A) f(x) = 15x + 25; f(6) = 115
30 POINTS! ANSWER ASAP PLEASE!!! WILL THANK ACCOUNT AND ALL ANSWERS!!
The coordinates of the vertices of a polygon are (−2,−2), (3,−3), (4,−6), (1,−6), and (−2,−4).
What is the perimeter of the polygon to the nearest tenth of a unit?
15.3 units
16.9 units
17.5 units
17.9 units
Answer:
16.9 units
Step-by-step explanation:
Sometimes the easiest way to work these problems is to get a little help from technology. The GeoGebra program/app can tell you the length of a "polyline", but it takes an extra segment to complete the perimeter. It shows the perimeter to be ...
14.87 + 2 = 16.87 ≈ 16.9 . . . units
_____
The distance formula can be used to find the lengths of individual segments. It tells you ...
d = √((Δx)² +(Δy)²)
where Δx and Δy are the differences between x- and y-coordinates of the segment end points.
If the segments are labeled A, B, C, D, E in order, the distances are ...
AB = √(5²+1²) = √26 ≈ 5.099
BC = √(1²+3²) = √10 ≈ 3.162
CD = Δx = 3
DE = √(3²+2²) = √13 ≈ 3.606
EA = Δy = 2
Then the perimeter is ...
P = AB +BC +CD +DE +EA = 5.099 +3.162 +3 +3.606 +2 = 16.867
P ≈ 16.9
Point M and N are midpoints of AB and DA respectively.
Complete the following table to prove triangle CDN ≅ triangle CBM
For the last reason choose from: SSS, SAS, or ASA.
*image attached below*
|
Statement | Reason
line DC ≅ _____ | The sides of a square are congruent.
line BM ≅ _____ | They are both half the length of a side of the square.
angle _____ ≅ angle B | All the angles of a square are congruent.
triangle CDN ≅ CBM | ____________________________________
|
Answer:
triangle CDN ≅ triangle CBM
Statement | Reason
line DC ≅ __BC___ | The sides of a square are congruent.
line BM ≅ __DN___ | They are both half the length of a side of the square.
angle __D___ ≅ angle B | All the angles of a square are congruent.
triangle CDN ≅ CBM |
by
SAS
Step-by-step explanation:
Which choice correctly expresses the number below in scientific notation 0.0000431
The ages of the members of a family are 46, 48, 21, 12, 15, and 8. what is the mean age?
The mean age of the family members (46, 48, 21, 12, 15, and 8) is calculated by adding all the ages to get a sum of 150, and then dividing by the number of family members, which is 6, resulting in a mean age of 25 years old.
To calculate the mean age of the family members, you add up all of the ages and then divide by the number of family members. The ages given are 46, 48, 21, 12, 15, and 8. Let's find their sum:
Add the ages together: 46 + 48 + 21 + 12 + 15 + 8 = 150.
Count the number of family members, which is 6.
Divide the total sum of ages by the number of family members: 150 \/ 6 = 25.
Therefore, the mean age of the family members is 25 years old.
What values of k makes the equation true?
Mentally estimate the total cost of items that have the following prices 1.85 $ .98 $3.49 $9.78 and $6.18 round off your answer to the nearest half dollar
Final answer:
To estimate the total cost, each item's price is rounded to the nearest half dollar: $1.85 to $2.00, $0.98 to $1.00, $3.49 to $3.50, $9.78 to $10.00, $6.18 to $6.00. Summing the rounded figures, the estimated total is $22.50.
Explanation:
To mentally estimate the total cost of the items, we round each item's price to the nearest half dollar and then add them up.
Item 1: $1.85 rounds to $2.00Item 2: $0.98 rounds to $1.00Item 3: $3.49 rounds to $3.50Item 4: $9.78 rounds to $10.00Item 5: $6.18 rounds to $6.00Adding up the rounded figures gives us: $2.00 + $1.00 + $3.50 + $10.00 + $6.00, which equals $22.50. Thus, the estimated total cost of the items is $22.50, rounded to the nearest half dollar.
1. If 1/2 is added to three times the reciprocal of a number, the result is 1. Find the number.
2. The numerator of the given fraction is 4 less than the denominator. If 5 is added to both numerator and denominator, the resulting fraction is equal to 5/7 . What is the original fraction?
TYYYSMMMM
Solve the equation P=2q+2w for q
Juan has invested $3500 in a stock transaction. He later sold the stock and received $4553.50. What was Juan's return on investment (ROI)?
A.) about 23.1%
B.) about 130%
C.) about 76.9%
D.) about 30.1%
Can anyone help me to understand how to solve coordinate proofs in Geometry?????
The coordinate proof is a proof of a geometric theorem which uses "generalized" points on the Cartesian Plane to make an argument.The method usually involves assigning variables to the coordinates of one or more points, and then using these variables in the midpoint or distance formulas .For example, the following is a coordinate proof of the Triangle Midsegment Theorem , which states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and exactly half the length.Without loss of generality, we can assume that one side of the triangle lies on the xx -axis with one vertex at (0,0)(0,0) and the other vertex at(a,0)(a,0).Let the third vertex have the coordinates (b,c)(b,c) . We can assume without loss of generality that this third vertex lies in the first quadrant. (If it doesn't, you can just reflect the triangle over the xx - and/or yy -axis until it does.)
Example:
To Prove: XY¯¯¯¯¯¯XY¯ is parallel to PR¯¯¯¯¯PR¯ and
XY=12PRXY=12PR
Proof:
Using the midpoint formula , the coordinates of the midpoints XX and YY are
X(0+b2,0+c2)=X(b2,c2)Y(a+b2,0+c2)=Y(a+b2,c2)X(0+b2,0+c2)=X(b2,c2)Y(a+b2,0+c2)=Y(a+b2,c2)
First note that the slope is 00 , since
m=riserun =(c2−c2)(b2−(a+b2)) =0(b2−(a+b2)) =0m=riserun =(c2−c2)(b2−(a+b2)) =0(b2−(a+b2)) =0
So, XY¯¯¯¯¯¯XY¯ is parallel to PR¯¯¯¯¯PR¯ .
Now, compare the lengths of the two segments.
XY=a+b2−b2 =a2PR=a−0 =aXY=a+b2−b2 =a2PR=a−0 =a
So,
XY=12PRXY=12PR
Thanks to google for example
hope this helps
What is slope and how is it determine from a graph?
The homegrown Turkey farm is preparing their Thanksgiving shipment. In one container they can put 8 big turkey boxes or 10 small turkey boxes. They send 96 turkey boxes using more big boxes than small boxes. How many containers did they use?
The correct answer is:
11 containers.
Explanation:
We want 96 boxes total. Each container can hold either 10 small boxes or 8 large boxes. To solve this, we want to subtract multiples of 10 from 96 until we have a number that is divisible by 8. This is because we cannot have a fraction of a container full of either big or small boxes.
96-10(1) = 96 - 10 = 86; this is not divisible by 8.
96-10(2) = 96 - 20 = 76; not divisible by 8.
96-10(3) = 96 - 30 = 66; not divisible by 8.
96-10(4) = 96 - 40 = 56; this is divisible by 8.
This means there are 4 containers of small boxes, for 4(10) = 40 boxes, and 56/8 = 7 containers of large boxes, for 56 boxes. This is a total of 4+7 = 11 boxes for our 40+56 = 96 boxes.
HOW CAN I SOLVE IT u=2x-2 for x
Nathan's rental costs for a 5-day trip are $234 in rental fees, plus 4 percent tax, plus $20 a day car insurance. What total did he pay for the rental?
A. $214.36
B. $343.36
C. $263.36
D. $254
A person standing on top of a 11 11-foot high sand pile wishes to estimate the width of the pile. he visually locates two rocks on the ground below at the base of the sand pile. the rocks are on opposite sides of the sand pile, and he and the two rocks are in the same vertical plane. if the angles of depression from the top of the sand pile to each of the rocks are 28 ∘ 28∘ and 19 ∘ 19∘, how far apart are the rocks rounded to the nearest foot?
The problem involves trigonometry to determine the width of the sandpile. The angles of depression equate to angles of elevation from ground up. Using the tangent function and the provided angles of depression, the distances to the rocks are calculated and added together to get approximately 52 feet as the pile's width.
Explanation:This problem involves the application of trigonometry, specifically the tangent function (tan) in relation to angle of depression. To start with, we need to note that the angle of depression is equivalent to the angle of elevation as observed from the ground upwards. Hence, if the angles of depression are 28° and 19° respectively, it would mean that the angles of elevation at the rocks would be 28° and 19° respectively.
We can use the formula for tangent, which is tan(θ)=Opposite/Adjacent. In this context, 'Opposite' is the height of the pile (11 feet), and 'Adjacent' is the distance from the base of the pile to the rock. We get two equations:
tan(28°)= 11/D1, with D1 being the distance from the rock to the pile on one side;and tan(19°)= 11/D2, with D2 being the distance from the rock to the pile on the other side.We rearrange to find D1 and D2. Finally, the total distance (width of the pile) is simply D1 + D2. Using a calculator, D1 is approximately 21 feet and D2 is approximately 31 feet. Hence, the width of the sandpile is approximately 52 feet when rounded to the nearest foot.
Learn more about Trigonometry here:https://brainly.com/question/11016599
#SPJ3
Sandy had 161 dollars to spend on 9 books. After buying them she had 17 dollars. How much did each book cost
What is the area of the figure. Show your work.
Your Turn: In the diagram, AB = 12, BX = 2.5, and DX = 5. Find CD. Show all work. *
Simplify the following expression?
1/2(22m+30)
99 Points (again..)! Are these Equations Linear Or nonlinear?
72=x3+y
y+1=5(x−9)
7y + 2x = 12
4y = 24
Hi There!
1. Not Linear (Because it has a exponent)
2. Linear (Stated in Point Slope Form)
3. Linear
4. Linear
Hope This Helps :)
A study of several cities shows a positive correlation between the percent of people late to work and the amount of pollution on the roadways. Which statement is most likely true?
A. Pollution makes people late to work.
B. People who tend to be late make more pollution than those who tend to be on time
C.The correlation is due to a third variable: traffic.
D. The correlation is due to a third variable: cost of windshield wiper fluid.
Answer:Its C
Step-by-step explanation:
does a line that bisects an angle of a triangle also bisects the side that is opposite the angle?
Leona spent $22.95 at the mall. She bought a T-shirt and a book. The book $12.25. How much did the T-shirt cost?
A. Write the equation that models the problem.
B. Solve the Equation.
C. Answer the question.
A) Let x = cost of t-shirt:
x= 22.95-12.25
B) x = 22.95 -12.25 = 10.70
C) the t-shirt cost $10.70
What are the key variables that must be weighed against each other when considering an HMO, PPO, fee-for-service, or other plan?
A plane flies x mph. How far can it go in y hours?
Which expression represents this?
A.) x/y miles
B.) xy miles
C.) x + y miles
Find an equation of the line l that contains the points left parenthesis 0 comma 0 right parenthesis(0,0) and left parenthesis 3 comma 2 right parenthesis .
What is X in this situation? I'm thinking that you could get X, via vertical angles, but I'm not too sure.
How many sides of a polygon have if the sum of the measures of its angle is 2880?
n/5 greater than or equal to 11
Answer:
n = 55
Step-by-step explanation:
55/5 = 11!
Greater than or equal to 11 and 55 is greater than, 11.
The answer 55 also works with /5!
Please make sure to take care and have a great day!
The fourth term of an arithmetic sequence is 8. if the common difference is 2, what is the first term
The first term of the given arithmetic sequence is 2.
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.
Given that, the fourth term of an arithmetic sequence is 8 and the common difference is 2.
Here, a₄=a+(4-1)×2
8=a+6
a=2
Therefore, the first term of the sequence is 2.
To learn more about an arithmetic sequence visit:
https://brainly.com/question/10396151.
#SPJ2