ABM=CDM-DMC=BAM alternate interior angles
AMB=CMD verticle angles
triangle AMB=CMD by ASA
A=c CPTC
ABD=BDC, BAC=ACD, ADB=DBC by CPCTC
AM=CM def of a Parallelogram
2.
△
RPQ is an isosceles triangle. C is the midpoint of line RQ- Given
RPC=QPC- construction
PC=PC reflective property
∠
RPC= QPC- SAS
Item 5
During a camping trip, Tony hikes 1312mi in one day. He hikes 214mi each hour.
How many hours does it take Tony to complete his hike?
Divide.
2/3÷4/5
6x + 15 = 9x
Pls help me get the answer for x
Answer:
Step-by-step explanation:
X=5
The perimeter of a rectangular garden is 46 feet. The length of the garden is 5 feet less than three times the width. Find the area of the garden. The area of the garden is square feet.
Answer:
A = 112 square feet
Step-by-step explanation:
The perimeter of a rectangular garden is 46 feet.
P = 2(l+b)
46=2(l+b)
23 = (l+b) ....(1)
Let length is l and breadth is b.
The length of the garden is 5 feet less than three times the width.
l = 3b-5 ...(2)
Put equation (2) in equation (1)
23 = (3b-5+b)
23 = 4b - 5
28 = 4b
b = 7 feet
Pu b = 7 in equation (2)
l = 3(7)-5
l = 16feet
Area of a rectangle is given by :
A = lb
A = 16 × 7
= 112 ft²
So, the area of the garden is 112 square feet.
decrease 99kg by 5/11
Answer:
54
Step-by-step explanation:
First calculate 5/11 of 99
99 / 11 * 5 = 45
Then subtract your answer from 99
99 - 45 = 54
The temperature dropped 3 °F every hour for6 hours. How much did the temperature drop in all?
Answer:
18 degrees
Step-by-step explanation:
it drops 3 degrees every hour for 6 hours, then the equation would be 3 times 6 and that is 18, PLEASE MARK BRAINLIEST
Evaluate k(4) for the function k(x)=18−2x
Answer:
k(4) = 10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
k(x) = 18 - 2x
k(4) is x = 4
Step 2: Evaluate
Substitute in x: k(4) = 18 - 2(4)Multiply: k(4) = 18 - 8Subtract: k(4) = 10Find the slope of the line passing through the points (9,5) and (9,-4).
Answer:
Step-by-step explanation:
Equation in which to find the slope:
(slope) [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1 , y_1) = (9 , -4)\\(x_2 , y_2) = (9 , 5)[/tex]
Plug in the corresponding numbers to the corresponding variables:
[tex]m = \frac{5 - (-4)}{9 - 9}[/tex]
Simplify. First solve the numerator and denominators, then divide:
[tex]m = \frac{5 - (-4)}{ 9 - 9} \\m = \frac{5 + 4}{9 - 9} \\m = \frac{9}{0}[/tex]
Because a fraction cannot be out of 0, your answer will be .
A projectile is thrown upward so that its distance above the ground after t seconds is given by the function h(t) = -16t2 + 704t. After how many seconds does the projectile take to reach its maximum height? Show your work for full credit. (2 points)
H(t) = -16t^2 +704t = -16(t^2 -44t)
Putting in vertex form: -16(t^2 -44t +484) + 704
h(t) = -16(t-22)^2 + 704
It takes 22 seconds to reach the maximum height, which is the vertex of the parabola at (22,704)
please mark me as the BRAINLIEST.....
Answer:
22 secondsStep-by-step explanation:
Given function:
h(t) = -16t² + 704tMaximum value is obtained at vertex. Using vertex formula to find the value of t at maximum height: x = -b/2a of a quadratic formula ax² + bx + c
t = -704/(-16*2) = 22In the accompanying diagram. altitude CD is
drawn to the hypotenuse of right triangle ABC. If
AD = 9 and AB = 13. find CD.
B
1
Someone please help me
Answer: √117
Step-by-step explanation:
Since no diagram present, am assuming hypotenuse AB and right angle C. Let side opp angle B be b, and side opposite angle A be a. Altitude CD is x.
a^2 + b^2 = 22^2 (Pythagorean)
Using Pythag on two smaller triangles,
x^2 + 13^2 = a^2
x^2 + 9^2 = b^2
Substituting in first equation,
x^2 + 13^2 + x^2 + 9^2 = 22^2
x^2 = 117, so x = √117
Diego and Lin are drinking milkshakes. Lin starts with 12 ounces and drinks 1 ounce per second. Diego starts with 20 ounces and drinks 2 ounces per second.
Question 1 (1 point)
How long will it take Lin and Diego to finish their milkshakes?
Answer: Lin will take 12 seconds, while Diego will take 10 seconds.
Step-by-step explanation;
Lin starts with 12 ounces and drinks one ounce per second, it will take him 12 seconds to finish the drink. Diego starts with 20 ounces and drinks two per second, so it will 10 seconds to finish the drink.
At a wedding reception an equal number of guests were seated at each of three large tables, and 7 late arriving desks were seated at a smaller table. There were 37 guests in all. If n represents the number of guests seated at each of the large tables, what equation represents the situation?
Answer:
10 guests a table
Step-by-step explanation:
3 tables
7 late arrivals
37 total people
37 minus 7 is 30
30 divided by 3 is 10
answer is 10
I need help but uh yeah.
Answer:
2- the ratio would be 5:20
3- the ratio would be 6:2
4- the ratio would be 20:7
Step-by-step explanation:
hope this helps! have a great day/night :)
Answer:
5:20
6:2
20:7
Step-by-step explanation:
BRAINIST & 20 POINTS!!!!!
Answer:
given
x=
Step-by-step explanation:
2x-3y=24
2×(-3)-3×(-7)
-6-21
27
Answer:ty
Step-by-step explanation:
help me please thank you
Answer:
Number 1. Hope you can read that
Step-by-step explanation:
What is the value of the expression
3x - (y/2 + 5)
When x=3.5 y=4
A 0.5
B 1.2
C 2.5
D 3.5
Answer:
D 3.5
Step-by-step explanation:
Replace values in the equation with values given. Calculate.
Answer:
D: 3.5
Step-by-step explanation:
Jonathan is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The monthly fee to be a member is $25 and the total cost of membership, including the joining fee, would be $300 for 8 months. Write an equation for C,C, in terms of t,t, representing the total cost of the gym membership over tt months.
Answer:
C(t) = 25+34.37t
Step-by-step explanation:
It is given that,
The monthly fee to be a member is $25 and the total cost of membership, including the joining fee, would be $300 for 8 months.
We need to write an equation for C in terms of t representing the total cost of the gym membership over t months.
At t=0, Jonathan pays $25 as joining fee.
Equation will be :
C(t) = Co+kt
Initially, Co = 25
C(t) = 25
At t = 8,
C(8) = 25 + k(8) = 300
8k = 275
k = 34.37
⇒ C(t) = 25+34.37t
Hence, this is the required equation.
30 men repair a road in 56 days by working 6 hours daily. In how many days 45 men will repair the same road by working 7 hours daily?
Step-by-step explanation:
(30 men, 56 days, 6 hours daily)
=> (30 men, 48 days, 7 hours daily)
=> (45 men, 32 days, 7 hours daily)
Hence it will take 32 days.
help asap
short its an MCQ
If the diameter of 3 circles is in the ratio 4: 2: 1. The perimeter of the smallest circle is 8 cm. Then the area of
the shaded region is
Answer:
216[tex]\pi[/tex]
Step-by-step explanation:
Given the figure.
And the perimeter in the ratio 4: 2: 1.
Perimeter of smallest circle = [tex]8\pi[/tex]
To find:
Area of shaded region.
Solution:
To find the area, we need to have radius first.
And radius can be calculated by the given perimeter.
Formula for Perimeter is given as:
Perimeter = [tex]2\pi r[/tex]
[tex]8\pi = 2\pi r\\\Rightarrow r = 4\ cm[/tex]
Radius of smallest circle = 4 cm
Ratio of perimeter is equal to the ratio of the radii.
Radius of 2nd smallest circle by the given ratio = 8 cm
Radius of largest circle = 16 cm
Area of a circle is given the formula:
[tex]A = \pi r^2[/tex]
Area of the smallest circle = [tex]\pi 4^2 = 16\pi\ cm^2[/tex]
Area of the 2nd smallest circle = [tex]\pi 8^2 = 64\pi\ cm^2[/tex]
Area of the largest circle = [tex]\pi 16^2 = 256\pi\ cm^2[/tex]
Area of the shaded region = Area of largest circle + 2 [tex]\times[/tex] Area of 2nd smallest circle + 3 [tex]\times[/tex] Area of smallest circle - 2 [tex]\times[/tex] Area of smallest circle - 3 [tex]\times[/tex] Area of 2nd smallest circle
Area of the shaded region = Area of largest circle - Area of 2nd smallest circle + Area of smallest circle = [tex]256\pi - 64\pi +16\pi = 216\pi[/tex]
What is the area of rectangle VWXY?
Answer:
The area of the rectangle VWXY is 52 square units
Step-by-step explanation:
The formula of the area of the rectangle is A = L × W, where
L is the length of the rectangleW is the width of the rectangleIf a line segment has endpoints (x1, y) and (x2, y), then the line segment is horizontal and its length = x2 - x1If a line segment has endpoints (x, y1) and (x, y2), then the line segment is vertical and its length = y2 - y1From the given figure
∵ VWXY is a rectangle
∵ V = (3, -9) and W = (-1, -9)
∵ X = (-1, 4) and Y = (3, 4)
∵ Its length is WX or VY
∴ WX = VY
∵ Its width is VW or XY
∴ VW = XY
→ Let us find its length and its width
∵ Points W and X have the same x-coordinates
∴ y1 = -9 and y2 = 4
→ By using the 4th note above
∴ WX = 4 - -9 = 4 + 9 = 13
∴ L = 13 units
∵ Points X and Y have the same y-coordinates
∴ x1 = -1 and x2 = 3
→ By using the 3rd note above
∴ XY = 3 - -1 = 3 + 1 = 4
∴ W = 4 units
→ By using the formula of the area above
∵ A = 13 × 4
∴ A = 52 square units
∴ The area of the rectangle VWXY is 52 square units
Answer:
72
Step-by-step explanation:
The range of the function
Answer:
Range: {-4, 3, 5}
Step-by-step explanation:
The range of a function includes all the set of possible output, or y-values in a given data set of a function.
Thus, the range of the function, {(2, 3), (-3, 5), (6, -4)} includes 3, 5, and -4.
This can be written as:
Range: {-4, 3, 5}
Tony walks 1/4 a mile in 1/5 of an hour. Determine
how many miles he is walking per hour.
Answer:
he is walking 4 miles per hour
Step-by-step expl
A baseball ticket costs $75, but they are having a
promotional game night and all tickets are 35% off. What is
the new price of the ticket?
Is 74.65 correct
Find the slope and
y-intercept of the following then write it in slope intercept form.
slope is 4,
y-intercept is -6
Thank you!
Helpppppppppppp meeeeeee
Answer:
7
Step-by-step explanation:
An Orchestra has twice as many woodwind instruments as brass instruments. There are a total of 150 brass and wood instruments.
How would I write and two different addition equations to describe this situation? Please help!
Answer:
Brass + Brass = Woodwind
Brass + Woodwind = 150
Brass = 50, Woodwind = 100
Step-by-step explanation:
Hi there!
The two addition equations would be:
Brass + Brass = Woodwind
(As there are twice as many woodwind as brass)
AND
Brass + Woodwind = 150
(As there are 150 of those instruments in total)
These two equations fully describe this situation, and you can use them to solve the problem using substitution as well.
Since Woodwind = Brass + Brass, then:
Brass + Woodwind =150
Can also be written as:
Brass + (Brass+Brass) = 150
Now we can solve by combining all the like terms which gives us:
3*Brass = 150
Brass = 150/3
Brass = 50 meaning that Woodwind = 100, as 50+50=100.
Hope this helped!
I need help with 3x-2y=24
Answer:
y= 3/2x -12
Step-by-step explanation:
subract x then u got -2y=-3x+24
divide everythang by -2
then u got y=3/2x -12
Please help, will reward brainliest !! (would help if someone can explain aswell)
Answer:
I think b or d
Step-by-step explanation:
Sorry if it's wrong but i think it's one of those two
Answer:
im not sure if i did this right but i got the answer of B if it is wrong i am so sorry :( i really hope i did not fail you
Step-by-step explanation:
Given 4x + y = 180, if y is 20 what is x?
Answer:
40
Step-by-step explanation:
Insert the number
4x + 20 = 180
Get the variable by its self
4x + 20 = 180
-20 -20
4x = 160
/4 /4
x = 40
if you want you can insert it into the problem to check
This week, Tori ate 600 g of cheerios cereal.
That was 150% as much cereal as she ate last
week. How much cereal did Tori eat last week?
600 g is 150% of what number?
Step-by-step explanation:
600=150%
?= 100%
crossmultiplication
=400
600g=150%x
600 is therefore 150% of 400
solve the following quadratic equation by using formula method.√2x² + 4x + 2√2 = 0
Answer:
(3+2)+(4+2)
Step-by-step explanation:
234