Answers
Step-by-step explanation:
Angle c + angle d = 180° ( linear pair)
given,
angle c = 5x + 9
angle d = 5x - 6
now,
5x + 9 + 5x - 6 = 180
10x + 3 = 180
10x = 180 - 3 = 177
10x = 177
x = 177/10 = 17.7
so,
angle C = 5x + 9 = 5(17.7) + 9 = 97.50°
angle D = 5x - 6 = 5(17.7) - 6 = 82.50°
Hope this answer helps you dear! take care!.
Related Questions
2. Graph each inequality on a number line:
5x + 15 < 0
Answers
Answer:
x < -3
Step-by-step explanation:
1. To put this inequality on a number line, we first must solve it.
Step 1: Subtract 15 from both sides.
[tex]5x + 15 - 15 < 0 - 15[/tex] [tex]5x < -15[/tex]Step 2: Divide both sides by 5.
[tex]\frac{5x}{5} <\frac{-15}{5}[/tex] [tex]x < -3[/tex]2. Now that we know x < -3, let's graph it!
Since it's less than, we make the number line point to the left, and we make the circle open.PLEASE HELP MEEEEEEEE
Step 6: Problem solving with presents
a) If the sales tax is 7% on all purchases, how much must you set aside for sales tax on $300? Show your work. (2 points)
Answers
$300x0.07=$21
$300 of 7% sales tax is $21
$300+$21=$321 total purchase
We need to use 60 yards of fencing to enclose a rectangular shaped garden the length is 30 yards less than twice the width. Find the dimensions of the garden.
Answers
Answer:
W = 16 2/3 yards
L = 3 1/3 yards
Step-by-step explanation:
A rectangle will consist of two sides with length L, and two more sides with length W. Area will be W*L.
We are told that L is 30 yards less than 2W:
L = 2W - 30
We also learn that we have 60 yards of fencing for the perimeter, which is 2L + 2W.
Therefore, we can write: 2W + 2L = 60 yards.
I see the words "need to use," so I must conclude that all of the fencing must be used. This sounds like a domestic issue.
Let's use L=2W-20 in the equation 2W + 2L = 60:
2W + 2L = 60
2W + 2(2W-20) = 60
2W + 4W-40 = 60
6W =100
W = (100/6) = 16 2/3 yards
L = 2W - 30
L = 2(16+(2/3)) - 30
L = 33 1/3 - 30
L = 3 1/3 yards
===============
Is the length 30 yards less than twice the width?
2W = 33.33
33.33 - 3.33 = 30 yards YES
The formula to convert degrees Fahrenheit to degrees Celsius is: 'C = (5/9) ('F -32). The formula to convert degrees Celsius to degrees Fahrenheit is: 'F = 1.8 ('C) + 32. Using any of these formulas, determine, for what temperature the value of it in degrees Celsius is represented by the same number as its value in degrees Fahrenheit. Show your work. HINT: use either of those two equations, use x for 'C and use x for 'F, and solve it for x. The solution will be the answer to the problem (because the temperature is the same, and its numerical value in degrees Celsius in this case is the same as its number value in degrees Fahrenheit). *
Answers
Step-by-step explanation:
5/9 × (x - 32) = 1.8 × x + 32 = 9/5 × x + 32
5×(x - 32) = 9×9/5 × x + 32×9
5×5×(x - 32) = 9×9×x + 32×9×5
25x - 32×25 = 81x + 32×45
32×(-25 - 45) = 56x
4×(-70) = 7x
x = 4×(-10) = -40
-40° is the same temperature in Celsius and in Fahrenheit.
Find the solution(s) for x in the equation below.
x2 – 25 = 0
Answers
Answer:
x=5,-5
Step-by-step explanation:
Please help this is due on Monday! Will give brainliest!!!!
Answers
Answer:
The awnser in the first option. A
how do I do this question?
Answers
Answer:
x = (y +2)/3
Step-by-step explanation:
y= 3x-2
y+2=3x
x=(y +2)/3
If the length of the rectangle measures (2x -4) cm and the width measures (3x) cm, what is the area of the rectangle in terms of x?
pls ANSWER THIS CORRECTLY WITH A COMPLETE SOLUTION
Answers
[tex]\large\huge\green{\sf{Given:-}}[/tex]
length of the rectangle= (2x-4)cmbreadth of the rectangle =3x cm[tex]\large\huge\green{\sf{ToFind:-}}[/tex]
Area of triangle=??[tex]\large\huge\green{\sf{FormulaRequired:-}}[/tex]
Area of rectangle= lxb[tex]\large\huge\green{\sf{Solution:-}}[/tex]
➡Area of rectangle= lxb
➡Area of rectangle= (2x - 4) x (3x) cm²
➡Area of rectangle= 6x²-12x
7 1/3 x 7/11
simplify the answer completely and change to a mixed number
Answers
Answer:
Hello There!
Your question says that
[tex]7 \frac{1}{3} \times \frac{7}{11} [/tex]
Now lets convert mixed fraction to improper fraction
[tex]7 \frac{1}{3} \\ \\ so \: 7 \times 3 + 1 = 22 \\ \\ so \: \frac{22}{3} [/tex]
Now let's simplify..
[tex] \frac{22}{3} \times \frac{7}{11} \\ \\ [/tex]
Now simplify 22 and 11 so it will look like
[tex] \frac{2}{ 3} \times \frac{7}{1} \\ \\ multiply \: \frac{2 \times 7}{3 \times 1} \\ \\ = \frac{14}{3} [/tex]
Now lets convert it to mixed fraction...
[tex] \frac{14}{3} = 4 \frac{2}{3} \\ \\ [/tex]
So it is the answer
[tex]4 \: \frac{2}{3} \\ \\ [/tex]
I hope it is helpful to you..Cheers!______The product of the two given fraction is [tex]4\frac{2}{3}[/tex].
The given fractions are [tex]7\frac{1}{3}[/tex] and [tex]\frac{7}{11}[/tex].
Product of two fractions = Product of their numerators / Product of their denominators.
Here, [tex]7\frac{1}{3}[/tex] × [tex]\frac{7}{11}[/tex]
= [tex]\frac{22}{3} \times\frac{7}{11}[/tex]
= [tex]\frac{2}{3}\times\frac{7}{1}[/tex]
= [tex]\frac{14}{3}[/tex]
In mixed fraction [tex]4\frac{2}{3}[/tex]
Therefore, the product of the two given fraction is [tex]4\frac{2}{3}[/tex].
To learn more about the product of two fractions visit:
https://brainly.com/question/7335118.
#SPJ6
number 4 plssss!!!!!!!!!!
Answers
Answer:
AB = 21
Step-by-step explanation:
Tales' theorem
[tex]\frac{12}{14} =\frac{18}{AB}[/tex]
[tex]AB=\frac{(14)(18)}{12}[/tex]
[tex]AB=21[/tex]
Hope this helps
(i)Given that:
AE || BD
AB = ? [Let AB be x]
BC = 3
ED = 12
DC = 4
We know that
By Basic Proportionality Theorem,
AB/BC = ED/DC
On substituting these values in the above formula
⇛ AB / 3 = 12 / 4
On applying cross multiplication then
⇛ x(4) = (12)3
⇛ 4x = 36
Shift the number 4 from LHS to RHS.
⇛ x = 36÷4
⇛ x = 36/4
Therefore, AB = 9
Answer: The value of AB for the given problem is 9.
Similarly,
(ii) Given that:
EB || DC
AE = 14
ED = 12
AB = ? [Let AB be X]
BC = 18
We know that
By Basic Proportionality Theorem,
AE / ED = AB / BC
On substituting these values in the above formula
⇛ 14 / 12 = x / 18
On applying cross multiplication then
⇛ 14(18) = (12)x
⇛ 252 = 12x
Shift the number 252 from LHS to RHS.
⇛ X = 256÷12
⇛ X = 21
Therefore, AB = 21
Answer: The value of AB for the given problem is 21
Additional comment:
Basic Proportionality Theorem
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lus
Suppose that y varies directly with x
and y = 10 when x = 20. What is y
when x = 15?
Enter your answer as a simplified fraction.
y =
Answers
Answer:
15/2
Step-by-step explanation:
y varies directly as x can be written as:
y & x
y = Kx
K = y/x
But from the question, we were told that:
y = 10
X = 20
K = y/x
K = 10/20
K = 1/2
The formula for the expression is:
y = Kx
y = 1/2 x
Now let us solve for y, when:
x = 15
y = 1/2 x
y = 1/2 x 15
y = 15/2
Answer:
When x = 15, y = 15/2
Step-by-step explanation:
Formula: "y varies directly with x" comes out to y = kx symbolically.
Find the value of the constant of proportionality, k: If y = 10 when x = 20, then this relationship becomes 10 = 20k, and k = 1/2.
Then the formula is y = (1/2)x.
When x = 15, y = 15/2
Your friend has $100 when he goes to the fair. He spends $10 to enter the fair and $29 on food. Rude lady at the fair cost $2 per rude. Which function can be used to determine how much money he had left over after x rides?
Answers
Answer:
y=-2x-39
Step-by-step explanation:
Answer:
100=39+2x
Step-by-step explanation:
hoped that hedlp:P
you roll a die 100 times and a six shows up 74 times out of 100. based on these outcomes, what is the estimated probability that the next roll shows up as a six?
Answers
given the polynomial 6x^4+3x^3-7x^2+4x+5 choose all the following statements that are true?
A. The polynomial has a degree of 6
B. The polynomial has a leading coefficient of 4
C. The polynomial has 4 terms
D. The polynomial has a degree of 4
E. The polynomial has a leading coefficient of 6
Answers
Answer:
D and E are true
Step-by-step explanation:
The degree of a polynomial is the value of the largest exponent of the variable within the polynomial, that is the term
6[tex]x^{4}[/tex]
Thus the polynomial is of degree 4 → D
The leading coefficient is the coefficient of the variable with the largest exponent, that is
6[tex]x^{4}[/tex]
The leading coefficient is 6 → E
helppppppppppppppppppppppppppppp
Answers
Answer:C
Step-by-step explanation:
I seraph it up
Latisha works x hours a day.
No. of hours Demetrius works = x+1 a day.
No. of working days a week = 5
No. of hours Demetrius works weekly =
= 5(x+1)
which can also be written as 5x+5
So the c option is correct.
If (-2,11) and (9,22) are two
anchor points on the trend line,
then find the equation of the line.
y = [ ? ]x + [
Answers
Answer:
The equation of the line is- y = x + 13
Determine whether the graph represents a function. *
Answers
Answer:
Not a function
Step-by-step explanation:
There are two points that correspond to the same variable
Hope this helps
Answer:
not a function
Step-by-step explanation:
There are two points that have the same x and different y values
This would fail the vertical line test.
6 divided by 4 write your answer in a decimal form
Answers
Answer:
1.5
Step-by-step explanation:
Four goes into six once, then four goes into 20 5 times
what regular polygon has an interior angle of 156 degrees
Answers
Answer:
regular pentadecagon
Step-by-step explanation:
it has 15 sides
that is what matches the exterior angled sum property - 360degree
let me explain it
1 side = 180 - 156 = 24
360/24 = 15
mark me brainliest and thank me if you like the answer
Find the equation of a line that passes through the point (-4,1) and has a gradient of 2.
Leave your answer in the form
y=mx+c
Answers
Solve 4,200 ÷ 70 = ________. Rewrite as a fraction to help you.
Answers
take out a zero on both top and bottom
420/7
Simplify
= 60
Hope this helps!
Brainliest and a like is much appreciated
where dp you see yourself in the future?
Answers
Answer:
Happy
Step-by-step explanation:
What is the measurement of pie?
Answers
Answer: 3.14159
Step-by-step explanation:
Y=-3x+1 y+5=-3(x-2) what do the following two equations represent A)The same line B)Distinct parallel lines C)Perpendicular Lines D)Intersecting, but not perpendicular lines
Answers
Answer:
C) perpendicular lines
what is .9 repeating as a fraction
Answers
There is no answer to this because:
Any digit repeating like that would usually be ?/9
Example: 0.1 repeating = 1/9
0.2 repeating = 2/9
0.8 repeating = 8/9
But 0.9 repeating? There should not be a fraction for that.
If you want to round up to 1, you can.
ANSWER IT!!! I ONLY HAVE MINUTES
Answers
Answer:
D
Step-by-step explanation:
5 + n is the sum of 5 and a number
amd then "less than or equal to -7" represents the no more than -7
Answer:
D
Step-by-step explanation:
To the moderator that deleted my answer, that was not necessary in the slightest. Go back to reporting bots, not removing correct answers that are put there to help people
Megan works at Amazon’s warehouse. She is responsible for packing boxes into trucks for shipment. Each truck can hold 22 boxes, and she needs to ship 539 boxes total.
Megan thinks she can fit all 539 boxes into 24 trucks. Is her estimate correct? Why or why not?
How many trucks will Megan need to pack all 539 boxes? (show work )
Answers
Answer: Her estimate is incorrect because she has to have 25 trucks to be able to ship all her boxes.
Step-by-step explanation: Divide 539 by 22 and if there is a remainder then you need to have one more because you cant take half a truck.
539/22=24.5. Since there is a remainder, you will need 25 trucks total
Write as a single fraction in its simplest form.
Answers
[tex]\dfrac{4}{3x-5} + \dfrac{x+2}{x-1}\\\\\\=\dfrac{4(x-1) + (x+2)(3x-5)}{(3x-5)(x-1)}\\\\\\=\dfrac{4x-4 + 3x^2 -5x +6x -10}{(3x-5)(x-1)}\\\\\\=\dfrac{3x^2 +5x-14}{(3x-5)(x-1)}[/tex]
25.4 as mixed number
Answers
Answer:
6.25
Step-by-step explanation:
I believe you were trying to put a fraction in but accidentally pressed the period.
25/4
6 1/4
6.25
Answer:
25 2/5
Step-by-step explanation:
Hope it's right and it helps.
Check whether (19/9, 15/3) is
a solution of the equation 3a + b = 8 or
not where (a,b) is co-ordinate point.
Answers
Answer:
No, it is not a solution to the equation.
Step-by-step explanation:
If [tex]( \frac{19}{9} , \frac{15}{3} )[/tex] is a solution of the equation, the left-hand side (LHS) of the equation would equal to the right-hand side (RHS) of the equation.
3a +b= 8
When a= [tex] \frac{19}{9} [/tex], b= [tex] \frac{15}{3} [/tex],
LHS
= [tex]3( \frac{19}{9} ) + \frac{15}{3} [/tex]
[tex] = \frac{19}{3} + \frac{15}{3} [/tex]
[tex] = \frac{34}{3} [/tex]
[tex] \frac{34}{3} ≠8[/tex]
Since the left-hand side is not equal to the right-hand side of the equation, [tex]( \frac{19}{9} , \frac{15}{3} )[/tex] is not a solution of the equation.
Given equation is 3a+b = 8
Given point = (19/9,15/3)
Put a = 19/9 and b = 15/3 in LHS of the given equation then
⇛ 3(19/9)+(15/3)
⇛(19/3)+(15/3)
⇛ (19+15)/3
⇛ 34/3 ≠ 0
LHS ≠ RHS
Given point not satisfies the given equation
Therefore, it is not the solution of the given point.
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