The measure of angles are opposite angles where ∠2 = 37°'
What are the angles formed by 2 intersecting lines?Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.
Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.
When lines intersect, two angle relationships are formed:
Opposite angles are congruent
Adjacent angles are supplementary
Given data ,
Let the two intersecting lines be m and n
where the measure of ∠4 = 37°
When lines intersect, two angle relationships are formed:
Opposite angles are congruent
Adjacent angles are supplementary
So , the measure of ∠2 = ∠4
On simplifying , we get
The measure of angle ∠2 = 37°
Hence , the angle is ∠2 = 37°
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with a length of 24 inches, a width of 12 inches, and a height of 16 inches, what is the volume?
Answer:
The volume is 4,608.
Step-by-step explanation:
To solve for volume, multiply the length (l), width (w), and height (h) values together. So, 24 * 12 * 16 = 4,608. Therefore, the volume is 4,608. Good luck!
if x= -1 and y=2 is the solution of the simultaneous equations,
ax-by= 1
ay+bx= - 7
find the value of a and b with the proper steps
Answer:
a = -3, b = 1
Step-by-step explanation:
1. Plug in the given values into the equations:
a(-1) - b(2) = 1
a(2) + b(-1) = -7
2. Isolate a in the first equation:
a(-1) - b(2) = 1 = a · -1 - b · 2 = 1
-a - 2b = 1
-a -2b+2b = 1+2b
-a = 1 + 2b
[tex]\frac{-a}{-1} =\frac{1}{-1} +\frac{2b}{-1}[/tex]
a = -1 - 2b
3. Substitute "a = -1 - 2b" in for a in the second equation:
(-1 - 2b)2 + b(-1) = -7
4. Simplify:
-2 - 4b + b(-1) = -7
-2 - 4b -b = -7
-2 -5b = -7
5. Isolate for b:
-2+2 - 5b = -7+2
-5b = -5
[tex]\frac{-5b}{-5} =\frac{-5}{-5}[/tex]
b = 1
6. Substitute the b value into an equation to solve for a:
a = -1 -2 · 1
a = -3 · 1
a = -3
hope this helps!
1
(2 × 105) + (5 × 104)
4.52+10.82
4
Answer:
a) 5.85
b) 0.0004
Step-by-step explanation:
[tex]a) \: \: \sqrt{ \frac{ {4.5}^{2} + {10.8}^{2} }{4} } \\ \\ = \sqrt{ \frac{ 20.25 + 116.64 }{4} } \\ \\ = \sqrt{ \frac{136.89}{4} } \\ \\ = \sqrt{34.2225} \\ \\ = 5.85 \\ \\ b) \: \: \frac{1}{(2 \times {10}^{5} ) + (5 \times {10}^{4}) } \\ \\ = \frac{1}{(20\times {10}^{4} ) + (5 \times {10}^{4}) } \\ \\ = \frac{1}{(20 + 5) \times {10}^{4} } \\ \\ = \frac{1}{25 \times {10}^{4} } \\ \\ = 0.04 \times {10}^{ - 4} \\ \\ = 0.0004[/tex]
What is the value of this expression?
27+4×(8−4)
Answer:
43
Step-by-step explanation:
First, you have to find the value inside the parentheses. That would be 8-4, which is 4.
Now, use the rule of Pedmas, or Bedmas, whatever you prefer. That is Parentheses, exponents, multiplication, addition, subtraction. So, now you have the equation:
27 + 4 x 4.
You would multiply before addition, as shown above, so you would get:
27 + 16
which would equal:
43.
A rectangular prism has a volume of 120 cubic inches. The length of the prism is 5 inches, the width iS (x-2) inches, and the height is (x+3) inches. What are the width and height of the prism?
A
width: 6 in., height: 4 in.
B
width: 8 in., height: 3 in.
width:
in. height: 6 in.
D
width: 3 in., height: 8 in.
d
What is the missing angle?
3x + 27 =180
-27
3x = 153
÷3
x = 51
a=142
(vertically opposite angles are equal)
Reflex angles adds up to 360
360 - (142x2) = 76
76/2 = 38
t & c = 38
Hope this helps!
Answer:
Here you go :) if you need anything tell me!
A group of hikers buys 8 bags of mixed nuts. Each bag contains 3 and 1/2 cups of mixed nuts. the mixed nuts are shared evenly among 12 hikers. How many cups of mixed nuts will each hiker receive? Explain your answer
Answer:
2 1/3 cups for each hiker
Step-by-step explanation:
8bags x 3.5 cups in each bag =28 cups in total
28 cups shared among 12 hikers = 28/12 = 2 1/3 cups for each hiker
Which property of addition is shown in the equation below? a bi 0 0i = a bi commutative property inverse property identity property associative property
The property of addition that is shown in the equation (a+bi)+(0+0i)=(a+bi) is the identity property of addition.
What is the Identity property of addition?The identity property of addition states that when any number and 0 are added, the result will be the number itself.
The property of addition that is shown in the equation [tex](a+bi)+(0+0i)=(a+bi)[/tex] is the identity property of addition.
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Answer:
C Identity property
Step-by-step explanation:
Edge 2022
On the number line 0/2 1/2 2/2 3/2 4/2 5/2 6/2 7/2 8/2 what fraction on this number line is equal to one
Answer:
2/2
Step-by-step explanation:
all the number are either improper or mixed number etc.
2/2= 1
and u wanted to know which equals one and that is 2/2 because it is 1 whole.
please help, thanks if you do
Answer:
Step-by-step explanation:
f(x) = (-2)^x
x = 3 from the left
f(3) = (-2) ^3
f(3) = (-2) * (-2) * (-2)
f(3) = - 8
You have to realize that you are working with an exponential equation (that is x is a power, not a variable. A variable equation would be written as y = 3x
The function f(t) = -16t2 + 64t + 5 models the height of a ball that was hit into the
air, where t is measured in seconds and h is the height in feet.
This table represents the height, g(t), of a second ball that was thrown into the air.
Time,
(in seconds)
0
Height, g(t)
(in feet)
4
1
2
36
36
4
3
Which statement BEST compares the length of time each ball is in the air?
The ball represented by f(t) is in the air for about 4 seconds, and the ball
represented by g(t) is in the air for about 3 seconds.
The ball represented by f(t) is in the air for about 5 seconds, and the ball
represented by g(t) is in the air for about 3 seconds.
The ball represented by f(t) is in the air for about 3 seconds, and the ball
represented by g(t) is in the air for about 5 seconds.
The ball represented by f(t) is in the air for about 3 seconds, and the ball
represented by g(t) is in the air for about 4 seconds.
The best statement that compares the length of time each ball is in the air is seen in the second option.
What is the function of a quadratic equation?A quadratic function follows the condition: f(x) = ax² + bx + c. Here (a, b, and c) are real numbers and a ≠ 0.
From the given information:
The function f(t) = -16t² +64t + 5 models the height of a ballWhere;
time (t) ⇒ secondsheight (h) ⇒ feetThe table given is as follows:
Time (in seconds) height, g(t) in feet
0 4
1 36
2 36
3 4
From the table, when t = 0, the function becomes:
f(t) = -16t² +64t + 5
f(t) = -16(0)² + 64(0) + 5
f(t) = 5
Therefore, we can conclude that the best statement that compares the ball is: f(t) is in the air for about 5 seconds, and the ball represented by g(t) is in the air for about 3 seconds.
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I need help with this maths question
Answer:
7,986
Step-by-step explanation:
Picture that shows steps and how to do it with formula!!
Hope this helped!!!
~ Kaitlyn
Please help me
What evidence does the article provide to support one claim in favor of adding expanded learning time?
A: Andover school are already top performers in state.
B: Funding for longer school days in only guaranteed for one year.
C: Some are convinced that ELT will encourage positive parent involvement.
D: More time is needed for current academic lessons and special projects.
Answer:
D
Step-by-step explanation:
More time is needed for current academic lessons and special projects.
What is -20sin(theta)-10=0
Answer:
~ 3.473
Step-by-step explanation:
Assuming that theta means the middle angle at the origin, you are simply finding the sine of -10, and then multiplying it by -20. Using a scientific calculator, sin -10 comes out to about -0.174. Multiplying this by -20 gives us about 3.473.
Hope this helps!
If you invest $8,600 at a 3.95% simple annual interest rate, approximately how long will it take for you to have a total of $21,000? a. 25.3 years b. 36.5 years c. 45.9 years d. 60.7 years
The time taken to have a total of $21,000 is 36.5 years.
To calculate the time it takes to reach $21,000 with a simple annual interest rate, we can use the formula for simple interest:
Interest = Principal × Rate × Time
Where:
Interest is the additional amount earned on the initial investment (in this case, the difference between $21,000 and $8,600),
Principal is the initial investment ($8,600),
Rate is the annual interest rate (3.95% expressed as 0.0395),
and Time is the unknown variable we want to find.
We can rearrange the formula to solve for Time:
Time = Interest / (Principal × Rate)
Let's plug in the values:
Interest = $21,000 - $8,600 = $12,400
Principal = $8,600
Rate = 0.0395
Time = $12,400 / ($8,600 × 0.0395) ≈ 36.5
So, it will take approximately 36.5 years to have a total of $21,000.
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Point W is located at (-2,3) on a coordinate plane. Point W is reflected over the x-axis to create Point W. Point W is then reflected over the y-axis to create point W. What ordered pair describes the location of point W?
Answer: W is now at (2,-3)
Step-by-step explanation: flip by the x-axis to turn (-2,3) to (-2,-3) then flip it on the y-axis to turn (-2,-3) to (2,-3).
I need helpppppp please
Answer:
7/8
Step-by-step explanation:
7/8 is a larger fraction than 4/5, so the decimal must be larger. You can check this using a calculator, and dividing the numbers.
Answer:
C. 0.625
Step-by-step explanation:
You want to know if the given decimals are correctly written as the given fractions.
Decimal equivalentIt is generally easier to find the decimal equivalent of a fraction, but some calculators can go the other way, as well.
The decimal 0.625 corresponds to the fraction 5/8, not 7/8.
0.625 was converted incorrectly.
__
Additional comment
You can factor out 125 from numerator and denominator of the fraction equivalent of 0.625:
[tex]0.625=\dfrac{625}{1000}=\dfrac{5(125)}{8(125)}=\dfrac{5}{8}[/tex]
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HELP ASAP I REALLY NEED IT MY HEAD HURT BECAUSE OF THIS PLS WOULD GIVE 30pts If Jim spins the spinner 16 times, how many times would you predict the spinner to land on blue based on theoretical probability? Show your work in the box below the image.
Answer:
4
Step-by-step explanation:
Hey there!
To figure this out you need to calculate 4/16
that is 1/4
which is the size of one of the 1/4 circles
1/4 is equal to 4/16 which means the answer is 4
Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume the variable is positive.)
ln z(z − 1)^8, z > 1
Answer:
[tex]\ln z + 8\ln (z-1)[/tex]
Step-by-step explanation:
[tex]\ln z(z-1)^8[/tex]
Using the product rule: [tex]\ln(xy)=\ln x + \ln y[/tex]
[tex]\implies \ln z + \ln (z-1)^8[/tex]
Using the power rule: [tex]\ln x^n=n \ln x[/tex]
[tex]\implies \ln z + 8\ln (z-1)[/tex]
[tex]\\ \rm\Rrightarrow lnz(z-1)^8[/tex]
[tex]\\ \rm\Rrightarrow lnz+ln(z-1)^8[/tex]
lna^b=blna[tex]\\ \rm\Rrightarrow lnz+8ln(z-1)[/tex]
50 points pls help!!!!!!
Make sure you are right I will have to retake this if you are wrong
if the terminal point of Ø is (0,1), what is tan Ø?
undefined
1
1/2
0
Answer:
undefined
Step-by-step explanation:
Since, the terminal point of is (x,y), thus
[tex]tan[/tex] Ø [tex]\frac{y}{x}[/tex]
x-coordinate is 1 and the y-coordinate is 0. Using [tex]tan0=\frac{y}{x}[/tex] we get:
[tex]tan[/tex] ∅ [tex]=\frac{1}{0}[/tex]
[tex]tan[/tex] ∅ [tex]=0[/tex]
Therefore, tan Ø is undefined.
Or we can just do 1/0 which is undefined
~Lenvy~
Q17.
Jim wants to buy 10 rolls of wallpaper
He sees these prices.
Wallpaper
Single roll £12. 50
Pack of 3 rolls
£34. 50
Pack of 5 rolls
€58. 75
What is the cheapest price for 10 rolls?
Dahlia runs a fruit store. She started Monday with 22 cherries in stock. During the day, she sold 19 cherries and got a shipment of fresh cherries. The shipment contained 3 times as many cherries as she started the day with. How many cherries does Dahlia have in stock at the end of the day?
The amount of cherrries that Dahlia has in stock at the end of the day is 69.
How many cherries does Dahlia have in stock at the end of the day?The first step is to determine the number of cherries that were remaining after 19 were sold.
Cherries remaining = 22 - 19 = 3
Number of cherries in the shipment == 22 x 3 = 66
Total number of cherries at the end of the day = 66 + 3 = 69
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What is the mean of the data set?
{2, 5, 1, 7, 6, 4, 3}
Enter your answer in the box.
Your answer is 4.
Explanation:--
The Mean of the Data set is ---
2+5+1+7+6+4+3
7
= 4.
Hence, Mean of the data set is 4.
Answer:
To find the mean, you must add all the numbers and divide it by the amount of numbers in the set.
2 + 5 + 1 + 7 + 6 + 4 + 3
= 28
28 divided by 7 = 4
The answer is 4
Step-by-step explanation:
The arithmetic mean is the simple average, or sum of a series of numbers divided by the count of that series of numbers.
In the world of finance, the arithmetic mean is not usually an appropriate method for calculating an average, especially when a single outlier can skew the mean by a large amount.
Other averages used more commonly in finance include the geometric and harmonic mean.
Elaine has 14 3/4 cups of flour. She divides the flour into equal portions of 2 7/8 cups. Which is the best estimate for the number of portions she can make?
A) 3
B) 5
C) 7
D) 15
[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]
════════════════════
Elaine has 14 3/4 cups of flour. She divides the flour into equal portions of 2 7/8 cups. Which is the best estimate for the number of portions she can make?
Answer: [tex]= 5[/tex]
Solution:
[tex]14 \frac { 3 } { 4 } \div 2 \frac { 7 } { 8 } =[/tex]
[tex]\frac{\left(14\times 4+3\right)\times 8}{4\left(2\times 8+7\right)} [/tex]
[tex]\frac{2\left(3+4\times 14\right)}{7+2\times 8} [/tex]
[tex]\frac{2\left(3+56\right)}{7+2\times 8} [/tex]
[tex]\frac{2\times 59}{7+2\times 8} [/tex]
[tex]\frac{118}{7+2\times 8} [/tex]
[tex]\frac{118}{7+16} [/tex]
[tex]\frac{118}{23} [/tex]
=[tex]5 [/tex]
I evaluated it so the answer is= Letter B.[tex]5 [/tex]
════════════════════
Explanation:
#Carry on learning
What is 4.78 as a percent
25 points
You are shopping and see an item that is normally priced for $950 on sale for 20% off. However, you have a coupon for an additional 30% off. (The cashier will apply your coupon to the sale price, not the normal price.)
What is the final cost of the time (before sales tax) after the sale and coupon discounts?
Answer:
The final cost before sales tax is $475.
Step-by-step explanation:
you add the 30% to the 20% and that equals 50% off. Which is half off so you have to divide $950 by 2. That equals $475. Easy :)
Agrocery store sells steak for $4.85 per pound.
What would be the cost of 23 pounds of steak?
$11.64
0 $7.46
0 $12.61
0 $23.58
Answer:
the answer is 12.61 so that means it's c
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IMPROPER (LINKS AND JOCKING)/ INAPPROPRIATE ANSWERS WILL BE REPORTED
THANKS 4 THE HELP AND HAVE GREAT WEEKEND
THE ANSWER IS D
By using properties for exponents, we will see that the equivalent expression is:
[tex]2x^{-4}y^6[/tex]
Which is the equivalent expression?Here you need to remember the property:
[tex]a^n/a^m = a^{n - m}[/tex]
We have the expression:
[tex]\frac{-4x^{-3}y^4}{-2xy^{-2}}[/tex]
We can separate the fraction to:
[tex]\frac{-4x^{-3}y^4}{-2xy^{-2}} = \frac{-4}{-2}*\frac{x^{-3}}{x} *\frac{y^4}{y^{-2}}[/tex]
Now we can simplify by using the above relation, we will get:
[tex]\frac{-4x^{-3}y^4}{-2xy^{-2}} = \frac{-4}{-2}*\frac{x^{-3}}{x} *\frac{y^4}{y^{-2}} = 2*x^{-3-1}*y^{4 - (2)} = 2*x^{-4}*y^6[/tex]
So the correct option is the last one.
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[tex]\\ \rm\Rrightarrow (-4x^{-3}y^4)\div(-2xy^{-2})[/tex]
a^m÷a^n=a^m-n[tex]\\ \rm\Rrightarrow 2x^{-3-1}y^{4+2}[/tex]
[tex]\\ \rm\Rrightarrow 2x^{-4}y^6[/tex]
Option D
Charlene has a monthly salary of $3,410. with her present budget, charlene has a net income that is 7% of her monthly salary. charlene is going to reduce her net income by $125 each month and put this money towards paying down her debt. what will charlene’s new net income be? a. $113.70 b. $176.70 c. $229.95 d. $238.70
Charlene has a monthly salary of $3,410. with her present budget, the corrected net income is $113.70
What is income tax?Income tax is a tax applied on individuals or entities concerning income or profit earned by them.
Charlene has a monthly salary = $3,410.
Charlene has a net income that is 7% of her monthly salary.
The computation of the new net income is shown below
= Monthly salary × net income percentage - reduced amount of net income per month
= $3,410 × 7% - $125
= $113.70
Hence, the corrected net income is $113.70
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1+1 =
9+10 =
6+9 =
4+20 =
Apple + Orange =
Trick questions!!!