Step-by-step explanation: the answer is x = 1/2
The value of x is 27 units.
It is required to find the value of x.
What is angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.
Given:
If m∠1 equals (4x + 2) and m∠3 equals (5x − 25),
According to given question we have,
m∠1 =m∠3
(4x + 2)=(5x − 25)
compare the like terms and simplify we get,
2+25=5x-4x
27=x
Therefore, the value of x is 27 units.
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The length of a rectangular deck is 5 times it’s width. If the decks perimeter is 36feet, what is the deck area?
Answer:
45
Step-by-step explanation:
P = 2(L+W)
36 = 2(5W + W)
36 = 10W + 2W
36 = 12W
W = 3
5W = 5(3) = 15
15 x 3 = 45
The area of a rectangular deck is 45 square feet.
Given that, the length of a rectangular deck is 5 times it’s width.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
The decks perimeter is 36 feet
Let the width of a deck is w, then the length of a deck is 5w.
Now, 2(5w+w)=36
⇒ 6w=18
⇒ w=3 feet
So, length=5w=15 feet
Area =15×3
= 45 square feet
Therefore, the area of a rectangular deck is 45 square feet.
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last week drew worked 7.9 hours. this week he worked 8.6 hours. how many more hours did he work this week than last week?
Answer:
0.7 more hours
Step-by-step explanation:
8.6 - 7.9 = 0.7 more hours
help i am stuck look at the image to see but here anyways A teacher is planning a class trip to the aquarium. The aquarium requires two chaperones for every 15 students. The teacher plans accordingly and orders a total of 85 tickets. How many tickets are for chaperones and how many are for students
Answer:
Kids- 75
Chaperones- 10
Step-by-step explanation:
We know that the total is 85 tickets. then the aquarium requires 2 chaperones for 15 kids, so you need to do...
15 + 2 = 17
85 / 17 = 5
15 x 5 = 75
2 x 5 = 10
check you work-
75 + 10 = 85
Reciprocal of 12 1/3
Answer:
3 1/12
Step-by-step explanation:
Twelves reciprocal is 1/12 and 1/3s reciprocal is 3.
Answer:
3/37
is your answer
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Question Help
A local little league has a total of 70 players, of whom 80% are right-handed. How many
right-handed players are there
Answer:
The number of right-handed people = 56
Step-by-step explanation:
80% of 70 players = number of right-handed people
So, 80/100 x 70 = 56 players
Therefore, number of right-handed players = 56
Can someone please help, ty!!
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A pump fills an empty pool at a rate of 500 cubic meters per hour. If one liter is equivalent to one cubic decimeter and 1 meter is equal to 10 decimeters, how many liters of water are in the pool half an hour after the pump starts?
If a liter equals a cubic decimeter and a meter equals ten decimeters, then 250,000 liters of water is filled in the pool in half an hour.
What is meant by cubic decimeter?1000 cubic centimeters make up one cubic decimeter. Repeating this procedure would allow us to translate between cubic centimeters and meters or between cubic decimeters and meters. We must keep in mind three conversions. 1000 cubic centimeters is equal to one cubic decimeter.
1 cubic meter = 1000 liters
because, 1 liter = 1 decimeter³
1 meter = 10 decimeters
1 decimeter= 0.1 meters
1 liter = 0.1³ meter³
1 m³ = 1000 liters
Given:
In 1 hour the amount of water filled = 500 cubic meters
In half an hour the amount of water filled = 250 cubic meters
= 250,000 liters.
Therefore, 250,000 liters of water exists filled in the pool in half an hour.
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X+4 x+1
Write an equation to determine the value of x so that each pair of polygons has the same perimeter. Then solve
Answer:
5x i think
Step-by-step explanation:
hopenit is right
What’s the slope for (15,8) (10,7)
Answer:
[tex]\frac{1}{5} = 0.2[/tex]
I hope this helps!
3(a – 7) = -9 + 3a.
Answer:
0=12
No Solution
Step-by-step explanation:
Hope this helps (:
Look at the attachment
Find the LCM of the given numbers 24 36
A:36
B:72
C:144
D:864
Answer:
B
Step-by-step explanation:
24*3=72
36*2=72
Please help me fast.
Answer:
26
Step-by-step explanation:
all you have to do is count and add i took the test before
A package of 5 pairs of insulated socks costs $37.95. What is the unit price of the pairs of socks?
Answer:
$7.59.
Step-by-step explanation:
Divide $37.95 dollars (converting it into 37.95), by 5, and you get 7.59 ($7.59).
Answer:
$7.59
Step-by-step explanation:
you dived $37.95 by 5 and you get your answer of $7.59
22+33 using GCF and the distributive property.
PLEASE HELP ME
THIS IS DUE IN 10 MINUTES
Answer:
3rd and 4th one.
Step-by-step explanation:
Write a unit rate for the situations.
30 milliliters every 4 hours
milliliters per hour
Answer:
[tex]{7.5 \: mm(h)}^{ - 1}[/tex]
Step-by-step explanation:
[tex] a \: unit \: rate \: for \: the \: situations \: is \: given \: by :
\\ rate = \frac{30 milliliters }{ 4 hours} = 7.5\frac{mm}{h} = {7.5 \: mm(h)}^{ - 1} [/tex]
The unit rate for the situation is mL per hour
How do you write a unit rate?An item's unit rate is its price for one of it. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. Seven yards in one second and 70 yards in ten seconds are both ratios, but only one of them is a unit rate. Examples of popular unit rates are the speed in miles per hour, the amount of energy used in miles per gallon, and the speed of the internet in megabits per second. Miles per hour, blinks per second, calories per serving, steps per day, and heartbeats per minute are a few instances of unit rates.7.5 mL/ hr
The unit rate for the situation is mL per hour
Rate= 30mL/ 4Hrs
Rate= 7.5mL/ hr
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What is 5.5.5 written in exponential form?
A
25
B
53
с
15
D
55
Answer:
5^3
Step-by-step explanation:
5*5*5
5 multiplied 3 times is
5^3
Answer:
5 ^ 3
Step-by-step explanation:
Which of the following is a geometric sequence?
A. 3, 6, 9, 15, 24
B. 2, 4, 8, 16, 32
C. 6, 13, 20, 27, 34
D. 2,5,7,12,19
a group of 29 friends gets together to play a sport first people must be divided into teams each has to heve exactly 4 players and no one can be on more than one team how many teams can they make (it is possible that not everyone can be on a team)
Answer:
7 groups or teams
Step-by-step explanation:
7 x 4 is 28, as close as we can get to 29.
H(x)=4x+3 what is the coordinate pair for h (1) ?
Answer:
(1,7)
Step-by-step explanation:
SImply replace x by (1) in the expression to find the value of h:
h(1) = 4 (1) + 3 = 4 + 3 = 7
so for x = 1, h is 7 , which is written as: (1, 7)
If one inch represents 15 feet, what dimensions would you use to make a scale drawing of a building 550 feet by 600 feet?
9514 1404 393
Answer:
36 2/3 inches by 40 inches
Step-by-step explanation:
To find the drawing dimension, multiply the actual dimension by the scale factor:
(550 ft)×(1 in/(15 ft)) = (550/15) in = 36 2/3 in
(600 ft)×(1 in/(15 ft)) = (600/15) in = 40 in
The dimensions on the drawing would be 36 2/3 inches by 40 inches.
The Empire State Building is 1,250 feet tall. Maria wants to make a model that has a scale of 1/4 foot = 50 feet. How to tall will her model be?
Answer: 25 Feet.
Step-by-step explanation: 1,250 % 50.
7. Solve the equation using inverse operations. 3 + x = 7
a.
b. x
Il
c. x = 16
d. x = - 16
Y= 4x +3, 4x + y =3 are they parallel or perpendicular
Answer: Neither
Step-by-step explanation:
When two lines are parallel, their slopes are the same.
When two lines are perpendicular, their slopes are opposite reciprocals. Opposite reciprocals equal -1 when multiplied together.
Equation #1: y = 4x + 3
The equation is in the form y = mx + b, so the slope is 4.
Equation #2: 4x + y = 3
We need to put this equation in slope-intercept form.
1) Subtract 4x from both sides
y = -4x + 3
The slope is -4.
-4 and 4 are neither equal nor opposite reciprocals, so they aren't parallel or perpendicular.
The slope of both lines is neither the same nor negative inverse of each other thus both lines will neither parallel nor perpendicular.
What is slope?A slope is a tangent or angle at a point or a slope is the intensity of inclination of any geometrical lines.
Slope = Tanx where x will be the angle from the positive x-axis at that point.
The slope is also calculated by differentiation for example slope of y = sinx will be y' = cosx.
As per the given lines,
y = 4x +3
The slope-intercept form is given as y = mx + c where m is the slope.
By comparing slope m = 4
4x + y =3 → y = -4x + 3
Slope m = -4
Since slopes are not the same thus they will be not parallel.
Perpendicular lines slope's multiplication gives -1.
Since, 4 x (-4) ≠ -1 thus both will be not perpendicular.
Hence "The slope of both lines is neither the same nor negative inverse of each other thus both lines will neither parallel nor perpendicular".
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What does the confidence interval of a confidence level of 99% tell about the population of all college students in the state? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
Answer:
we need to know the options
Step-by-step explanation:
If a right triangle has two legs of 7m and 24m what is the length of the longest side? *
Answer:
It would be 24m
Step-by-step explanation:
The longest side of a right triangle is the hypotenuse.
Use the Pythagorean theorem to solve for the hypotenuse:
X = sqrt(7^2 + 24^2)
X = sqrt( 49 + 576)
X = sqrt(625)
X = 25
The longest side is 25m
6.333 x 10^2 standard form
MY BAD!
Answer:
633.3
Step-by-step explanation:
I don’t understand this question.
please help me asap
Answer:
11. 6
12. The last option, A=1/4, B=7/16, C=5/8, D=3/4
Step-by-step explanation:
11. look at the denominators, and what do you see? I see that 11 is 88 divided by 8. So, let's divide the numerator by 8 as well! 48/8=6
12. 1/4 is half of 1/2, so it would be between 0 and 1/2, or A
Same thing with 3/4 but this time in the middle of 1/2 and 1, or D
5/8 is a little over 4/8, or 1/2, so C
The last one left is 7/16, B
Two angles are complementary. One angle is 5 times as large as the other. What is the measure of each angle?
Answer:
15 and 75
Step-by-step explanation:
complementary - add up to 90 degrees
x+5x=90 degrees
6x=90 degrees
x=90/6
x=15
15*5=75