Statements Reasons
Given: Z1 and 22 are supplements,
23 and 24 are supplements,
and 21 24.
Prove: 22 23
m21+ m2 = 180
mZ3+ m 24 = 180
21 and 22 are
.
2124
m21+ m2 2 = m 23+
m24
23 and 24 are supp
1
Statements
Reasons
3
2.
2
1
Assemble the proof by dragging tiles to
the Statements and Reasons columns.
Answers
got it correct edge 2021
The proof that m∠2 = m∠3 in the two column proof table is; shown in the various steps and concludes with subtraction property of equality
How to complete the two column proof?We are given;
∠1 and ∠2 are supplements
∠3 and ∠4 are supplements
∠1 ≅ ∠4
Now, since ∠1 and ∠2 are supplements, it means that;
m∠1 + m∠2 = 180° because of the definition of supplementary angles.
Since ∠3 and ∠4 are supplements, it means that;
m∠3 + m∠4 = 180° because of the definition of supplementary angles.
We are told that ∠1 ≅ ∠4
Thus;
m∠1 + m∠2 = m∠3 + m∠1 (Substitution property of equality)
Finally, we can reduce to get;
m∠2 = m∠3 (subtraction property of equality)
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Related Questions
the circumference of a circle is 264 cm find its area
Answers
Answer:
5544 cm²
Step-by-step explanation:
Radius of circle = r
Circumference = 2πr
2πr = 264
22/7*r = 132
r = 132*7/22
= 42 cm
Area = πr²
= 22/7*42*42
= 5544 cm²
The table above gives selected values of twice-differentiable functions f and g, as well as the first two derivatives of g. If f′ (x)=3 for all values of x, what is the value of [tex]\begin{equation}\int_{2}^{4} f(x) g^{\prime \prime}(x) d x\end{equation}[/tex]
Answers
Answer:
63
Step-by-step explanation:
∫₂⁴ f(x) g"(x) dx
Integrate by parts.
If u = f(x), then du = f'(x) dx.
If dv = g"(x) dx, then v = g'(x).
∫ u dv = uv − ∫ v du
= f(x) g'(x) − ∫ g'(x) f'(x) dx
f'(x) is constant at 3, so:
= f(x) g'(x) − ∫ 3 g'(x) dx
= f(x) g'(x) − 3 g(x)
Evaluate from x=2 to x=4.
[f(4) g'(4) − 3 g(4)] − [f(2) g'(2) − 3 g(2)]
[(13) (7) − 3 (9)] − [(7) (1) − 3 (2)]
64 − 1
63
The required value of [tex]\int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex] is 63.
Given that,
The table above gives selected values of twice-differentiable functions f and g,
The first two derivatives of g. If f′ (x) = 3 for all values of x.
We have to determine,
What is the value of [tex]\int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex].
According to the question,
To obtain the value of given function, integrating the function,
[tex]= \int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex]
Integrating by using by-parts.
[tex]= \int\limits^4_2 {f(x)g"(x)} \, dx (1)\\\\if\ u = f(x), \ then \ du = f'(x)dx\\\\if \ dv = g"(x)dx, \ then \ v = g'(x)\\\\[/tex]
Then,
[tex]\int u\ dv = uv\ - \ \int v \ du\\\\= f(x) \ g'(x) - \int g'(x) f'(x) \ dx\\[/tex]
if f'(x) is constant at 3,
Then,
[tex]= f(x) g'(x) - \int g'(x)\dx\\\\= f(x) g'(x) -3g(x)[/tex]
Substitute from x = 2 to x = 4 then evaluate,
[tex]= [f(4)\ g'(4) - 3 \ g (4)]- [f(2)\ g'(2) - 3 \ g (2)]\\\\= [(13).(7) - 3.(9)] - [7.(1)- 3.(2)]\\\\= [91-27} - {7-6}\\\\= 64-1\\\\= 63[/tex]
Hence, The required value of [tex]\int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex] is 63.
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A queen ant lays 1.83 x 10^6 eggs over a period of 30 days. Assuming she lays the same number of eggs each day, about how many eggs does she lay in one day? Express your answer in scientific notation.
Answers
What is standard form?
Y = mx + b
O Ax+By = C
a^2 + b^2 = 2^2
m is the slope
Answers
Answer:
I'm pretty sure y=mx+b is standard form, unless I'm reading the question wrong.
Step-by-step explanation:
y - 1 > -7 A.y ≥ -6 B.y > -6 C.y -8
Answers
Step by Step:
y-1>-7
y>-7+1
y>-6
3. Which is the most precise measurement?
120 cm
128 cm
128.77 cm
128.8 cm
Answers
I think it is 128.77 cm. Because it has the most numbers, and it is presice.
An expression has a division symbol and a subtraction symbol. Is there any situation in which you would perform the subtraction before the division
Answers
Answer:
no
Step-by-step explanation:
Evaluate m+n for m = 9 and n=7
Answers
Answer:
16
Step-by-step explanation:
Step-by-step explanation:
M=9 so m+n becomes 9+n.
N=7 so 9+n becomes 9+7.
9+7=16
The formula d = rt gives the distance, d, traveled in time, t, at rate, r. A motorcycle traveled 67.2 mi in 1.2 h. What was its average speed (rate)? 30 mph 56 mph 66 mph 80 mph
Answers
Answer:
56mph
Step-by-step explanation:
If d=rt,
then s=d/t,
so if d=67.2 and t=1.2,
then 67.2/1.2=56
ve the equation. 3c + 1 = c +1
Answers
2c + 1 = 1
Subtract 1 on both sides
2c = 0
The solution is:
x = 0
Hope this helped
5. What single rigid motion can move the solid figure onto the dashed figure?
Translation
Dilation
Reflection
Rotation
Answers
Answer:
Rotation
Step-by-step explanation:
If you were to translate it, it wouldn't match up because it needs to be turned around. translation just involves moving the shape without rotating it. a dilation means that you're changing the size, and you're not supposed to do that for this problem. a reflection means that if you were to fold in between these two shapes, they would match up. They Don't in this case so that won't work. A rotation is the only way to get it so that all of the areas match up.
The sum of two consecutive odd numbers is 72. Find the numbers
Answers
Answer:
Step-by-step explanation:
(2n - 1) and (2n + 1) So, 2n -1 + 2n + 1 = 72. 4n = 72.
n = 18. So, The odd numbers are.
(2n - 1) = ((2 x 18) - 1) = 35. and,
(2n + 1) = ((2 x 18) + 1) = 37.
Step-by-step explanation:
please solve this step by step I'll mark you as brainliest b(a-6)=
Answers
ab-6b is the answer
can yall pls help me im kinda dumb
Answers
The answer is D.
Turning fractions into decimals will help you eliminate answers!!
How I got D:
-2 3/4 can be turned into -2.75 by dividing 3/4.
-2 3/4 is the smallest number out of all of them so it has to be first.
-2.67 is the second smallest value.
3/5 is .60 making it the third smallest value.
4 is the second largest value.
17/4 is 4.25, which is the largest.
A is not correct because -3/5 is not the smallest number.
B Is not correct because the largest number is 17/4.
C is not correct because -2.67 is not the smallest number.
9z − 6z − –7z + –4 = 16 z=
Answers
Answer:
z=-[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Given h(x) = -3x – 5, solve for x when h(x) = –2.
Answers
3=-3x
x=-1
i think that’s the correct answer if h(x) is -2 assuming its y
The value of x will be equal to -1 when the value of h(x) is -2.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that h(x) = -3x – 5, and the value h(x) = -2. The value of x will be calculated as below:-
h(x) = -3x – 5,
-2=-3x -5
3=-3x
x=-1
Therefore, the value of x will be equal to -1 when the value of h(x) is -2.
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Create a table and graph the equation y+3x=x^2. Identify the intercepts (if any)
Answers
Answer:
.
Step-by-step explanation:
Solve equation for y. 6=4x+9y
Answers
Robert and his younger sister are selling gift wrap to raise funds for the middle school band. Robert's sales are 2.5 times his sister's sales. Their total sales together can be represented by the equation x+2.5x= 63 . Which of these statements are true? Choose ALL that are correct. A. Robert's sales are represented by x when solving 3.5x= 63 . B. Robert's sister's sales total $18.00. C. Robert's sales total $25.20. D. Robert's sister's sales are represented by x when solving 3.5x= 63 . E. Robert's sales are represented by x when solving 2.6x= 63 .
Answers
Answer:
The answer is B. and D.
Step-by-step explanation:
if you solve the equation, you will find that X=18. Since his sister's sales are X, his sister sold 18. You multiply by 2.5 to find Robert's sales.
The correct statements are (B) and (D).
What is an equation?Two or more expressions with an equal sign are defined as an equation.
The given equation is x + 2.5x = 63.
Note that Robert's sales are 2.5 times his sister's sales, therefore, if his sister's sales is x then his sales are 2.5x
Hence, option (A) is incorrect, as Robert's sales are 2.5x.
Solve the equation as follows:
x + 2.5x = 63
3.5x = 63
x = 63/3.5
x = 18
Hence, option (B) is correct.
Since x=18, Robert's sales are:
2.5 × 18
= 45
Hence, option (C) is incorrect, as Robert's sales are $45, not $25.20.
Option (D) is already shown to be correct.
Option (E) is also incorrect, as option (D) is correct.
Hence, the correct statements are (B) and (D).
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3y + 8 = ½ y + 28 Find y
Answers
[tex]\text{Hi there! :]}[/tex]
[tex]\large\boxed{y = 8}[/tex]
[tex]3y + 8 = 1/2y + 28\\\\\text{Subtract 8 from both sides:}\\\\3y + 8 - 8 = 1/2y + 28 - 8\\\\3y = 1/2y + 20\\\\\text{Subtract 1/2y from both sides:}\\\\3y - 1/2y = 1/2y - 1/2y+ 20\\ \\\text{Convert 3y to 6/2y to make subtracting easier:}\\5/2y = 20\\\\\text{Divide both sides by 5/2 (Multiply by reciprocal, or 2/5):}\\\\\\5/2y * 2/5 = 20 * 2/ 5\\\\y = 8[/tex]
can someone please help me i don’t understand it
Answers
Answer:
d= bv + r
Treat it like you would a normal equation. Multiply by b and add r to isolate d.
Solve for a brainlist
(Goes to first person)
7•3=?
Answers
Answer:
21Step-by-step explanation:
[tex]7\cdot \:3\\\mathrm{Multiply\:the\:numbers:}\:7\cdot \:3=21\\=21\\[/tex]
Answer:
21
Step-by-step explanation:
Irrational numbers definition
Answers
9000 divided by thirty six long division***
Answers
Answer:
250
Step-by-step explanation:
How to write y = -4(x+6)(x-8) into standard form
Answers
Step-by-step explanation:
y = -4(x+6)(x-8)
= -4[x²-2x-48]
= -4x²+8x+192
(4 x 10^4) x (2 x 10^-5)
A) 8 x 10^1
B) 8 x 10^-1
C) 2 x 10^9
D) 6x 101-1.
Answers
Use the commutative property to reorder the terms.
(4•2)•(10^4 • 10^-5 )
Multiply the numbers. Multiply the terms with the same base by adding their exponents.
8•10^4-5
Calculate the difference and you get 8•10^-1
Hope this helps ʕ•ᴥ•ʔ
can someone please help me
Answers
Answer:
i think its 9, i dont exactly know
Step-by-step explanation:
The table shows the distance that two trains are from Center Station at various times of the day.
Miles From Center Station
Time of day
Train 1
Train 2
11:30
13
7
12:00
31
27
12:45
58
57
How do the speeds of the trains compare?
Train 1 is traveling 1 mile per hour faster than train 2.
Train 1 is traveling 6 miles per hour faster than train 2.
Train 2 is traveling 4 miles per hour faster than train 1.
Train 2 is traveling 5 miles per hour faster than train 1.
Answers
Answer: Train 2 is traveling 4 miles per hour faster than train 1.
Step-by-step explanation:
Answer:
Train 2 is traveling 4 miles per hour faster than train 1.
Step-by-step explanation
:)))))
Which is the best estimate of
(-3/5)(17 5/6)
A. -18
B. -9
C.9
D.18
Answers
Answer:
c!
Step-by-step explanation:
have a great day! (sorry this was late!)
5x +14+13x-2 i need help on these type of problems please
Answers
Answer:
18x+12
Step-by-step explanation:
5x+14+13x-2
combine Like terms:
5x+13x
14-2
18x+12
Answer:
The answer is 18x+12.
I think after 14 there should equal sign if you want to know what x equals to.