Answers
Answer:
[tex]AD = 6[/tex], [tex]DC = 14[/tex], [tex]\angle A = 114^{\circ}[/tex], [tex]\angle B = 66^{\circ}[/tex], [tex]\angle C = 114^{\circ}[/tex]
Step-by-step explanation:
From Euclidean Geometry, parallelograms satisfy the following properties:
1) [tex]\angle A = \angle C[/tex], [tex]\angle B = \angle D[/tex]
2) [tex]\angle A +\angle D = \angle D + \angle C = \angle C +\angle B = \angle A+\angle B = 180 ^{\circ}[/tex]
3) [tex]AD = BC[/tex], [tex]AB = DC[/tex]
By 3):
[tex]AD = 6[/tex]
By 3):
[tex]DC = 14[/tex]
By 2):
[tex]\angle A = 180^{\circ}-\angle D[/tex]
[tex]\angle A = 180^{\circ}-66^{\circ}[/tex]
[tex]\angle A = 114^{\circ}[/tex]
By 1):
[tex]\angle B = 66^{\circ}[/tex]
By 1):
[tex]\angle C = 114^{\circ}[/tex]
Related Questions
a fruit stand has to decide what to charge for their produce. They decide to charge $5.30 for 1 apple and 1 orange.
Answers
Answer:
Each fruit cost $2.65 each
Step-by-step explanation:
530 divided by 2 equals 265
Then move the decimal two places left and you get...
2.65
Brainliest? I'm trying to level up!
</3 PureBeauty
What are the coefficients of this expression? x + y + 2
Answers
Answer:
1
Step-by-step explanation:
Since the variables dont have any numbers next to them, 1 is the coefficient for x and y
Solve the proportion ASAP do both promblem
Answers
8. 1/3 = 3/y
or, y= 9
11. 3/x= 6/x+8
or, 6x=3x+24
or, 3x= 24
or, x=8
Hope it helps uh.
Answer:
x = 8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Subtract 3x from both sides.
Step 3: Divide both sides by 3.
Hope this helps
What is an equation of the line that passes through the points (-6, 5) and (6, -7)
Answers
m is the gradient and c is the y intercept
gradient = change in y / change in x
so it would be -7-5 divided by 6 - -6 = -12/12 = -1
the equation is now y = -x+c
now to find the y intercept you substitute one of the given coordinates into the equation we already have
(6,-7) —> -7= -(-7) + c
= -7 = 7 + c
= c = -14
we put that back into the equation to get line
y = -x - 14
Help plz:)))I’ll mark u Brainliest
Answers
Answer:
[tex]x=1,CD=5[/tex]
Step-by-step explanation:
It's given that [tex]ABCD\cong FGHJ[/tex]. Because the side [tex]CD[/tex] corresponds with the side [tex]HJ[/tex], their lengths will be equal. Therefore, we have:
[tex]2x+3=3x+2,\\x=1[/tex]
Plugging [tex]x=1[/tex], we have:
[tex]CD=2(1)+3=5[/tex].
The price of a shirt is $18.50 but you have a coupon that lowers that price by 20% what is the price of that shirt?
Answers
Answer:
$3.70
Step-by-step explanation:
What you would do is 18.50×20%. And to make it easier you would do 18.50×0.20 which equals 3.70.
Answer:
The shirt would be $14.80 after using the coupon!
Step-by-step explanation:
I hope this helps a bit, have a good day! =)
which expressions are equivalent to the first one? I don't understand how to determine that so please explain. Thanks!
Answers
9514 1404 393
Answer:
(a) -(x+7)/y
(b) (x+7)/-y
Step-by-step explanation:
There are several ways you can show expressions are equivalent. Perhaps the easiest and best is to put them in the same form. For an expression such as this, I prefer the form of answer (a), where the minus sign is factored out and the numerator and denominator have positive coefficients.
The given expression with -1 factored out is ...
[tex]\dfrac{-x-7}{y}=\dfrac{1(x+7)}{y}=\boxed{-\dfrac{x+7}{y}} \quad\text{matches A}[/tex]
Likewise, the expression of (b) with the minus sign factored out is ...
[tex]\dfrac{x+7}{-y}=\boxed{-\dfrac{x+7}{y}}[/tex]
On the other hand, simplifying expression (c) gives something different.
[tex]\dfrac{-x-7}{-y}=\dfrac{-(x+7)}{-(y)}=\dfrac{x+7}{y} \qquad\text{opposite the given expression}[/tex]
__
Another way you can write the expression is term-by-term with the terms in alpha-numeric sequence (so they're more easily compared).
Given: (-x-7)/y = (-x/y) +(-7/y)
(a) -(x+7)/y = (-x/y) +(-7/y)
(b) (x+7)/(-y) = (-x/y) +(-7/y)
(c) (-x-7)/(-y) = (x/y) +(7/y) . . . . not the same.
__
Of course, you need to know the use of the distributive property and the rules of signs.
a(b+c) = ab +ac
-a/b = a/(-b) = -(a/b)
-a/(-b) = a/b
__
Summary: The given expression matches (a) and (b).
_____
Additional comments
Sometimes, when I'm really stuck trying to see if two expressions are equal, I subtract one from the other. If the difference is zero, then I know they are the same. Looking at (b), we could compute ...
[tex]\left(\dfrac{-x-7}{y}\right)-\left(\dfrac{x+7}{-y}\right)=\dfrac{-y(-x-7)-y(x+7)}{-y^2}\\\\=\dfrac{xy+7y-xy-7y}{-y^2}=\dfrac{0}{-y^2}=0[/tex]
Yet another way to check is to substitute numbers for the variables. It is a good idea to use (at least) one more set of numbers than there are variables, just to make sure you didn't accidentally find a solution where the expressions happen to be equal. We can use (x, y) = (1, 2), (2, 3), and (3, 5) for example.
The given expression evaluates to (-1-7)/2 = -4, (-2-7)/3 = -3, and (-3-7)/5 = -2.
(a) evaluates to -(1+7)/2 = -4, -(2+7)/3 = -3, -(3+7)/5 = -2, same as given
(b) evaluates to (1+7)/-2 = -4, (2+7)/-3 = -3, (3+7)/-5 = -2, same as given
(c) evaluates to (-1-7)/-2 = 4, different from given
Let p be a prime. Compute the following sum (mod p):
Answers
___________
2(p-1)
Hop it help
arrange the expressions in increasing order of their values
Answers
Answer:
Plz give a picture or smth
Step-by-step explanation:
Thanks for the points tho
Identify the population and the sample.
a. A survey of 1000 U.S. adults found that 83% think credit cards tempt people to buy things they cannot afford.
b. Thirty-eight nurses working in the San Francisco area were surveyed concerning their opinionsof managed health care.
c. A survey of 39 credit cards found that the average annual percentage rate (APR) is 12.83%.
d. A survey of 1205 physicians found that about 60% had considered leaving the practice ofmedicine because they were discouraged over the state of U.S. health care.
Answers
In statistics,
Population = Largest set that contains all the individuals or items related to a particular study.Sample = Subset of population.By using above definitions ,
a. Population = all U.S. adults
Sample = 1000 U.S. adults
b. Population = all nurses working in the San Francisco.
Sample = 38 nurses working in the San Francisco.
c. Population = all credit cards
Sample = 39 credit cards
d. Population = all physicians.
Sample = 1205 physicians
The histogram below shows the scores for Mrs. Smith's second block class at Red Rock Middle School.
How many students scored a 77 on the test?
Answers
The number of students that scored a 77 on the test in the histogram D. Cannot be determined.
What is a histogram?It should be noted that a histogram is simply used to review and provide a visual analysis of data.
In this case, the number of students that scored a 77 on the test cannot be determined.
Learn more about histogram on:
https://brainly.com/question/2962546
#SPJ2
solve
hurryyyy plzzz
Answers
Answer:
1) 1/3+1/2= 5/6 2) 3/4-1/2= 1/4
Step-by-step explanation:
1/3+1/2= 5/6 (multiply each denominator by what both of the fractions can equal, so 1/3= 2/6 and 1/2= 3/6. add 3/6 and 2/6 together) ( whatever you do to the top you do to the bottom)
3/4-1/2= 1/4 ( 3/4 equals 3/4 since 1/2 already equals 2/4, u dont need to change anything to 3/4) but make sure you make 1/2 equal to 3/4 so you can subtract easily!
carrie biked 75 miles in 3 days.
Answers
Answer:
25 miles a day
Step-by-step explanation:
75 divided by 3 is 25
Answer:
wow good job carrieee lol
thers no question tho :(
Question 1 of 10
What is the length of the blue segment in OL below?
A. 7.74 units
B. 15.48 units
C. 7.9 units
D. 3.95 units
Answers
Answer:
7.74
Step-by-step explanation:
Solve for x: -3x + 3 < 6 (2 points)
a
x>-1
..
x <-3
Od
x>-3
Answers
Answer:
System of Linear equations. To find the quadratic functions f(x) = ax^2 + bx + c whose graphs contain the points (1,0) and (3,0) we can evaluate f at 1
Step-by-step explanation:
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-3x+3<6 Equation/Question
Step 2
-3x+3<6 Simplify
-3x<3
Step 3
-3x<3 Divide
Answer
x>-1
Hope this helps
estimate the quotient 61 ÷ 8 plz help me someone
Answers
Answer:
7.625
Step-by-step explanation:
An airplane 30,100 feet above the ground begins descending at the rate of 2150 feet per minute. Write and solve a linear equation to find how long it will take the plane to reach the ground.
Answers
Answer:
14 minutes.
Step-by-step explanation:
To create a linear equation that represents an airplane flying at an altitude of 30,100 feet, descending 2,150 feet per minute, that represents how long it will take for the airplane to touch down, proceed as follows:
2,150X = 30,100
X = 30,100 / 2,150
X = 14
Thus, the plane will take 14 minutes to reach the ground, descending 2,150 feet per minute from 30,100 feet.
A number divided by 16 is 3/8
Answers
-12m = 16 . plz its really important i need some help
Answers
Answer:
-1 and 1/3
Step-by-step explanation:
-12 x -1 1/3= 16
Answer:
-3/4
Step-by-step explanation:
-12m=16
m=12/-16
simplify
m=-3/4
A moving truck can carry no more than 1,480 pound of cargo. Brian loaded 640 pounds into the truck already. He is loading boxes that weigh 70 pounds. How many boxes can he put into the truck?
Let x = # of boxes
Answers
Answer:
I'm not really sure that my answer is correct, but if you divide 640 by 70 you get 9, so Brian can put 9, 70 pound boxes in the truck.
Step-by-step explanation:
what is this answer?
Answers
Answer:
the answer is h=9
Step-by-step explanation:
the answer is h=9
27/3=9
Explain how the Distributive Property can be used to solve the equation.
3(x + 4) = 36.
a. Add 3 to each term inside the parentheses, then use inverse operations to solve.
b. Subtract 3 from each term inside the parentheses, then subtract 12 from both sides.
c. Multiply each term inside the parentheses by 3, then use inverse operations to solve.
d. Divide both terms inside the parentheses by 3, then subtract 12 from both sides.
Answers
Write an equation of the line that passes through (2,3) and is perpendicular to the line shown. Please help!!
Answers
Answer:
7.0
Step-by-step explanation:
In ΔVWX, the measure of ∠X=90°, the measure of ∠W=9°, and WX = 8.7 feet. Find the length of XV to the nearest tenth of a foot.
Express the reoccurring decimal 0.56 as a fraction
Please see screenshot
Answers
Answer:
I have made it in pic hope it helps
Which of the following could be points on the unit circle?
A. ( 5/13, 12/13)
B. (6/7, pi13/ 7)
C. (1/3, 2/3)
D. (4/3, 4/5)
Answers
Answer:
Points A and C are on the unit circle
Step-by-step explanation:
The unit circle is a circle of radius 1, that is, all the points that are inside the circle have the sum of the squares of its coordinates that are at most 1. Here, we have to test this for each option.
In options B and D, the coordinates 13/7 and 4/3, respectively, means that this sum will be larger than 1, and this points will not be on the unit circle. Now we text for options A and C.
A. ( 5/13, 12/13)
[tex]\sqrt{(\frac{5}{13})^2+(\frac{12}{13})^2} = \sqrt{\frac{25}{169}}+\sqrt{\frac{144}{169}} = \sqrt{\frac{169}{169}} = \sqrt{1} = 1[/tex]
Since the sum of the squares is 1, the point is on the unit circle.
C. (1/3, 2/3)
[tex]\sqrt{(\frac{1}{3})^2+(\frac{2}{3})^2} = \sqrt{\frac{1}{9}}+\sqrt{\frac{4}{9}} = \sqrt{\frac{5}{9}}[/tex]
Since the sum of the squares is less than 1, the point is on the unit circle.
Is 3.5 a rational number
Answers
Answer:
Yes
Step-by-step explanation:
3.t can be written as a fraction, which is 7/2, so yes it is a rational number.
Adam would like to buy a used car, and collected several data to evaluate the best model (such as age, price, weight, etc.) Thanks to a scatterplot, he established that the relation between age and weight is somewhat linear. He calculated that the correlation between age and weight is 0.512. Describe the association.
Answers
Answer: There is a strong association between age and weight.
Step-by-step explanation:
The correlation coefficient (r) is used to describe the relationship between two variables.
[tex]-1\leq r\leq1[/tex]
If r lies between -1 to -0.5 or 0.5 to 1, then there is strong association between them.
Here, Variables: Age and weight.
correlation coefficient = 0.512
That means, there is a strong association between age and weight.
Please help me with my homework!!!
Answers
Answer:
Step-by-step explanation:
The nomebers are equivalent (true)
opposites. (true)
produt 1 (false)
a positive value (false)
last on don't now but I think it's (false)
PLEASE SOMEONE I REALLY NEED HELP THIS IS DUE TODAY!!!!!!!!!!
Carla paints 34 of the fence in 1 hour. Which rates are equivalent to Carla’s rate of painting? SELECT ALL THAT APLLY.
A) 3/10 hour to complete 2/5 of the fence
B) 4/5 hour to complete 3/5 of the fence
C) 2/3 hour to complete 1/2 of the fence
D) 9/4 hour to complete 1/3 of the fence
Answers
Will give brainliest, and 32 points. Evaluate the expression for x = 3, y=13 , and z = 5. 12x−3y4x−z Enter your answer in the box. What do I put in the box? Tell me that please.
Answers
9514 1404 393
Answer:
5
Step-by-step explanation:
Fill in the given values and do the arithmetic.
[tex]\dfrac{12x-3y}{4x-z}=\dfrac{12\cdot3-3\left(\dfrac{1}{3}\right)}{4\cdot3-5}=\dfrac{36-1}{12-5}=\dfrac{35}{7}=\boxed{5}[/tex]
Answer:
5Step-by-step explanation:
We know that:
Given expression: [tex]\frac{12z - 3y}{4x - z}[/tex]x = 3y = 1/3z = 5Solution:
[tex]\frac{12z - 3y}{4x - z}[/tex]=> [tex]\frac{12z - 3y}{4x - z}[/tex]=> [tex]\frac{12(3) - 3(\frac{1}{3}) }{4(3) - 5}[/tex]=> [tex]\frac{36 - 1 }{12 - 5}[/tex]=> [tex]\frac{35}{7} = 5[/tex]Hence, 5 is the answer.