Answers
Answer:
HJ > PK
Step-by-step explanation:
Notice that the side PL in one triangle has the same length as side GJ in the other, and side GH has the same size as side LK of the other triangle. Now what is different is the angle subtended between these sides in the case of the triangle on the lower left, the subtended angle is \(90^o\) , which is larger angle than that subtended between equal sides on the other triangle (\(85^o\))
Therefore, if the angle subtended by the equivalent sides in the triangle on the left is larger than the angle subtended on the right hand side triangle, then the sides associated with such angle aperture must keep the inequality. That is:
Since \(\angle\,G\,\,\,>\,\,\,\angle \,L\), then HJ > PK
Related Questions
Jasmine is scuba diving at an elevation of −68.4 feet when her friend signals to come higher. Jasmine makes three ascents, each an equal distance, to reach an elevation of −15.6 feet, where her friend is located. What was Jasmine's elevation after her first ascent? Enter your answer as a decimal in the box.
Answers
Answer:
-35.2
Step-by-step explanation:
-68.4-(-15.6)= (-52.8)
-52.8÷3=(-17.6)
-52.8-(-17.6)=-35.2
Answer:-35.2
Step-by-step explanation:
The linear function that is represented by which table has the same slope as the graph? On a coordinate plane, a line goes through points (0, negative 3) and (2, 1). a A 2-column table with 5 rows. Column 1 is labeled x with entries negative 25, negative 21, negative 17, negative 13, negative 9. Column 2 is labeled y with entries negative 9, negative 7, negative 5, negative 3, negative 1. b A 2-column table with 5 rows. Column 1 is labeled x with entries negative 25, negative 21, negative 17, negative 13, negative 9. Column 2 is labeled y with entries 9, 7, 5, 3, 1. c A 2-column table with 5 rows. Column 1 is labeled x with entries negative 9, negative 7, negative 5, negative 3, negative 1. Column 2 is labeled y with entries negative 25, negative 21, negative 17, negative 13, negative 9. d A 2-column table with 5 rows. Column 1 is labeled x with entries 1, 3, 5, 7, 9. Column 2 is labeled y with entries negative 9, negative 13, negative 17, negative 21, negative 25.
Answers
Option C. A 2-column table with 5 rows. Column 1 is labeled x with entries negative 9, negative 7, negative 5, negative 3, negative 1. Column 2 is labeled y with entries negative 25, negative 21, negative 17, negative 13, negative 9. This labeled is correct.
According to the linear function,
Every linear function is characterized by a constant rate of change; the slope. The slope of a linear function is a measure of the “steepness” of the line. We use the symbols Δx and Δy which mean respectively the “change in x ” and the “change in y ”.
So Option C is correct after all assumptions.
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What is the common ratio of the geometric sequence?
Number graph ranging from zero to ten on the x axis and zero to twenty-eight on the y axis. Points are plotted on the graph at (one, eight), (two, twelve), (three, eighteen) and (four, twenty-six point five). The points form a general positive trend.
Answers
A geometric series is one in which there is a constant between two successive numbers in the series.
What is geometric progression?When there is a constant between the two successive numbers in the series then it is called a geometric series. In other words, every next term is multiplied by that constant term to form a geometric progression.
The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression
Suppose the series is given as
2,4,8,16,32,64.........
The common difference is defined as the ratio of the next term to the previous term.
From the above series, the common ratio is calculated as,
Common ratio = 4 / 2
Common ratio = 2
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Which of these systems of equations has one solution?
Answers
Answer: B
Step-by-step explanation:
Which point is located at 3/4
Answers
Answer:
C
Step-by-step explanation:
It is on the third out of the fourth line, hence 3/4.
hope this helped, pls mark brainliest :D
Answer:
c
Step-by-step explanation:
a sports tournament has three teams each team has the same number of players there are 21 players total how many players does each team have (plz I need this) ☁️
Answers
Answer:
7
Step-by-step explanation:
3 team and 21 players
21÷ 3= 7
Quai has 120 meters of fencing. she wants to use all the fencing to make a rectangular flowerbed with a length of x cm and a width of y cm
a) Find an expression for the perimeter in terms of x, y and 120.
b) Rearrange your equation to make y the subject.
c) Find an expression for the area, A, of the flower bed.
d) Show that A can be wriitn as A= 60x - x^2
e) On your GDC sketch this equation to find the maximum area.
f) Write down the maximum area and the values of x and y when this occurs.
Answers
The area of the waterbed formed with a fixed length of fencing, has an
area given by a quadratic function.
a) The expression is; 2·x + 2·y = 120b) y = 60 - xc) A = x × yd) A = x × y = x × (60 - x) = 60·x - x²e) Please find the required graph created with MS Excel, showing the maximum area.f) The maximum area of 900 cm² occurs at the point where x = 30 cm and y = 30 cmReasons:
The length of fencing available = 120 m
Length of the rectangular flowerbed = x cm
Width of the flowerbed = y cm
a) The perimeter of the flowerbed = The length of the fencing available
The perimeter of a rectangle = 2 × Length + 2 × Width
Therefore;
Perimeter of the flowerbed, P = 2·x + 2·y = 120
b) The equation, P = 2·x + 2·y = 120, can be rearranged as follows;
2·x + 2·y = 120
Therefore;
(2·x + 2·y) ÷ 2 = 120 ÷ 2 = 60
x + y = 60
Which gives;
y = 60 - x
c) The area of a rectangle = Length × Width
Therefore;
The area of the rectangular flowerbed is, A = x × y
b) From part (b) above;
y = 60 - x
From part (c);
A = x × y
Therefore;
A = x × (60 - x) = 60·x - x²
A = 60·x - x²
e) Please find attached the graph of the equation A = 60·x - x², created with MS Excel
From the graph, we have;
The maximum area (point) is 900 cm² when the width is x = 30 cm
f) The function for the area is a quadratic function (f(x) = a·x² + b·x + c)
The value of x at the maximum area is given as follows;
\(\displaystyle x = \mathbf{ -\frac{b}{2 \cdot a}}\)
Where, A = 60·x - x², we have;
\(At \ the \ maximum \ area, \ \displaystyle x = -\frac{60}{2 \times (-1)} = 30\)
Therefore;
Maximum area, \(A_{max}\) = 60 × 30 - 30² = 900
The maximum area is 900 cm², at x = 30
y = 60 - x
Therefore;
y = 60 - 30 = 30
At the maximum area, x = 30, and y = 30
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Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
Answers
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
Unions, intersections, and complements involving 2 sets
Sets B and C are subsets of the universal set U.
These sets are defined as follows.
U={f, k, m, s, x, y, z)
B={k, s, y}'
C={s,z}
(a) B'UC' = 1
(b) B'nc =
Answers
Intersection of B'∩C = {k, y}
To find the intersection of B' and C, we need to first find the complement of set B (B') and then find the intersection between B' and C.
1. Complement of set B (B'):
The complement of set B (B') consists of all elements in the universal set U that are not in set B. From the given information, set B is defined as {k, s, y}', which means it contains all elements in U except for k, s, and y. Therefore, the complement of set B is {f, m, x, z}.
2. Intersection between B' and C:
Now, we need to find the intersection between B' (complement of B) and set C. From the given information, set C is defined as {s, z}. To find the intersection, we need to identify the common elements between B' and C.
The elements present in both B' and C are k and y. Therefore, the intersection of B' and C is {k, y}.
So, the answer to (b) is B'∩C = {k, y}.
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QUESTION 4 PATTERNS, FUNCTIONS AND ALGEBRA 1. Given 6x³-8x³+2+9x7-4x a. How many terms are there in the polynomial? State the degree of the polynomial c. Determine the value of the polynomial if x=-1 b.
Answers
Answers:
a) There are 5 termsb) Degree = 7c) The value is -1==========================================
Explanation:
a) Each term is separated by a plus or a minus.b) The degree is equal to the largest exponent. This applies to single variable polynomials only.c) Replace each x with -1. Then use the order of operations PEMDAS to simplify. You should get -1 as the answer. Use a calculator to confirm. It is a coincidence that we have the same input and output. This will not always happen with any general polynomial function.How many times smaller is 5 x 10^-10 than 8.5 x 10^-4
Answers
This shows that 5 x 10^-10 is 1.7 * 10^6 times smaller than 8.5 x 10^-4
Scientific notationsRatios are written as fractions. In order to determine how many times smaller, we will take the ratio of the scientific notation;
Ratio = 8.5 x 10^-4/ 5 x 10^-10
Ratio = 8.5/5 * 10^-4/10^-10
Ratio = 1.7 * 10^-4-(-10)
Ratio = 1.7 * 10^6
This shows that 5 x 10^-10 is 1.7 * 10^6 times smaller than 8.5 x 10^-4
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2. The population of a town was 7,250 in 2014
and 7,375 in 2015. What was the percent
increase from 2014 to 2015 to the nearest
tenth of a percent?
A) 1.5%
B) 1.6%
C) 1.7%
D) 1.8%
E) 2.0%
E
Answers
The percentage change of the population is P = 1.7 %
Given data ,
To calculate the percent increase from 2014 to 2015, we need to find the difference between the two population values, divide it by the initial value, and then multiply by 100 to get the percentage.
Population increase = 7,375 - 7,250 = 125
Percent increase = (Population increase / Initial population) * 100
Percent increase = (125 / 7,250) * 100 ≈ 1.7241
Rounding to the nearest tenth of a percent, the percent increase is approximately 1.7%.
Hence , the percentage change is P = 1.7 %
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What is the measure of AR in 0 below?
R
0
142⁰
OA. 142°
OB. 38°
A
C. 218°
D. 322°
Answers
Answer:
142°
Step-by-step explanation:
Given is a circle with center O
A and R are points on the circumference
AOR is given as 142 degrees
AOR angle is nothing but the arc (minor) AR subtends at the center.
Hence the measure of AR = angle the minor arc AR subtends at the center
= 142 degrees
Central angles are subtended by an arc between those two points, and the arc length is the central angle of a circle of radius one (measured in radians). The central angle is also known as the arc's angular distance. The size of a central angle Θ is 0° < Θ < 360° or 0 < Θ < 2π (radians).
Solve four sixths plus one third
six sixths or 1
seven sixths
five thirds
twelve sixths or 2
Answers
Answer:
Solve four sixths plus one third
The answer is 1
Solve for X: Enter your answer in the box.
Answers
Answer: 6
Step-by-step explanation:
You buy rice at $0.71 a pound. One batch of fried rice requires 6.5 pounds of rice. How much does the rice for one batch cost?
Answers
Answer:
about $4.61
Step-by-step explanation: you cant split 1 cent and 35 + 35 is 70 and that is half for the half pound then just use 71 cents x 6
What is 19 and 2/10 decided by 1 and 6/10
Answers
Find the measure of the
indicated angle. Round to the
nearest degree.
27
?
38
Please explain!!!
Answers
Answer:
cc
Step-by-step explanation:
Gym City charges a $30 sign-up fee, plus a monthly fee of $25. FitnessExpress charges a $20 sign-up fee, plus a monthly fee of $30. How muchmoney would Leslie save in a 6-month period by joining Gym City insteadof Fitness Express? PLSSSS
Answers
Answer:
$20
Step-by-step explanation:
Gym city fees are:
Sign up = 30
6 monthly sub = 6 x 25 = 150
Total fees = 30 + 150
FitnessExpress fees are:
Sign up = 20
6 monthly sub = 6 x 30 = 180
Total fees = 20 + 180 = 200
Therefore, the difference between the two is $20
five less than a number is three
Answers
Answer: The number is 8.
Step-by-step explanation: Do the reverse operation and add 5 to 3, this gives us 8, so the number must be 8, to check, we can do 8 minus 5, it gives us 3.
Hope this helps.
Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a
congruence statement,
If no, justify your answer.
Answers
Answer:
Yes, there is enough information to prove that the triangles are congruent.
ASA POSTULATE
Step-by-step explanation:
\( In\:\triangle PQR \: and \triangle TSR\\\)
\( \angle PQR \cong \angle TSR...(given) \\\)
\( QR\cong SR..... (given) \\\)
\( \angle PRQ \cong\angle TRS\\(Vertical \: \angle s) \\\)
\( \therefore \triangle PQR \cong \triangle TSR\\(ASA\: postulate) \)
Answer:
YesStep-by-step explanation:
Given
One angle and a side of one triangle are congruent to same on another triangleAlso angle R is vertical and therefore equal for both trianglesWe have two angles and included side congruence which is ASA
Write each expression in terms of sine and cosine, and then simplify so that no quotients appear in the final expression and all functions are of theta only. (sec theta - csc theta )(cos theta + sin theta)
Answers
Answer:
\(\tan \theta-\cot \theta\)
Step-by-step explanation:
\((\sec \theta - \csc \theta)(\cos \theta + \sin \theta)= \\\\\\\left( \dfrac{1}{\cos \theta}-\dfrac{1}{\sin \theta} \right)(\cos \theta + \sin \theta)= \\\\\\\left( \dfrac{1}{\cos \theta} \cdot \cos \theta \right) + \left( \dfrac{1}{\cos \theta} \cdot \sin \theta \right) - \left( \dfrac{1}{\sin \theta} \cdot \cos \theta \right) - \left( \dfrac{1}{\sin \theta} \cdot \sin \theta \right)= \\\\\\1+\dfrac{\sin \theta}{\cos \theta}-\dfrac{\cos \theta}{\sin \theta} -1= \\\\\\\tan \theta-\cot \theta\)
Hope this helps!
Suppose Maureen turn in a late vote for giraffe. What is the new ratio of giraffe votes to rabbit votes
Answers
Answer:
The answers are 2 and 3 Ratio
Step-by-step explanation:
Because I got it wrong I know the right answer
Answer:
2 to 3
Step-by-step explanation:
just did the quiz
PLEASE HELP!!
Which function, g or h, is the inverse function for function f??
Answers
Answer: The function h because the graphs of f and h are symmetrical about the line y=x.
Evaluate y+(−14), when y=30.
Answers
Answer:
think it 16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
first you want to plug 30 into the equation so you have 30+(-14), then you add 30 and -14 together and you get 16
hope this helps.
A triangular garden has an area of 9 square yards. Which figure could represent the garden? 9 yd 9yd,
6 yd 6 yd , 6yd 3yd, 3yd 3yd
Answers
Answer:
3yds by 3yds
Step-by-step explanation:
3×3=9
A garden is sodded in the shaded portion below. How many square feet were covered with sod?
Answers
Answer:
Step-by-step explanation:
Please help
Fill in each answer box so that the resulting statement is true
View image
Answers
root -1
Second box
i
Third box
i3
HELP FAST AGAIN PLEASE I BEG U
Answers
Answer:
\(\frac{72}9\)
Step-by-step explanation:
We're asked to find out how many pages we will need to use if each paper can hold up to 9 cards. To find this, we would have to divide our total amount of cards by 9.
Find the area in blue.
Answers
Answer: The area is 13\(\pi\)ft^2 or 40.84 ft^2
Step-by-step explanation:
First find the area of the square and subtract it from the area of the circle.
The area of a square is one of the side length squared.
A= 6^2
A = 36
Now find the area of the whole circle.As it indicates that the diameter is 14ft and to find the area of a circle,we need square the radius and multiply it by pi.
Since the diameter is 14 divide it by 2 to find the radius. 14/2 = 7
A= 7^2*\(\pi\)
A = 49\(\pi\) We will leave the area in terms of pi.
49\(\pi\) - 36 = 13\(\pi\)