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°
Hope that helps :)
Related Questions
a bicycle has a listed price of 749.95 before tax. if the sales tax rate is 9.5%, find the total cost of the bicye with sales tax included
Answers
Answer:
821.20
Step-by-step explanation:
The tax is added to the listed price in order to find the total cost. The tax is computed by multiplying the listed price by the tax rate.
tax = 749.95 × 0.095 = 71.25 . . . . . (rounded up from 74.24525)
total cost = listed price + tax = 749.95 +71.25 = 821.20
The total cost of the bicycle with sales tax included is 821.20.
Answer:
$821.20 (nearest cent)
Step-by-step explanation:
If a sales tax of 9.5% is applied,
the final cost of the bicycle = 100% + 9.5% = 109.5% of its listed price
Convert 109.5% into a decimal:
109.5% = 109.5/100 = 1.095
So 109.5% of $749.95 = 1.095 × 749.95
= $821.20 (nearest cent)
In the diagram, ABCD is a parallelogram. Write an argument to support the claim that
M x = M y
Answers
The angles m∠x = m∠y because alternate interior angles are equal.
What is a parallelogram?A parallelogramis a quadrilateral in which opposite sides are equal and parallel to each other.
The opposite angles are also congruent, whereas consecutive interior angles are supplementary.
In the quadrilateral ABCD:
m∠x = m∠y (alternate interior angles are equal)
The angles m∠x = m∠y because alternate interior angles are equal.
Find out more on parallelogram at: https://brainly.com/question/970600
Need help, Brainliest if correct, Don’t answer if you don’t know.
Answers
the measure of angle c is 120
Answer:
C = M = 120
i hope this helps
There are two numbers. The smaller number is 32 less than the larger number. If the larger number is increased by 10, it will be 4 times that of the smaller number. Find the larger number.
Answers
Step-by-step explanation:
Let the larger no be = a
Difference of the numbers = a - 32
As per the question;
(a + 32) = 5(a - 32)
⇒ a + 32 = 5a - 160
⇒ 128 = 4a
⇒ a = 32
∴ The larger no is 32.
What is the equation of the axis of symmetry?
Answers
Explanation: graph :)
.............help me
Answers
Answer:
A Translation 2 units left and 1 unit down
Step-by-step explanation:
The area of'a rectangular piece of cardboard is 108 em and its length is 18em. Find the width of the cardboard
Answers
Answer:
I think you meant cm, not em. So the answer is 6 cm.
Step-by-step explanation:
18cm x 6cm = 108 cm
Graph the solution for the following linear inequality system. Click on the graph until the final result is displayed.
y ≥ 0
y < x
x + y < 6
Answers
Answer:
Step-by-step explanation:
Solve each of the following equations. Show its solution set on a number line. Check your answers. 7m+4=1
PLS HELP WILL GIVE BRAINLIEST
Answers
Subtract 4 from both sides 7m+4-4=1-4
7m=-3
Divide both sides by 7
7/7m =-3/7
M=-3/7
Answer:
x=-3/7;x=-5/7
Step-by-step explanation:
What is the factorization of the trinomial below?
-x^2 - 2x + 48
A. -1(x - 8)(x + 6)
B. -1(x + 8)(x - 6)
C. (x + 6)(x - 8)
D. (x - 6)(x + 8)
Answers
Answer:
The answer to this question is A
Which of the following choices represents the average of other four?
A)4. B)-3. C). -4. D). -17. E). 5
Answers
Answer:
B
Step-by-step explanation:
Let's add some numbers together and divide by the numbers of numbers. The answer should be among these.
4 + 5 + -4 + -3 = 2
4/2 = 2.
-17 + -4 + 4 + 5 = -12
-12/4 = -3.
The answer is B.
If a family of three splits a 33.66 bill evenly how much will each family member owe
Answers
Answer:
$11.22
Step-by-step explanation:
Divide 33 by 3 and also divide .66 by 3. You get 11 and .22, add both of those together and you get $11.22
hello help me with this question thanks in advance
Answers
Answer:
B. 98 ft
Step-by-step explanation:
x^2 + y^2 = z^2
z = sqrt(84^2 + 50^2) = 97.7 ft ~ 98 ft
B. 98 feet
Step by-step explanation:[tex]Solution:\ From\ question\\ 84\ feet\ long\ and\ 50\ feet\ wide\\ so\ he\ will\ run\ \sqrt{{84}^2+{50}^2}\ \approx98\ feet[/tex]
Suppose if, instead of depositing the $600 all at once, you deposit nothing at the beginning and you divide up the $600 into 12 envelopes each with $50. Find the balance after one year if you deposit one $50 envelope each month, all year, into an account that pays 5% APR with monthly compounding.
Answers
The balance after one year if you deposit one $50 envelope each month, all year is $613.95.
What is the balance after one year?The balance after 1 year can be determined using this formula:
Amount deposited monthly x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
r = interest rate = 5% /12 = 0.417%n = number of years = 1 x 12 = 12Annuity factor = 1.004167^12 - 1 / 0.00417 = 12.279082
Balance = 12.279082 x 50 = $613.95
To learn more about annuities, please check: https://brainly.com/question/24108530
Give the center and radius of the circle described by the equation and graph the
equation. Use the graph to identify the domain and range.
(x+3)² + (x - 2)² = 9
Answers
Answer:
I don't know the exact answer but, I had a problem like this the other day. This is how to find it out. I am just in a rush so I have to go if not I would help you figure it out.
Step-by-step explanation:
Write the equation of each circle.
1. center at (9, 0), radius 5
SOLUTION:
ANSWER:
2. center at (3, 1), diameter 14
SOLUTION:
Since the radius is half the diameter, r = (14) or 7.
ANSWER:
3. center at origin, passes through (2,2)
7 is less than y by 5.Find y.
Answers
Answer:
12
Step-by-step explanation:
If 7 is less then y by 5, you add 5 to 7
7 + 5 = 12
resulting in y equaling 12
12 - 5 = 7
PLEASE HELPPP!!!!!!!!
If 0.000689 =689 ×10 ^n, find the value of n
Will n be negative or positive, that is all I need
Thanks
Answers
Answer:
n = 6
Step-by-step explanation:
To find the exponent of 10, you can write the equivalent multiplier in standard form, then identify the place value of the 1 in the multiplier.
0.000689 = 689 × 0.000001
The 1 is in the 6th place to the right of the decimal point. The place value of digits in that place is 10^-6
0.000689 =689 × 10^n = 689 ×10^-6
n = -6
_____
In the attached, your number would fill in the blanks to the right of the decimal point. The least-significant digit (9) would have a value of 9×10^-6.
Add:
Help help help help
1350 + 238
Answers
Rewrite the following without an exponent. (9/5)^-1
Answers
Answer:
5/9
Step-by-step explanation:
What we have here is the reciprocal of (9/5). Inverting (9/5) results in (5/9), which is the desired result.
The number 1 is a factor of _________.
A) all odd numbers
B) all even numbers
C) all whole numbers
Answers
Answer:
The number 1 is a factor of C)all whole numbers.
1 is a factor of all whole numbers.
Every single number, including odd numbers and even numbers, is divisible by 1 (evenly, without any remainders)
Remember, whole numbers include odd numbers, even numbers, and 0.
note:-Hope everything is clear; if you need any more explanation and/or clarification, kindly let me know, and I will comment and/or edit my answer.
The sum of two integers is 72 and their difference is 8. Find the integers
Answers
Please answer all correctly !!
Answers
Answer:
See below for answers and explanations
Step-by-step explanation:
Problem 1
To convert from polar to Cartesian coordinates, recall that [tex](x,y)=(r\:cos\theta,r\:sin\theta)[/tex], thus, [tex](x,y)=(6\:cos\frac{5\pi}{6},6sin\frac{5\pi}{6})=(6(-\frac{\sqrt{3}}{2}),6(\frac{1}{2}))=(-3\sqrt{3},3)[/tex]
Therefore, C is the correct answer
Problem 2
Convert from polar to Cartesian coordinates:
[tex](x,y)=(-5\:cos\frac{2\pi}{3},-5\:sin\frac{2\pi}{3})=(-5(-\frac{1}{2}),-5(\frac{\sqrt{3}}{2}))=(\frac{5}{2},\frac{-5\sqrt{3}}{2})[/tex]
Therefore, U is the correct answer
Problem 3
Since [tex]r=\sqrt{x^2+y^2}[/tex], then [tex]r^2=x^2+y^2[/tex]. Don't also forget to use the substitution [tex]x=r\:cos\theta[/tex]:
[tex]x^2+y^2-7x=0\\\\r^2-7rcos\theta=0\\\\r(r-7cos\theta)=0\\\\r-7cos\theta=0\\\\r=7cos\theta[/tex]
Therefore, B is the correct answer
Problem 4
[tex]r=(tan\theta)(sec\theta)\\\\r=(\frac{sin\theta}{cos\theta})(\frac{1}{cos\theta})\\ \\\frac{r^2}{r}=(\frac{rsin\theta}{rcos\theta})(\frac{r}{rcos\theta})\\ \\\frac{x^2+y^2}{\sqrt{x^2+y^2}}=(\frac{y}{x})(\frac{\sqrt{x^2+y^2}}{x})\\ \\x^2+y^2=\frac{y(x^2+y^2)}{x^2}\\ \\1=\frac{y}{x^2}\\\\x^2=y[/tex]
Therefore, A is the correct answer
I need help with this question and a step by step explanation for future references, Thanks!
Answers
Answer:
x = 7
y = -2
Step-by-step explanation:
Equation 1: 2x + y = 12
Equation 2: x - y = 9
Rewrite Equation 2 to make x the subject:
⇒ x = 9 + y
Substitute this into Equation 1 and solve for y:
⇒ 2(9 + y) + y = 12
⇒ 18 + 2y + y = 12
⇒ 18 + 3y = 12
⇒ 3y = -6
⇒ y = -2
Substitute found value of y into the rewritten Equation 2 and solve for x:
⇒ x = 9 + (-2)
⇒ x = 7
Step-by-step explanation:
2x + y = 12 equ 1
x - y = 9 equ 2
from equ 2 make x the subject
x - y = 9
x = 9 + y equ 3
substitute equ 3 to equ 1
2x + y = 12
2(9 + y ) + y = 12
18 + 2y + y = 12
3y = - 6
y = -2
substitute y = -2 into equ 3
x = 9 + (-2)
x = 9 - 2 = 7
(x, y) = (7, -2)
let's prove and see if we are correct
2x + y = 12
input the values of (x, y) = ( 7, -2) into the question
2(7) + (-2) = 12
14 - 2 = 12
12 = 12
for the second equation
x - y = 9
Input the values of (x, y) = ( 7, -2) into the question
7 - (-2) = 9
7 + 2 = 9
9 = 9
What common donminator of 1/3 and 3/4
Answers
Answer:
12
Step-by-step explanation:
The least common denominator (LCD) of 1/3 and 3/4 is 12, because if you multiply the denominators of both fractions, 3 * 4 = 12.
This would change the fractions to-
1/3 * 4/4 = 4/12
3/4 * 3/3 = 9/12
I hope this was helpful! Have a lovely day!! :)
Help solve for “q”
—————————————
Answers
Digram:-
[tex] \\ [/tex]
[tex]\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\thicklines\put(5,1){\vector(1,0){4}}\put(5,1){\vector(-1,0){4}}\put(5,1){\vector(1,1){3}}\put(2,2){$\underline{\boxed{\large\sf a + b = 180^{\circ}}$}}\put(4.5,1.3){$\sf a^{\circ}$}\put(5.7,1.3){$\sf b^{\circ}$}\end{picture}[/tex]
[tex] \\ [/tex]
STEP :-
[tex] \dashrightarrow \tt(4q - 1) {}^{ \circ} + {117}^{ \circ} = 18 {0}^{ \circ} [/tex]
{Linear pair}
[tex] \\ \\ [/tex]
[tex] \dashrightarrow \tt(4q - 1) {}^{ \circ}= 18 {0}^{ \circ} - {117}^{ \circ}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt(4q - 1) {}^{ \circ}=63^{ \circ}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt4q - 1{}^{ \circ}=63^{ \circ}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt4q =63^{ \circ} + 1{}^{ \circ}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt4q =64{}^{ \circ}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt \: q = \dfrac{64}{4}^{ \circ}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt \: q = \dfrac{16 \times 4}{4}^{ \circ}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt \: q = \dfrac{16 \times \cancel4}{\cancel4}^{ \circ}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt \: q = \dfrac{16}{1}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \bf q = 16 \degree[/tex]
[tex] \\ \\ [/tex]
Verification:
[tex] \\ [/tex]
[tex] \dashrightarrow \tt(4 \times 16- 1) {}^{ \circ} + {117}^{ \circ} = 18 {0}^{ \circ} [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt(64- 1) {}^{ \circ} + {117}^{ \circ} = 18 {0}^{ \circ} [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt63^{ \circ} + {117}^{ \circ} = 18 {0}^{ \circ} [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt180^{ \circ} = 18 {0}^{ \circ} [/tex]
[tex] \\ [/tex]
LHS = RHS
HENCE VERIFIED!
Answer:
Value of [tex]\sf\purple{q\: = \:16.}[/tex]
Step-by-step explanation:
[tex]\rightarrow[/tex]As we know that,
Sum all angles that lie on a straight line = [tex]\sf\blue{180°}[/tex]
So,
[tex]\rightarrow[/tex] [tex]\sf{(4q-1)°+ 117°\: = \:180°}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{(4q-1)\: = \:180-117}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{(4q-1)\: = \:63}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{4q\: = \:63+1}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{q\: = \:\frac{64}{4}}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{q\: = \:16}[/tex]
Thus, [tex]\sf\purple{q\: = \:16.}[/tex]
_________________________________
Hope it helps you:)
This figure is the pre-image of a prism that has undergone a dilation with a scale factor of 2/5.
What is the surface area of the image after the dilation?
206225 m²
26845 m²
51512 m²
58225 m²
Answers
Answer:
Step-by-step explanation:
Answer:
Yeah. The answer is [tex]206\frac{2}{25}[/tex].
Step-by-step explanation:
Please help
I don’t know what to do with this
Answers
Answer:
The prediction should be 5 via interpolation.
Step-by-step explanation:
Based on the values you have, the linear equation is f(x)=x-1. So replace x with the number you're looking for (6).
In a general sense, to extrapolate is to infer something that is not explicitly stated from existing information. Interpolation is an estimation of a value within two known values in a sequence of values.
For context, question 6 is:
What inverse operation will be used to undo the volume of Julie's jewelry box to find its edge lengths?
Volume formula for a cube is: volume = edge^3
//I have already answered This, I need help with #7, which is:
"If V = 216, what is the edge length of Julie's jewelry box?"
Answers
Answer:
6
Step-by-step explanation:
The inverse of cubed is cubed root. The cubed root of 216 is 6.
Expand to write an equivalent expression…
1/2(-4x + 2y)
Answers
PLEASE HELP I WILL GIVE BRAINLIEST
Answers
Answer:
20 inches²
Step-by-step explanation:
perimeter = 8 + 3 + 5 + 4
= 20 inches²