1. Write a congruence statement for the pair of triangles shown.
AUTS = ARST
AUTS = ASTR
AUTS = ARTS
Answer: ΔUTS ≅ ΔRST
Step-by-step explanation:
ΔTSU is congruent to ΔSTR, not ΔUTS
ΔUTS is congruent ΔRST not ΔRTS
ΔUTS ≅ ΔRST
Hope I helped!
Washington College has many students enrolled in their engineering program. Engineering students at Washington College last year received an average of $9,600 in scholarships and grants. This year, the average is $5,184. What is the percent of change in the average amount received? Was this an increase or decrease?
Answer:
The percent of change in the average amount received was 46% and this was a decrease.
Step-by-step explanation:
You can use the following formula to calculate the percentage of change:
% of change = ((New number-Original number) / Original Number) x 100
New number= 5,184
Original number= 9,600
Now, you can replace the values in the formula:
% of change = ((5,184-9,600) / 9,600) x 100
% of change = (-4,416 / 9,600) x 100
% of change = (-0.46) x 100
% of change = -46%
According to this, the answer is that the percent of change in the average amount received was 46% and this was a decrease.
HELP PLS!!
A landscaper wants to create a rectangular patio in a backyard. He wants it to have a total area of 148 square feet and it should be 8 feet longer than it is wide. What dimensions should he use for the patio? Round to the nearest tenth of a foot if necessary
Answer:
L=16.8
w = 8.8
Step-by-step explanation:
L = x +8
w = x
x(x+8) = 148
x^2 + 8x = 148
x^2 + 8x - 148 =0
a = 1
b = 8
c = - 148
x = [tex]\frac{-8 +/- \sqrt{8^2 + 4*1*(-148)} }{2}[/tex]
(x - 8.8)(x + 16.8) = 0
(x + 16.8) is an extraneous root.
x = 8.8 which is the width
L = 16.8
PLEASE HELP thank u (:
MUSIC Thirty-six percent of the songs on your MP3 player are pop songs.
Write this percent as a decimal.
Answer:
.36
Step-by-step explanation:
36% -> 36/100 -> .36
HELP PLEASE
Consider the line y = 6x-7. Find the equation of the line that is perpendicular to this line and passes through the point (8, 3). Find the equation of the line that is parallel to this line and passes through the point (8, 3).
Answer:
perpendicular line: y = -¹/₆ x + 4¹/₃ parallel line: y = 6x - 45Step-by-step explanation:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1
{Two lines are perpendicular if the product of theirs slopes is equal -1}
y = 6x - 7 ⇒ m₁=6
6×m₂ = -1 ⇒ m₂ = -¹/₆
The line y=-¹/₆ x+b passes through point (8, 3) so the equation:
3 = -¹/₆ ×8 + b must be true
3 = -⁴/₃ + b
b = 4¹/₃
Therefore equation in slope-intercept form:
y = -¹/₆ x + 4¹/₃
y=m₁x+b₁ ║ y=m₂x+b₂ ⇔ m₁ = m₂
{Two lines are parallel if their slopes are equal}
y = 6x - 7 ⇒ m₁=6 ⇒ m₂=6
The line y=6x+b passes through point (8, 3) so the equation:
3 = 6×8 + b must be true
3 = 48 + b
b = -45
Therefore equation in slope-intercept form:
y = 6x - 45
In a survey of 2,400 people who owned a certain type of car, 1,200 said they would
buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
50%
Step-by-step explanation:
2,400divied by 1,200 =50%
Brainiest plz ?
Which of the following theorems cannot be used to prove two lines are
parallel?
Answer:
Option H
Step-by-step explanation:
Option F
If two lines are cut by a transversal so that a pair of corresponding angles are congruent, then the lines are parallel.
True.
Option G
If two lines are cut by a transversal so that a pair of alternate exterior angles are congruent, then the lines are parallel.
True
Option H
If two line are cut by a transversal so that a pair of vertical angles are congruent, then the lines are parallel.
Since, vertical angles don't prove the lines cut by a transversal are parallel.
So the statement is False.
Option J
If two lines are are cut by a transversal so that a pair of same side interior angles are supplementary, then the lines are parallel.
True.
Which of the following is not a function?
Question 2 options:
{(1,2)(0,9)(3,4)(5,6)}
{(1,2)(3,4)(5,6)(7,8)}
{(1,5)(2,5)(3,5)(4,5)}
{(7,1)(2,4)(7,5)(8,3)}
Answer:D
Step-by-step explanation:
D, the X values repeat for 7.
1 point
3.) Jamal then says that there are other types of trends in the periodic
table and tells Nic about Atomic Radius. He looks at the same four elements
and points to the element with the largest atomic radius. Which should he
point to?
F
Ci
Br
I
Answer:
the largest one is f or francium.
Rewrite the equation y - 4= 2(x + 4) in slope-intercept form.
First distribute the 2 through the parenthses on the right side.
So we have y - 4 = 2x + 8.
In slope-intercept form, the y is by itself on the left side.
So we add 4 to isolate the y on the left to get y = 2x + 12.
So in slope-intercept form, our equation is y = 2x + 12.
5x < -10
I cant find the answer
Answer:
x<-2
Step-by-step explanation:
5x<-10 (divide both sides by 5)
5x÷5<-10÷5 (divide)
solution: x<-2
hope this helps!
2m² + 10 for m = -6
Help please
Answer:
82
Step-by-step explanation:
2×m²+10
m²= -6×-6=36
36×2=72+10=82
Hey there!
• If m = –6 then substitute it in the equation where m is at!
2(–6)² + 10
(–6)² = (–6)(–6) = 36
2(36) + 10 =
72 + 10 = 82
Answer: 82 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Lani had some flowers in her garden from last year. When spring arrived, Lani started planting more flowers in the garden each week. The total
numbers of flowers in the garden after weeks 2, 4, 6, and 8 were 14, 18, 22, and 26, respectively. How many flowers did Lani have in her garden
from last year? Assume that the relationship between the two quantities is linear.
a.2
b.4
c.10
d.12
(Ignore this) I mean you can get the points if u want lol
Answer:
yuhhhh thanks brah hehehejejejne
Which of the following best describes the equation below?
y = -2x + 5
A.
relation only
В.
function only
C.
both a relation and a function
D
neither a relation nor a function
Answer:
it most likely is the answer B
PLEASE ANSWER THE QUESTION I ASKED PREVIOUSLY IT'S REALLY IMPORTANT AND TIME SENSITIVE - IT'S MATH
Answer:
answered
Step-by-step explanation:
solve -3x + 12 < 18
help-
Answer:
x>−2
Step-by-step explanation:
−3x+12−12<18−12
−3x<6
Step 2: Divide both sides by -3.
−3x
−3
<
6
−3
I need help with question 2 and 3
Answer:
2. Carbon-Dioxide and Nitrogen
3.After the Earth's surface had cooled to a temperature below the boiling point of water, rain began to fall for centuries. As the water drained into the great hollows and gaps in the Earth's surface, the primeval ocean came into existence.
Step-by-step explanation:
The forces of gravity prevented the water from leaving the planet.
Happy Paws charges $21.00 plus $2.50 per hour to keep a dog
during the day.
Woof Watchers charges $10.00 plus $3.75 per hour to keep a
dog during the day.
Use the variable x to represent the number of hours. Write an
equation and solve for x to find out how many hours the total
cost of the services is equal. (Write your final answer as a
decimal.)
Answer:
8.8 hours
Step-by-step explanation:
happy paws charges $21 in addition to $2.5 per hour -- we can write this as
21 + 2.5 per hour -- since the number of hours is x, this is equal to
21 + 2.5 (x)
similarly, woof watchers is
10 + 3.75 (x)
we must find when the services are equal --
21 + 2.5x = 10+3.75x
subtract 10 from both sides
11 + 2.5x = 3.75x
subtract 2.5x from both sides
11 = 1.25
divide both sides by 1.25
x = 8.8
Write the equation of the line parallel to the line 3x + 5y = 7 and passes through the point (-1, 3) in standard form. Please help
Answer:
3x + 5y = 12Step-by-step explanation:
3x + 5y = 7 {subtract 3x from both sides}
5y = -3x + 7 {divide both sides by 5}
y = -³/₅x + ⁷/₅ ← slope-intercept form
y=m₁x+b₁ ║ y=m₂x+b₂ ⇔ m₁ = m₂
{Two lines are parallel if their slopes are equal}
y = -³/₅x + ⁷/₅ ⇒ m₁ = -³/₅ ⇒ m₂ = -³/₅
(-1, 3) ⇒ x₁ = -1, y₁ = 3
The point-slope form:
y - 3 = -³/₅(x - (-1))
y - 3 = -³/₅(x + 1) {myltiply both sides by 5}
5y - 15 = -3x - 3 {add 3x to both sides}
3x + 5y - 15 = - 3 {add 15 to both sides}
3x + 5y = 12
Write the fraction 36/27 in simplest form
Answer:
Step-by-step explanation:
9/13.5
how do i solve 9/10 y = -36
Answer:
-40
Step-by-step explanation:
Multiply both sides by the reciprocal of 9/10 to get rid of the fraction
[tex]\frac{10}{9}[/tex]×[tex]\frac{9}{10}[/tex]×y=-36 ×[tex]\frac{10}{9}[/tex]
y=-36×[tex]\frac{10}{9}[/tex]
y=[tex]\frac{-360}{9}[/tex]
y=-40
Is the number 61 a prime or composite number
Answer: 61 is a prime number :3
Answer:
Composite.
Step-by-step explanation:
Composite numbers are basically odd numbers. Prime numbers are all even.
What is the slope of the line
MATH HELP ASAP! MARKING BRAINLIEST
Answer:
y=5x
Step-by-step explanation:
The volume of a rectangular prism is 7/x-3/5x. If it has a width of 2/x and a height of 4/x, find the length of the prism?
a. 4/5
b. 32x²/40x
c. 4
d. 4x/5
The length of the rectangular prism is L = 4x/5
What is the volume of a prism?A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.
The volume of a prism is the product of its base area and height
Volume of Prism = B x h
where B = base area of prism
h = height of prism
Given data ,
The formula for the volume of a rectangular prism is V = lwh, where l, w, and h are the length, width, and height of the prism, respectively.
In this problem, we are given that the volume of the prism is 7/(x - 3/5x) and the width and height are 2/x and 4/x, respectively.
So we can substitute these values into the formula for the volume and solve for the length:
V = lwh
7/(x - 3/5x) = l * (2/x) * (4/x)
Multiplying both sides by (x - 3/5x), we get:
7 = l * 8/(5x² - 3x)
Simplifying, we get:
l = 56x²/(5x² - 3x)
Now we need to check if this solution satisfies the condition that the width is 2/x and the height is 4/x:
w = 2/x, h = 4/x
V = lwh = (56x²/(5x² - 3x)) * (2/x) * (4/x) = 7/(x - 3/5x)
So the solution is correct.
Hence , the length of the prism is 56x²/(5x² - 3x), which can be simplified to 32x²/40x or 4x/5
To learn more about volume of prism click :
https://brainly.com/question/11336446
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Which of the following is the solution to the inequality?
y>4x-3
(-1,1)
(0,0)
(3,2)
Answer:
[tex]y > 4x - 3 = y + 3 > 4x \\ let \: take \: (0.0) \\ 0 + 4 > 4 \times 0 \\ 4 > 0 \\ solution = (0.0)[/tex]
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
y > 3x + 10
y < -3/4x - 1
Part A: Describe the graph of the system, including shading and the type of lines graphed. Provide a description of the solution area.
Part B: Is the point (8, 10) included in the solution area for the system? Justify your answer mathematically.
Answer:
Part A:
I have attached the graph of this system of inequalities.
Part B:
Plug in (8,10) into both equations
10 > 3(8) + 10
10 > 24 + 10
10 > 34
This is false!
10 < (-3/4)(8) - 1
10 < (-3)(2) - 1
10 < -6 - 1
10 < -7
This is also false!
So, (8,10) is not included in the solution area for the system.
Step-by-step explanation:
In a bakery that sells cookies, there are 4 oatmeal cookies for every 11 chocolate cookies. If there are 285 cookies altogether, how many oatmeal cookies are there? Pls explain how u solved
There are 76 oatmeal cookies:
4 + 11 = 15
285/15 = 19
19 × 4 = 76