Which pair of angles are corresponding angles? (The two horizontal lines are parallel)pls help
Answers
Answer:
∠1 and ∠5
∠2 and ∠6
∠3 and ∠7
∠4 and ∠8
Step-by-step explanation:
Hello There!
There are many pairs of corresponding angles shown
The image below shows what corresponding angles look like
The following pairs of angles are corresponding angles
∠1 and ∠5
∠2 and ∠6
∠3 and ∠7
∠4 and ∠8
Related Questions
Simplify -6w+(-8)+1+(-7w)
Answers
Answer:
[tex]-13w-7[/tex]
Step-by-step explanation:
1) Remove parentheses.
[tex]-6w-8+1-7w[/tex]
2) collect like terms.
[tex](-6w-7w) +(-8+1)[/tex]
3) Simplify.
[tex]-13w-7[/tex]
Therefor, the answer is -13w - 7.
The width of a rectangular field is 20 feet less than its length. The area of the field is 12,000 ft? What is the length of the field?
80 ft
100 ft
120 ft
140 ft
Answers
Answer:
The answer is 120 feet.
Step-by-step explanation:
The area of the field (A) is:
A = w · l (w - width, l - length)
It is known:
A = 12,000 ft²
l = w - 20
So, let's replace this in the formula for the area of the field:
12,000 = w · (w - 20)
12,000 = w² - 20
⇒ w² - 20w - 12,000 = 0
This is quadratic equation. Based on the quadratic formula:
ax² + bx + c = 0 ⇒
In the equation w² - 20w - 12,000 = 0, a = 1, b = -20, c = -12000
Thus:
So, width w can be either
or
Since, the width cannot be a negative number, the width of the field is 120 feet.
The length of the field is 120 feet.
Option C is the correct answer.
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
Let's start by using the given information to set up two equations:
Let x be the length of the field in feet.
Then, the width of the field is x - 20 feet.
The area of the field is given as 12,000 square feet:
x (x - 20) = 12,000
Expanding the left side of the equation, we get:
x² - 20x = 12,000
Bringing all the terms to one side, we get:
x² - 20x - 12,000 = 0
Now, we can solve this quadratic equation using factoring,
Completing the square, or the quadratic formula.
Here, we will use factoring:
x² - 20x - 12,000 = 0
(x - 120) (x + 100) = 0
The solutions are x = 120 and x = -100, but a negative length doesn't make sense, so we reject that solution.
Therefore,
The length of the field is 120 feet.
To check, we can substitute x = 120 into the equation for the width:
Width = x - 20 = 100 feet
Area = Length x Width
= 120 ft x 100 ft
= 12,000 sq ft
Thus,
The length of the field is 120 feet.
Learn more about rectangles here:
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a jewellery shop is having a sale
a bracelet is now reduced to 420 pounds
this is 70% of the original price
A) workout the original price of the bracelet
a ring is now reduced to 840 pounds
this is a saving of 40% of the original price
b) workout the original price of the ring
Answers
Answer:
a) £600
b) £1400
Step-by-step explanation:
a)
original price = x
reduced price = £420
reduced price is 70% of original price
Since the discounted price, £420, is 70% of the original price, x, then
70% of x = 420
0.7x = 420
x = 420/0.7
x = 600
Answer: £600
b)
original price = x
discounted price = £840
discount percentage = 40%
The original price is x, and x is 100% of the original price since 100% is the whole amount. The discount is 40% of the original price. 100% - 40% = 60%. That means the discounted price is 60% of the original price.
60% of x = 840
0.6x = 840
x = 840/0.6
x = 1400
Answer: £1400
The formular r= √A/P- 1 gives the interest rater that will allow principal P to grow into amount A in two years, if the interest is compounded annually. Suppose you have 5425
to deposit into an account. Find the interest rate you would need to have $470 in the account at the end of the second year.
Answers
The interest rate is 29.43%
How to determine the interest rate?The given parameters are:
Amount, A = $470
Principal, P = $5425
The formula of rate is given as:
r= √A/P- 1
Substitute known values
r= √470/5425- 1
Evaluate the difference
r= √470/5424
Evaluate the quotient
r= √0.08665
Evaluate the exponent
r= 0.2943
Express as percentage
r = 29.43%
Hence, the interest rate is 29.43%
Read more about compound interest at:
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A survey asked 12 students how many portable electronic devices they have in
their homes. The results are shown in the line plot below.
Based on the data in the line plot, calculate the following.
SHOW YOUR WORK! Each question is worth 2 points.
a) Mean (Round your answer to the nearest tenth.)
b) Median
c) Mode
d) Range
e) What percentage of the students have more than 3 portable electronic
devices in their home? Give your answer as a fraction, decimal, and percent.
Answers
Answer:
should be either b or c
Step-by-step explanation:
Answer:
Mean: 4.6666666
Mode: 5.5
Range: 6
75%
Step-by-step explanation:
Who understands how to do this mess?
Answers
Answer: 140
Step-by-step explanation:
Angle 4 and A are supplementary meaning they add to 180
Thus you can do 180-40 = 140 to get that angle A = 140.
Since the two lines are parallel, Angle A is congruent to Angle D. Then, since Angle D is opposite Angle 3, we know that that Angle 3 and Angle D are congruent.
Can someone please help me answer this??
Answers
In other words, y-2 goes in the first box and 5 goes in the second box.
=================================================
Work Shown:
y^2 - 4y - x + 9 = 0
y^2 - 4y + 9 = x
x = y^2 - 4y + 9
x = y^2 - 4y + 4 + 5 .... rewrite 9 as 4+5
x = (y^2-4y+4) + 5
x = (y-2)^2 + 5 .... apply the perfect square factoring rule
So we'll have y-2 go in the first box and 5 goes in the second box
note: One version of the perfect square factoring rule says (a-b)^2 = a^2-2ab+b^2.
Please give me the correct answer.Only answer if you're good at math.
Answers
Answer:
The first hour is 14 euros and each hour after that is 2 euros.
Use the translation (x, y) = (x + 5, y - 9) for questions a-e.
a. What is the image of A (-6, 3)?
b. What is the image of (4,8)?
c. What is the image of (5.-3)?
d. What is the image of A from #1, which would be called A"?
e. What is the pre-image of D' (12. 7)? (x - 5, y + 9)
Help please!!
Answers
Answer: it’s a I have the same question but I have to solve and they already gave me the answer
Step-by-step explanation:
A square fits exactly inside a circle with each of its vertices being on the circumference of the circle
Answers
A circle’s area can be calculated by (pi d^2)/4 We have an area of 56 cm (^2?), so
pi d^2 = 56 x 4 (or 224) d^2 = 224/pi, d = √(224/pi)
A circle circumscribed around a square has a diameter equivalent to the length of the square’s diagonal, so the square’s diagonal is √(224/pi) (same as the circle diameter…)
A square’s side can be calculated, knowing its diagonal length, by use of Pythagoras’ theorem… The diagonal √(224/pi) is squared, divided by two, since the square’s sides are all equal, and the resulting number’s square root is calculated.
Squaring √(224/pi), we get 224/pi, and dividing by two, we get 112/pi, which is 35.6507 (cm^2), and the square root is 5.9708 cm, the side of the square.
I cannot emphasize enough that a drawing or sketch is an invaluable tool for these tasks, it saves having to retain a “picture” in your head. Note that a calculator was not required up until the last moment, dividing 112 by pi, and finding the square root of that answer. Picking up the calculator too early obliges you to transcribe numbers from the calculator to paper, and that can lead to issues. Try to enjoy maths, see it as a challenge not a chore. (and use correct units!)
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Related Questions (More Answers Below)
an isosceles triangle has at least__congruent sides
Answers
Answer:
two
Step-by-step explanation:
an isosceles triangle has at least two congruent sides
Can someone help me on this
Answers
Answer:
P = 44
Step-by-step explanation:
perimeter of a square = 4a
where a = side lenght
equation:
⇒ 4a
solve by substituting 11 for a
⇒ 4a
⇒ 4 x 11
⇒44
Name <2 in many different ways as possible.
Answers
Answer:
2 to two too
Step-by-step explanation:
thats how much i think
Find tan(B) in the triangle
Answers
Answer:
Answer is B
Step-by-step explanation:
SohCahToa
[tex]tan = \frac{o}{a} [/tex]
Hypotenuse : Opposite the right angle. : 13
Opposite : Opposite the B angle : 5
Adjacent : The only side left : 12
we need opposite and adjacent, hypotenuse is irrelevant in this question.
Substitute the numbers
[tex]tan( \frac{5}{12} )[/tex]
A square has an area of 36 m2. The square is scaled in such a way that its area is increased by 28 m2. What is the approximate factor by which the length of the side of the square is increased?
Answers
Answer:
The length has increased by a factor of 4/3 or 1 1/3
Step-by-step explanation:
To find the initial length.: root 36.
Root 36 = 6
Then to find the increased version, first find the area: 36 + 28 = 64
Now, the length.
Root 64 = 8
To find the factor it increased by:
6x = 8
x = 8/6 = 4/3
The length has increased by a factor of 4/3 or 1 1/3
mary works for a commission of 12% on all goods she sell for the month if her basic salary is 3000 per month and she sells $2500 worth of goods for a certain month calculate mary's gross salary for that particular month
Answers
Answer:
3300
Step-by-step explanation:
Formula
Gross Salary = Basic + Commission
Givens
Basic = 3000
% = 12%
Solution
Gross = 3000 + 12/100 * 2500
Gross = 3000 + 30000/100
Gross = 3000 + 300
Gross = 3300
please please please please help me
Answers
Sim porque positivo não fecha
x
For f(x)=0.01(2) , find the average rate of change from x=3 to x=8.
Answers
Option b. 0.496
Step-by-step explanation:we know that
f(x)=0.01(2^{x})
The average rate of change is equal to
\frac{f(b)-f(a)}{b-a}
where
a=3
b=8
f(a)=f(3)=0.01(2^{3})=0.08
f(b)=f(8)=0.01(2^{8})=2.56
Substitute
\frac{2.56-0.08}{8-3}
\frac{2.48}{5}
0.496
9(w + 6) simplified. please help!
Answers
Answer:
9w+54
Step-by-step explanation:
9(w + 6
distribute
9w+54
a rectangular swimming pool is 15 feet long and x feet wide. What is the perimeter when x=12 feet
Answers
Answer: 54 square feet
Step-by-step explanation:
To find perimeter of a rectangle we must use the formula l+l+w+w=p where l and w represent width and length
Since we know length and width is x=12 just substitute so
15+15+12+12=54 so 54 is the perimeter
help pls! ill mark best answer brainliest
Answers
Which is equivalent to 16^3/4
Answers
Answer:
1024
Step-by-step explanation:
can someone help me solve this?
Answers
Answer:
Try B
Step-by-step explanation:
That's what I would choose. Sorry if it's wrong.
what ratio is equivalent to 9/8
Answers
Answer:
3:4
Step-by-step explanation:
divide into simplest form would be 3:4
Answer:
:)
Step-by-step explanation:
9 :8 18 :16 27: 24 36:32 45:40 54:48 63:56 72:64 81:72 90:80 99:88
Fill in the blank
When you multiply exponents with the same base, you _______ the base, and ________ the exponents
Answers
Answer:
multiply the base and add the exponents
Select the two
pairs of figures that are similar.
Answers
Answer:
the first 2 pairs are equal in shape and proportion.
Three girls (Zeva, Abby and Jenny) went to a hair salon. Each girl had their hair styled (curly, straight, and wavy) and colored (blonde, red, and black). From the clues below, which chart correctly matches the girl, the hairstyle and the color?
Answers
Answer:
You need to make the question again and include the chart.
Step-by-step explanation:
The measures of the angles of Triangular garden are in the ratio 2:5:5. What are the measures of the angles? Classify the triangle based on its sides :)
Answers
2x + 3x + 5x = 180
10x = 180
x = 18
2x = 36, 3x = 54, 5x = 90
They add up to 180 (definition of sum of angles of a triangle.)
The school band is having a car wash to raise money. There goal is to collect $150. So far they have earned $10 each from three families and $5 each from 15 families.How much more money do they have to earn to reach their goal?
Answers
You have $35 in your bank account and deposit $2.50 each week. At the same time, your cousin has $115 but is withdrawing $7.50 each week. When will the accounts have the same balance? How much will they have?
What are the variables and equations, and how do you solve?
Answers
Answer:
$55
Step-by-step explanation:
Let w = the no. of weeks
35 + 2.50w = amount you will have in the account after w weeks
115 - 7.5w = amount cousin will have in the account after w weeks
You need to set these expressions equal to each other.
35 + 2.50w = 115 - 7.5w Multiply thru the equation
by 10 to remove the fractions
350 + 25w = 1150 - 75w
100w = 800
w = 8 weeks
35 + 2.50w = 35 + 2.5(8) = 35 + 20 = $55
115 - 7.50w = 115 - 7.50(8) = 115 - 60 = $55