(8,1), (-2,-5) midepoint
Answer:
(3, -2)
Step-by-step explanation:
The x-coordinate of the midpoint of the line segment connecting (8, 1) and (-2, -5) is -2 plus half the horizontal distance from -2 to 8, which is 10, or 5. We add 5 to -2, obtaining 3 units.
The y-coordinate of the midpoint is found similarly. The vertical distance between the two given points is 1 - (-5), or 6 units. Half of that is 3 units. Adding 3 units to -5 yields -2.
The midpoint is (3, -2).
Thus, the coordinates of the midpoint at (-7, 6)
PLEASE HELP!!!!! WORTH 50 POINTS! PLEASE ANSWER ALL QUESTIONS (6,7,8,9)
Answer:
6. Additional information is required on the two triangles
7. The pair of triangles are similar by SAS similarity postulate
8. Yes, by triangle proportionality theorem
9. DE = 9
Step-by-step explanation:
When two or more triangles are similar, the ratio of the corresponding sides of both triangles is constant
6. From the given figure, more information is required on the two triangles
However, whereby the side with length 10 is parallel to the corresponding side on the other triangle, then the alternate angles formed by the transversal to the two parallel lines are equal and the two triangles are similar by Angle Angle, AA, similarity postulate
7. From the given triangles, the ratio of the corresponding sides relative to the given included angles are;
18/45 and 10/25
18/45 = 2/5
10/25 = 2/5
Therefore, given that two pair of corresponding sides have the same included angle and that the two included corresponding sides of the of the two triangles are proportional, then the two triangles are similar by the Side Angle Side SAS similarity postulate
8. By triangle proportionality theorem, we have;
If [tex]\overline{MN}[/tex] ║ [tex]\overline{KL}[/tex], then we have;
3/6 = 4/8 = 2
∴ [tex]\overline{MN}[/tex] ║ [tex]\overline{KL}[/tex]
9. By triangle proportionality theorem, where [tex]\overline{BE}[/tex] ║ [tex]\overline{CD}[/tex], we have;
12/20 = DE/15
∴ DE = 15 × 12/20 = 9
DE = 9
Second part of my last question please help me!
Answer:
AC = 28
Step-by-step explanation:
ΔADB ≈ ΔDBC
DC / BC = AD / 15
16 / 20 = AD / 15
cross-multiply:
20AD = 240
AD = 12
AD + DC = AC
12 + 16 = AC
28 = AC
The amount of money earned by Alejandro varies directly to the number of hours
worked. Alejandro worked for 12 hours and earned $150. How much money did he
earn if he worked 38 hours?
$474
$475
$150
$100
Answer:
474
Step-by-step explanation:
38/12= 3.16
3.16x150=474
Find the median of the data. 12,33,18,28,29,12,17,4,2
Step-by-step explanation:
Answer:17
Step-by-step explanation: you’re welcome
I need help on this lol
Answer:
-62
Step-by-step explanation:
180-w+49(angles on a straight line=180)
angles on a triangle=180
Hence,
180-w+49+w+17+w-4=180
collect the like terms
180+49+17-4+w+w-w=180
242+w=180
Take 180 to the other side and also w
242-180=-w
62=-w same as w=-62
Anyone know how to do this?
Answer:
??
Step-by-step explanation:
What is the distance between the points (-5, 9) and (4, 9) on the coordinate plane? 9 9 1 1 10 10 90
Answer:
9 units
Step-by-step explanation:
Given: Two points on a coordinate plane are [tex](-5,9),\,(4,9)[/tex]
To find: distance between points [tex](-5,9),\,(4,9)[/tex]
Solution:
According to the distance formula,
Distance between points [tex](a,b)[/tex] and [tex](c,d)[/tex] is equal to [tex]\sqrt{(c-a)^2+(d-b)^2}[/tex]
Take [tex](a,b)=(-5,9),\,(c,d)=(4,9)[/tex]
Therefore,
Distance between points [tex](-5,9),\,(4,9)[/tex] [tex]=\sqrt{(4+5)^2+(9-9)^2}[/tex]
[tex]=\sqrt{(9)^2}[/tex]
[tex]=9[/tex] units
BRAINLIEST
a. sqrt of 24
b. sqrt of 33
b. 5.5
c. sqrt of 11
Answer:
Step-by-step explanation:
A construction company ordered 45 wood beams for a new project. Each beam
was 22.5 ft long. What was the total length of all of the beams put together?
Write your answer in yards.
john aims to pay a certain amount of money each month into a pension fund . He plans to pay 100$ in the first month , and then increase the amount paid by 5$ each month
a ) how much he will pay in the final month
b) how much will he pay altogether over the whole periode
-3(7x-5)
Please I need an answer ASAP
Answer:
-21x + 15!
Step-by-step explanation:
Multiply using the distributive property. Hope this helps!
-Lei
If the diameter of a penny is 19.05 mm on each penny is 1.52 mm thick, what is the approximate volume of the roll of the roll of pennies? Use 3.14 for pie and round your answer to the nearest tenth.
Answer:433.0mm3
Step-by-step explana
5 more than the product of x and 2
Answer:
2x+5
Step-by-step explanation:
Answer:
5(2x) => 10x
Step-by-step explanation:
Find the Are of the Shaded Region
Answer:
≈ 84.8 cm²
Step-by-step explanation:
The area of the shaded region is calculated as
area of circle - area of unshaded sector
area of circle = πr² = π × 6² = 36π
unshaded area = area of circle × fraction of circle
= 36π × [tex]\frac{90}{360}[/tex] = 36π × [tex]\frac{1}{4}[/tex] = 9π
area of shaded region = 36π - 9π = 27π ≈ 84.8 cm² ( nearest tenth )
hello please help thanks
Answer: 2 one
Step-by-step explanation:
Answer:
last one
Step-by-step explanation:
Sinkholes are cavities in the ground that form when water erodes an underlying rock layer.
This oblique cylinder has a volume of 90\pi\text{ m}^390π m
3
90, pi, start text, space, m, end text, cubed and a base area of 12\pi\text{ m}^212π m
2
12, pi, start text, space, m, end text, squared.
whats the height?
Answer:
7.5
Step-by-step explanation:
The height of the cylinder is equal to 7.5 meters.
Given that,
An oblique cylinder has a volume of 90π m ^3 and a base area of 12π m^2.
A cylinder is defined as it is geometric shape when a rectangle sheet fold into a circular shape the figure arises looks same as the tube structure.
What is volume?Volume, is defined as the ratio of the mass of object to its density.
The volume of the oblique cylinder = height * base area
90π = 12π * height
height = 7.5 m
Hence, the height of the cylinder is equal to 7.5 meters.
Learn more about Cylinder here:
brainly.com/question/3216899
#SPJ2
The question seems to be incomplete or improperly written,
So Correct Question could be given as,
This oblique cylinder has a volume of 90π m ^3 and a base area of 12π m^2.
what is the height of the cylinder?
Complete the proof.
Given:
AB∙BP=CB∙BM
Prove: ∆CBA~∆PBM
Answer:
Step-by-step explanation:
5. Give in the question.
6. AB/CB = BM/BP (Not sure about the rule, you can find it on textbook I guess)
7. CBA = PBM
8. Conclusion
3(x-5)=9 i don't know what to do
Answer:
x=8
Step-by-step explanation:
3(x-5)=9
3x-15=9
3x-15+15=9+15
3x=24
x=8
Answer:
x=8
Step-by-step explanation:
3(x-5) = 9
(3(x-5))/3 = 9/3
x-5 = 3
x-5+5 = 3+5
x=8
The population of town is 32600. about 27% are over 60 years old. About 19% are 16 or under. How many are between 16 and 60?
Answer:
Number of population between 16 and 60 =17,604
Step-by-step explanation:
population of town = 32600
Percentage of people over 60 years old=27%
Percentage of people 16 or under =19%
Percentage of people between 16 and 60= 100%-(27% +19%)
100-(46) =54%
Number of population between 16 and 60 =Percentage of people between 16 and 60 x population of town
=54% x 32600
=17,604
Find the mean of the following numbers.
14, 17, 21, 28, 40
does anyone know how to do this
Answer:
hello
bring the side of the first part of the triangle then you can to bring the (x) of the second traingle
Help me with this pleaseeee
Answer:
A, B, C.
Step-by-step explanation:
******WORTH 85 POINTS******WILL MARK BRAINLIEST*****PLEASE ANSWER ALL QUESTIONS****
A catering company is setting up tables for a big event that will host 360 people. When they set up the tables they need 2 forks for each
child and 5 forks for each adult. The company ordered a total of 1470 forks. Set up a system of equations involving the number of adults,
a, and the number of children, c, and solve to find out how many of each attended the event.
A) Create an equation to represent the breakdown of people attending this event (children and adults).
B) Create an equation to model the number of forks used at this event.
C) Solve the system you created and write down the number of Children and Adults that attended.
180 c
70 a
360 divided by 2 = 180 c
360 divided by 5 = 70 a
Find the binomial that completes the factorization.
s^3–1=( ) (s^2+s+1). Help ASAP
Answer:
(s - 1)(s² + s + 1)
Step-by-step explanation:
s³ - 1 ← is a difference of cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , then
s³ - 1
= s³ - 1³
= (s - 1)(s² + s + 1)
The required factorized form of the given expression is (s - 1)(s² + s + 1).
What is the Factorization?Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).
We have been given that the expression below as
s³ - 1
We have to determine the factor of the given expression
As per the question, we have
s³ - 1
This is a difference between cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , then
⇒ s³ - 1 = s³ - 1³
⇒ (s - 1)(s² + s + 1)
Thus, the required factorized form is (s - 1)(s² + s + 1).
Learn more about the Factorization here:
brainly.com/question/4184435
#SPJ2
the square below has sides that are 3 1/2 inches long. what is the perimeter of the square? write an addition equation to solve.
helppp meeeeeeeeeeeeeeee
Answer:
Area=1/2 b×h
A1=1/2×8×14
=56m²
A2=1/2 ×16×14
=112m²
therefore total area
=56+112
168m²
how do i Add 5/8 = 3/7
Answer:
Add 11/56
Step-by-step explanation:
3/7 = 24/56 (×8)
5/8 = 35/56 (×7)
35/56 - 24/56 = 11/56
someone pls just comment something
Answer:
Eleventeen
Step-by-step explanation:
Answer:
THIRTEEN
Step-by-step explanation:
solve for x
3x - (8-x) = 47