Answer:
if two lines in a linear system INTERSECT, they have exactly one point in common.
Answer:
cross each other
Step-by-step explanation:
The point of intersection is the point where both lines will have the same coordinates.
The measures of two exterior angles of a decagon are 97° and 89°. What is the sum of the remaining exterior angles?
Answer:
the sum of the remaining exterior angles is 174⁰
Step-by-step explanation:
Given;
the measure of two exterior angles of a decagon = 97° and 89°
The total sum of exterior angles of a polygon is 360⁰
let the sum of the remaining exterior angles = x
sum of the given exterior angles = 97⁰ + 89⁰ = 186⁰
x + 186⁰ = 360⁰
x = 360⁰ - 186⁰
x = 174⁰
Therefore, the sum of the remaining exterior angles is 174⁰
Determine the value of x in this polygon.
(6x + 3)
(x + 12.5)°
(2x + 8)
Answer:
x = 23.5
Step-by-step explanation:
For a trapezoid, the angles on the same side are supplementary. This simply mean they add up to 180 degrees
thus, we have it that;
(6x + 3) + (x + 12.5) = 180
6x + x + 3 + 12.5 = 180
7x + 15.5 = 180
7x = 180-15.5
7x = 164.5
x = 164.5/7
x = 23.5
Which expression is equivalent to 4x2 - 4x – 3 in factored form?
Answer:
(2x-3)(2x+1)
Step-by-step explanation:
4x^2 - 4x - 3
we need two numbers that give 12 when multiplied and 4 when subtracted
the numbers are 6 and 2 because 6*2=12 and 6-4=4.
4x^2 - (6-2)x -3
4x^2 -6x +2x -3
take common
2x(2x -3)+1(2x-3)
take (2x-3) as common
(2x-3)(2x*1 + 1*1)
(2x-3)(2x+1)
One of the heaviest rainfalls ever recorded occurred in Holt, Missouri, when 12 inches of rain fell in 40 minutes. At this rate, how much rain would fall in an hour?
Write a system of equations that can be solved to find the number of packets of strawberry wafers and the number of packets of chocolate wafers that Devon and his friends bought at the carnival. Define the variables used in the equations.
Answer:
x = number of packets of strawberry wafers = 4 packets
y = number of packets of chocolate wafers = 18 packets
Step-by-step explanation:
Devon and his friends bought strawberry wafers for $3 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $30 to buy a total of 22 packets of wafers of the two varieties.
Part A: Write a system of equations that can be solved to find the number of packets of strawberry wafers and the number of packets of chocolate wafers that Devon and his friends bought at the carnival. Define the variables used in the equations. (5 points)
Part B: How many packets of chocolate wafers and strawberry wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)
A.
Let
x = number of packets of strawberry wafers
y = number of packets of chocolate wafers
x + y = 22
3x + y = 30
B. Solve the equation in A using elimination method
x + y = 22 (1)
3x + y = 30 (2)
subtract (1) from (2) to eliminate y
3x - x = 30 - 22
2x = 8
x = 8/2
x = 4
Substitute x = 4 into (1) to solve for y
x + y = 22 (1)
4 + y = 22
y = 22 - 4
y = 18
x = number of packets of strawberry wafers = 4 packets
y = number of packets of chocolate wafers = 18 packets
5 2/3 divided by 3 1/9?
Answer:
1.82142857143 or 1 23/28
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
51/28 or 1 23/28
Step-by-step explanation:
The LCD here is 9. Rewrite 5 2/3 first as 17/3, and then multiply numerator and denominator both by 3, obtaining the equivalent 51/9.
Then divide 51/9 by 28/9: Equivalently, invert the divisor (28/9) and multiply:
(51/9)(9/28) = 51/28 or 1 23/28
5 2/3 divided by 3 1/9 is 1 23/28.
Solve for X
PLEASEEEEE HELPPPP
Answer:
ok from this we know the angle of this triange are
90+47+x=180
x=43
with these if we use the proper formula we know that the two other sides are
about 21 and 23
since the top side is longer we know that X=23
The manufacturer price was $50. The customer purchased the item for $200. What percent of the original price did the customer pay?
Answer:
400%
Step-by-step explanation:
the question is asking what percent of 50 is 200
we can set up this proportion to find 'x' (the original price)
200/50 = x/100
cross-multiply to get:
50x = 20,000
x = 400%
Look at points C and D on the graph:
A coordinate plane graph is shown. Point C is at negative 5 comma negative 1. Point D is at 0 comma 3. A segment connects the two points.
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth. (4 points)
Answer:
I think point D is the answer.
Step-by-step explanation:
Answer:
5 units
Step-by-step explanation:
Please help me with 4 I’d really appreciate it
Step-by-step explanation:
4a) The pressure of a basketball can have a large tolerance.
b) Writing an exam has a very low tolerance in terms of time allotment.
c) The amount of milk in a carton has a low tolerance.
Line u has a slope of
-2/5 is parallel to line u. What is the slope of line v?
Answer:
-2/5
Step-by-step explanation:
The slope will be same , that is -2/5 .
in the diagram BC = 9. find AB and AC.
Answer:
where's the diagram can you tell
ab + 4 + a + 4b
pls help if u can.
Answer:
(1+b)(a+4)
Step-by-step explanation:
Tori bought 6 pounds of sugar. She wants to divide the
sugar in bags that weigh 1/5 pound each. How many bags
of sugar will Tori make?
PLEASE ANSWER
Answer:
Pretty sure its 30
Step-by-step explanation:
Hope this helps!
Amanda bought 40 books. Amanda bought 8 times as many books as Hong. Let b be the number of books that Hong bought.
(a) Write an equation that relates the number of books that they bought.
Use 8, b, and 40.
40 = b x 8
(b) Find b.
Answer:
the anser is 40/8 that is 5
Which of the following is least likely to be an advantage of scientific models?
They can precisely replicate any scientific theory or law.
They can be used to help scientists formulate and improve hypotheses.
They can be used to visually represent objects that are very small or very large.
They can be used to simplify complex concepts so that they are better understood.
Answer:
send one
the second one boi
Step-by-step explanation:
pls help
Simplify 10( to the power of 9) divided by 10( to the power of 7)
The simplified form of 10⁹/10⁷ is 100.
The given expression is,
10⁹/10⁷
Since we know that,
Exponentiation is the process of expressing huge numbers in terms of powers. That is, exponent refers to the number of times a number has been multiplied by itself.
Since we also know that,
When base of exponent is same then while dividing we subtract the power of denominator from the power of numerator,
Therefore,
we can write the given expression
10⁹/10⁷ = [tex]10^{(9-7)}[/tex]
= 10²
= 10 x 10
= 100
Hence,
10⁹/10⁷ = 100
To learn more about exponent visit
https://brainly.com/question/31242910
#SPJ6
GameStop was selling Ps5’s. They sold 100. They sold each ps5 for 500. But they got ps5’s on discount $30 off from each GameStop. So they bought the Ps5s for $470 but they sold them to the customers for more. How much did they collect/make? How much were their expenses? How much was their profit?
In which choice do all three points lie on the same straight line?
A (0, 1), (–1, 3), (1, 3)
B (4, 2), (2, 1), (4, –2)
C (0, 0), (8, 0), (0, 8)
D (1, 2), (2, 4), (4, 8)
Answer:
D
Step-by-step explanation:
we'll use the complex number system to solve this exercice
the coordinates of the last triplet are : (1,2) , (2,4) and (4,8) The affixes are then
[tex]1 + 2i = a \\2 + 4i= b = 2a \\4+8i = c = 2b = 4a[/tex]
for the points to be aligned the fraction [tex]\frac{c-a}{b-a}[/tex] should be a real number
[tex]\frac{c-a}{b-a} = \frac{4a-a}{2a-a} = \frac{3a}{a} = 3[/tex]
so the points are aligned
Answer:
D (1, 2), (2, 4), (4, 8)
Step-by-step explanation:
Hope this helps
I need geometry help please!!!
Your answer is correct .
Answer:
EF~GI
Step-by-step explanation:
I got it right on the quiz:)
is this a reasonable estimate? Why?
Answer:
See below.
Step-by-step explanation:
No, a reasonable estimate is around 7 * 6 = 42.
Round $6.99 to $7 and multiply by the 6 family members.
Oliver wants to buy a new TV. The price was $985. When he goes to the store a
second time, he found that price was marked down by 35%. What is the new
price of the TV?
Answer:
$640.25
Step-by-step explanation:
Answer:
$640.25
Step-by-step explanation:
A: x=59
B: x=73
C: x=87
D: x=93
Answer:
A x=59 is yr correct answer
hope it helps
stay safe healthy and happy...Answer:
[tex]x = 59[/tex]
Step-by-step explanation:
[tex](x + 17) = 76[/tex]
[tex]x = 76 - 17[/tex]
[tex]x = 59[/tex]
Hope it is helpful...Let p: x < -3 let q: x > 3 What is represented by p v q
α
34°
Help me ASAP Thxx
Answer:
a=146°
Step-by-step explanation:
a+34 =180 degree (being linear pair
a=180-34
a=146 degree
Note: A linear pair is a pair of adjacent angles formed when two lines intersect.
Brian pays £465.98 a year on his car insurance.
The insurance company reduces the price by 3.6%.
How much does the insurance cost now?
Give your answer rounded to 2 DP.
Answer:
ok so if he pays 465.98 and we want to find the price if we reduce it by 3.6 we can multiple it by
465.98*0.964=
449.20472
so now we round to two points to get
449.21
Sally's parents deposited $15,000 into a college savings account on her third birthday. The account had an interest rate of 9.6% compounded annually. They were hoping that the money would double twice by the time she was 18 years old. Using the rule of 72, t = StartFraction 72 Over r EndFraction will their hopes come true?
Answer:
their hopes will come true
Step-by-step explanation:
Using the formula for calculating amount expressed as;
A = P(1+r)^t
Given
P = $15000
r = 9.6% = 0.096
t = 15years (18-3)
Substitute;
A = 15,000(1+0.096)^15
A = 15,000(1.096)^15
A = 15000(3.9551)
A = 59,326.6
As we can see, the money is even more than twice the original amount, this shows that their hopes will come true
Answer:
a. Yes, the $15,000 will double each 7.5 years. In 15 years, it will double twice.
Help answer correctly please !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 23.4 ft^3
Step-by-step explanation: The perimeter of the base is 10.7, it is a square so the 4 sides of the base are equal. One side of the base is equal to 2.675 if the perimeter (4 sides) is equal to 10.7, so plug that and the height into the formula for the volume of a square pyramid to get 23.38, or 23.4 to the nearest tenth.
Answer:
v ≈ 34.95ft^3
Step-by-step explanation:
h = 9.8ft
A^B = 10.7ft
V=A^B
h/3 = 10.7 • 9.8/3
≈34.95333ft^3
≈34.95ft^3
The estimated total,costs,y, of a child's toy is practally based on the number of batteries used x.The cost of one battery is 0.75. The toy itself cost 12$.Which equation represents the situation
Answer:
y = 0.75x + 12
Step-by-step explanation:
The estimated total cost, y, of a child's toy is partially based on the number 1 point of batteries used, x. The cost of one battery is $0.75. The toy itself costs $12. Which equation represents the situation?
y = 12x + 0.75
y = 0.75x + 12
y = 12x − (775
y = 0.75x − 12
y = total cost of a child's toy
Cost of each battery = $0.75
Number of batteries = x
Cost of the toy = $12
Therefore,
total cost of a child's toy = Cost of the toy + Cost of each battery * Number of batteries
y = 12 + 0.75 * x
y = 12 + 0.75x
y = 0.75x + 12
The dimensions of Mr. Tai’s living room are 10 feet by 18 feet by 8 feet and the dimensions of his family room are 14 feet x by 20 feet by 8 feet. What is the total volume, in cubic feet, of the two rooms?
Answer:
3,680 cubic feet
Step-by-step explanation:
The volume of a rectangular prism is:
length x width x height
Rooms are in the shape of a rectangular prism, so the figure we are gonna tind the volume of is a prism.
The volume of Mr. Tai’s living room is:
10 x 18 x 8 = 1,440 cubic feet
The volume of his family room is:
14 x 20 x 8 = 2,240 cubic feet
Add the volumes of both figures:
1,440 + 2,240 = 3,680
Hope this helps!
