Answers
Answer:
[tex]m = n[/tex] --> Corresponding angle
[tex]x = y[/tex] --> Vertically opposite
Step-by-step explanation:
Given
The attachment
Required
State the reason for the given statements
m = n
m and n are corresponding angles.
So:
[tex]m = n[/tex]
x = y
x and y are vertically opposite angles
So:
[tex]x = y[/tex]
[tex]y + n = x + m[/tex]
In (b)
[tex]x = y[/tex]
Add m to both sides
[tex]x + m = y +m[/tex]
In (a) [tex]m = n[/tex]
So, substitute n for m on the left hand side
[tex]x + n = y + m[/tex]
Related Questions
Select the number(s) that make the inequality true,
Select all that apply.
m > 0
A.0.
B.1
c.2
D.3
E.-1
Answers
Answer:
A and E
Step-by-step explanation:
Find the value of a.
Answers
Answer:
71 degrees
Step-by-step explanation:
Let's close the top part of the picture to make a parallelogram.
A parallelogram's four angles at each corner MUST be equal to 360 degrees.
Another property of a parallelogram is the opposite angles are congruent, meaning they're equal.
So, using these properties, we can now solve for a.
[tex]360=a+a+109+109\\360=2a+218\\142=2a\\71=a[/tex]
A circles radius is 13 meters what is the circles area using 3.14 rounded to the nearest tenth
Answers
Answer:
530.7
Step-by-step explanation:
A circle's area is defined as πr²
You would substitute 13 in for r (the radius) and use 3.14 as your given value for pi, leaving you with this:
3.14×13²
When you calculate this, it should return a value of 530.66, which rounded to the nearest tenth is 530.7
Hope this helps!
what is the lcm for 3/4and 1/2
Answers
Answer:
1 1/2
Hope that helps!
Step-by-step explanation:
Jacob bought 9 bags of balloons. Each bag has 25 balloons. He fills all the balloon and puts 5 balloons in each bunch. How many bunches can he make please help me
Answers
9 x 25 = 225
225 divided by 5= 45
So Jacob can make 45 bunches
Hopefully I’m right :)
18 less than four times a number is 5.
Answers
I think the mathematical equation for this sentence is
(Step 1)
4x-18=5 Add 18 to both sides to get the numbers on the same
+18 | +18 Side of the equals sign.
----------------------
4x =23
(Step 2)
4x =23 / 4 Divide equation by four
x=5.75 The answer is X=5.75
Hope I was able to help :)
Answer:
Assuming you wanted to find that mystery number:
It would be 5.75.
Step-by-step explanation:
5 = 4x - 18
Add 18 to both sides of the equation:
5 + 18 = 4x - 18 + 18
23 = 4x - 18 + 18
23 = 4x
Divide each side by 4:
(23/4) = (4x/4)
23/4 = x
5.75 = x
x = 5.75
I need help I’ll give brainliest
Answers
Answer:
i don't know c
Step-by-step explanation:
Helppppppp I WILL GIVE U THE BRAINLEST!!!!
ANSWER ALL THE QUESTIONS!!!
Answers
Circumference is the distance around
diameter is the line that goes from one side through the middle to the other side
origin is (0,0)
pi is 3.14
radius is the line that goes from the center to the side and can go any direction
Hope this helps!!!!
Anna, Brianna and Caleb share some money in the ratio 5:3:7
Caleb receives £9.60 more than Brianna.
What was the total of the sum of money that was shared?
(3 punten)
Answers
Answer:
£36
Step-by-step explanation:
7-3=£9.60/4
4units=£9.60
1 u=£9.60÷4=£2.40
total units->5+3+7=15
15 units=15×£2.40=£36
2/3(x+6)=-18 I need the answer help me!!
Answers
Answer:
x = -33
Step-by-step explanation:
2/3(x+6) = -18
multiply (x+6) by 2/3
2/3x + 4 = -18
subtract 4 from both sides
2/3x + 4 - 4 = -18 - 4
2/3x = -22
multiply by 3/2
2/3 x 3/2 x = -22 x 3/2
x = -33
Step-by-step explanation:
so we basically simplify the equation to the form, which is simple to understand
2/3(x+6)=-18 then Reorder the terms in parentheses
+( + 0.66666666666667x+4)=-18 after that
Remove unnecessary parentheses
+ 0.66666666666667x+4=-18 then We move all terms containing x to the left and all other terms to the right.
+ 0.66666666666667x=-18-4 so We simplify left and right side of the equation.
+ 0.66666666666667x=-22 We divide both sides of the equation by 0.66666666666667 to get x.
x=-33 get it?
Write and equation in slope intercept form to model the situation.
A candle is 8 inches tall and burns at 3/4 inch each hour.
Answers
Answer:
The equation that models the situation is [tex]y = 8 - 0.75t[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line, in slope-intercept formula, has the following format:
[tex]y = mx + b[/tex]
In which m is the slope(how much y changes when x changes by 1 unit) and b is the intercept, which is the value of t when x = 0.
A candle is 8 inches tall and burns at 3/4 inch each hour.
Using t as number of hours and y as the height.
Initial height of 8 inches, that is, when [tex]t = 0, y = 8[/tex], so [tex]b = 8[/tex]
Burns at 3/4 inch each hour.
That is, the height decreases by a rate of 3/4 inch each hour, so [tex]m = -\frac{3}{4} = -0.75[/tex]
So
[tex]y = 8 - 0.75t[/tex]
How do you write 9.01 x 103 in standard form?
Answers
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
[tex]9.01 \times {10}^{3} = 9.01 \times 1000 = 9010[/tex]
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
Math question for 30 points please answer correctly
Answers
Answer:
D. The rate of change for function B is greater than the rate of change for function A
Step-by-step explanation:
Function a has a slope (aka rate of change) of 3/3
I know this because we start at (-3, 0) then finish at (0, 3)
We added 3 to both the x value and the y value.
3/3 = 1, so we have a rate of change of 1 for function A
Now that we know this, we can write the equation out into slope intercept form.
We can get y = x + 3
The equation for function B is y = 5x + 5
The slope for function B is greater, therefore the rate of change for function B is greater than the rate of change for function A
What is the slope of the line x=-1x=−1x, equals, minus, 1? Choose 1 answer: Choose 1 answer: (Choice A) A -1−1minus, 1 (Choice B) B 000 (Choice C) C 111 (Choice D) D Undefined
Answers
Answer:
B and a good time to get answer of your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and
Whoever can answer this will get brainlyest
Answers
Answer:
44
Step-by-step explanation:
[tex]\frac{x}{77} =\frac{32}{56}\\\\x = \frac{32}{56}*77 = \frac{4}{7}*77 = 4 *11[/tex]
x = 44
Marking brainliest
Please help
Answers
Answer:
D
Step-by-step explanation:
That's the answer.......
Answer:
D
Step-by-step explanation:
Which is closest to the quotient 4,367 ÷ 0.004 A. 1,000 B. 10,000 C. 100,000 D. 1,000,000 explain how you got the answer pls btw 6th grade
Answers
A calculator would answer this, but i’m assuming your asked to make a estimate without a calculator. An easier way to look at dividing by fractions would be multiplying by its reciprocal
Since this fraction is .004 or 4/1000 the reciprocal would be 1000/4, or 250.
Since 250 times 4,367 is still a relatively hard multiplication problem. I would just make the 250, 200.
Now that the problem is simplified, a trick when multiplying any number divisible by 10, is to take the zeros out, multiply the number, then add them back.
So 4,367 x 2 = about 8,600, then adding two 0s from the 200, that is now 860,000.
Looking at the answers the closest to this is 1,000 so the answer is D
Answer:
D) 1,000,000
Step-by-step explanation:
Here it is.
Time Remaining
This Question: 1 pt
9 of 9
T
The perimeter of a rectangular garden is 68 yards. The width of the garden is five yards less than twice the length.
(a) Find the length and width of the garden.
(b) What is the area of the garden?
The length of the garden is
(Type an integer or a decimal.)
The width of the garden is
V (Type an integer or a decimal.)
The area of the garden is
(Type an integer or a decimal.)
Answers
Answer:
a. Length = 13 yards and Width = 21 yards.
b. Area of rectangle = 273 square yards.
Step-by-step explanation:
Let the length of the rectangular garden be L
Let the width of the rectangular garden be W
Given the following data;
Perimeter of garden = 68 yards
Translating the word problem into an algebraic equation, we have;
W = 2L - 5 ......equation 1
Note: The formula for calculating the perimeter of a rectangle is;
[tex]P = 2L + 2W[/tex]
68 = 2L + 2W ........equation 2
Substituting eqn 1 into eqn 2;
68 = 2L + 2(2L - 5)
68 = 2L + 4L - 10
68 = 6L - 10
6L = 68 + 10
6L = 78
L = 78/6
L = 13 yards
To find the width;
W = 2L - 5
W = 2(13) - 5
W = 26 - 5
W = 21 yards.
b. To find the area of the garden;
Area of rectangle = length * width
Area of rectangle = 13 * 21
Area of rectangle = 273 square yards.
PLEASE HELP ME !!!!!!!!
Answers
A motel clerk counts his $10 bills and $20 bills at the end of the day. He finds that he has a total of 150 bills, and that those 150 bills have a total value of $2,000. How many $10 bills and $20 bills does the motel clerk have?
Translate the problem into 2 equations.
Let the x be the number of $10 bills and y be the number of $20 bills.
Answers
Answer:
100 $10 bills and
50 $20 bills
Step-by-step explanation:
Given
[tex]x = \$10[/tex]
[tex]y = \$20[/tex]
[tex]Bills = 150[/tex]
[tex]Value = \$2000[/tex]
Required
Determine the number of $10 and $20 bills
[tex]Bills = 150[/tex].
This implies that:
[tex]x + y = 150[/tex]
[tex]Value = \$2000[/tex]
This implies that:
[tex]10x + 20y = 2000[/tex]
So, the equations are:
[tex]x + y = 150[/tex]
[tex]10x + 20y = 2000[/tex]
Make x the subject in the first equation
[tex]x = 150 -y[/tex]
Substitute 150 - y for x in the second
[tex]10(150 - y) + 20y= 2000[/tex]
[tex]1500 - 10y + 20y= 2000[/tex]
[tex]1500 + 10y = 2000[/tex]
[tex]10y = 2000-1500[/tex]
[tex]10y = 500[/tex]
[tex]y =50[/tex]
Recall that:
[tex]x = 150 -y[/tex]
[tex]x = 150 -50[/tex]
[tex]x = 100[/tex]
Given m || n, find the value of x and y.
Answers
answer:
y = 35
x = 35
explanation:
y and 35 are vertical angles therefore are equal.
x and 35 are alternate interior angles therefore are equal.
if correct, please mark the brainliest :)
Answer:
Both values equal 35 degrees
Step-by-step explanation:
This is because y and the angle that shows 35 degrees are vertical angles, meaning they have the same measurements. x and y are corresponding angles, which means they also have the same measurements.
Hope this helps :)
what is the speed, if distance is 900 miles and time 300 minutes
Answers
Answer:
3 mi/min
Step-by-step explanation:
speed =distance/time
900/300=3
Find the missing side length of this right triangle
Answers
Answer:
41
Step-by-step explanation
because this triangle is a right triangle , u know that u can use pythagorean theroem to solve this.
the pythogorean theroem is [tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]. the hypotenuse is the longest side or the one that the right angle is pointing to. in the equation , the hypotenuse is represented by c.
so then u juss plug in the numbers that you have so 9 sqaured + 40 squared is equal to c sqaured.
then when you simplify that you end up with 81+1600=[tex]c^{2}[/tex]
then you add the two numbers and you get 1681=[tex]c^{2}[/tex]
u have to get the variable by itself so you find the sqaure root of each side which would look like [tex]\sqrt{1681}[/tex]=[tex]\sqrt{c}[/tex]
simplify that, and you get c=41
hopefully that helped ! :)
Please help ASAP. Thanks so much.
Answers
Answer:
D. 1/9
Step-by-step explanation:
The x-coordinate is -1/3
HELP Please!!
Jonathan leans three playing cards against each other to form a triangle. He uses three more playing cards from the same deck to form a second triangle. Which statement is true?
1. In order to determine if the two triangles are congruent Jonathan must measure all three interior angles.
2. In order to determine the two triangles are congruent Jonathan must measure one interior angle .
3. The two triangles cannot be congruent because sides cannot be used to prove congruency.
4. The two triangles must be congruent because the corresponding sides in both triangles are congruent
Answers
Answer: Michelle it’s 4
Step-by-step explanation: they are from the same deck
Please help with this question and give an explanation if possible
Answers
Answer:
B. -15
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityCalculus
Integrals
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Swapping Limits]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = -\int\limits^a_b {f(x)} \, dx[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Integration Property [Splitting Integral]: [tex]\displaystyle \int\limits^c_a {f(x)} \, dx = \int\limits^b_a {f(x)} \, dx + \int\limits^c_b {f(x)} \, dx[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int\limits^3_{-1} {[2g(x) + 4]} \, dx = 22[/tex]
[tex]\displaystyle \int\limits^{-1}_{10} {g(x)} \, dx = 12[/tex]
[tex]\displaystyle \int\limits^{10}_{3} {g(x)} \, dx = z[/tex]
Step 2: Redefine
Manipulate the given integrals.
[Integrals] Combine [Integration Property - Splitting Integral]: [tex]\displaystyle \int\limits^{-1}_{10} {g(x)} \, dx + \int\limits^{10}_3 {g(x)} \, dx = \int\limits^3_{10} {g(x)} \, dx[/tex][Integrals] Rewrite: [tex]\displaystyle \int\limits^3_{10} {g(x)} \, dx = \int\limits^{-1}_{10} {g(x)} \, dx + \int\limits^{10}_3 {g(x)} \, dx[/tex][Integrals] Substitute in variables: [tex]\displaystyle \int\limits^{-1}_3 {g(x)} \, dx = 12 + z[/tex][Integrals] Rewrite [Integration Property - Swapping Limits]: [tex]\displaystyle -\int\limits^3_{-1} {g(x)} \, dx = 12 + z[/tex][Integrals] [Division Property of equality] Isolate integral: [tex]\displaystyle \int\limits^3_{-1} {g(x)} \, dx = -(12 + z)[/tex][Integrals] [Distributive Property] Distribute negative: [tex]\displaystyle \int\limits^3_{-1} {g(x)} \, dx = -12 - z[/tex]Step 3: Solve
[Integral] Rewrite [Integration Property - Addition]: [tex]\displaystyle \int\limits^3_{-1} {2g(x)} \, dx + \int\limits^3_{-1} {4} \, dx = 22[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle 2\int\limits^3_{-1} {g(x)} \, dx + 4\int\limits^3_{-1} \, dx = 22[/tex][Integral] Substitute in integral: [tex]\displaystyle 2(-12 - z) + 4\int\limits^3_{-1} \, dx = 22[/tex][Integral] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle 2(-12 - z) + 4(x) \bigg| \limits^3_{-1} = 22[/tex][Integral] Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle 2(-12 - z) + 4(3 - -1) = 22[/tex][Integral] (Parenthesis) Simplify: [tex]\displaystyle 2(-12 - z) + 4(3 + 1) = 22[/tex][Integral] (Parenthesis) Add: [tex]\displaystyle 2(-12 - z) + 4(4) = 22[/tex][Integral] Multiply: [tex]\displaystyle 2(-12 - z) + 16 = 22[/tex][Integral] [Subtraction Property of Equality] Subtract 16 on both sides: [tex]\displaystyle 2(-12 - z) = 6[/tex][Integral] [Division Property of Equality] Divide 2 on both sides: [tex]\displaystyle -12 - z = 3[/tex][Integral] [Addition Property of Equality] Isolate z term: [tex]\displaystyle -z = 15[/tex][Integral] [Division Property of Equality] Isolate z: [tex]\displaystyle z = -15[/tex][Integral] Back-Substitute: [tex]\displaystyle \int\limits^{10}_{3} {g(x)} \, dx = -15[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Integration
Book: College Calculus 10e
how do you know that the expression 2x + 4y is not equivalent to 6xy
Answers
Answer:
The expression is not equivalent because you cannot combine 2 variables that are different from eachother.
Step-by-step explanation:
you are able to add 2+4 but because they have variables with them, x and y, you can not add them together.
Please help ASAP. Thanks so much
Answers
Answer:
y = -48
x = 0
Step-by-step explanation:
Which relationship describes angles 1 and 2?
(Correct answer gets brainliest.)
Answers
Answer:
angle 1 = angle 2
Step-by-step explanation:
1 and 2 are corresponding angles meaning if they are equal but on opposite sides. If you now for example angle 1 = 20 , 2= is also 20. This is helpful to know if you want to solve for x on one of these angles
Answer:Complimentary angle
Step-by-step explanation:
Store A sells 12 juice bottles for $4 and store B sells 18 juice bottles for $6. Are these rates equivalent? Explain your reasoning.
Answers
Answer:
these rates are equivalent.
12bottles/$4= 18bottles/$6= 3bottles/$1
Step-by-step explanation:
