial constants of interest. The factorization is ...
x² -11x +18 = (x -9)(x -2)
What is 60% of 30? A. 24 B. 12 C. 21 D. 18
Answer:
18
Step-by-step explanation:
60% 0f 30 is 18
D. 18
Help pls..............!!!!!!!!!!!
Answer:
you add it all up and lever the sides
Step-by-step explanation:
(6x - 4y = 11
6x + 14y= -12
How can you represent the system of equations with a matrix
If x=4 y=-3 and z =5 find the value of 5y +2x-z
Answer:-12
Step-by-step explanation:
So if the equation is 5y+2x-z and the substitutions are x=4 y=-3 z=5 , all you have to do is replace each variable with its given numbers. Like so
5(-3)+2(4)-5
Now what you have to do is simplify
Negative times a positive is a negative
Negative times a negative is a positive
Positive times a positive is a positive
So....
-15+8-5
-20+8
-12
This is a simple substitution problem. Remember the basics of negatives and positives! Than you will be just fine! :D
What is the slope of the line that passes through the points (-5, 0) and (7, 8) ? Write your answer in simplest form
Answer
two-thirds
Step-by-step explanation:
8 over 1 2simplified is 2 over 3
PLEASE HELP ME ASAP THIS IS DUE IN LESS THEN A HOUR PLEASE
Figure D is in Quadrant II. It is reflected across the x-axis. Then figure D' is rotated 90° counterclockwise around the origin to form figure D". Then figure D" is translated 4 units to the left to form figure D'". Decide if each statement about the figures is true or false. Choose True or False for each statement. *
4 points
true False
Figure D'' is in Quadrant II
Figure D' is in Quadrant III
The x coordinates for vertices D''' are all negative
The y coordinates for vertices D'' are all positive
Figure D'' is in Quadrant II
Figure D' is in Quadrant III
The x coordinates for vertices D''' are all negative
The y coordinates for vertices D'' are all positive
This question requires one
Answer:
4
Step-by-step explanation:
because im smart
Need help! only have today till I turn in!
Answer:
yes
Step-by-step explanation:
what is the answer to this? −1.2b−5.3≥1.9
Answer:
b≤−6
here u go
Answer:
b ≤ -6 ✅Step-by-step explanation:
To solve an inequality, we will solve just like a normal equation. The goal is to isolate b, so we can determine the set of values it can take on.
Step 1: Add 5.3We need to reverse the operation - 5.3, so we add 5.3.
-1.2b - 5.3 + 5.3 ≥ 1.9 + 5.3
-1.2b ≥ 7.2
Step 2: Divide by -1.2We need to reverse the multiplication that is multiplying b by -1.2, so we will divide. However, we must remember an important rule first.
Important: When we divide by a negative number in an inequality, we must reverse the inequality sign, so ≥ becomes ≤.
-1.2b / -1.2 ≥ 7.2 / -1.2
b ≤ -6 (remember to reverse the sign!)
Step 3: CheckWe now substitute our answer in and see if it is correct. We will use a number that is smaller than -6, for example, -8.
-1.2(-8) - 5.3 ≥ 1.9
9.6 - 5.3 ≥ 1.9
4.3 ≥ 1.9 ✅
We can check again with -6, since this and all numbers smaller than it should be a solution set.
-1.2(-6) - 5.3 ≥ 1.9
7.2 - 5.3 ≥ 1.9
1.9 ≥ 1.9 ✅
b ≤ -6 ✅What is the area of this polygon on a coordinate plane?
20 square units
9 square units
3 square units
14 square units
Answer:
i need a picture or something to solve this so...
Step-by-step explanation:
The ratio of green to red jelly beans in a jar is 4 to 6. If there are 28 green jelly beans, how many total green and red jelly beans would be in the jar?
4 x 7 = 28
6 x 7 = 42
42 is the answer UvU
Answer:
76 jelly beans total
Step-by-step explanation
4 x 8 = 28
6 x 8 = 48
28 + 48 = 76
Graph 8x−4y=16. From Big Ideas Math
Solve for y.
8x−4y=16
-4y = -8x + 16
y = (-8x + 16)/-4
y = (-8x)/-4 + (16/-4)
y = 2x - 4
We only need two points to graph linear equations.
Now let x be 0 and solve for y.
y = 2(0) - 4
y = -4
This leads to the point (0, -4).
We need another point.
Let y = 0 and solve for x.
0 = 2x - 4
4 = 2x
4/2 = x
2 = x
This leads to the point (2,0).
Plot these two points on the xy-plane and connect the points with a straight line.
I'll let you do that.
Understand?
What is the slope-intercept form of the equation of the line that passes through the point (-6,1), and is perpendicular to the graph of 2x + 3y = -5
Answer:
Y= -3/2x-8
Step-by-step explanation:
Henry is making a corn grits recipe that calls for 14 cup of corn grits for every 12 cup of water.
How much water will he need if he uses 1 1/2 cups of corn grits?
Answer:
Im not sure right now ill answer back when i know
Step-by-step explanation:
Answer:
3/2 cups
pls give brainliest
What method can be used to prove the triangles below are congruent
Answer:
SSS?Step-by-step explanation:
I don't know why the answers don't offer this an option. However, the side that shares both triangles must be congruent to itself and the other highlighted congruent parts are sides, not angles. Therefore by my calculations, the answer has to be SSS, but this isn't a choice.
Please let me know if you need more help :)Samir took a total of 21 quizzes over the course of 3 weeks. After attending 6 weeks of school this quarter, how many quizzes will Samir have taken in total? Solve using unit rates.
Find the discriminant of 3x2 - 10x=-2.
Answer:
x= 4/5 or 0.8
Step-by-step explanation:
Answer: im going with the person on top so i dont have to do anything
Step-by-step explanation:
may someone please tell me the answer
What is the greatest common factor of 60,70, and 80
Answer:
10
Step-by-step explanation:
Answer: The GCF of 60, 70, and 80 is 10.
Step-by-step explanation: If you think about it, the GCF is definitaly going to be 10. That is because you can multiply 10 to get 60, 70, and 80. There is no other number higher than 10 that can be multiplied by something to get all of these values.
What decimal is equivalent to 5/6?
Look at the picture.
Answer:
The answer is B
Step-by-step explanation:
Answer:
B. 8.3 with the bar on the 3
Step-by-step explanation:
B because the decimal of 5/6 is 8.3333333 and so on to represent the repeating and endless 3 put a bar on the 3.
how to find common denominator
Answer:
To make the denominators the same Multiply top and bottom of each fraction by the denominator of the other.
Step-by-step explanation:
3
What are the zeros or x-intercepts of the parabola?
A) (0, -1) and (0,5)
B (2,0) and (-9,0)
C (-1,0) and (5,0)
D (0,-5) and (-5,0)
Answer:
C
Step-by-step explanation:
x-intercepts , when y=0 are
(-1,0) and (5,0)
Answer:
C
Step-by-step explanation:
The zeros are also known as x-intercepts so it is the points on the x axis.
For x-intercepts the y is 0 so it is (-1,0) and (5,0)
hope this helped :)
A scientists finds the bones of a dinosaur. What could help the scientists determine the approximate age of the dinosaur bones?
A. The weather conditions in the area of the bones.
B The index fossils in the area of the bones.
C The birds living in the area of the bones
D The kinds of trees living in the area of the bones.
Gibe brnliestttn ugly lol :V
Answer: B, the index fossils in the area of the bones.
(I do need 1 more brainliest to rank up, so if my answer is correct, that would be great, sorry if I sound rude.)
There are 12 applicants for financial aid. The Scholarship allows four students to receive the money. How many different ways can these scholarships be awarded? The first scholarship is $1000, the second is $750, the third is $500, and the last is $250. Only place a numeric value as an answer.
Answer:
495 ways
Step-by-step explanation:
Given that:
Total number of applicants (n) = 12
Required number (r) = 4
Using the combination formula :
nCr = n! / (n-r)!r!
12C4 = 12! / (12 - 4)!4!
12C4 = 12! / 8!4!
12C4 = (12*11*10*9) / 4*3*2*1
12C4 = 11880 / 24
= 495 ways
You are a landscaper, and you are designing a fence to enclose part of a yard. The section to be enclosed is rectangular and has a width of 21 feet and a length of 38 feet. What length of fence, in feet, will you need to enclose this part of the yard? 59 60 118 120 798
Answer:
If you draw this out, you can see that total fence equation will be:
2L + 4W = 1200
Simplify, divide by 2
L + 2W = 600
L = (600-2W)
:
Area;
A = L*W
Substitute (600-2W) for L:
A = (600-2W)*W
A = -2W^2 + 600W; a quadratic equation
:
The dimension that will produce the greatest area will be the "axis of symmetry
which is: x = %28-b%29%2F%282a%29
:
In this equation a=-2, b=600
W = %28-600%29%2F%282%2A-2%29
W = %28-600%29%2F%28-4%29
W = +150 ft is the width
:
Find the length
L = 600 - 2(150)
L = 300 ft is the length
:
We can say the a field 300 by 150 gives he greatest area
:
This illustrated on a graph where y axis is the area and x axis is the width:
Step-by-step explanation:
Answer:
798
Step-by-step explanation:
21x38=798
PLEASE HELP SHOULD BE EASY!!!!!
Answer:
it's A
Step-by-step explanation:
hope this helps u with whatever you are doing!
Answer:
1.
Step-by-step explanation:
I just know.
In ΔDEF, d = 9.8 cm, e = 9.2 cm and f=4.7 cm. Find the measure of ∠E to the nearest degree.
Answer: 69
Step-by-step explanation: Trust
5. What three consecutive integers have a sum of 21?