The proofing that ABCD is a parallelogram can be done through the parallelogram side theorem.
What is the parallelogram side theorem?It should be noted that the parallelogram side theorem simply means that the opposite sides of a parallelogram are equal and also parallel to each other.
Here, BCA and DAC are alternate interior angles. Also, AC denotes the reflexive property. Therefore, BC is the same as DA as they're equal.
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Two boats A and B Left a Port at the same time on different routes . B travelled on a bearing of 150º and A travelled on the North side of B . When A had travelled 8km and B had travelled 10km, the distance between the two boats was found to be 12km . Calculate the bearing of A's route from C.
Answer: 67.2°
Step-by-step explanation:
To find angle C, we have to use cosine rule. Therefore,
12² = 8² + 10² - 2 × 8 × 10 × cosC
C = 82.8°
The bearing of A from C will be
= 150° - 82.8°
= 67.2°.
I was just wondering this is one of my questions in my math books and i needed help
Answer:
B is true
Step-by-step explanation:
5 is a coefficient of x^0
PLEASE HELP ME!
Tina and Tammy both get paid an equal hourly wage of $12 per hour. This week, Tina made an additional $46 in overtime. Select the expressions below that represent the weekly wages of both if x the number of hours
Tina worked this week and y= the number of hours Tammy worked this week
Answer:
Expressions B, D and E
Step-by-step explanation:
Here, we are to select which of the options is correct.
Let’s put in mind that they bought earn $12 per hour
x represents the number of hours Tina worked this week; the total amount of money she made would thus be x * 12 = $12x
Remembering that she made $46 overtime, the total amount of money she made that we would be $12x + 46
The total amount Tammy made, earning $12 per hour and working for y hours = $12 * y = $12y
The total amount of money both made is thus;
12x + 46 + 12y
= $(12x + 12y + 46)
Now, we have similar expressions in the question;
These are; expression B, expression D and expression E
While expression B is straightforward, the others are not
expression D is gotten by factoring out 12; 12x + 12y + 46 = 12(x + y) + 46
expression E just involved putting what each of the two earned in brackets
Distance between -13,10 and -7,2
The right answer is 10 units.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
The number of candies in the bag was less than 90. It is possible to divide all the candies evenly among 3, 4, or 7 children. How many candies were in the bag?
Answer:
84
Step-by-step explanation:
The least common multiple of 3, 4, and 7 is 3·4·7 = 84.
There were 84 candies in the bag.
In the following diagram, HI is parallel to JK. What is the measure of x?
Answer:
60
Step-by-step explanation:
find the missing angle in triangle HAI =60.
VERTICALLY OPPOSITE ANGLES ARE EQUAL.=60
Angle x is alternating with the angle.
Answer:
[tex]x = 60 \: \: degrees[/tex]
Step-by-step explanation:
Lets take LAH angle as 'y'[tex]61 + 59 + y = 180 \\ 120 + y = 180 \\ y = 180 - 120 \\ y = 60 \: \: degrees[/tex]
[tex]y = x(corresponding \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: angles) \\ 60 = 60 \\ \\ [/tex]
[tex]x = 60 \: \: degrees[/tex]
Find the GCF of the numbers 16 and 72
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
The Greatest Common Factor of two numbers is the largest whole number that goes into both of them. To find it, we can lay out all the factors of each number and pick the largest one.
Factors of 16: 1, 2, 4, 8, 16
Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The largest number that shows up on both lists of factors is 8, so the GCF of 16 and 72 is 8.
A bicycle wheel has a circumference of 62 inches. Find the diameter of the wheel. If necessary, round to the tenths place. 39.5 inches 19.7 inches 15.5 inches 9.9 inches
Answer:
19.7 inches
Step-by-step explanation:
The formula for the circumference of a circle of radius r is C = 2πr. If the diameter is given, then the formula is C = πd.
Here C = 62 in. Dividing both sides by π yields the diameter: d = C/π:
62 in
d = ----------- = 19.7 inches
3.14
Answer:
b. 19.7
Step-by-step explanation:
did it on the ed2020 practice
There are 30 fruits, all apples and peaches, in a basket. Take out any three of them and at least one will be an apple. How many peaches might there be in the basket?
Answer:
There are a maximum of 2 peaches in the basket.
Step-by-step explanation:
There are 30 fruits in a basket, all apples and peaches.
If 3 fruits are taken out of the basket, it is said that at least one of the 3 fruits would be an apple.
For this to be possible, it means, picking 3 fruits, at random from the basket guarantees at least 1 of them being an apple.
This means that the maximum number of peaches obtainable from the basket is 2, to guarantee a sure case of the last fruit of 3 selected fruits being an Apple. There has to be a minimum of 28 apples in the basket for this statement to be absolutely non-contestable.
Hope this Helps!!!
Answer:
max=2 peaches
Step-by-step explanation:
Find the mean, median and mode of these numbers
11,10,8,10,1
12,10,16,28,15,29,26,16,1
13,11,12,8,10,6
9,12,5,9,14,5,7,8,9,2
Thank you for helping!
Answer:
11, 10, 8, 10, 1
mean - 8
median - 10
mode - 10
12, 10, 16, 28, 15, 29, 26, 16, 1
mean - 17
median- 16
mode - 16
13, 11, 12, 8, 10, 6
mean - 10
median - 10
mode - no mode
9, 12, 5, 9, 14, 5, 7, 8, 9, 2
mean- 8
median- 8.5
mode - 9
mean - add up all numbers then divide that answer by how many numbers there are
median - put all the numbers in order and find the middle number
mode- most frequent number
Mrs. Bogaczyk got bored and decided to go on an Amazon spending spree! She bought 3 pairs of flip flops for $14.95 each, a sundress for $21.50 and two tanks tops...One that was $9.99 and one that was $15.44. The tax came to $7.34 but shipping was free. How much did Mrs. B. Spend altogether? If the budget for spending was $100, how much money does Mrs. B. Have left?
Step-by-step explanation:
3 pairs of flip flops = 14.95 x 3 = 44.85
Total amount spent = 44.85 + 21.50 + 9.99 + 15. 44 = 91.78
After adding tax = 91.78 + 7.34 = 99.12
Mrs B spent 99.12 altogether
Budget = 100
Then money left = 100 - 99.12 = 0.88
A bag contains 4 blue marbles, 6 green marbles, 3 yellow marbles. b) What's the probability of drawing a yellow marble?
Answer:
3/13
Step-by-step explanation:
There are 13 marbles in the bag, 3 of them are yellow, so the probability of yellow marbles being drawn is 3/13
When Violet was born she weighed 54 pounds. At 5 months old she weighed 16.3 pounds.
How much weight did she gain between birth and 5 months old?
Answer:
37.7 pounds
Step-by-step explanation:
Simply subtract 54 (starting weight) by 16.3 (weight at 5 months) = the amount of weight she lost.
54 - 16.3 = 37.7Please help me to solve this question.
Answer:
A=266CM
Step-by-step explanation:
p=2l + 2w l=2x+1 w=x+5
66=2[2x+1] + 2{x+5] l=2x9 + 1 w=9+5
66=4x+2 + 2x+10 l=18+1 w=14
66=6x+12 l=19
66-12=6x
54=6x A=L x W
x=9 A=19 x 14
A=266CM
Find the length of DE
Answer:20
Step-by-step explanation:
Sarah solved a quadratic equation. Her work is shown below, with Step 1 missing.
What could Sarah have written as the result from Step 1?
2(x + 1)2 +6 = 134
Step 1
(x+1)2 – 64
Step 2
2+1 =18
Step 3
x = -9 or x = 7 Step 4
Khan academy quiz
Answer:
c.2(x+1)^2=128
Step-by-step explanation:
The missing step that Sarah has to write as the result of Step 1 will be 2(x + 1)² = 128.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The equation is given below.
2(x + 1)² + 6 = 134
Simplify the equation, then we have
2(x + 1)² + 6 = 134
2(x + 1)² = 128
(x + 1)² = 128 / 2
(x + 1)² = 64
Take square root on both sides. Then we have
(x + 1) = ± 8
x = - 1 ± 8
x = - 1 - 8, - 1 + 8
x = - 9, 7
The missing step that Sarah has to write as the result of Step 1 will be 2(x + 1)² = 128.
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What is the value of 3-(-2)?
Answer:
5
Step-by-step explanation:
3 - (-2)
Subtracting a negative is adding
3+2
5
Answer:
It's positive 1
Step-by-step explanation:
Because I'm saying goat
Points A, B, and C are collinear and B is between A and C. You are given AC = 18 and BC = 4. What is the value of AB?
Answer: AB = 14 units.
Step-by-step explanation:
Collinear means that we can draw a line that goes trough the 3 points.
We also know that B is between A and C, so we may have something like:
----A---------B--------------C------------
The distance between A and C is 18 units.
And the distance between B and C is 4 units.
Looking at that description, you can see that the distance between A and B is equal to the distance between A and C minus the distance between B and C.
So we have:
AB = AC - BC = 18 units - 4 units = 14 units.
Here is a diagram of a person standing next to a lorry.
The diagram shows two centimetre rulers.
The person and the lorry are drawn to the same scale.
The lorry is approximately 9.5 m in length.
Using the scale diagram, estimate the height of the person in metres.
Answer:
The person is a about 2m
The height of the person is 0.475m.
What is the scale factor?The scale factor is the ratio of the size image in scale and original size of the image.
Scale factor= new size/ original size
Here given that the length of the lorry is 9.5 m= 9.5*100 cm= 950 cm
But in scale, the length of the lorry is 10cm
scale factor =new size/ original size= 10/950= 1/95
Similarly for the person height of the person on the scale is given = 2cm
As from above it is clear that
scale factor= 1/95
new size/ original size= 1/95
2/ original size= 1/95
original size= 95/2
original size= 47.5 cm
original size= 47.5/100 m= 0.475 m
Therefore the height of the person is 0.475m.
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Which ordered pair is a solution to the system of linear equations?
2x + 3y= 6
-3x + 5y = 10
(0.2)
(2.0)
(3.2)
(2.3)
HELP
Answer:
Step 1: Substitute the value of x into the equation
x= 3-3/2y
-3x+5y=10
Step 2: Solve the equation
-3(3-3/2y)+5y=10
Step 3: Substitute the value of y into the equation
Y=2
Step 4: Solve the equation
X=3-3/2×2 = X=0
Answer: (0,2)
what is 3 and 1/2 divided by 1 and 3/7 equal please help
Answer:
2.45
Step-by-step explanation:
Answer:
2 9/20
Step-by-step explanation:
3 1/2 ÷ 1 3/7
Change to improper fractions
(2*3+1)/2 ÷ (7*1+3)/7
7/2 ÷10/7
Copy dot flip
7/2 * 7/10
49/20
Change back to a mixed number
20 goes into 49 2 times with 9 left over
2 9/20
the expression 1350(1.05)^t models the average wages, in dollar, in the us as a function of the number of years since 1930. what does 1.05 represent in this expression.
Answer:
The average wage in the us increase by about five percent
Step-by-step explanation:
The 1.05 represents the rate of increasing average wages in the US, and it depicts that average wages are increasing by 5 %.
What is the percentage?As it is clear from the term per cent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.
Given the expression,
[tex]1350(1.05)^t[/tex]
As it is clear that this is the formula for the amount,
[tex]A = P \times (1+r/100)^t[/tex]
Here, the value of the middle expression is 1.05, which can be written as 1 + 5 / 100.
Therefore, it is the rate of increasing wages in the US, and it depicts that the wages are increasing by 5 %.
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Simplify Negative 3 over 2 divided by 9 over 6.
Answer:
-1
Step-by-step explanation:
So in this case your dividing -3/2 by 9/6
So a strategy I learned was KCF aka. keep change and flip.
Therefore, in this case you keep -3/2
You change the dividing sign into multiply and then you flip 9/6 which makes 6/9.
These leaves us with -3/2 x 6/9
After multiplying, you'll probably get -18/18.
Which leaves us with -1 since if you divide a positive by a negative or a negative by a positive it'll give you a negative number.
Hopefully this helped! :)
100 Points, EASY MATH QUESTION.
Topic: Fractions
Three siblings decided to share the yard work (chores) that their parents assigned. If siblings A and B do 8/12 of the work, what fraction of the work is left for sibling C?
1/2
1/3
1/4
1/5
Answer:
1/3
Step-by-step explanation:
1/3 because 8/12 + 1/3 is 1 whole
Answer:
1/3
Step-by-step explanation:
The whole chore is 1, or 12/12
Subtracting the fraction of work done by A and B
12/12- 8/12 = 4/12
Which simplifies
4/12 = 1/3
Solve for z.
3 + 9z = –7 + 10z
z =
So the value of z is 10.
look at the attached picture
Hope it will help you
Good luck on your assignment
Expand the expression and combine like terms. Show your work.
1.6x−12(3.8x+0.04)
Answer:
-44x - 0.48
Step-by-step explanation:
[tex]1.6x-12(3.8x+0.04)\\=1.6x-12\times 3.8x -12\times 0.04\\=1.6x-45.6x -0.48\\=-44x - 0.48[/tex]
A bullet train traveled 270 kilometers in 1.5 hours. The entire trip is scheduled to last 5 hours. If the train continues at the same rate, which proportion can be used to find the length, in kilometers, k, of the trip?
Answer:
270/1.5=k/5
Step-by-step explanation:
270 km........1.5 h
k km........5 h
270/1.5=k/5
What is the area of the shaded region? A. 21mm B. 24 mm C. 42 mm D. 48 mm
Answer:
Can i see a pic of the shaded part?
Step-by-step explanation:
A 2-pound bag of chocolate candies costs $5.37. What is the unit price, rounded to the nearest cent?
Answer:
$2.69/pound ($2.69 per pound)
Step-by-step explanation:
The unit price means the cost of one pound of candies. To find this, we'll half the cost of 2 pounds of candies, which is 5.37 / 2 = $2.69 / pound. Hope this helps!
A pound is approximately 0.45 kg . A persons weight 87 kg. What is the persons weight , in pounds, when rounded to the nearest whole number
Answer:191.80 lbs
Step-by-step explanation:
Answer:
190
Step-by-step explanation:
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