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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Nikolas and Jayson recorded the number
of miles each ran over two years.
Miles Ran
Year Nikolas Jayson
Last Year 1,362 1.948
This Year 1,982 1.013
A. Write and solve equations to find
how many more total miles Nikolas
and Jayson ran last year than
this year.
B. Estimate how many more miles
were run last year than this year by
rounding each number in the table
to the nearest hundred and solving
the problem. Use the estimate to 1
check your answer to Part Als
reason
Answer:
6,219 .065
Step-by-step explanation:
A football team loses 3 yards on each of 4 consecutive plays. Find the total change in yards from where the team started.
Answer:
-12
Step-by-step explanation:
If you lose 3 yards for EACH of the 4 plays, than the equation is -3x4=-12
How do you divide fractions? BRAINEST IF HELPS PLEASE!!!!
Answer:
Multiple it by its reciprocal (the opposite/backwards version)
Step-by-step explanation:
BTW I like your name
What is the greatest common factor (GCF) of 72 and 81?
A. 12
B. 3
C. 9
D. 6
Answer:
c)9 i think
hope it will help you......please mark Brainliest .......A family buys 5 airline tickets and travel insurance that costs $17 per ticket. The total cost is $850. Let x represent the price of one ticket. Write an equation for the total cost. Then find the price of one ticket
A: 850=5x+17
B:850=17(x+5)
C:17=5x + 850
D:850+5(x+17)
Answer:
850+5(x+17) (D)
153
Answer:
I think it's B
Step-by-step explanation:
850 = 17(x + 5)
5 is the number of tickets bought
X is the price
$17 is the insurance
850 = 17x + 85
HELP MEWhich of the following expressions is equivalent to 6p + 11 + 8p + 3?
Question 1 options:
9p + 19
14p +14
14p + 11
14 + 11p
the answer is 14 (p + 1)
Please help me i don't get these!!!!
Answer:
the first one is d
Step-by-step explanation:
Answer:
1. D) D'(-4,0)
2. B) 11
Step-by-step explanation:
2. 5x+1+12x-8=180
17x-7=180
17x=187
x=11
Natalie can do 26 pushups in 2 minutes. How many could she do in 7 minutes?
Answer:
91 push-ups
Step-by-step explanation:
help giveing brainlist
Answer:
2.6
Step-by-step explanation:
Answer:
if it means how many tics away its 25 away but i can give you a
expression and you dnt have to use it but i worked
it out and i kinda wanna show ya...
Step-by-step explanation:
well tell you umm nyways
if you start at 0 and go up 13 then go back 26 you can plot them both
and get the expression 13- 26=-12 is that the answer no but i was just putting
that out there
hope this helped
A map of a park says its scale is 1 to 100.
Give an example of how this scale could tell us about measurements in the park.
Answer:
Well you can see the scale of like benches from far away and close up
Step-by-step explanation:
The price of gas changed from $2.34 to $3.22. Calculate the percent change in the price of gas?
a 0.88%
b 5.56%
c 25%
d 37.6%
Answer:
37.6% (Answer d)
Step-by-step explanation:
The increase in price was $3.22 - $2.34), or $0. 88
Now determine what percentage of the original price, $2.34, $0.88 is:
$0.88
------------ * 100^ = 37.6% (Answer d)
$2.34
HELPP Me With this question
Answer:
Line CB= undefined, line CD= zero, line DA= undefined, line BA= -2/3
Step-by-step explanation:
Hope is correct i did it all in my head
Find the image of the point (2, 4) if it is move 7 steps to the left and 5 steps up.
(4, 2)
(2, 4)
(-5, 9)
(9, 5)
Answer:
(-5,9)
Step-by-step explanation:
What is the equation of this line in Slope-Intercept Form?
Answer Choices:
y = 2x + 3
y = 3x + 1/2
y = 1/2x + 3
y = 3x + 2
Answer:
the first one
Step-by-step explanation:
Answer:
y = 2x + 3
Step-by-step explanation:
because the y intercept is 3 based on the graph then i found two points (-4,1) and (-2,2) then i used solved. -4+2=-2 , 1-2 =-1 which means that you get -2/-1 which equals 2
What is the volume of this cone?
Use 3.14 for pi. Round your answer to the nearest hundredth. Use the formula provided.
Answer:
75.40
Step-by-step explanation:
Could the number in the pic! :D
(Brainiest would help!)
Answer:
75.40
Step-by-step explanation:
USED A CALCULATOR
YA'LL I'M I NEED HELP
help me = crown :3 tysm
Answer:
B. 77
Step-by-step explanation:
because (72 + 97 + 82 + 77) ÷ 4 = 82
Pls Brailniest! ;) It would mean a lot.
Answer:
77
Step-by-step explanation:
If you add all the numbers you would get 251 and if you divide that by 3 you get 83.67. So what I did to get a mean of 82 was add those 3 numbers then the individual answer choice. so 72+97+82+77=328. 328/4 is equal to 82
5x - 29.4 + 1/2x when x is 11/5
Answer:
-17.3
Step-by-step explanation:
Evaluate 5 x + x/2 - 29.4 where x = 11/5:
5 x + x/2 - 29.4 = 5×11/5 - 29.4 + 1/2×11/5
Hint: | Express 5×11/5 as a single fraction.
5×11/5 = (5×11)/5:
(5×11)/5 - 29.4 + (11/5)/2
Hint: | Express (11/5)/2 as a single fraction.
(11/5)/2 = 11/(2×5):
(5×11)/5 - 29.4 + 11/(2×5)
Hint: | Cancel common terms in the numerator and denominator of (5×11)/5.
(5×11)/5 = 5/5×11 = 11:
11 - 29.4 + 11/(2×5)
Hint: | Multiply 2 and 5 together.
2×5 = 10:
11 - 29.4 + 11/10
Hint: | Approximate 11/10.
11/10≈1.1:
11 - 29.4 + 1.1
Hint: | Evaluate 11 + 1.1 using long addition.
| 1 | 1. | 0
+ | | 1. | 1
| 1 | 2. | 1:
12.1 - 29.4
Hint: | Factor out a negative sign in 12.1 - 29.4 in order to subtract.
12.1 - 29.4 = -(29.4 - 12.1):
-(29.4 - 12.1)
Hint: | Subtract 12.1` from 29.4`.
| 2 | 9. | 4
- | 1 | 2. | 1
| 1 | 7. | 3:
Answer: -17.3
00:00
A family drives 325 miles per day during a road trip.
Part A
Select the correct symbol to complete the inequality that represents how many days, d, the family must drive to travel at least 1,300 miles.
325d 1,300
00:00
Part B
For how many days must the family drive to travel at least 1,300 miles? Enter your answer in the box.
days
Answer:
Part A = the middle one
Part B = 4 days
Step-by-step explanation:
1,300 / 4 = 325
325 x 4 = 1,300
Inequality to represent number of days is 325d ≥ 1300.
Number of days to travel at least 1300 is 4.
What is inequality?An inequality is a mathematical expression in which both sides are not equal. Unlike equations, inequalities compare two values. Equal signs between are replaced by less than (or less than), greater than (or greater than), or not equals signs.
Given,
Family drives 325 miles per day
To travel at least 1300 miles
Let number of days be d
then
325d ≥ 1300
Dividing with 325 on both sides
d ≥ 1300/325
d ≥ 4
Hence, 325d ≥ 1300 is the inequality that represents number of days d to travel at least. 4 days is the least number of days.
Learn more about inequality here:
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Henrietta has a box of fruit with a mass of 88 dekagrams. What is the weight of the box of fruit in kilograms?
A)0.88 kilograms
B)8.8 kilograms
C)880 kilograms
D)8,800 kilograms
What is the area of the trapiziod
Answer:
950 feet
Step-by-step explanation:
the area of a triangle is a=(bh) 1/2
plug in the values for a triangle into that equation, then do it to the other triangle.
add the solutions to get 150 feet
then find the area of the rectangle: 20 x 40= 800
add 800 and 150 to get the total area: 950 feet
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:
A tub is filling up at 7 gallons of water in 2 minutes. At this rate, how long will it take the tub to fill up if it can hold 63 gallons of water?
1. Find the simple interest.
$2,700, 8.2%, 3 months
2.Find the ending balance.
$2,700, 8.2%, 3 months
3. Find the simple interest.
$725, 6.25%, 1 year
3. Find the ending balance.
$725, 6.25%, 1 year
ASAP I WILL MARK BRAINLIESTT
Answer:
The first one is 648 and the second one is 11,600
Step-by-step explanation:
1.2.PS-22 Question Help 1 MIN LEFT PLSSSS HELP
Use the negative fractions −
1
10 and −
1
9.
a. Find the decimal equivalents for each fraction.
b. Which is a repeating decimal? Which digit is repeating?
a. What is the decimal equivalent of −
1
10?
A.
−0.1
B.
−0.1
C.
−0.11
D.
−0.9
Click to select your answer and then click Check Answer.
3
parts remaining
Clear All Check Answer
plssssss help I have 1 MIN LEFT
Danielle makes $20 per week, and she already has $50. Write an equation to find y, the amount of money Danielle has after x weeks.
Answer:
50 + 20x = y
(you should get a second opinion)
Answer:
y=20x+50
Step-by-step explanation:
In slope-intercept form y=mx+b,
y is determined after the x value is plugged in
m is the slope (in this case it's 20)
x is the value you plugin
and b is the y-intercept; this value does not change
put it all together and you get y=20x+50
Hope this helps!
Find the least common multiple (LCM) of 8 and 10.
A. 10
B. 18
C. 40
D. 80
Answer:
The answer is C
Step-by-step explanation:
the least common multiple is the smallest number that you get when you multiple the two numbers together.Then it is divided by the least commom factor which is the smallest number that can go into both numbers.
HURRRY PLZZZ I. NEED SO MUCH HELP IM SO CONFUSED Melissa made some chocolate pudding. For every 3 cups of chocolate, she added 7 cups of milk. The ratio of chocolate to milk in Melissa’s chocolate pudding is ____. 3 7 over 3 3 over 7 7
Answer:
3/7
Step-by-step explanation:
Ratio is explained in word form: For every 3 cups of chocolate, she added 7 cups of milk.
It is also said as: 3:7, 3/7, and 3 to 7
i need help wit this
Answer:
-21.375
Step-by-step explanation:
Answer:
-21 3/8
Step-by-step explanation:
Cant you just use google calculator.
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 $7.5$.