Answers
4,5
3,6
these are all supplementary
Answer:
b) ∠4 and ∠3
c) ∠4 and ∠5
e) ∠3 and ∠6
Step-by-step explanation:
Supplementary angles: If the two angles are supplementary, then the angles add upto 180 degrees.
We need to find which pairs add upto 180 degrees.
From the given figure, ∠4 + ∠3 = 180°
ii) ∠5 + ∠6 = 180°
iii) ∠4 + ∠5 = 180°
iv) ∠3 + ∠6 = 180°
v) ∠7 + ∠8 = 180°
So, the following pairs are supplementary.
b) ∠4 and ∠3
c) ∠4 and ∠5
e) ∠3 and ∠6
Related Questions
Fine the missing coordinate of the ordered pair
Answers
Prove that if d|m and d|n, then d|(m+n)
Answers
Now, [tex]m+n=dk_1+dk_2=d(k_1+k_2)=dk_3[/tex], i.e. there is some [tex]k_3[/tex] such that [tex]m+n[/tex] is a multiple of [tex]d[/tex], i.e. [tex]d\mid(m+n)[/tex].
Which equation has no solution?
4(x + 3) + 2x = 6(x + 2)
5 + 2(3 + 2x) = x + 3(x + 1)
5(x + 3) + x = 4(x + 3) + 3
4 + 6(2 + x) = 2(3x + 8)
Answers
Answer:
B: 5 + 2(3 + 2x) = x + 3(x + 1)
Step-by-step explanation:
Just took it it's correct so leave a like
Pre cal/cal master needed
F(x)= 2x^2 + 3x-2 and g(x)= x-2
find equation for f(g(x))
My answer : 2x^2 -8 +3x-8
True answer: 2x^2 -5x
How do we get true answer? I plugged in g(x) into the x's of F(x) but got a waaaaaay different answer.
Answers
2x^2 + 3x-2
2(x-2)^2 + 3(x-2)-2
Now work out 2(x-2)^2 + 3(x-2)-2 also follow PEMDAS
2(x-2)^2 + 3(x-2)-2
Since (x-2)^2 is an Exponent, lets work with that first and expand (x-2)^2.
(x-2)^2
(x -2)(x-2)
x^2 -4x + 4
Now Multiply that by 2 because we have that in 2(x-2)^2
(x-2)^2 = x^2 -4x + 4
2(x-2)^2 = 2(x^2 -4x + 4)
2(x^2 -4x + 4) = 2x^2 - 8x + 8
2x^2 - 8x + 8
Now that 2(x-2)^2 is done lets move on to 3(x-2).
Use the distributive property and distribute the 3
3(x-2) = 3x - 6
All that is left is the -2
Now lets put it all together
2(x-2)^2 + 3(x-2)-2
2x^2 - 8x + 8 + 3x - 6 - 2
Now combine all our like terms
2x^2 - 8x + 8 + 3x - 6 - 2
Combine: 2x^2 = 2x^2
Combine: -8x + 3x = -5x
Combine: 8 - 6 - 2 = 0
So all we have left is
2x^2 - 5x
Central Middle School has 2,470 students and the ratio of students to teacher is 26:1. How many new teachers are needed to reduce this ratio to 19:1?
Answers
[tex]\bf \cfrac{student}{teacher}\qquad 26:1\implies \cfrac{26}{1}=\cfrac{\stackrel{2470}{students}}{\stackrel{teachers}{t}}\implies \cfrac{26}{1}=\cfrac{2470}{t} \\\\\\ t=\cfrac{1\cdot 2470}{26}\implies \boxed{t=95}[/tex]
hmm alrite... what if the amount of students is kept the same, but more teachers come in, that the ratio changes and is no longer 26:1 but 19:1?
how many teachers will there be then?
[tex]\bf \cfrac{student}{teacher}\qquad 19:1\implies \cfrac{19}{1}=\cfrac{\stackrel{2470}{students}}{\stackrel{teachers}{t}}\implies \cfrac{19}{1}=\cfrac{2470}{t} \\\\\\ t=\cfrac{1\cdot 2470}{19}\implies \boxed{t=130}[/tex]
so, if there are 130 teachers and 2470 students, the ratio is 19:1.
at 26:1 is with 95 teachers.
how many more new teachers are needed? well, surely you'd know that.
What decimal equivalent of 5/6
Answers
Frances left a 19% tip on a meal, including the tip, it's cost was $27.37. What was the cost of the meal before the tip?
Answers
So 19% in decimal is 0.19
so 27.37 x 0.19 = 5.2 (If not rounded it is 5.2003)
5.2 - 27.37 = 22.17 (If not rounded 22.167)
Answer:
$22.17
Step-by-step explanation:
Please see attachment. Calculations executed in black ink. Justification explained in green ink. Solution highlighted in blue.
~~
Thank you!
Kendra and her horse completed the barrel racing course in 15.839 seconds. What is this number rounded to the nearest tenth? :explain how you decided
Answers
To find the nearest tenth, you go to the 3rd place after the decimal and decide: if the value is 5 or greater, go to the second place after the decimal and round up one. If it does not, the value of the second decimal stays the same.
Simplify the complex number i^39 as much as possible.
Answers
Answer:
-i
Step-by-step explanation:
i = [tex]\sqrt{-1}[/tex]
[tex]i^{2}[/tex] = - 1
Every [tex]i^{x}[/tex] will be equal to -1, when n is even.
Break apart [tex]i^{39}[/tex] into ([tex]i^{38}[/tex])([tex]i^{1}[/tex])
Since 38 is even, [tex]i^{38}[/tex] will be equal to -1
-1*([tex]i^{1}[/tex]) = -i
To simplify i^39, we must use the cyclical pattern of i's powers, which repeats every four. i^39 simplifies to i^3, which is equal to -i.
To simplify the complex number i^39, we should recognize the cycle of powers of i. Since i represents the square root of -1, the powers of i cycle every four powers:
i = ii^2 = -1i^3 = -ii^4 = 1To find the equivalent of i^39, we can divide 39 by 4 to get a quotient and a remainder: 39 divided by 4 is 9 with a remainder of 3. This means that i^39 is equivalent to i^3, which is -i.
Prove that 1=2 with well arranged steps and justify each step
Answers
√32 greater or less than 5.1
Answers
Your answer will be greater because 5.6 is greater than 5.1.
The difference between 4 and the product of 6x and 40
Answers
One fifth of the employees of Delta Industries, Inc., work in the Southeastern region. If the company employs 252 workers in that region, what is the total number of employees working for the company?
Answers
[tex]\bf \begin{array}{ccll} amount&fraction\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 252&\frac{1}{5}\\\\ x&\frac{5}{5} \end{array}\implies \cfrac{252}{x}=\cfrac{\frac{1}{5}}{\frac{5}{5}}\implies \cfrac{252}{x}=\cfrac{\frac{1}{5}}{1}\implies \cfrac{252}{x}=\cfrac{1}{5} \\\\\\ \cfrac{252\cdot 5}{1}=x[/tex]
One fifth of the employees of Delta Industries, Inc., work in the Southeastern region. The total number of employees working for the company is 1260.
Explanation:If one fifth of the employees of Delta Industries, Inc. work in the Southeastern region, and there are 252 workers in that region, we can find the total number of employees by multiplying 252 by 5.
5 times 252 equals 1260. Therefore, the total number of employees working for the company is 1260.
55% of what number is 22?
Answers
22 : 0.55 = 40
55% of 40 is 22
Now convert the percent into a decimal by moving the % sign two places to the left and make the % sign into a decimal point.
55% = 0.55
In mathematics, 'of' can sometimes mean multiply.
Likewise, 'is' can sometimes mean equal.
0.55x = 22
Solve for x.
0.55x = 22
x = 40 <-- Divide both sides by 0.55.
So, the answer is 40.
Point Q is the midpoint of segment PR. If PQ= (15x-2) and QR= (5x+3) find the value of Q.
Answers
so, the distance to Q, or one can say Q's length is the same as PQ's. or QR's for that matter.
If Logx (1 / 8) = - 3 / 2, then x is equal to
A. - 4
B. 4
C. 1 / 4
D. 10
Answers
answer is C 1/4
see attached picture, it is not exact but with rounding it comes out correct.
Brainiest to Response. AP Statistics Help on Hypothesis Testing! I have various AP Stats questions I'd like to check with those who completed this course or knows about p-values, Hypothesis Testing, and alphas. If you've taken the course and can help me with some AP Statistics questions, I'd appreciate it.
Answers
Raul and Ruth Are saving for a trip.Raul starts with $350 and saves $15 per week.Ruth starts with $200 and saves $25 per week. When will they have the same amount?
Answers
Raul: rl=$350 + $15x
Ruth: rh=$200 + $25x
In both cases, x represents the number of weeks elapsed.
When will these two people have saved up the same amount? Set rl = rh and solve for x, the number of weeks elapsed:
$350 + $15x = $200 + $25x
$150 = $10x gives us x= 15. Their savings will be equal after 15 weeks.
Answer:
15
Step-by-step explanation:
Janae bought wallpaper that cost $25.90 for each roll of 14 square feet. Find the unit price.
Answers
Answer:
The unit price is $1.85
Step-by-step explanation:
Janae bought a roll of wallpaper that cost = $25.90
Each roll is of = 14 square feet
Cost per square feet = [tex]\frac{25.90}{14}[/tex] = $1.85
The unit price is $1.85
The motorcycle engine on a kawasaki ninja 1000 has a displacement of 1043 cubic-centimeters (cm3). in order to calculate its engine displacement in cubic-inches (in3) what unit conversion factor would you use to multiply the given displacement
Answers
[tex]\boxed{\boxed{ \ 0.061 \frac{inch^3}{cm^3}\ }}[/tex]
Further explanationWe will calculate the unit conversion factor used to convert its engine displacement from cubic-centimeters to cubic-inches.
The relationships between inch and cm are as follows:
[tex]\boxed{ \ 1 \ inch = 2.54 \ cm\ }[/tex]
Inches and cm represent units of length.
Made into fractions, 1 inch as the denominator and 2.54 cm as the numerator.
[tex]\boxed{ \ \frac{1 \ inch}{2.54 \ cm} \ }[/tex]
As a unit conversion factor of volume, the numerator and the denominator in cubic.
[tex]\boxed{ \ \frac{(1 \ inch)^3}{(2.54 \ cm)^3} \ }[/tex]
[tex]\boxed{ \ \frac{1 \ inch^3}{16.387 \ cm^3} \ }[/tex]
Thus, we get the unit conversion factor
[tex]\boxed{\boxed{ \ 0.061 \frac{inch^3}{cm^3}\ }}[/tex]
Let's use this unit conversion factor to calculate its engine displacement in new units.
[tex]\boxed{= 1,043 \ cm^3 \times 0.061 \ \frac{inch^3}{cm^3}}[/tex]
Note for cm³ units that have been crossed out.
The conversion result is [tex] \ \boxed{ \ 63.623 \ inch^3\ }[/tex]
Learn moreConvert cubic-kilometers to cubic-meters https://brainly.com/question/1446243How to write in scientific notation brainly.com/question/7263463 Calculating mass based on density and volume brainly.com/question/4053884Keywords: the motorcycle engine, Kawasaki Ninja 1000, 1043 cubic-centimeters (cm³), to calculate, its engine displacement, in cubic-inches (in³), what unit conversion factor
Marty wants to paint a box. He can choose to use either blue, green, yellow, or black paint. Also, he can style the paint by painting with a brush, a roller, or a sponge. How many different combinations of color and painting method can Marty choose?
Answers
Answer:
12
Step-by-step explanation:
Marty can choose his paint in 4 ways and his style in 3 ways. Thus there are a total of 4x3=12 different combinations he can choose.
93 times the sixth power of ten
Answers
93 x 60466176 = 5623354368
hope this helps
how many significant digits are in 23,000
Answers
Solve for A. R = x(A + B) A = (R - B)/x A = (B - Rx)/x A = (R - Bx)/x
Answers
R = Ax + Bx.....subtract Bx
R - Bx = Ax...divide both sides by x
(R - Bx) / x = A <==
In the given equation of the provided problem, the solution for A is A = [tex]\frac{R - xB}{x}[/tex].
Mathematically, an equation is a statement that asserts the equivalency of two expressions. It consists of two hands, the left-hand side( LHS) and the right-hand side( RHS), separated by an equal sign( =). The LHS and RHS can be numbers, variables, constants, or further complex fine expressions.
To solve for A in each of the given equations, we'll isolate the variable A on one side of the equation. Let's go through each equation:
R = x(A + B)
To solve for A, we'll start by expanding the expression on the right side:
R = xA + xB
R - xB = xA
Divide both sides of the equation by x to solve for A:
A = [tex]\frac{R - xB}{x}[/tex].
Therefore, the solution for A is A = [tex]\frac{R - xB}{x}[/tex].
Learn more about Equation here:
https://brainly.com/question/29657992
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Find the present value of Php 50,000.00 due in 4 years if money is invested at 12% compounded semi-annually.
Answers
Php 50,000.00 * (100+6)%^(4 years/ 6 months)=
Php 50,000.00 * 106%^(8)= Php 79,692.40
what is the value of the underlined digit? 587
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Write 93 11/16 as a decimal
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I hope this helps:)
Find the lcm of 6, 5, 3
Answers
6 = 6 12 18 24 30 36
5 = 5 10 15 20 25 30
3 = 3 6 9 12 15 18 21 24 27 30
It would be 30.
Hope This Helps You!
Good Luck :)
6: 6, 12, 18, 24, 30
5: 5, 10, 15, 20, 25, 30
3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
As you can see, all of the three numbers have a multiple of 30. The LCM of 6, 5, and 3 is 30.
0.04 is 1\10 of what
Answers
hope this helps
chloe is sorting items at a thrift store. She finds a box of tiny blocks that has 1,344 written on the outside. She can see that each layer in the box has 64 blocks. How many layers of blocks are there?
Answers
Answer: There are 21 layers of blocks.
Step-by-step explanation:
Since we have given that
Number of blocks in a box = 1344
Number of blocks in each layer = 64
We need to find the number of layer of blocks.
So, the number of layer of blocks is given by
[tex]\dfrac{1344}{64}\\\\=21[/tex]
Hence, there are 21 layers of blocks.