Answers
Solution :-
Here, we have been given that lines f and g are parallel. Thus, the angle measuring 135° and ∠2 are vertically opposite angles.
And we know that vertically opposite angles measure same. Thus,
∠2 = 135°
And,
∠2 + ∠6 = 180° ( Co - interior angles sum up to 180° )
135° + ∠6 = 180°
∠6 = 180° - 135°
∠6 = 45°
Now,
we see that ∠6 and ∠5 are making a linear pair of angles, and we know that angles in a linear pair measure 180° Thus,
∠5 + 45° = 180°
∠5 = 180° - 45°
∠5 = 135°
Thus, the value of angle 5 is 135°
Hope that helps. :)
Related Questions
what is the derivative and the slop of the tangent line of f(x)=3x+5 at (1,8)
Answers
Step-by-step explanation:
To find the derivative of
3x+5, apply sum rule
[tex] \frac{d}{dx}(3x + 5) = \frac{d}{dx} 3x + \frac{d}{dx} 5[/tex]
The derivative of
[tex] \frac{d}{dx} kx = k[/tex]
And
[tex] \frac{d}{dx} c = 0[/tex]
So we have
[tex] \frac{d}{dx} 3x + 5 = 3[/tex]
So the derivative of the function is 3,
Since linear equations have a constant slope, the slope at any point will be 3.
So the slope of the tangent line is 3.
Find the value of the expression 1/2x + 3 if x = 12
Answers
Change 1/2 into a decimal, multiply by 12, and then add 3
Step-by-step explanation:
please mark me as brainlest
Solve for b. -36 + 2.5 = 4
Answers
Answer:
False
Step-by-step explanation:
The sides are not equal
2. On the first day of a month, Leann's savings account had $176. During the
month, Leann deposited $198 and spent $160 of her money. What was
Leann's account balance at the end of the month?
⚫️-138 dollars
⚫️534 dollars
⚫️214 dollars
⚫️-182 dollars
Answers
Or
176+198-160
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answers
2x = 180 - 138
2x = 42
x = 21
Step-by-step explanation:
by using formula a+b+c=180
I'LL MARK AS THE BRAINLIEST!!!!! a− (10 − a) = 30
Answers
Answer:
a=20
Step-by-step explanation:
a-10+a=30
a+a-10=30
2a-10=30
2a=30+10
2a=40
a=20
Given the equation of a circle, x^2 + y^2 - 6x + 2y + 1 = 0, find the coordinates of the center and the length of the radius
Answers
Answer:
Center: (3,-1)
Radius: 3
Step-by-step explanation:
Given:
[tex]\displaystyle \large{x^2+y^2-6x+2y+1=0}[/tex]
First, we have to convert the following standard circle equation to this:
[tex]\displaystyle \large{(x-h)^2+(y-k)^2=r^2}[/tex]
where h is horizontal shift, k is vertical shift and r is radius.
That means we have to complete the square for both x-term and y-term.
Rearrange the equation:
[tex]\displaystyle \large{x^2-6x+y^2+2y+1=0}\\\displaystyle \large{(x^2-6x)+(y^2+2y+1)=0}[/tex]
For [tex]\displaystyle \large{y^2+2y+1}[/tex], can be converted to perfect square as [tex]\displaystyle \large{(y+1)^2}[/tex]. Hence:
[tex]\displaystyle \large{(x^2-6x)+(y+1)^2=0}[/tex]
For the x-terms, we have to find another value that can complete the square. We know that [tex]\displaystyle \large{(a\pm b)^2 = a^2 \pm 2ab + b^2}[/tex].
For [tex]\displaystyle \large{x^2-6x}[/tex] can be [tex]\displaystyle \large{x^2-2(x)(3)+3^2 \to x^2-6x+9}[/tex]. So our another value is 9.
[tex]\displaystyle \large{(x^2-6x+9-9)+(y+1)^2=0}[/tex]
From above, we add -9 because the original expression isn’t actual perfect square.
Separate -9 out of [tex]\displaystyle \large{x^2-6x+9}[/tex]:
[tex]\displaystyle \large{(x^2-6x+9)-9+(y+1)^2=0}[/tex]
Transport -9 to add another side:
[tex]\displaystyle \large{(x^2-6x+9)+(y+1)^2=9}[/tex]
Complete the square:
[tex]\displaystyle \large{(x-3)^2+(y+1)^2=9}[/tex]
Finally, we have our needed equation to find radius and center. The coordinate of center is defined as the point (h,k) from [tex]\displaystyle \large{(x-h)^2+(y-k)^2=r^2}[/tex] and the radius is defined as r.
Hence, from the equation:
The coordinate of center is (3,-1) with radius equal to 3.
A square with diagonals is shown. The distance from one point to the middle point is 3. The length from the center point to another point is 3.
What is the approximate side length of the square?
3.0 units
3.5 units
4.2 units
4.9 units
Answers
Step-by-step explanation:
in a square 2 sides with a diagonal creates a right-angled triangle, with the diagonal being the Hypotenuse (the side opposite of the 90° angle).
the diagonal is 3+3 = 6 units long.
let's call the square side length "s".
then we have via Pythagoras
6² = s² + s² = 2s²
36 = 2s²
18 = s²
s = 4.242640687 ≈ 4.2 units
Sally planted 3/8 rows of beans and 1/8 rows of Tyrion’s in a garden. In total how many rows of vegetables did sally plant?
Answers
Answer:
4/8 or 1/2 rows
Step-by-step explanation:
Hope this helps! ^^
Answer for brainliest
25 X 1 =
;)
Answers
The answer is 25
25x1 is 25
anything multiplied by 1 Is itself
Naomi was measuring and cutting yarn in inches for an art project.she cut 9 pieces of the yarn.
Answers
Answer:
i don't know this question but you can just measure it
Brand X rice sells for $70 per kg. Brand Y rice sells for $20 per 400 g. Both brands have similar qualities 8 . Which brand is the better buy? Why do you think so?
Answers
Answer:
Brand Y would have a better deal.
Step-by-step explanation:
Step 1. There are 1,000 grams in 1 kilogram. Knowing this, you can see that it would be $70 for 1,000 grams of rice and $20 for 400 grams of rice.
Step 2. You would have to do 70 divided by 1000 (0.07) and 20 divided by 400 (0.05) to see which has the better deal.
Step 3. Brand X is 7 cents per grain and Brand Y is 5 cents per grain, making Brand Y the better deal. I hope that this helps! :)
Help me please with math for points
Answers
Answer:
The answer is 72
Step-by-step explanation:
because you take the 8 times it by the 9
9×8=72 square³
44. What three-dimensional figure can be made by folding the net?
ASSESSMENT 1
A rectangular pyramid
B. triangular pyramid
C. triangular prism
D. square pyramid
Answers
Answer:
Its B square pyramid
Step-by-step explanation:
Because
As a cold front passed, the temperature dropped steadily
2 degrees each hour. It dropped a total of 10 degrees. How
many hours did it take for the temperature to drop this far?
Answers
Answer:
5
Step-by-step explanation:
because 10 divided by 2 is 5
These numbers are multiples of ________.
6, 18, 24, 36
A) 4
B) 5
C) 6
D) 8
Answers
Answer:
C. 6Step-by-step explanation:
Multiples refer to the way their numbers are counted from 1 to 100.
These numbers are multiples of 6.
Multiples of 6 are:
6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, and 72.Therefore, the correct answer is C. 6.
I hope this helps you! Let me know if my answer is wrong or not.
Answer:
The answer is C.
Step-by-step explanation:
6÷6=1
18÷6=3
24÷6=4
36÷6=6
Solve -5(3n + 4) = 40.
Answers
Distribute the -5
-15n-20=40
-15n=60
n=-4
Pls help im struggling :p
Answers
When creating a histogram it is best to create a range for the different variables that are available.
So for the sake of covering all the possible ranges from 1 - 22, let's divide it into 5 categories.
0 - 5 6 - 10 11 - 15 16 - 20 21 - 25
Now that we have set ranges for the different variables, we then find the frequencies.
0 - 5 : 3
6 - 10 : 2
11 - 15 : 3
16 - 20 : 1
21 - 25 : 3
Now that we have all the values we can then create our histogram.
Taken from https://brainly.com/question/12197869
All rights reserved.
Beth Hazelton purchased a compact vehicle with an $18,240.00. MSRP including the delivery and title fee. She selected a leather interior which costs 5 times the upgraded stereo system. If the total cost of the vehicle, including a 7% sales tax, was $21,365.20 find the cost of the (a) stereo system and (b) leather interior. Use the example in the book to help you with solving this problem.
Answers
Answer:
price of leather thingy= $2906.62
price of stereo system = $581.33
Step-by-step explanation:
final cost minus cost of total before adding the leather.
21,365.20
- 18,240.00
= $3125.2
to find the exact price of the leather since the 7% tax was included in the price we mulitply by .93
3125.2 x .93 = 2906.62
we know the stereo is 1/5 of the price of the leather so we divide by 5 2906.63 ÷ 5 = 581.33
there u go! pls give brainliest :D
Which of the following is the solution to the equation 4 over 5 times n = 20
N = 4
N= 12
N = 16
N = 25
Answers
Answer:
(d) N = 25
Step-by-step explanation:
The solution to a one-step linear equation can be found by performing the inverse of the operation that is performed on the variable.
(4/5)N = 20
(5/4)(4/5)N = (5/4)(20) . . . . . multiply by the inverse of the coefficient
N = 25 . . . . . simplify
Let f(x)=3/4x2-1 The function g(x) is a vertical stretch of f(x) by a factor of 8.What is the equation of g(x)?
Answers
Answer:
g(x) = 6x^2-1
Step-by-step explanation:
f(x)=3/4x^2 −1.
A vertical stretch by a factor of 8 you multiply the number with x by the factor:
3/4 x 8 = 6
g(x) = 6x^2-1
Which of the following is true for the function y = log3(x)?
It is the inverse of the function y = x3.
It is the inverse of the function y = 3x.
It is the reciprocal of the function y = x3.
It is the reciprocal of the function y = 3x.
Answers
Answer:
B
Step-by-step explanation:
ED
what is the intial value of the function f(x)=3{5/4}^x
Answers
Answer:
3
Step-by-step explanation:
The "initial value" of a function is the value when the independent variable is zero.
f(0) = 3(5/4)^0 = 3×1 = 3
The initial value of the function is 3.
hello, id like to order3 halves of a cupcake for my family plus some extra for my 2 friends.
Answers
Answer:
They'll each want a quarter of a cupcake.
Step-by-step explanation:
The number of people in the family is 14.
The number of cupcakes ordered is 4.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Number of cakes for the family = 3 (1/2)
Number of friends = 2
Now,
Each person's amount of cake = 1/4
The number of people in the family.
= 3(1/2) ÷ 1/4
= 7/2 x 4
= 14
The total number of cupcakes ordered.
= 2 x 1/4 +3(1/2)
= 1/2 + 3(1/2)
= 1/2 + 7/2
= 8/2
= 4
Thus,
There are 14 people in the family.
The total number of cupcakes ordered is 4.
Learn more about fractions here:
https://brainly.com/question/24370499
#SPJ2
The complete question is:
Hello, id like to order3 halves of a cupcake for my family plus some extra for my 2 friends.
They'll each want a quarter of a cupcake.
Aidan earned a total of $117 in one week. His babysitting job pays him $15 per hour. His after-school job at a barber shop pays him $9 per hour. He worked a total of 9 hours that week. The system of linear equations represents this situation, where x represents the number of hours Aidan spent babysitting and y represents the number hours he worked at the barber shop.
x + y = 9
15x + 9y = 117
How many hours did Aidan work at each job?
Answers
The hours worked at the babysitting job is 6 hours.
The hours worked at the barber shop is 3 hours.
What are the hours worked at the babysitting job?
Given the two linear equations:
x + y = 9 equation 1
15x + 9y = 117 equation 2
Multiply equation 1 by 9
9x + 9y = 81 equation 3
Subtract equation 3 from 1
36 = 6x
x = 6
What are the hours worked at the barber shop?
Substitute for x in equation 1
6 + y = 9
y = 9 - 6
y = 3 hours
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
What is the area of a pillow that is 12 1/2 inches long and 15 1/2 inches wide?
Answers
Answer:
193.75in or 193 3/4 in.
Step-by-step explanation:
To find the area, multiply the length x width.
12.5 x 15.5 = 193.75in
:)
Answer:
193.75 inch
Step-by-step explanation:
Area= Length ×Width
12.5*15.5
X2 -2x -24=0 is equivalent to
Answer(S):
Answers
Answer:
x= 6, -4
Step-by-step explanation:
x^2 - 2x - 24 = 0
(x-6) (x+4) = 0
x = 6, x= -4
Evaluate the limit
[tex]\lim \limits_{x\to 0} \dfrac{\ln \left(1-\dfrac x4 \right) - (1-x)^{\tfrac 14} +1}{x^2}[/tex]
Answers
Answer:
1/16
Step-by-step explanation:
Place x=0 and you can see [tex]\frac{0}{0}[/tex] indefinitness. So you can apply the l'hosptial rule. Its basic you should
[tex]\lim_{x \to \ 0} \frac{g(x)}{f(x)} = \\[/tex] [tex]lim_{x \to \ 0} \frac{g'(x)}{f'(x)}[/tex] so apply the derivative
[tex]\frac{\frac{1}{x-4} +\frac{1}{\sqrt[4]{(1-x})^3 } }{2x}[/tex] and replace the x=0 and you'll see same answer [tex]\frac{0}{0}[/tex] re-apply the l'hospital rule and answer
[tex]\frac{\frac{-1}{(x-4)^2} + \frac{3}{16\sqrt[4]{(1-x)^7} } }{2}[/tex] and replace the 0 you can see the answer [tex]\frac{1}{16}[/tex]
What are the x-intercepts of this conic section?
no x-intercepts
(0, −3) and (0, 3)
(−5, 0) and (5, 0)
(−3, 0) and (3, 0)
Answers
Answer:
D. (-3, 0) (3, 0)
Step-by-step explanation:
An x-intercept is means when the line/shape crosses the x axis, or when y=0
So in this case, we can see that the shape crosses the x axis when
x = -3 and 3
So to put it in coordinate form (x, y)
It is: (-3, 0) and (3, 0)
(Whenever it crosses the x-axis, the y coordinate will always be 0)
CAN SOMEONE PLS ANSWER THIS QUESTION FAST
WILL MARK BRAINLIEST
Answers
Answer:
C. 9 miles/gallon
Step-by-step explanation:
Answer:
Maybe 10? I'm sure though
Step-by-step explanation: