Answer:
OM = ON by using concurrency of Δs BOM and DON
Step-by-step explanation:
In the figure ABCD:
∵ AB // CD
∵ CB // AD
∵ In any quadrilateral If every two sides are parallel then
it will be a parallelogram
∴ ABCD is a parallelogram
∴ AC and BD bisects each other at O ⇒ (properties of parallelogram)
∴ OD = OB ⇒ (1)
∵ BC // AD
∴ m∠CBD = m∠ADB ⇒ alternate angles
∵ M ∈ BC , N ∈ AD , O ∈ BD
∴ m∠MBO = m∠NDO ⇒ (2)
∵ BD intersects MN at O
∴ m∠MOB = m∠NOD ⇒ (3) (vertically opposite angles)
From (1) , (2) and (3)
∴ ΔBOM ≅ ΔDON
∴ OM = ON
By using concurrency of Δs BOM and DON, OM = ON Hence proved ∆AMO ≅ ∆CPO.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
In the given ABCD:
∵ AB // CD
∵ CB // AD
In any quadrilateral, every two sides are parallel, then it will be a parallelogram.
ABCD is a parallelogram
Thus we can say that AC and BD bisect each other at O
∴ OD = OB ⇒ (1)
∵ BC // AD
∴ m∠CBD = m∠ADB
M ∈ BC , N ∈ AD , O ∈ BD
m∠MBO = m∠NDO ⇒ (2)
BD intersects MN at O
m∠MOB = m∠NOD
So From (1), (2), and (3)
ΔBOM ≅ ΔDON
OM = ON
Hence, proved ∆AMO ≅ ∆CPO.
Learn more about congruent triangles;
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1. Which choice is NOT equal to the others?
A) - 2/5
B) -2/5
C) 2/5
D) 2/-5
2. Another way to write -7/8 is
A) 7/8
B) - 7/8
C) - 7/-8
3. In the example, Francine was able to cut __ strips.
A) 6
B) 9
C) 12
Not 6 not 5 not 8.46
Answer:
The answer is square root 72 or if you don't want to put it under the square root, just simplify and you get 8.49. Just use the distance formula.
MARK ME BRAINLIEST!!!
Answer:
The answer is the square root of 72 or it could be 8.49.
Which algebraic representation shows this dilation?
A) (x, y) → (2x, 2y)
B) (x, y) → (0.5x, 0.5y)
C) (2x, 2y) → (x, y)
D) (x, y) → (3x, 3y)
You buy 3.19 pounds of peaches, 1.25 pounds of oranges, and 2.44 pounds of apples what is your total bill? peaches cost $0.99 per pound oranges cost $1.09 per pound apples cost $1.19 per pound
Answer:
$6.88
Step-by-step explanation:
Answer:
6.88
Step-by-step explanation:
add them
please!!! it's urgent!! whoever answers first gets brainliest :)))
Answer:
3.8 divided by 4=0.95
Step-by-step explanation:
6 ears of corn for $1.80. What was the cost per ear?
12 apples for $2.88. What was the cost per apple?
5 tomatoes for $3.10. What was the cost per tomato?
Answer:
$0.30 per ear of corn, $0.24 per apple, $0.62 per tomato
Step-by-step explanation:
As 6 ears of corn cost $1.80, 180 cents divided by 6 equals 30 cents per ear.
As 12 apples cost $2.88, 288 cents divided by 12 equals 24 cents per apple.
As 5 tomatoes cost $3.10, 310 divided by 5 equals 62 cents per tomato.
Hope the explanations help!
There are $0.30 per ear of corn, $0.24 per apple, and $0.62 per tomato. which are determined by the division operation.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.
For example 4/2 = 2
As 6 ears of corn cost $1.80,
cost $1.80 divided by 6
The cost per ear = $0.30
As 12 apples cost $2.88,
cost $2.88 divided by 12
The cost per apple = $0.24
As 5 tomatoes cost $3.10,
cost $3.10 divided by 5
The cost per tomato = $0.62
Hence, there are $0.30 per ear of corn, $0.24 per apple, and $0.62 per tomato.
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HELP PLEASE WITH THIS MATH PLS
Answer:
-2.666666666667
simplify this equation into 4 x ((-2)/ 3).
Brandon and his two friends went out for dinner. They plan to split the bill evenly, and plan to leave a 18% tip. The bill is $54.98 before the tip. Which is the closest to the amount each person will pay for the meal, including the tip?
A) $21.63
B) $32.44
C) $9.90
D) $18.33
Answer:
It will be $9.90 .
Step-by-step explanation:
Answer:
A) 21.63
Step-by-step explanation:
tip is 9.90 54.98+9.90= 64.88 divided by 3= 21.63
70% of ___ is 35.
Explain your method.
Answer:
its 50 thats the answer
Step-by-step explanation:
and also echo2155 stop deleting my answers right now
its annoying and i don't like it
Triangle ABC has vertices at A(-3,4), B(4, -2), C(8,3). The triangle is translated 4 units down and 3 units left. Which
rule represents the translation? After the translation, what are the coordinates of vertex C?
A)
(x,y) - (x +3. y + 4); (11,7)
B)
(x, y) - (x - 4. y + 3): -6,7)
C)
(x,y) - (x - 3. y - 4); (5.-1)
D)
(x, y) - (x - 2, y - 1); (-5,7)
Answer: C
Step-by-step explanation:
X axis -left(subtract ) to right (add)
Y-axis -up (add)and down (subtract)
Answer: C
Step-by-step explanation:
this is the rest i could really use your help
Answer:I have no idea either looks like I should study this
Step-by-step explanation:
Answer: 1st one is $200 and the 2nd one is $33
Step-by-step explanation:
i just did the questions
Find the mistake made in the steps to solve the equation below
6x-1=-2x+9
8x-1=9
8x=10
X=8/10
X=4/5
Answer:
Option B
Step-by-step explanation:
Option B would be the right answer because instead of 8 being divided by 10 it should be 10 divided by 8.
I neeed hellllllllpppppppppppP!!!
Answer:
no u don cuz u didnt put yer question
Step-by-step explanation:
Answer:
on whattttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt
Step-by-step explanation:
Substitute the length of the sides (7 in, 25in n)
into the Pythagorean theorem. Then, find the length of the missing side m
(Please with step by step answer)
Answer:
it the using of Pythagorean theorem.
Order -4,9 -7 -10, and -3 from least to greatest.
Answer:
-10,-7,-4,-3,9
Step-by-step explanation:
-2X-10=14X-7
HELP ME
Answer:
x= -3/16
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
[tex]\frac{-3}{16}[/tex]
Step-by-step explanation:
Combine like terms
-16x=3
x=[tex]\frac{-3}{16}[/tex]
Will someone help with this math please
Answer:
b
Step-by-step explanation:
1/4x+17=x-4
help me and don't answer if you not gonna be serious
Shannon scored 36 points on 6 questions on her test. What is the unit rate for one question?
Answer:
6
Step-by-step explanation:
Yesterday, Linda had 71 baseball cards. Today, she gave d away. Using d, write an expression for the number of cards Linda has left.
Answer:
71-d=
Step-by-step explanation:
THIRTY POINTS TO ANSWER PROPERLY! Please show work and how you did it. Please don't be mean and post some nonsense thing to get points. :(
Answer:
simplify the r and the s and also add in the exponent to create 18r3 and 2s6 over r2 s4 and simplify here ya go 30 points
Step-by-step explanation:
PLZ HELP ME IM VERY CONFUSED! BRAINLIEST TO THE FISRT PERSON WITH WORK! AND 50 POINTS! AND ONLY ANSWER IF YOU HAVE AN ANSWER!!!!!!!!!!
The Hamptons Family has a fish tank holding 10,450 ml of water. The water is leaking at a rate of 270 ml per minute.
Part A: Define the input and output in the given scenario.
Part B: Write a function to model this situation.
Part C: How many liters of water will be left in the tank after 10 minutes
(hint: liters, not milliliters)
Answer:
The output would depend on the input so relating this to the question, the input is the time (in minute) and the output is the amount of water left in the tank
We can give a letter 't' for the time, the input, and f(t) for the output
----------------------------------------------------------------------------------------------------------------
The original amount of water in the tank is 10450, so this will be the fixed constant.
The amount of water lost per minute is 270 so this will be the term that varies depends on the variable of time, we write this as 270t
The function is given f(t) = 10450 - 270t
--------------------------------------------------------------------------------------------------------------
Given, t = 10
f(10) = 10450 - 270(10)
f(10) = 7750 ml
Step-by-step explanation:
Answer:
Part A:
Since the rate of 270 ml per minute has units of ml per minute, then yy must have units of ml and x must have units of minutes. The input must then be the number of minutes the tank is leaking for and the output is the number of ml of water remaining in the tank.
Part B:
Since the tank is leaking 270 ml per minute, then after x minutes, 270x ml of water has leaked out of the tank. The tank initially has 10,450 ml of water so after x minutes, there is y=10,450−270x ml remaining in the tank.
Part C:
After x=10 minutes, the amount of water remaining in the tank is y=10,450−270(10)=10,450−2,700=7,750 ml. There are 1,000 ml in 1 liter so 7,750 ml = 7.75 liters. There are then 7.75 liters of water left in the tank after 10 minutes.
ANSWER THIS CORRECTLY AND I WILL GIVE YOU BRAINLIEST
Answer:
81r 4 8
s
Step-by-step explanation:
Answer:
81r4S*8
Step-by-step explanation:
81r*6s*12 /r2s4
subtract powers
A recipe calls for 4 carrots for every 2 cups of water. Which expression can be used to find the number of carrots needed for 1 cup of water
4 carrots /2 cups of water
4 cups of water / 2 carrots
2 carrots / 4 cups of water
2 cups of water / 4 carrots
Answer:
4 carrots /2 cups of water
Step-by-step explanation:
Answer:
4 carrots /2 cups of water
Step-by-step explanation:
Hope its right
Let y=x^4-2. Find the average rate of change of y with respect to x over the interval (2,6)
A. 112
B. 320
Four siblings have a dog walking business. The table shows the hours worked by each sibling. Each sibling earns $25.50 per hour and the total number of hours worked is represented by 10h+15 , where h represents the number of hours Michael worked.
Martin 2.5h+3
Emilio 4(h−2)
Michael h
Mario 31
Answer:
Four siblings have a dog walking business. The table shows the hours worked by each sibling. Each sibling earns $25.50 per hour and the total number of hours worked is represented by 10h+15 , where h represents the number of hours Michael worked.
Martin 2.5h+3
Emilio 4(h−2)
Michael h
Mario 31
The algebraic expression is the combination of variable and constants with some mathematical operation between them. The Earning of the four siblings are $357, $244.8, $112.2 and $790.5 respectively.
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
Given that,
The earning of the siblings per hour is $25.50.
Total number of hours worked is 10h + 15.
As per the problem the value of h can be found by equating the total number of hours to the sum of hours worked by each sibling as given in the table as follows,
2.5h + 3 + 4(h - 2) + h + 31 = 10h + 15
⇒ 2.5h + 3 + 4h - 8 + h + 31 = 10h + 15
⇒ 7.5h + 26 = 10h + 15
⇒ 2.5h = 11
⇒ h = 11 / 2.5
⇒ h = 4.4
Thus, the earning of each sibling can be calculated by substituting h = 4.4 in their working hour and multiplying it by $25.50 as follows,
Earning of Martin is given as,
(2.5 × 4.4 + 3) × $25.50 = $357
Earning of Emilio is given as,
4(4.4 − 2) × $25.50 = $244.8
Earning of Michael is given as,
4.4 × $25.5 = $112.2
Earning of Mario is given as,
31 × $25.50 = $790.5
Hence, the earnings of the four siblings are as Martin : $357, Emilio : $244.8, Michael : $112.2 and Mario : $790.5.
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please can someone help with this,ASAP,all of the questions
Answer:
Step-by-step explanation:
1
.36 repeating
2
because the 3 and the 6 repeat and it doesn't terminate
3
because the remainder is not 0 so that is why it repeats
Help please: Find the quotient
Answer:
15 is the short answer
Step-by-step explanation:
Solution for 0.5 is what percent of 7.5:
0.5:7.5*100 =
(0.5*100):7.5 =
50:7.5 = 6.6666666666667
Now we have: 0.5 is what percent of 7.5 = 6.6666666666667
Question: 0.5 is what percent of 7.5?
Percentage solution with steps:
Step 1: We make the assumption that 7.5 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=7.5$.
Step 4: In the same vein, $x\%=0.5$.
Step 5: This gives us a pair of simple equations:
$100\%=7.5(1)$.
$x\%=0.5(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{7.5}{0.5}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{0.5}{7.5}$
$\Rightarrow x=6.6666666666667\%$
Therefore, $0.5$ is $6.6666666666667\%$ of $7.5$.
here is the rest you could help me in any way
Answer:
6:$255.50
7:$21.25
8:$219.50
9:$143.75
Step-by-step explanation:
Can i have brainiest?!!!!
Really simple one here :) Just need to see all steps and what the variable equals (if it isn't infinite or no solutions) Please hurry though !!
Answer:
No SolutionStep-by-step explanation:
Hope this helps! <3
Answer:
there is no solutions
Step-by-step explanation:
