Any rhombus is a parallelogram, but not the other way around. If you were to make a Venn Diagram, the "rhombus" portion is entirely inside the set of "parallelograms".
The same can be said about rectangles as well. Any rectangle is a parallelogram, but not the other way around.
If we overlapped the region of rectangles and rhombuses, then we form the region for squares. A square is a combination of a rhombus and a rectangle.
Any square has all four sides the same length (property of a rhombus) and all angles equal to 90 (property of a rectangle). Since a square inherits properties of a rectangle and rhombus, it automatically makes any square a parallelogram.
Check out the venn diagram below.
Which statement describes the relationships between x and y in these two equations?
y = 25x
y = x + 25
In y = 25x and y = x + 25, the value of y is 25 times more than the value of x.
In y = 25x, the value of y is 25 times the value of x, and in y = x + 25, the value of y is 25 more than the value of x.
In y = 25x and y = x + 25, the value of y is 25 more than the value of x
In y = 25x, the value of y is 25 more than the value of x, and in y=x+ 25, the value of y is 25 times the value of x.
Find the measure of the three missing angles in the parallelogram below.
Answer: x = 77 degrees, y = 77 degrees, z = 103 degrees
Step-by-step explanation:
Since y and 103 are essentially same side interior angles, they must add up to 180. Therefore, y = 180-103 = 77 degrees.
Opposite angles of a paralellogram are equal.
Therefore, x = y = 77 degrees and z = 103 degrees
The measure of the three missing angles in the parallelogram are,
⇒ ∠x = 78
⇒ ∠ y = 78°
⇒ ∠z = 103°
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
The parallelogram shown in figure.
We know that;
By Opposite Angles Theorem,
In parallelogram, The two opposite angles of a parallelogram are equal to each other.
Hence, We get;
⇒ ∠z = 103°
⇒ ∠x = ∠y
And, The sum of all angles in a parallelogram is 360°.
Hence, We get;
⇒ ∠x + ∠y + ∠z + 103° = 360
⇒ ∠x + ∠x + 103 + 103 = 360
⇒ 2∠x + 206 = 360
⇒ 2∠x = 360 - 206
⇒ 2 ∠x = 156
⇒ ∠x = 78
And, ∠ y = 78°
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8. An automobile's velocity, starting from a complete stop, is
140t
v (1) where vis measured in feet per second. After what
5t - 6
elapsed time would the automobile reach a velocity of 44 feet per
second? Please round your answer to the nearest tenth.
Answer:
3.3 seconds
Step-by-step explanation:
v(t) =140t/5t - 6 where v is velocity
The time, t when, v = 44 ft/s
Put v = 44 ft/s in the equation :
44 = 140t / 5t - 6
44(5t - 6) = 140t
220t - 264 = 140t
-264 = 140t - 220t
-264 = - 80t
Divide both sides by 80
264 / 80 = 80t/80
3.3 = t
Hence, automobile will reach a velocity of 44 ft /s after 3.3 seconds
Bonnie volunteers to bring bags of candy to her child's class for the Halloween party this year. She buys one bag of candy A containing
135 pieces of candy, one bag of candy B containing 495 pieces of candy, and one bag of candy C containing 315 pieces of candy. She
needs to use all the candy to create identical treat bags. How many treat bags can Bonnie make so that each one has the same number
and variety of candy? How many of each type of candy will be in each bag?
Step-by-step explanation:
we need the greatest or largest common factor (LCF) to find how many bags.
method prime factorization :
beginning with 2 we divide the number as often as possible by the current prime number until there is a remainder. then we use the next higher prime number and do the same.
when we reach 1 as final result, the process ends.
135 ÷ 2 not possible, going to 3
135 ÷ 3 = 45
45 ÷ 3 = 15
15 ÷ 3 = 5
5 ÷ 3 not possible, going to 5
5 ÷ 5 = 1 end
135 = 3×3×3×5
495 ÷ 2 not possible, going to 3
495 ÷ 3 = 165
165 ÷ 3 = 55
55 ÷ 3 not possible, going to 5
55 ÷ 5 = 11
11 ÷ 5 not possible, going to 7
11 ÷ 7 not possible, going to 11
11 ÷ 11 = 1 end
495 = 3×3×5×11
315 ÷ 2 not possible, going to 3
315 ÷ 3 = 105
105 ÷ 3 = 35
35 ÷ 3 = not possible, going to 5
35 ÷ 5 = 7
7 ÷ 5 not possible, going to 7
7 ÷ 7 = 1 end
315 = 3×3×5×7
the LCF is the longest sequence of prime factors the numbers have in common.
so, again, the numbers as prime factors in comparison :
135 = 3×3×3×5
495 = 3×3×5×11
315 = 3×3×5×7
they have in common
3×3 and 5
the LCF = 3×3×5 = 45
so, she can make max. 45 treat bags.
each bag will contain
135/45 = 3 pieces of candy A
495/45 = 11 pieces of candy B
315/45 = 7 pieces of candy C
you notice, how these numbers are exactly the remaining factors of the prime factoring ? it is not a coincidence ...
notice that 45 is the maximum number of treat bags.
following the prime factor combinations she could also create fewer treat bags (but with correspondingly more content).
she could create also
1 or
3 or
5 or
9 or
15
treat bags.
1. A criminologist is interested in determining whether prison terms differ for white and
black defendants convicted of burglary. She selected at random 18 records of burglary
convictions and compared the prison terms for the 10 white convicts and 8 black convicts
in the sample. The sentence lengths (in years) are shown in the table below. Using these
data, test the null hypothesis at the .01 a level that white and black defendants convicted
of burglary do not differ in sentence length.
The hypothesis is a two-sided test, because the distribution is two-sided and if a sample is greater than or less than a range of values.
How to explain the hypothesis?From the complete information, the null hypothesis is that whites and blacks convicted of burglary in this jurisdiction do not differ with respect to prison sentence length.
The alternate hypothesis is that whites and blacks convicted of burglary in this jurisdiction differ with respect to prison sentence length.
Also, the hypothesis is a two-sided test, because the distribution is two-sided and if a sample is greater than or less than a range of values.
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For each triangle, find the value of the variables
Answer/Step-by-step explanation:
Triangle PNM is an equilateral triangle, and angles in an equilateral triangle are all equal to 60.
y=60
Triangle PON is a different triangle, but all angles in a triangle add up to 180.
180-80=100
Because there are 2 angles, you do 100 divided by 2=50
x=50
Which transformation can be applied to the blue figure to create the red figure?
Answer:
Step-by-step explanation:
A rotation
Could you please be more specific on the question?
Answer:
Rotate 90 degrees to the left and then reflect it over the x axis
Step-by-step explanation:
It's a bit odd of a question being that it like doesn't have any axis shown but if you do this to the blue guy it should look like the red guy
Find the equation of the parabola that passes through the points (6, 10), (-2, 18) and (4, 51).
Lynn needs to save up $20 for a new game. How much money does she have if she has saved each percentage of her goal 25%, 75%,125%
$50
25% of 20 is $5
75% of 20 is $15
125% of 20 is $25
25
15 +
5
___
50
___
What does PITI stand for?
If you have bags in your inventory for more than three months, you plan to mark down the selling price by 25%. What will the markdown price be?
(Anyone got any accurate comments/answers)
Answer:
i don't know what to write
The price of a 7-minute phone call is $1.05 . What is the price of a 14-minute phone call?
Answer:
$2.10
Step-by-step explanation:
Since 7 minutes is half of 14 minutes, the price of the 14 minutes phone call must be two times the cost of the 7 minute phone call.
[tex]\frac{14}{7}[/tex]= 2
$1.05 should be multiplied with 2 to find the price of the 14 minute phone call.
$1.05 × 2 = $2.10
Find FG
FG=
__________________
FG = 16
Step-by-step explanation:
Two pairs of consecutive are congruent so, its a kite,
Opposite sides are equal in kite so,
x + 11 = 3x + 1
or, 11 - 1 = 3x - x
or, 2x = 10
so, x = 5
FG = x + 11 = 5 + 11 = 16
how many elements does A contains if it has 64 subsets
===========================================================
Explanation:
Rule: If a set has n elements in it, then it will have 2^n subsets.
For example, there are n = 3 elements in the set {a,b,c}. This means there are 2^n = 2^3 = 8 subsets. The eight subsets are listed below.
{a,b,c} .... any set is a subset of itself{a,b}{a,c}{b,c}{a}{b}{c}{ } ..... the empty setSubsets 2 through 4 are subsets with exactly 2 elements. Subsets 5 through 7 are singletons (aka sets with 1 element). The last subset is the empty set which is a subset of any set. You could use the special symbol [tex]\varnothing[/tex] to indicate the empty set.
For more information, check out concepts relating to the power set.
-------------------
The problem is asking what value of n will make 2^n = 64 true.
You could guess-and-check your way to see that 2^n = 64 has the solution n = 6.
Another approach is to follow these steps.
[tex]2^n = 64\\\\2^n = 2^6\\\\n = 6[/tex]
Which is fairly trivial.
Or you can use logarithms to solve for the exponent.
[tex]2^n = 64\\\\\text{Log}\left(2^n\right)=\text{Log}\left(64\right)\\\\n*\text{Log}\left(2\right)=\text{Log}\left(64\right)\\\\n=\frac{\text{Log}\left(64\right)}{\text{Log}\left(2\right)}\\\\n\approx\frac{1.80617997398389} {0.30102999566399} \ \text{ ... using base 10 logs}\\\\n\approx5.99999999999983\\\\[/tex]
Due to rounding error, we don't land exactly on 6 even though we should.
Find the value of x. Round to the nearest tenth.
20
X
35
Answer:
i think it's 40 I don't know.
Step-by-step explanation:
(:
Find AB
А.
B
N
M
-3. finele ooie 7
35.
D
22 uz to
с
29
Answer: 15
Step-by-step explanation:
By the trapezoid midsegment theorem,
[tex]\frac{AB+CD}{2}=MN\\\frac{29+AD}{2}=22\\29+AD=44\\AD=15[/tex]
33. Recall that the constant multiplier of an exponential function is known as an
exponential decay factor when the constant is between 0 and 1. Rewrite the function f(x)
- 100e * with a constant multiplier between 0 and 1.
Answer:
langdhhh hug you want to be a great day sujain vailet colourfor deniplan speech in the world same thing is the best friend to the new one of lesson geography important to you all for the next day sujain vailet colourfor deniplan speech in the world to the next day I will be back
Let \[f(x) = (x-1)(x-3)(x+5) + 72.\] Find the sum of all values of $x$ such that $f(x) = 72$.
Answer:
Step-by-step explanation:
f(x) = (x-1)(x-3)(x+5) + 72
if f(x) = 72, then
(x-1)(x-3)(x+5)=0
do
x-1=0, x=1
x-3=0, x=3,
x+5=0, x=-5
Answer:
x = 1, 3, -5
The values of x are 1, 3, and 5. Then the sum of the values of the x will be 1 + 3 + 5 = 9
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The function is given as below.
f(x) = (x – 1)(x – 3)(x + 5) + 72 ...1
And
f(x) = 72 ...2
From equations 1 and 2, we have
(x – 1)(x – 3)(x + 5) = 0
The value of x will be
x = 1, 3, and 5
The sum of the values of the x will be
⇒ 1 + 3 + 5 = 9
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find the length of x when you have 35 and 12
When I asked 35 what is the length of x is he answered it was 45. I didn't believe him so I went to his wife, 12 and asked her how long was x. She also said 45. I was like ooh. Cool. OK. good. Radical.
The price of an item has been reduced by 40%. The original price was $28 .
Answer:
$16.80
Step-by-step explanation:
Given the following question:
40% of 28
To find the new price of the item we use the formula to calculate percentages then we take that answer and subtract it from the original price.
[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{40\times28}{100}[/tex]
[tex]40\times28=1120[/tex]
[tex]1120\div100=11.2[/tex]
[tex]=11.20[/tex]
Subtract from original cost:
[tex]28[/tex]
[tex]28-11.20=16.8[/tex]
[tex]=16.80[/tex]
New price of the item is "$16.80."
Hope this helps.
25. The Orlemann family planted 3 rows of corn this year and
harvested 270 ears. How many rows should they plant if they
want to harvest 360 ears of corn?
Step-by-step explanation:
3 rows of corn provided 270 ears.
therefore 1 for provides 270/3 = 90 ears
so, to get 360 ears of corn, we need 360/90 = 4 rows of corn.
Please help with this Algebra question
Answer:
x = -2, y = -1, z = 1
Step-by-step explanation:
From (3), z = 2x + 5
From (2) y = (x - 2)/4
Sub them into (1):
5x - 6*(x - 2)/4 + 3(2x + 5) = -1
5x - 3x/2 + 3 + 6x + 15 = -1
19x/2 = -19
x/2 = -1
x = -2
y = (x - 2)/4 = (-2-2)/4 = -1
z = 2x + 5 = 2(-2) + 5 = 1
Simplify the expression:
2x+1bx8
Answer:
2x+8b
Step-by-step explanation:
First since 1 and 8b are on the same side mutiply them:
1bx8=8b
So our new equation is 2x+8b
The average fuel efficiency of U.S. light vehicles for 2005 was 21 mpg. If the standard deviation of the population was 2.9 and the gas ratings were normally distributed,
1) What is the probability that the mean mpg for a random sample of 25 light vehicles is under 20?
2) What is the probability that the mean mpg for a random sample of 25 light vehicles is between 20 and 25?
Answer:
1) The probability that the mean mpg for a random sample of 25 light vehicles is 0.042341.
2) between 20 and 25 --> 21-25/2.9 = -1.38
Step-by-step explanation:
Problem #1:
Using the z-score formula, z = (x-μ)/σ/n, where x is the raw score = 20 mpg,μ is the population mean = 21 mpg , σ is the population standard deviation = 2.9, n = random number of samples.X < 20= z = 20 - 21/2.9/√25= z = -1/2.9/5= z = -1.72414NowP-value from Z-Table:
P(x<20) = 0.042341Problem #2:
21-25/2.9 = -1.38What is m
A) 40°
B) 60°
C) 75°
D 80°
I need help with filling in the chart
Answer:
5-2.5
10-5
15-7.5
20-10
25-12.5
Step-by-step explanation:
The number of pizzas is just double the pounds of cheese.
ANSWER THE QUESTION BELOW AND YOU WILL GET 25 GOOD POINTS, PROBABLY BRAINIEST AS WELL!!!!!!! WITH DETAILED SOLUTION PLEASE.
Answer:
4.5 kg
Step-by-step explanation:
Weight of the puppy last year - x
1) 150 % = 1.5
2) x * 1.5 = 6.75
x = 6.75 / 1.5
x = 4.5 (kg)
Answer:
A
Step-by-step explanation:
First i take every answer and multiply them by 0.150. When i do this i can find the answer quickly because only one will equal the 6.75.
A equals the 6.75.
Have an amazing day!
Please rate and mark brainliest!
PLEASE HELP WILL MARK BRAINLIEST: What is the Interquartile range of the set of data this box-and-whisker plot represents?
Answer:
3
Step-by-step explanation:
Lower quartile (xL): 13.5
Upper quartile (xU): 18.5
Interquartile range (xU-xL): 3
Thanks!
Answer:
3 is the interquartile range.
To find interquartile range:
First find the upper quartile.Secondly, find the lower quartileinterquartle range (IQR) : upper quartile(Q3) - lower quartile (Q1)Here:
upper quartile(Q3) = 18lower quartile(Q1) = 15using the formula:
→ 18 - 15
→ 3
PLEASEEEE HELP I NEED A ANSWER ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
David has $520 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $303.93.
He buys 4 bicycle reflectors for $10.99 each and a pair of bike gloves for $25.25.
He plans to spend some or all of the money he has left to buy new biking outfits for $73.43 each.
Write and solve an inequality which can be used to determine xx, the number of outfits David can purchase while staying within his budget.
Answer:
answers is 32.564
Step-by-step explanation:
has left for buying outfits
Answer:x<_2
Step-by-step explanation:
$520
303.93+43.96(4 reflectors)+25.25 =373.14
new outfit =73.43x
73.43x+373.14<_520
x<_2
7. On average, 2 apples out of 15 are classified as being underweight. Find the probability that, in a
random sample of 200 apples, the number of apples which are underweight is more than 21 and
less than 35.
Answer:
200/15=13.22222. x 15= 26.666. 26.66666 is between 21 & 35.