We are given:
Parallelogram CDEF∠C = 13x - 10∠D = 5x + 10To Find: ∠E
Concept Used:
Adjacent angles of a Parallelogram are SupplementaryFinding the value of 'x':
Since adjacent angles of a parallelogram are Supplementary:
∠D + ∠C = 180
5x + 10 + 13x - 10 = 180 [replacing the values of angle C and D]
18x = 180
x = 10 [dividing both sides by 18]
__________________________________________________________
Finding Measure of Angle D:
We are given that:
∠D = 5x + 10
∠D = 5(10) + 10 [since x = 10]
∠D = 60°
__________________________________________________________
Finding the measure of ∠E:
∠D and ∠E are Adjacent angles
Since Adjacent angles are Supplementary:
∠D + ∠E = 180
60 + ∠E = 180
∠E = 120° [subtracting 60 from both sides]
Hence, the measure of ∠E = 120°
Find the errors and identify them
1. (x) (Ew) (y) (Abaxwy v (Ez) Bzzxy) p
2. ~Abaawc p
3. (Ew) (y) (Abaawy v (Ez) Bzzxy) UI, 1
4. (y) (Abaawy v (Ez) Bzzxy) EI, 3
5. Abaawc v (Ez) Bzzxy UI, 4
6. (Ez) Bzzxy DS 2,5
7. Byyxy EI, 6
8. (x) Byyxy UG, 7
9. (x) Byyxy v ~Axxaabb ADD 8
10. (Ez) ( (x) Byyzy v ~ Azzaabb) EG, 9 g
Answer:
this is confused me so much is it supposed to be a trick or is that a actual question-
in the given figure, the side BC is produced to
the points o and E both sides. Prove that
ABE + ACD+ BAC = 180
You use a line of best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data set is -0.015. Can you be confident that your predicted value will be reasonably close to the actual value?
a. Yes, because the correlation is close to zero, it is strong.
b. Yes, No, because the correlation is close to zero, it is strong.
c. No, because the correlation is close to zero, it is weak.
d. No, because the correlation is negative, it is weak.
Answer:
Following are the solution to this question:
Step-by-step explanation:
For this set, the correlation coefficient is = -0.015.
It shows that financial variables have trust issues. Once a price rises, the other one is decreasing the value of -0,015 shows, that there are several fewer associations in the set of data among x and y and between y values. This interaction also can range between -1 to 1, to 0 being completely unrelated. But you'd never be sure, in this situation, 0.015 is very similar to 0.
It means that your prediction is nothing better than just a wild choice. Its odds of an estimated value being relatively close to the actual result are therefore much smaller as the points are it's hardly the best match.
if anybody could answer this; please do!
Answer:
2
Step-by-step explanation:
cause
Answer:1,036
Step-by-step explanation:I did this in my head lol tell me if it’s wrong tho
Select the create a description for the expression
Answer:
i think its a
Step-by-step explanation:
the x+3 is the sum and ofc the number is the number
which expession is equivalent to negative 2 1/4 over nagative 2/3
Answer:
Ahhhhhjhhhjhhhh
Step-by-step explanation:
How that helps ;)
Which statement about graphs and their inverse is true?
Determine whether the functions f(x) = -7/5x +4/5 and g(x) = x – 4 intersect at x = 2.
A.No, because f (2) #g(2) when r =
B. No, because f (0) = 9(2) when I = 2.
C. Yes, because f(x) + 9(2) when r = 2.
D. Yes, because f(x) = 9(2) when I = 2.
Answer:
D. Yes, because f(x) = g(x) when x = 2.Step-by-step explanation:
Given the functions f(x) = -7/5x +4/5 and g(x) = x – 4, for the functions to intersect, f(x) must be equal to g(x) i.e f(x) = g(x) at x = 2
-7/5x +4/5= x- 4
If x = 2
f(2) = -7/5 (2)+ 4/5
f(2) = -14/5 + 4/5
f(2) = -10/5
f(2) = -2
g(x) = x - 4
g(2) = 2-4
g(2) = -2
Since f(2) = g(2), hence the lines intersects at x = 2
Answer: abidemiokin is ritgh
Step-by-step explanation:
1. Write the postulate that confirms each statement.
Step-by-step explanation:
1. Angle GFH and Angle KFH forms linear pair
and hence they are supplementary
( sum of the angles = 180° )
What is the prime factorization of 48?
Answer:
2x2x2x2x3
Step-by-step explanation:
Write the formula to calculate the area of a triangle whose sides are unequal in length
Answer:
√S(S-A)(S-B)(S-C)
Step-by-step explanation:
S=(A+B+C)\2
where S= semi-perimeter
A,B and C are unequal length of triangle.
Answer:
the formula to calculate the area of a triangle whose sides are unequal in length is A=hb b/2
The governor of state A earns $48,980 more than the governor of state B. If the total of their salaries is $289,660, find the salaries of each
Answer:
Governor of State B: $120,340; Governor of State A: $169,320
Step-by-step explanation:
For the sake of this problem, let's set the salary of State B's governor as x. That would make the salary of State A's governor equal to x+48980. The following lists out how to solve this problem.
Governor B salary + Governor A salary = $48980
x+x+48980=289660
2x+48980=289660
2x=240680
x=120340
120340+48980=169320
BRAINLIEST IF CORRECT HURRY
Which statements represent the relationship between y=3x and y=log3x ?
a. The graphs of functions are symmetric about the line y = 0.
b. The functions are inverses of each other.
c. The graphs of functions are symmetric to each other over the line y = x.
d. The equation y=log3x is the logarithmic form of y=3x .
2 Answers: Choice B and Choice C
====================================================
Explanation:
Choice A is false because all of [tex]y = 3^x[/tex] is above the x axis. There are no portions below the x axis, which means it cannot possibly be symmetric about the x axis.Choice B is true. The exponential undoes the log, and vice versa. This only works if the bases of the exponential and log are the same. In this case, both are base 3.Choice C is true. To visually find the inverse, we reflect over the line y = x.Choice D is false. Converting [tex]y = 3^x[/tex] to logarithmic form leads to [tex]x = \log_3(y)[/tex]. So you'll need to swap the x and y.Solve #13 & #14 please ASAP!!!
Answer:
4th test is a great
Step-by-step explanation:
ok is the for this year as a family
NEED HELP ASAP!!!! WILL MARK BRAINLIEST!!!!!
Which statement best compares the rate of change of the two functions?
O The rate of change of both functions is 2
O The rate of change of both functions is 3.
O The rate of change of function A is greater. than the rate of change of function B.
O The rate of change of function B is greater than the rate of change of function A.
Answer: The rate of change is 2
Step-by-step explanation:
Divide the Y by X for each of them and they all are 2
The lines below are parallel if the slope of the solid line is 4,what is the slope of the gas line?
Answer:
We conclude that the parallel lines are equal and the slope of the gas line is:
m₂ = 4Step-by-step explanation:
We know that the lines are parallel if the slope of both lines is equal.
In other words,
If m₁ = m₂, then the lines will be parallel.Now,
Given that the slope of the solid line = m₁ = 4
As the parallel lines have equal slopes.Thus,
The slope of gas line = m₂ = 4
as
m₁ = m₂
Therefore, we conclude that the parallel lines are equal and the slope of the gas line is:
m₂ = 4Gene paid a deposit on a leased car. The deposit earns 2.8 percent simple annual interest. At the end of the year, the interest that is earned is $22.40. What was the amount of the original deposit?
Answer:
The original amount was: P = $800
Step-by-step explanation:
Given
Interest I = $22.40
Interest rate = r = 2.8% = 0.028
time t = 1 year
Using the interest formula
I = Prt
I = InterestP = Principle or initial valuer = interest rate t = time (years)substituting the values
I = Prt
22.40 = P (0.028) (1) ∵ I = 22.40, r = 2.8% = 0.028, t = 1
P = 22.40 / 0.028
P = $800
Therefore, the original amount was: P = $800
it's D (800.00)
HAVE A NICE DAY
sin θ = 12/37. Find tan θ.
Answer:
B
Step-by-step explanation:
Use SOHCAHTOA.
sinθ = [tex]\frac{opposite}{hypotenuse}[/tex]
Opposite side length= 12
Hypotenuse length = 37
Find the adjacent side length (b) using the Pythagorean theorem.
[tex]12^2 + b^2 = 37^2[/tex]
b = 35
tanθ = [tex]\frac{opposite}{adjacent}[/tex] = 12/35
Choice B is the correct answer.
Answer:
Step-by-step explanation:
using sin inverse rule to get theta
[tex]sin^{-1} (\frac{12}{37} ) =18.9246[/tex] <---- theta
so tan(18.9246) =12 /35
Find the mean, median, and mode of the data set 8 2 7 2 6 5
Answer:
Mean is 6, median 5.5, mode 2
Step-by-step
Answer:
mean=8+2+7+2+6+5
=30
30÷6=5
note: divide the total with it's sum.
median=7+2
=9
9÷2= 4.5
note: median is the middle no. since there is no middle no. so just add those two no. and divide it by 2.
mode= 2
since it occurs twice
How does the graph of g(x)=4⌊x⌋ differ from the graph of f(x)=⌊x⌋?
This is another way of saying "the graph of g(x) is 4 times taller compared to f(x)".
Recall that anything of the form g(x) = k*f(x) will basically stretch f(x) vertically by a factor of k, where k is any real number. This is because y = f(x) and k*f(x) will move the y coordinate k times further away. For 4*f(x), the y coordinate is moved 4 times further away. Do this for every point, and you'll have the vertical stretch mentioned earlier.
a number that can be written as a fraction of two integers is called ___ number. it has decimal presentation that termite or repeats
Answer:
it is called an irrational number
Step-by-step explanation:
I think that this is a fact answer, so I don't know how to explain it
simplifyyyyyyyyyyyyyyyyyy
Answer:
Step-by-step explanation:
x^2 - 11x + 30 = (x - 6)(x - 5)
x^2 - 4 = (x + 2)(x - 2)
x^2 + 3x - 40 = (x + 8)(x - 5)
x - 2 = x - 2
Invert and multiply the right fraction.
(x - 6)(x - 5) (x - 2)
=========== x =======
(x - 2)(x + 2) (x + 8)(x - 5)
x - 5 on the top cancels with x - 5 on the bottom
x - 2 on the top cancels with x - 2 on the bottom left
So what's left?
(x - 6)
===============
(x + 2)(x + 8)
This is likely the answer.
Answer:
[tex]\frac{x-6}{x^{2} +10x+16}[/tex]
Step-by-step explanation:
to much to explain
The baker pays $0.60 per pound for sugar and $1.35 per pound for butter. Which expression shows how much the baker will spend
if he buys 4 pounds of butter and 10 pounds of sugar?
I need help with my math homework
Answer:
1/3
Step-by-step explanation:
Answer:
m=3
Step-by-step explanation:
m= 7-1= 6
5-3= 2
then you simplify
3
m= 1 which also equals 3
I am not very good at explaining on this but i hope this helps :)
There are 48 candies in a pack. Twelve are red. 18 are yellow. What is the ratio of reds to yellows?
Answer is 5:3
This means the ratio of reds to yellows is 5 to 3
=========================================================
Work Shown
We have 48 candies total and 18 yellow. This means there are 48-18 = 30 red assuming there are no other colors.
The ratio of red to yellow is 30:18. We simply list the number of reds (30), followed by a colon, then the number of yellows.
(number of red):(number of yellow)
The order is important. We cannot swap the items. This is because "reds to yellows" in the instructions has "red" come first.
Once you have the ratio 30:18, you divide both parts by the GCF 6 and you'll end up with the final answer 5:3
So for every 5 red candies we have 3 yellow candies. We can say "the ratio of reds to yellows is 5 to 3".
3/2x+5=-3x-3 what is the value of x?
There are 5 students in Mrs. Templeton's art class. Each student has 2 paintbrushes on his desk. Which of the following shows how to find the total number of paintbrushes in the classroom?
A line has a slope of -1/8 passed through the point 5,10
Answer:
what i do not know what i am on
Step-by-step explanation:
can someone show me how to do ones like this two
Aaliyah is working two summer jobs, making $7 per hour walking dogs and making $10 per hour tutoring. In a given week, she can work no more than 17 total hours and must earn no less than $140. Also, she must work at least 2 hours walking dogs and at most 13 hours tutoring. If xx represents the number of hours walking dogs and yy represents the number of hours tutoring, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
140 >/ 7x + 10y (read as 140 is greater than or equal to 7x plus 10y)
x + y /< 17 - to represent the number of hours she can work
she will work at least 10 hours walking dogs and at least 7 tutoring
Step-by-step explanation: