Answer:
16) B: S = (n - 2)180
17) A: (n - 2)180/n
18) A: 60°
19) ∠e = 50°
20) D: 12°, 133°, 35°
21) D: 37°
Step-by-step explanation:
16) Generally, formula for finding sum of angles of a convex polygon with n-sides is; S = (n - 2)180
17) the measure of a regular polygon with n sides is; sum of interior angle/number of sides = (n - 2)180/n
18) sum of interior angles is 720.
In the diagram, there are 6 sides of the polygon.
Thus, each interior angle = 720/6 = 120°
Now, sum of angle on a straight line = 180°
Thus;
120 + ∠c = 180
∠c = 180 - 120
∠c = 60°
19) sum of interior angles is 910.
In the diagram, there are 7 sides of the polygon.
Thus, each interior angle = 910/7 = 130°
Now, sum of angles on a straight line = 180°
Thus;
130 + ∠e = 180
∠e = 180 - 130
∠e = 50°
20) sum of angles in a triangle is 180°
Thus, the set that will be correct is the one that has its sum equal to 180°. The only set that falls into this category is;
12°, 133°, 35°
22) Sum of interior angles in a quadrilateral is 360°.
Thus;
3x + 2x + 1 + x + 2 + 4x - 13 = 360
10x - 10 = 360
10x = 360 + 10
x = 370/10
x = 37
Find the common difference of the arithmetic sequence -6, -13, -20,...
Answer:
-7
Step-by-step explanation:
arithmetic sequences are consistant sequences by adding or subtracting a constant term, in this case to get from -6 to -13, you subtract 7. And to get from -13 to -20 you subtract 7 again. The next number in the sequence would be -27 as -20-7= -27
Hope this helps!
The common difference of the arithmetic sequence -6, -13, -20 is -7.
To find the common difference of an arithmetic sequence, we subtract any term from the term that follows it.
In the given sequence -6, -13, -20, the common difference can be found by subtracting each term from the term that follows it as:
-13 - (-6) = -13 + 6 = -7
-20 - (-13) = -20 + 13 = -7
From the calculations above, we can see that the common difference of the arithmetic sequence -6, -13, -20 is -7.
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A 5-pack of granola bars costs $3.55. What is the unit price?
Answer:
0.71 is the unit price
Step-by-step explanation:
all u gotta do is divide 3.55 by 5 to find out how much it cost each:)))
hope this helps!!!!
please mark brainiest<3
3.
After $x of discount, Emma paid $159 for her new sewing machine. Write the
expression for the original price of the sewing machine.
Answer:
$(159+x)
Step-by-step explanation:
Given
Discount price = $x
Amount Emma paid after discount = $159
Original price = Amount paid + Discount
Original price= $159 + $x
Hence the required expression is $(159+x)
Write an algebraic expression for the verbal expression. the product of 13 and x
Answer:
13x
Step-by-step explanation:
The product of 13 and x would be 13*x or just simply 13x.
Can someone please help me? i’m struggling please help
Answer:
they are NOT similar!
Step-by-step explanation:
the angles are not conguent or they are not the same in words
the don't add up with the same sum of angles,
so your explanation would be:
45 plus 29 has a sum of 74 for the right triangle and the left triangle has angles 106 degrees plus 29 degrees with a sum of 135 degrees, there-fore the triangles aren't similar because the angles are not equal to each other
9514 1404 393
Answer:
∆AFN ~ ∆SHE . . . . AA~
Step-by-step explanation:
The third angle in triangle HSE is ...
180° -45° -29° = 106°
This means two angles in ∆SHE match two angles in ∆AFN. (106° and 29°) The triangles are similar by AA~.
Listing vertices in order of smallest-to-largest angles, the similarity statement is ...
∆AFN ~ ∆SHE . . . . AA~
can u help me with this question?
can you answer this please
Answer:
C
Step-by-step explanation:
y=mx+b where m =slope and b= y intercept
m=y-y/x-x or 3-1/1-0 or 2
B is where the line crosses the x axis or 1
So y=2x+1
Identify the percent of decrease from 140 to 105
Answer:
25% decrease
Step-by-step explanation:
The circumference of a circle is 11x inches.
What is the area, in square inches, of the circle? Express your answer in terms of x
Show your work.
Answer:
40.6944 is your answer
Step-by-step explanation:
3.6×3.14=11: 3.6×3.6=40.6944 /41
PLEASE ANSWER ASAP!!!
Answer:
A
Step-by-step explanation:
Please help me find the answers
For the mean median mode range mm max q1
Everything has been explained in there
What coefficient of d makes the
expressions equivalent?
–1/3}(2.7d + 1.8) =(?-0.6)
Answer:
The coefficient of d that will make equation equal is -0.9
Step-by-step explanation:
Given
Left hand side equation = {–1/3}(2.7d + 1.8)
Simplifying LHS we get -
-0.9 d -0.6
Hence, the coefficient of d that will make equation equal is -0.9
Solve 5x2 = 180 algebraically.
Answer:
x = ±6
Step-by-step explanation:
5x^2 = 180
Divide each side by 5
5x^2/ 5 = 180/5
x^2 = 36
Take the square root of each side
sqrt(x^2) = ± sqrt(36)
x = ±6
Answer: x = 6 or x = -6
Step-by-step explanation: First, isolate the x squared by dividing both sides by 5 to get x² = 36. Now, since x is squared, we simply take the square root of both sides of the equation to get x by itself.
When we take the square root of both sides of an equation,
we must always make sure to use plus or minus!
So x = ±5 and you can write your answer as the solution set {6, -6}.
A company redesigned its website. It wants to collect data to see if it is user friendly. Which would be the best way to collect the data?
Answer:
Sample survey.
Step-by-step explanation:
In this scenario, a company redesigned its website and wishes to collect data so as to see if the website is user friendly. Thus, the best way to collect the data is through a sample survey from some members of the total website users.
A sample survey is a statistical method used for the collection of data from a target population in order to draw an inference and reach a logical conclusion.
In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.
There are various types of sampling used by researchers and these are;
1. Random sampling.
2. Systematic sampling.
3. Stratified sampling.
4. Cluster sampling.
Answer:
sample survey
Step-by-step explanation:
edgen
A jazz concert brought in $167,000 on the sale of 8,200 tickets. If the tickets sold for $15 and $25 each, how many of each type of ticket were sold?
Answer:
x=3800, y=4400
Step-by-step explanation:
X+y=8200 equation 1
15x+25y=167000 equation 2
x=8200-y isolate x in equation 1
15(8200-y)+25y=167000 substitute value of x from equation 1 into equation 2
123000-15y+25y=167000
10y=44000
y=4400
solve for x by inserting y value into either equation.
x+y=8200
x+4400=8200
x=3800
Check answer:
15x+25y=167000
15(3800)+25(4400)=167000
57000+110000
167000=167000
Plsss hellppp I give brainliest but earn it
Answer:
3
Step-by-step explanation:
let the no of people who share the meal be x
each member paid $17
total cost of meal=$51
so ur equation is
$17x=$51
x=$51/$17(here $ and $ also gets cancel)
x=3
therefore three menber shared the meal.
Note:when in multiplication when u transfers the number to other side it changes into mltiplication.For example
$17=$51
here $17 is multiplied with x and when we bring $17 to right hand side it divides $51.
Answer:
[tex]17x = 51 \\ \frac{17x}{17} = \frac{51}{17} \\ x = 3[/tex]
Step-by-step explanation:
The error was that the learner subtracted both sides instead of dividing both sides. The student was supposed to divide both sides by 17 to get the answer.
The picture is above I’ll mark as brainliest.
Answer:
width = 7 cm
Step-by-step explanation:
63 / 9 = 7
Therefore, 7 * 9 = 63cm cube
Answer:
7
Step-by-step explanation:
63 ÷ 9 = 7
63 ÷ 7 = 9
9 x 7 = 63
:D
nel walks 8/9 mile to the store. how far has she walked when she covered 3/4 of the distance to the store
simplify fully 36/120
Answer:
3/10
Step-by-step explanation:
Find the value of the following expression using suitable properties of whole numbers
and name the property used.
789 × 175 – 75 × 789
Given:
The expression is:
[tex]789\times 175-75\times 789[/tex]
To find:
The value of the given expression by using the suitable properties of whole numbers.
Solution:
We have,
[tex]789\times 175-75\times 789[/tex]
Using the commutative property of multiplication, we get
[tex]789\times 175-75\times 789=789\times 175-789\times 75[/tex]
Using the distributive property of addition over multiplication, we get
[tex]789\times 175-75\times 789=789\times (175-75)[/tex]
[tex]789\times 175-75\times 789=789\times 100[/tex]
[tex]789\times 175-75\times 789=78900[/tex]
Therefore, the value of the given expression is 78900.
PLEASE HELP. !!!!!!
the 4th option is “A translation 2 units left and 1 unit up
A parking lot in the shape of a parallelogram has a length of
300 meters and a width of 150 meters. A scale drawing of the
Sarking lot has a length of 10 centimeters and a width of 5
centimeters
Answer:
C. 1 centimeter = 30 meters
[tex]10 \: cm = 300 \: m \\ 1 \: cm = ( \frac{1}{10} \times 300) \: m \\ = 30 \: m \\ \\ 5 \: cm = 150 \: m \\ 1 \: cm = 30 \: m[/tex]
i just need help pls
Given:
The table of values.
To find:
The function for the given table.
Solution:
From the given table it is clear that the y-values are same as the corresponding x-values. It means y is directly proportional to x with 1 as a constant of proportionality.
Mathematically, it can be defined as:
[tex]y=1\times x[/tex]
[tex]y=x[/tex]
Substitute [tex]y=f(x)[/tex] in the above equation to find the required function.
[tex]f(x)=x[/tex]
Therefore, the correct option is A.
illustrate the solution of the inequality ( x - 5) ( x + 5)≥ 0. on the number line
Answer: The diagram is shown below
==============================================================
Explanation:
If you graphed y = (x-5)(x+5) on the xy grid, then you'd see a parabola forming. This parabola has x intercepts at -5 and 5. The parabola opens upward.
If x < -5, then (x-5)(x+5) is positive. Let's say x = -6
(x-5)(x+5)
(-6-5)(-6+5)
(-11)(-1)
11
So if x = -6, then y = (x-5)(x+5) becomes 11 which is positive. If you picked any other value less than -5, then (x-5)(x+5) is positive.
Similarly, if x > 5, then (x-5)(x+5) is also positive for similar reasoning. Try x = 6 to see what happens. The actual value itself doesn't matter. All we care about is if the result is positive or negative.
It's only when -5 < x < 5 that (x-5)(x+5) is negative. Consider x = 0 which is between -5 and 5
Plugging x = 0 leads us to
(x-5)(x+5)
(0-5)(0+5)
(-5)(5)
-25
Showing that (x-5)(x+5) is negative on the interval -5 < x < 5
---------------------------------------------
Going back to the original inequality, we want to know when (x-5)(x+5) is positive or 0
We found that (x-5)(x+5) is positive when x < -5 or when x > 5
(x-5)(x+5) is equal to zero when x = -5 or x = 5
So overall, the solution we want is [tex]x \le -5 \ \text{ or } \ x \ge 5[/tex]
To graph this on a number line, we plot closed filled in circles at -5 and 5. Then we shade everything that is not between these two circles (so we shade everything except the interval -5 < x < 5).
The graph is below.
Solve log1/5 (x) = -1
Answer:
-¹/5.
Step-by-step explanation:
hope it helps you mark me as branliest
Answer:
x =5
Step-by-step explanation:
Formulas used
[tex]log_a \ x = b\\\\=>x = a^b\\\\(\frac{1}{a})^{-1} = a[/tex]
Solution :
[tex]log_{\frac{1}{5}} \ x = -1\\\\x = (\frac{1}{5})^{-1}\\\\x = \frac{1}{5^{-1}} = 5[/tex]
20pts plz hurry
What is the theoretical probability of spinning red on the spinner below? Green Red Blue Yellow
Answer:
the last one.
Step-by-step explanation:
Because there is 4 parts and one of them is red
Answer:
1/4
Step-by-step explanation:
All four areas are equal in area / circumference.
When spinning, each colour has equal probability, so 25%, or 1/4.
Mariya is solving the quadratic equation by completing the square.
4x2-20x+3=0
4x2-20x=-3
A(x2-5x)=-3
Mariya is solving the quadratic equation by completing the square.
4x2-20x+3=0
4x2-20x=-3
A(x2-5x)=-3
What is the value of A?
-20
3
4
5
Answer:
4
Step-by-step explanation:
just 4 -_-
4x^2-20x
=4(x^2-5x)
so the value is 4
By solving the quadratic equation, the value of A is 4
Option (3) is correct.
What is a quadratic equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^{2}+bx+c=0[/tex], where a and b are the coefficients, x is the variable, and c is the constant term.
Given quadratic equation
[tex]4x^{2} -20x+3=0[/tex]
⇒ [tex]4x^{2} -20x=-3[/tex]
By taking 4 as common in [tex]4 x^{2}[/tex] and 20x
⇒ [tex]4(x^{2} -5x)=-3[/tex]...................(1)
According to the question by solving the quadratic equation. Mariya got, [tex]A(x^{2} -5x)=-3[/tex] .....................(2)
By comparing equation 1 and 2 we can clearly see that A = 4
Hence, by solving the quadratic equation, the value of A is 4
Option (3) is correct.
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Find the value of x that makes A||B.
1
2
B
4
3
5
L1 = 3x - 160 and 24 = x + 20
x= [?]
Step-by-step explanation:
Measure angle <1=<4 letter f
Then 3x-160=x+20
2x=180
Then x=90
john had 77 apples he gave 20 to alex and 15 to jack how many apples does john have left
Answer:
John has 42 apples left
Step-by-step explanation:
77-20-15=42
Hope this helps
A swimming pool measures 40 ft long by 20 ft wide. The pool is filled to a depth of 5 ft. Find the volume of the water in the pool.
Answer: 4,000 cubic feet
Step-by-step explanation:
Volume=LWH (Length times width times height, nay base times height)
V=40*20*5
V=40*20*5= 4000
Answer: 4,000 cubic ft.