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Answer:
[tex]x = 15[/tex]165+x = 180 (linear pair)
Hence x = 15
Related Questions
help solve the problem .
Answers
What is an equation of the line that passes through the points (-2, 1)(−2,1) and (-6, -5)(−6,−5)?
Answers
Answer:
ind the slope of the original line and use the point-slope formula y − y 1 = m ( x − x 1 )
to find the line parallel to x + 4y = 28 .
Step-by-step explanation:
A scale drawing of an office space uses a scale of 1 in : 4 yd. The scale drawing has an area of 12 square inches.The area of the office space is ____ square yards
Answers
The scale factor of area of the drawing to the area of the office is the
square of the scale factor of the length of the drawing.
The area of the office space is 192 square yards.Reasons:
The given parameters are;
1 inch in the scale drawing = 4 yd. in actual dimension
4 yd. = 144 inches
Therefore;
1 inch in the scale drawing = 144 inches in actual dimension
The scale factor of length of the drawing, s = 1:144
The scale factor of area = s²
Therefore, we have;
[tex]\dfrac{Drawing \ area}{Actual \ area} =s^2[/tex]Therefore, we have;
[tex]\dfrac{Drawing \ area}{Actual \ area} =\dfrac{12}{A} = s^2 = \left( \dfrac{1}{144} \right)^2[/tex]Where;
A = The actual office space area
There fore;
12 × 144² = A × 1²
A = 12 × 144² = 248,832 in.²
1 yd.² = 1,296 in.²
[tex]248,832 \, in.^2 = \dfrac{248,832}{1,296} \, yd.^2 = 192 \, yd.^2[/tex]The area of the office space is 192 square yards.
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Write the equation of the line that passes through the points (7, 2) and (4, -9). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
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if you were to use the first ordered pair, your answer would be y - 2 = 11/3(x-7) and with the second ordered pair : y + 9 = 11/3(x-4
Hi! ❤️ Pls help here thanksThe figure shows two parallel lines cut by a transversal.
What is the value of x?
x =
Answers
Answer:
x = 33
Step-by-step explanation:
Note that there are two parallel lines cut by a transversal (given).
The two angles given are corresponding angles, meaning that there measurements will be the same. Set the equation:
124 = 4x - 8
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, add 8 to both sides of the equation:
124 = 4x - 8
124 (+8) = 4x - 8 (+8)
124 + 8 = 4x
132 = 4x
Next, divide 4 from both sides of the equation:
(132)/4 = (4x)/4
x = 132/4
x = 33
33 is your answer.
~
If 3 computer disks and 5 notebooks cost $7.50 and 4 computer disks and 2 notebooks cost $6.50, how much does 1 computer disk cost?
Group of answer choices
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1. A bird that was perched atop a 15 foot tree dives down six feet to a branch
below. How far above the ground is the bird's new location?
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The bird would be 9.5 ft from the ground in its new location.
PLEASE HELP ITS MATH
Answers
Answer:
$2064
Step-by-step explanation:
take 432÷9=48×43
Lucy has read 500 pages of her summer reading assesment, and Angie has read 460 pages. Lucy has reads 10 per week for the remainder of the summer, and Angie reads 20 pages per week for the remainder of the summer. Write and solve an equation to show how many weeks it will take before the girls have read the same amount of pages.
Answers
Answer:
It would take four more weeks before the two read the same number of pages.
Step-by-step explanation:
Let [tex]x[/tex] denote the number of extra weeks required before the two read the same number of pages.
Express the number of pages each would read between now and [tex]x[/tex] weeks into the future:
Lucy reads [tex]10[/tex] pages per week. Thus, she would have read [tex]10\, x[/tex] additional pages after [tex]x[/tex] more weeks.
Angie reads [tex]20[/tex] pages per week. She would've read [tex]20\, x[/tex] additional pages after [tex]x[/tex] more weeks.
It is also given that Lucy has already read [tex]500[/tex] pages. After reading [tex]10\, x[/tex] pages in the upcoming [tex]x[/tex] weeks, Lucy would have read a total of [tex](500 + 10\, x)[/tex] pages.
Likewise, after reading [tex]20\, x[/tex] pages in the upcoming [tex]x[/tex] weeks, Angie would have read a total of [tex](460 + 20\, x)[/tex] pages.
It is assumed that the two would have read the same number of pages after these [tex]x[/tex] more weeks. In other words:
[tex]500 + 10\, x = 460 + 20\, x[/tex].
Solve this equation for [tex]x[/tex]:
[tex]x = 4[/tex].
In other words, Lucy and Angie would have read the same number of pages after four more weeks.
Elena fills 5 small jars with homemade jams to share with her friends. Each jar can fit cup of jam. How many cups of jam are in the jars?
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Answer:
5 cups
Step-by-step explanation:
1 cup/jar x 5 jars is 5 cups
Simplify each radical
1-4
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A sum of $30,400 is to be divided in to three shares in the ratio of 4 : 5 : 7. Find the largest share. Please emergency
Answers
Answer:
$13,300
Step-by-step explanation:
$30,400 in to the ratio of 4:5:7
First lets add 4, 5, and 7:
4 + 5 + 7 = 16
Now divide 30,400 by 16 to find 1 share:
30,400/16 = 1900
Since the largest share is 7, we multiply 1900 by 7, since 1900 is equivalent of 1 share
1900 x 7 = 13300
-Chetan K
Explain how you can use the Distributive Property to find a product ?
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Answer:
To distribute means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
The distributive property states that an expression which is given in form of A (B + C) can be solved as A × (B + C) = AB + AC.
What is the distributive property?Distributive property says that the sum of two or more addends multiplied by a number gives you the same answer as distributing the multiplier, multiplying each addend separately, and adding the products together.
According to the distributive property, multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together.
Example: Find the product using distributive property 6(42+35)
Now, 6(42+35)
= 6×42+6×35
= 252+210
= 462
Hence, the distributive property states that an expression which is given in form of A (B + C) can be solved as A × (B + C) = AB + AC.
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Order the numbers from least to greatest 0.607, 607, 6.07, 60.7
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Answer:
0.607, 6.07, 60.7, 607
Step-by-step explanation:
solve pls brainliest
Answers
Answer:
Mixed number: [tex]2 \frac{1}{100}[/tex]
Improper fraction: [tex]\frac{201}{100}[/tex]
can you simplify -3.2/0.8
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Explanation:
Move the decimal point to the right one spot for each value
-3.2 turns into -32
0.8 turns into 8.0 which is the same as 8
That means the given fraction is the same as -32/8 which simplifies into -4
WHICH IS THE BETTER VALUE!
$15 for 4 pizzas
с
$25 for 6 pizzas
a
$19 for 5 pizzas
Answers
Answer:
unit price formula: cost / quantity
15 / 4 = 3.75 per pizza
25 / 6 = 4.16 per pizza
19 / 5 = 3.8 per pizza
lowest is $3.75so 15$ for 4 pizzas is your best value.
[tex]\sqrt50 + \sqrt18\\[/tex]
Answers
Answer:
8\sqrt2=\sqrt128
Step-by-step explanation:
[tex] \sqrt{50} = 5 \sqrt{2} \\ \sqrt{18} = 3 \sqrt{2} [/tex]
Evaluate 3x – 6 + 5x - 1 when x =-3
Answers
Answer:
-31
Step-by-step explanation:
1. To evaluate this expression when x = -3, we just have to plug in the x-value and simplify.
[tex]3x - 6 + 5x - 1[/tex] [tex]3(-3)-6+5(-3)-1[/tex] [tex]-9 - 6 - 15 - 1[/tex] [tex]-15 - 15 - 1[/tex] [tex]-30 - 1[/tex] [tex]-31[/tex]Therefore, the answer is -31.
A car travels at an average speed of 45 mph for 40 minutes.
The next part of the car's journey takes 25 minutes at an average speed of 60 mph.
Show that the average speed of the entire journey is just over 50 mph.
Answers
9514 1404 393
Answer:
the average speed is 50 10/13 mph
Step-by-step explanation:
The relationship between time, speed, and distance is ...
distance = speed × time
The distance traveled in the first part of the car's journey is ...
(45 mi/h)(2/3 h) = 30 mi
The distance traveled in the second part of the car's journey is ...
(60 mi/h)(25/60 h) = 25 mi
Then the total distance is 30 mi +25 mi = 55 mi.
The total time is ...
40 min +25 min = 65 min = 65/60 h = 13/12 h
The average speed for the trip is ...
speed = distance/time = (55 mi)/(13/12 h) = 660/13 mi/h = 50 10/13 mi/h
The average speed of the journey is 50 10/13 mi/h, just over 50 mi/h.
If prices increase 3% each year for 10 years, then a jacket that costs $70 today will cost $94.07 in 10 years. What is the percentage decrease in the buying power of currency over the 10-year period? (Round your answer to one decimal place.)
Answers
Answer:
34.4%
Step-by-step explanation:
Evaluate.
(1/5+1/2)^2+3/10⋅5
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answers
Answer:
1/5+1/2²+3/10•5=1/7²+15/100
The resultant of the expression (1/5+1/2)^2+3/10⋅5 in mixed number will be 1 99/100.
What is a number system?The number system is a way to represent or express numbers.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
As per the given expression,
(1/5+1/2)^2+3/10⋅5
⇒ (1/5+1/2)²+ 15/10
Take LCM in the bracket as 10
⇒ [(2 + 5)/10]² + 15/10
⇒ (7/10)² + 15/10
⇒ 49/100 + 15/10
Take LCM as 100
⇒ (49 + 150)/100 = 199/100
⇒ 1 99/100
Hence "The resultant of the expression (1/5+1/2)^2+3/10⋅5 in mixed number will be 1 99/100".
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a jacket is on sale for $170. this is 80% of the regular price. what is the regular price
Answers
Answer:
$212.5
Step-by-step explanation:
x= 100*170/80
x= 17000/80
x= 212.5
Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. x-8=8-x
Answers
Hello!
Answer:
One solution (8)
Step-by-step explanation:
Hope this helps!
36 workers can complete a piece of work in 12 days how many workers should be removed to complete the same work in 24 days
please explain step by step
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PLS I NEED HELP!!!! If the base of a rectangle is 9 cm and the area is 112.3 cm2, what is the height of the rectangle? Round your answer to the nearest tenth.
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Answer:
12.5
Step-by-step explanation:
112.3 / 9 = 12.47777......
what does n equal in 4n − 2n = 4
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Answer:
Step-by-step explanation:
4 = 2
A store is having a sale to clear out the winter clothing items. Every Item in the store is advertised as 50% off the original price. If
an Item is marked with a sale price of $35, what was its original price?
Answers
Answer:
$70
Step-by-step explanation:
35+35=70
compair 5,269 and5.038 using < or >
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Answer:
5,269 > 5.038
5.038 is rounded to 5
Please help me and can you explain step by step please
Answers
Answer:
16 robots
Step-by-step explanation:
Each worker can move 12 boxes/minute and there are 24 workers.
24 x 12 = 288
Divide the total work by 18 (since a robot can move 18 boxes/minute)
288 ÷ 18 = 16