In parallelogram DEFG D=(5x-8) and E=(3x+28). How many degrees is F
In parallelogram DEFG, angle F measures 92°
A parallelogram is a quadrilateral in which opposite sides are equal and parallel to each other.
In parallelogram DEFG:
∠D + ∠E = 180° (Consecutive angles are supplementary)
(5x - 8) + (3x + 28) = 180
8x + 20 = 180
8x = 160
x = 20°
∠D = 5x - 8 = 5(20) - 8 = 92°
∠D = ∠F = 92° (Opposite angles are congruent)
In parallelogram DEFG, angle F measures 92°
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The angle of F in degrees is 92°
Adjacent angles of a parallelogram are supplementary.
Therefore,
Therefore,
5x - 8 + 3x + 28 = 180
8x + 20 = 180
8x = 180 - 20
8x = 160
x = 160 / 8
x = 20
Angle F is an opposite angle to angle D. Therefore,
∠D = ∠F
5x - 8 = 5(20) - 8 = 100 - 8 = 92°
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Choose which diagram shows the correct markings of the sides and angles of the following congruent triangles.
Answer:
D IS THE CORRECT ANSWERRR
Step-by-step explanation:
IN DIAGRAM D
G = Q
I = R
H = S
SO, THEY ARE SIMILAR
i need this answer answered for me asap
Answer: i think it's A or D
Step-by-step explanation:
Answer:
A) x > -6
Step-by-step explanation:
X is bigger than negative 6 since the arrow of the number line is pointing to the positive numbers then that means x is one of the positive numbers.
PLEASE HELP The mean life expectancy of a certain type of light bulb is 860 hours with a standard deviation of 22 hours.
What is the approximate standard deviation of the sampling distribution of the mean for all samples with n = 65?
0.34 h
0.75 h
2.73 h
2.95 h
Answer: The correct answer is: 2.73 h.
Step-by-step explanation:
I hope this helps! :)
[tex]\sf 6-2x+5+4x[/tex]
Last one! bye!
Thanks!
[tex]\sf 6-2x+5+4x[/tex]
[tex]\sf \longmapsto - 2x + 4x + 6 + 5[/tex]
[tex]\sf \longmapsto - 2x + 4x + 11[/tex]
[tex]\sf \longmapsto2x + 11[/tex]
A different toy store marks down all
of their toys by 25% in January.
How much does a $50 remote
controlled car cost during January's
sale?
Answer: $ 37.50
Step-by-step explanation:
$50.00 x 25% = 12.50
$50.00 - $12.50 = $37.50
Noah earns $9.65 per hour. How much will he
earn next week if he works 18 hours?
Answer:
$1215.90
Step-by-step explanation
You take Noah's pay per hour of $9.65 then multiply it by how many hours he works 18. You then take that and multiply it by 7 for the days of the week.
14. Which of the following relations has an inverse that is not a function?
(1,1),(1,2).(3,4)
(1,2).(1,3),(4,3)
(1,4),(4,5),(5,6)
(0,0),(1,1),(2, 2)
Answer:
(1,2).(1,3),(4,3)
Step-by-step explanation:
The inverse of (1,2).(1,3),(4,3) is (2, 1), (3, 1), (3, 4) and this is not a function as a function is a set X to a set Y, not multiple to one.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Halppppppppppppp..............
Answer:
1 2/3, and -1 2/3
Step-by-step explanation:
Im wondering how old you are, and since you seem young just based off the math you're asked to do, please listen to the explanation and teach yourself this. This skill in particular is SOOO important to the rest of the math world. So since your number line is already divided into thirds, there are two ways you could find your answer. One, you can count 5 thirds away from zero, or two, you could simplify 5/3 from an improper fraction to a mixed number (1 2/3) and find your spot from there. "and the opposite" means not only the point 5/3 Away from zero on the Right, but also 5/3 away from zero on the Left. start from zero again and count the same amount away but in the opposite direction. With negatives it can help to think of how all numbers are just descriptions of how far left or right a number is from zero. i hope this helped lol, negatives are a confusing batch, but they're so so important to math as a whole.
Rewrite each of the following expressions without using absolute value.
a) |a| if a>0
b) |2b| if b<0
c) |c| if c <0
d) |3c| if c≥0
Answer:
a) answer is "a"
b) answer is "-2b"
c) answer is "-c"
d) answer is "3c"
Step-by-step explanation:
Absolute value is positive value of something.
a>0 then a must be positive so absolute value means nothing if a is already positive. Therefore answer is a.
b<0, so b must be negative. absolute value makes 2b positive but you know b is negative so answer is -2b.
c<0 same as a except sign is flipped so answer is negative instead of positive.
c>=0, C is either 0 or positive so absolute value does nothing yet again so answer is just 3c.
Sorry is explanation wasn't through i'm only in middle school
a. | a | > 0, a is greater than and less than zero.
b. | 2b | if b < 0, b is not less than zero not greater than zero.
c. | c | if c < 0, c is not less than zero not greater than zero.
d. | 3c | if c ≥ 0, c is greater than zero and less than zero.
What is an absolute value function?We know the absolute value function of the modulus function always outputs a positive value irrespective of the sign of the input.
In piecewise terms | x | = x for x ≥ 0 and | x | = - x for x < 0.
Given,
| a | > 0
∴ a is greater than and less than zero.
| 2b | if b < 0
b is not less than zero not greater than zero.
| c | if c < 0
c is not less than zero not greater than zero.
| 3c | if c ≥ 0.
c is greater than zero and less than zero.
learn more about modulus functions here :
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Which graph is right?
Answer:The first option is correct
Step-by-step explanation:
Answer:
3rd option
Step-by-step explanation:
3rd option because m is bigger than or equal -2 which means that it is going to be from [-2,infinity[
yefgfsugsuifdsgsdhgsfjhdgjdhgskhb
Write the prime factorization of 315.
315 =
(TRY TO ANSWER THIS WHILE UR AT IT PLS?
Answer:
315 = 3^2 × 5^1 × 7^1
Step-by-step explanation:
answer the three questions pls
Me podrian ayudar con estas equaciones de 2º grado pliss?
[tex]x^{2} +2x-15=0[/tex]
[tex]x^{2} -4x- 12=0[/tex]
Thankss
Step-by-step explanation:
Las ecuaciones dadas son ,
=> x² + 2x -15 = 0
Y necesitamos encontrar la solución de la Ecuación dada.
=> x² + 5x -3x -15 = 0
=> x(x+5) -3(x+15) = 0
=> (x+5)(x-3) = 0
=> x = 3,-5
La segunda ecuación es,
=> x² -4x -12 = 0
=> x² -6x+2x-12=0
=> x(x-6)+2(x-6) = 0
=> (x+2)(x-6) = 0
=> x = 6,-2
Espero eso ayude :)
find the length of segment AB
Answer:
E. 214
Step-by-step explanation:
Since the other angles of the triangle are congruent, and separated creates 2 right triangles, this means that segment (because i cant put the actual names for some reason) A to F and segment F to B are equal
8x - 37 = 5x + 17
3x = 54
x = 18
Now substitute to check
8(18) - 37 = 5(18) + 17
107 = 107
So if this is true, to find the segment A to B, just add segments A to F and F to B together
107 + 107 = 214
The length of segment AB is 214
a rule in a relation in which each input is paired with, or assigned to, exactly one output.
Answer:
Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
Step-by-step explanation:
what is the point in the middle of a circle called
Answer:
Step-by-step explanation:
Center: The center of a circle is defined as the point in the middle of the circle. The points that make up the curve that is the circle are all equidistant from the center point.
Answer:
Center of the circle.
Step-by-step explanation:
there are 5 crayons 4 pencils and 6 erasers. what is the number of crayons to total school supplies
Answer:
5 crayons to 15 school supplies
Step-by-step explanation:
since its supplies in general, add 5 crayons, 4 pencils, and 6 erasers to get 15 total
right now michael earns an annual salary of $46,023 he is Considering a job offer with an annual salary of $51,145 what is the difference in the monthly pay for these two jobs rounded to the nearest cent
Answer: The job pays $32,400 per year, and the agency fee is equal to 45% of one month's pay.
Find the slope of the line that passes through (7,1) and (6,8)
Answer:
-7
Step-by-step explanation:
[tex]\frac{(8-1)}{(6-7)}[/tex] = [tex]\frac{7}{-1}[/tex] = -7
HOW TO COUNT BY 5 AND 10 'S HOW TO COUNT BY 20 AND A WHAT IS 9-4 AND 5-7
PLEASE HELP I DONT UNDSRSTANT
Answer:
B. 28.5
Step-by-step explanation:
Before you can use the Law of Sines, you need to know the measure of angle C. The sum of angles in a triangle is 180°, so you have ...
A + B + C = 180°
C = 180° -A -B = 180° -32° -25° = 123°
The Law of Sines tells you ...
c/sin(C) = a/sin(A)
c = sin(C)·a/sin(A) = sin(123°)·18/sin(32°)
c ≈ 28.5
_____
Additional comment
The law of sines says the ratio of a side length to the sine of the opposite angle is a constant for any given triangle:
a/sin(A) = b/sin(B) = c/sin(C)
In order to use this relationship, you need to have a side length and its opposite angle. If you're solving for a side length, as here, you need to know the angle opposite that side.
This problem gives you side 'a' and angle A, and it asks for side 'c'. That means you need to know angle C, which we found as part of our solution.
I need help with question 5
Answer:Hi!
where is the question?
Step-by-step explanation:
Please help me with this
Step-by-step explanation:
such an equation is a simple linear function :
y = ax + b
b is in this case the flat fee, and a (the slope) drives the incline of the function for various numbers of students x.
our job is now to find the correct a and b values.
we do this by using the informative we have and create 2 equations for a and b, and then we solve this system.
132.5 = a×25 + b
145 = a×30 + b
now, we can use a little trick and simply subtract the whole first equation from the second equation.
145 = a×30 + b
- 132.5 = a×25 + b
------------------------------
12.5 = a×5 + 0
5a = 12.5
a = 2.5
with this we go into one of the original equations, e.g. the second one :
145 = 2.5×30 + b = 75 + b
70 = b
so, it full equation is
y = 2.5x + 70
the costs for 85 students are
y = 2.5×85 + 70 = 212.5 + 70 = $282.50
Solve.
−5x+6=−4(2x−1)
x=−14/3
x=−10/13
x=−2/3
Answer:
x=-2/3
Step-by-step explanation:
The perimeter of a rectangle is 30 inches. If the length of the rectangle is 10 inches, which equation could be used to find the width of the rectangle "w" in inches
Answer:
30=2(10 x w)
Step-by-step explanation:
P=2(l x w)
Perimeter(P) equals two times length(l) times width(w)
Hope this helps
help ? yes ? no ? maybe ?
Answer:
They are proportional
Step-by-step explanation:
Proportionality:
They are proportional because the cost is going up by 10 the entire time and the hours rented is going up by 2 the entire time.
Graphing:
Go to the 2 on the x-axis (horizontal line)
Go up to the 20 on the y-axis (vertical line)
The points to graph are:
(2,20)
(4,30)
(6,40)
(8,50)
I put a pic of what your graph should look like below!
Answer:
To plot the graph put the hours along the x axis and the cost on the y axis. Its a positive realationship because when the hours go up the cost goes up to, it isn't proportional because both values don't go up at the same rate.
Step-by-step explanation:
4.
Which of the following is the minimum value of the equation y= 1/3x^2 + 2x + 5?
A. 1/3
B. -3
C. 2
D. 5
Answer:
C. 2
Step-by-step explanation:
Use the formula
x = − b /2 a
to find the maximum and minimum.
( − 3 , 2 )
r(2)=120 and r(4)=378 divide the difference in the r(x) values by the difference in the x-value
Answer:
im not sure ask siri
Step-by-step explanation:
she knows everything
a purple paint mixture calls for 4 pints of blue paint for every 3 pints of red. how many pints of blue paint do you need,if you use 6 pints of red?
Answer:
You will need 8 pints of blue paint!
Step-by-step explanation:
At the first the problem shows us the purple paint mixture needs 4 pints of blue and 3 pints of red if the red has 6 pints which is doubled you should also double the blue paint! Hope this helps please mark the brainliest it means a lot to me and thanks! <3
Answer:
8 pints
Step-by-step explanation:
The purple paint mixture needs 4 pints of blue and 3 pints of red, and if the red paint has 6 pints that is doubled. You should also double the blue paint.
The explains how the answer is 8
now, this katie girl stop deleting my answer-