Step-by-step explanation:
Part AAngle measures:
a = x = z = 51° (as vertical angles and corresponding angles)b = d = y = w = 180° - 51° = 129° (as supplementary angles and corresponding angles)Part BSupplementary angles for a linear pair and sum to 180°.
Examples are:
a and b or a and d orx and y etc.Solution:
Given:
An angle which measures 51°Using the given measure of an angle, we can identify all the angles.
a° = 51° (Vertically opposite angles)b° = 180 - 51 = 129° (180° angle)d° = b° = 129° (180° angle)w° = 129 (Alternate inner angles)x = a = 51° (Alternate inner angles)z = x = 51° (Vertically opposite angles)w = y = 129° 9 (vertically opposite angles)We can tell that:
a = x = z = 51°b = d = w = y = 129°Supplementary angles are pairs of angles that sums up to 180°.
Example of supplementary angle:
∠a and ∠b are supplementary angles because they sum up to 180°.8.91203 to the nearest whole number =
URGENT PLEASE HELP
Assume the graph of a function of the form y = acos(k(x-b)) is given below.
Which of the following are possible values for a, k, and b?
-4
F3
-
he
T
이
3x
4
4
2.
-1
12
O A. a = 4, k= 2, and b = -
4
O B. a = 2, k = 4, and b = ?
4
O c. a = 4, k = 2, and b =
4
O D. a = 4, k = 2, and b = ?
4
The possible values of for a, k, and b from the graph of the function will be D. a=4, k=2, b= pi/4.
What is a function?A function simply means a relation between the set of inputs and the outputs.
A function from set X to set Y assigns each element of X to Y. In this case, the set X is the domain while the set Y is the codomain.
From the graph attached, it can be seen that the values of for a, k, and b from the graph of the function will be a=4, k=2, b= pi/4.
Learn more about functions on:
https://brainly.com/question/25841119
Evaluate each expression.
Answer:
Evaluate each expression:
Answer:
5 = 10
6 = 13
7 = 5
8 = 17
Step-by-step explanation:
5.
1: simplify
[tex]\sqrt{8^2+6^2}[/tex]
2: take both to power
[tex]\sqrt{64+36}[/tex]
3: sqrt
[tex]\sqrt{100} = 10[/tex]
6.
1: simplify
[tex]\sqrt{5^2+12^2}[/tex]
2: take both to power
[tex]\sqrt{25+144}[/tex]
3: sqrt
[tex]\sqrt{169} = 13[/tex]
7.
1: simplify
[tex]\sqrt{4^2+3^2}[/tex]
2: take both to power
[tex]\sqrt{16+9}[/tex]
3: sqrt
[tex]\sqrt{25} = 5[/tex]
8.
1: simplify
[tex]\sqrt{15^2+8^2}[/tex]
2: take both to power
[tex]\sqrt{225+64}[/tex]
3: sqrt
[tex]\sqrt{289} = 17[/tex]
Bill's chocolate bar is 69% cocoa. If the weight of the chocolate bar is 83 grams, how many grams of cocoa does it contain? Round your answer to the nearest tenth.
Answer:
Bill's bar has 57.3 grams of cocoa.
Step-by-step explanation:
The math part that your question is asking is: What is 69% of 83?
In order to use the percent 69% in a calculation, you need to change it to a decimal.
69% is 0.69
You move the decimal to the left, two places.
69% is 69.% If you don't see a decimal to start with and it is a whole number, then the decimal is starting on the right.
Move it two places to the left, you get
.69
Now MULTIPLY.
.69 × 83
= 57.27
ROUND your answer to the nearest tenth. That means only one digit to the right of the decimal.
57.27 rounds to 57.3
Bill's bar has 57.3 grams of cocoa.
f(x)=12x-8. evaluate f(-7)
f(x)=12x-8
f(-7)=12(-7)-8
f(-7)= -84-8
f(-7)= -92
log(8(1 + 3x))
I need help, I have looked at multiple examples and going off of that I get log(2)+log(1+3x)
A field is a rectangle with a perimeter of 960 feet. The length is 400 feet more than the width. Find the width and length of the rectangular field.
I'm almost absolutely positive the width is 40 and the length is 440
Select the expressions that are equivalent to 2q + 8q.
q • 10
10q
q +9q
q + q+ 8q
Answer:
10qq +9qq + q+ 8qStep-by-step explanation:
We know that, when combining 2q + 8q we'll get → 10q
1) q • 10 (Nope)
2) 10q (yes, It's equivalent)
3) q +9q (combine) → 10q (yes, It's equivalent)
4) q + q+ 8q (combine) → 10q ( yes, It's equivalent)
So therefore, 10q , q +9q, q + q+ 8q are expressions equivalent to 2q + 8q..
~
Hope this helps!
3x + 5y = 4 2x + 3y = 4 solve in elimination
Answer:
y=-4, x=8
Step-by-step explanation:
1)3x+5y=4
2)2x+3y=4
Make 1 and 2 have the same co-efficient of x or y (i chose x as it is easier to get to 6 then 15)
Label the 2 new equations as 3 and 4
3)6x+10y=8
4)6x+9y=12
Now we can take away to give
y=-4
Now we substitute this into 1 or 2
I chose 2:
2x+3(-4)=4
2x=4+12
2x=16
x=8
Answer:
x = 8
y = -4
Step-by-step explanation:
Multiply the first equation by 2:
⇒ 3x + 5y = 4 ⇒ 6x + 10y = 8
(we will call this equation 3)
Multiply the second equation by 3:
⇒ 2x + 3y = 4 ⇒ 6x + 9y = 12
(we will call this equation 4)
Subtract equation 3 from equation 4 to eliminate the x variable:
6x + 9y = 12
- 6x + 10y = 8
-y = 4
Therefore, y = -4
Substitute y = -4 into one of the equations and solve for x:
3x + (5 x -4) = 4
⇒ 3x - 20 = 4
⇒ 3x = 24
⇒ x = 8
sophia has 7m of ribbon to help decorate a room. she will cut pieces of ribbon that are each r inches long. (1in.=2.54cm) which expression can help find the number of pieces of ribbon that she will have
Step-by-step explanation:
1 m (meter) is 100 cm (centimeters).
so, 7 m is 700 cm.
each piece is r × 2.54 cm long (as every inch is 2.54 cm).
so,
number of pieces = 700 / (r × 2.54)
The number of species can find by expression is
700 / (r × 2.54)
We have given that
Sophia has 7 m of ribbon
she will cut pieces of ribbon that are each r inches long.
We have to calculate the number of pieces of ribbon that she will have
What is the value of 1 meter in cementer?
1 (meter) =100 (centimetres).........(1)
multiply both side by 7
7 m is 700 cm.
each piece is
r × 2.54 cm long ..................(as 1 inch is 2.54 cm).
so,
[tex]number of pieces = 700 / (2.54r)[/tex]
Therefore the number of species can find by expression is
700 / (r × 2.54)
To learn more about the expression visit:
https://brainly.com/question/723406
57 women make up an all female choir in a church.
Two women are chosen to sing together for a duet.
How many possible pairs could be chosen for the duet?
Answer:
there could be 28 possible pairs because 57/2=28.5
Step-by-step explanation:
Mai got a prepaid debit card with 30 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 23 cents per yard. If after that purchase there was 27.01 left on the card, how many yards of ribbon did Mai buy?
Answer:
The answer I got was 13.
Step-by-step explanation:
I first did 30-27.01 to get 2.99.
I then divided 2.99 by 0.23 or 2.99/0.23 to get 13.
Hope this helped any!
Mr.Nadsen buys 12 posters. each poster costs 15$. if mr.nadsen receives a 4$ discount on each poster, what is the total amount of money mr. nadsen spends? write an expression that matches the words.
Answer:
132
Step-by-step explanation:
1 poster = $15
12 poster = $180
$4 discount * 12 posters = $48
180 - 48 = 132
so the answer is 132!
please mark brainliest i need 4 more!
I need help on a question i don't know!
Answer:
20:4
Step-by-step explanation:
got it for u
Using the unpaid balance method, find the current months finance charge on a credit card account having the following transactions.
Last month’s balance: $385
Last payment: $250
Annual interest rate: 21%
Purchases: $303
Returns: $158
(It would be great if you could tell me how to use the formula I=Prt where previous months balance + finance charge + purchases made - returns - payments)
Answer:
$5.02
Step-by-step explanation:
The unpaid balance method is a common method used by credit card companies to calculate finance charges. It determines the finance charge based on a portion of the previous balance you have not yet paid.
Equations to use:
[tex]\boxed{\begin{minipage}{9.7cm}\phantom{w}\\Periodic (monthly) rate = annual interest rate $\div$ 12\\\\Finance Charge = previous balance $\times$ periodic rate\\\\Unpaid Balance = previous balance + finance charge +\\\phantom{wwwwwwwwwww} new purchases - returns - payments\\\end{minipage}}[/tex]
The periodic rate is the interest rate charged over a certain number of time periods. The interest on a credit card is usually calculated monthly, so if the annual interest rate is 21%, then the periodic (monthly) rate is:
[tex]\text{Periodic Rate}=\dfrac{21\%}{12}=1.75\%=0.0175[/tex]
The unpaid balance is "last month's balance", which is $385.
Calculate the finance change by multiplying the previous balance (last month's balance) by the periodic rate:
[tex]\begin{aligned}\text{Finance change} &=\rm previous\; balance \times periodic\;rate \\&=\$385 \times 0.0175 \\&= \$6.7375\end{aligned}[/tex]
Calculate the unpaid balance by subtracting the returns and payments from the sum of the previous balance, finance charge and new purchases:
[tex]\begin{aligned}\rm Unpaid \; Balance &= \rm previous\; balance + finance\;charge +new \;purchases\\&\phantom{=w}\rm - returns - payments\\&= \$385 + \$6.7375 + \$303 - \$158 - \$250 \\&= \$286.7375\end{aligned}[/tex]
Finally, to calculate the current month's finance charge, multiply the unpaid balance by the periodic rate:
[tex]\begin{aligned}\text{Current month's finance charge}&=\rm unpaid \;balance\times periodic \;rate\\&=\$286.7375 \times 0.0175 \\&= \$5.02\; \text{(nearest cent)}\end{aligned}[/tex]
Therefore, the current month's finance charge is $5.02 to the nearest cent.
please help me with rhis question
Answer:
He is correct!
Step-by-step explanation:
one quarter of 9 is 2.25 cause if u divide 9 by 2, you get 4.50 which is one half, so if you divide 4.50 by 2 you get 2.25 which is one quarter of 9
8. How tall do the people in your immediate
and extended family tend to be?
Answer:
maybe 5,5-6 foot. don't really keep track I just know they are almost as tall as me
What is the combined weight if the 3/4 lb bags
The function y = 2 • 1.5n models the value of a certain stock after n years. What is the recursive formula that models the situation?
Answer:
aₙ= 1.5aₙ₋₁ with a₁= 3
Step-by-step explanation:
recursive formula is represented by aₙ=b· aₙ₋₁
I really really need help pls
Answer:
(c) r units right
Step-by-step explanation:
The translation transformations are ...
g(x) = f(x -h) +k . . . . . . . shifts h units right and k units up
Your transformation has h=r and k=0, so the graph is shifted r units right and no units vertically.
_____
Additional comment
This in not terribly mysterious. Suppose you have f(1) = 6. This means the point (1, 6) is on the graph.
Now, suppose you transform this to ...
g(x) = f(x -2)
When the value of x is 3, the value of g(x) is f(3-2) = f(1) = 6. That means the point (3, 6) is on the graph of g(x).
It is the same as the point (1, 6) on the graph of f(x), but shifted 2 units to the right.
__
You can shift a function r units right by replacing x with (x-r), as we just discussed. You can shift a function u units up by replacing y with (y-u). When we write equations in "functional form", the "u" gets "moved."
y-u = f(x) . . . . . graph of f(x) shifted u units up
y = f(x) +u . . . . graph of f(x) shifted u units up. (u added to both sides of the above equation)
Two right triangles are proportional. The shortest leg of the small triangle is 4 in and the hypotenuse is 12 in. The shortest
leg of the large triangle 8 in. Find the length of the hypotenuse of the large triangle.
A.12
B.21
C.20
D.24
Answer:
D) 24
Step-by-step explanation:
scale factor is 2
since 4 x 2 is 8 then 12 x 2 is 24
can I have help pls
Answer:
1. b
2. a
3. a
Step-by-step explanation:
1. the answer is x=7
2 and 3 answer is x = R which isn't really a real solution
Answer: it is right same exact test i did
Im back again... and i need help. sorry but im doing a second attempt for math and its on geometery and i hate geometery
Answer: 1/3
Step-by-step explanation:
The scale factor is 1/3 because each side of figure B is 1/3 the magnitude of figure A.
Identify the parent function of f(x)=-3x^3-3
Answer:
f(x) = x^3
Step-by-step explanation:
To identify the parent function, replace any added constants with 0, and replace any constant multipliers with 1. Doing that gives you ...
f(x) = 1·x^3 -0
f(x) = x^3 . . . . . . the parent function
Simplify each and write it as a mix number
12/14
27/90
Step-by-step explanation:
Divide 12/14 by 2:
[tex]\frac{12 \div 2}{14 \div 2} =\frac{6}{7}[/tex]
Simplified. Can't be a mixed number, less than 1.
Divide 27/90 by 9:
[tex]\frac{27 \div 9}{90 \div 9} =\frac{3}{10}[/tex]
Simplified. Can't be a mixed number, less than 1.
Find amount when principal is 7150 and rate is 5% time is 2.5 years
Answer:interest =p×r×t ÷100
Time = 21/2 -5/2
Interest = 7150×5×5/100×2
answer =1787.5
Amount = P-I
7150-17875/10
Answer = 5362.5
Step-by-step explanation:
What are the coordinates of vertex N after this translation? * Quadrilateral LMNP is translated 4 units up and 2 units right.
Answer:
A
Step-by-step explanation:
because
Can anyone help in this question, thanks
Answer:
Sorry I can only help you in 5a. The answer is 70 degrees because it is a central angle. The measure of an arc and a central angle is the same.
Step-by-step explanation:
4. Emily's house has a chimney. What is the
volume of her chimney?
4 in.
9 in.
12 in.
3 in.
4 in.
6 in.
Giving brainliest! Tysm!
Answer:
130 in will be the correct answer
If 600 people were surveyed in order to make this pie chart, how many people say they take the bus? 20 points
Answer:
if 600 people were surveyed it means that 10% equals 60 since 60x10=600. Since we now know that 10% is 60, this would mean that 20% is 120. meaning that 120 people took the bus