Answers
Answer:
$0.84
Step-by-step explanation:
Related Questions
Proving the Parallelogram Side Theorem
Given: ABCD is a parallelogram.
Prove: AB=CD and BC=DA
Angles Segments Triangles Statements Reasons ZBAC ZBCA DAC ZDCA B с Statements Reasons A Assemble the proof by dragging tiles to the Statements and Reasons columns.
Answers
Answer:
A parallelogram is a quadrilateral that has two parallel and equal pairs of opposite sides.
From the given diagram,
Given: AD = BC and AD || BC, then:
i. AB = DC (both pairs of opposite sides of a parallelogram are congruent)
ii. <ADC = < BCD and < DAB = < CBA
thus, AD || BC and AB || DC (both pairs of opposite sides of a parallelogram are parallel)
iii. < BAC = < DCA (alternate angle property)
iv. Join BD, line AC and BC are the diagonals of the quadrilateral which bisect each other. The two diagonals are at a right angle to each other.
v. <ADC + < BCD + < DAB + < CBA = (sum of angles in a quadrilateral equals 4 right angles)
Therefore, ABCD is a parallelogram.
Step-by-step explanation:
The solution is, ABCD is a parallelogram.
What is parallelogram?A parallelogram is a quadrilateral that has two parallel and equal pairs of opposite sides.
here, we have,
From the given diagram,
Given: AD = BC and AD || BC, then:
i. AB = DC (both pairs of opposite sides of a parallelogram are congruent)
ii. <ADC = < BCD and < DAB = < CBA
thus, AD || BC and AB || DC (both pairs of opposite sides of a parallelogram are parallel)
iii. < BAC = < DCA (alternate angle property)
iv. Join BD, line AC and BC are the diagonals of the quadrilateral which bisect each other.
The two diagonals are at a right angle to each other.
v. <ADC + < BCD + < DAB + < CBA = (sum of angles in a quadrilateral equals 4 right angles)
Therefore, ABCD is a parallelogram.
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Plz help very important question
Answers
9514 1404 393
Answer:
g(2a) = 8a
Step-by-step explanation:
Put the argument where the variable is and simplify.
g(a) = 4a
g(2a) = 4(2a) = 8a
g(2a) = 8a
Write an equation for each problem, then solve for x.
A number increased by 8 equals 32. Find the number. ______________________
Four times a number is 48. Find the number. ______________________
Double a number decreased by 18 is 116. Find the number. ______________________
Add twelve to eight times a number and the result is eighty-four. Find the ______________________
number.
Increase my age by eleven years and I become thirty-seven. Find my age. ______________________
7)Solve each of the following word problems.
a) Amber is 7 years younger than her sister Carley. Together their ages total 43 years.
How old are Amber and Carley?
Amber: ___ years old Carley: ___years old
b) Jordan & Nevin have collected 160 buttons. Jordan has 25 buttons more than twice as
many buttons as Nevin. How many buttons do they each have?
Jordan: _____ buttons Nevin: ____ buttons
c) There are three members in the Murphy family. Mom, Dad & Brittany. Dad is 3 years
older than Mom. Brittany is 32 years younger than her Dad. If the sum of their ages is 64,
find the age of each member of the Murphy family.
Mom: _____years old Dad: ____years old Brittany: ____years old
d) The sum of three numbers is 138. The second number is twice the first and the third is 7
less than the second. What are the numbers?
1st #: _____ 2nd: _____ 3rd: _____
Answers
Subtract 8 from both sides to isolate x.
x = 24
2. 4y = 48
Divide each side by 4 to isolate y
y = 12
3. 2z - 18 = 116
Add 18 to each side, then divide each side by 2 to isolate z
z = 67
4. 8a + 12 = 84
Subtract 12 from each side and divide each side by 8 to isolate a.
a = 9
5. b + 11 = 37
Subtract 11 from each side to isolate b
Age = 26 years
7.
a. 2x - 7 = 43
Add 7 to each side and divide by two to isolate x.
x = 25
Carley is 25 years old and Amber is 18 years old.
b. x + 2x + 25 = 160
Combine like terms, subtract 25 from each side, and divide each side by 2 to isolate x.
Nevin (x) has collected 45 buttons. Jordan has collected 115 buttons.
c. x + x + 3 + x - 29 = 64
Combine like terms, add 26 to each side, and divide by 3 to isolate the variable.
x = 30
Mom (x) is 30 years old, Dad is 33 years old, and Brittany is one year old.
d. x + 2x + 2x - 7 = 138
Combine like terms, add 7 to each side, and divide by 5 to isolate the variable.
x = 29
29, 58, 51
-8 - x = x - 4x
how does x equal to 4 and how do u do this
Answers
Answer:
x=4
Step-by-step explanation:
-x=-3x+8
-x+3x=-3x+8+3x
2x=8
2x/2 = 8/2
x = 4
Two Supplementary angles are in the ratio 5 : 7, then the measure of two angles are *
1 point
75°, 105°
72°, 108°
60°, 120°
40°, 140° Two Supplementary angles are in the ratio 5 : 7, then the measure of two angles are *
1 point
75°, 105°
72°, 108°
60°, 120°
40°, 140°
Answers
Answer:
75°, 105°
Step-by-step explanation:
Supplementary angles sum to 180°
Sum the parts of the ratio, 5 + 7 = 12 parts
Divide 180° by 12 to find the value of one part of the ratio.
180° ÷ 12 = 15° ← value of 1 part of the ratio, thus
5 parts = 5 × 15° = 75°
7 parts = 7 × 15° = 105°
please help asap! xoxo
Answers
Answer:
First one obv false
the second one since they all times 3/4 so yes
What is the average rate of change in profit from Hour 5 to Hour 10?
Answers
Answer:
d
Step-by-step explanation:
so at 5 hours he was at a profit of 900 and 5 hours later he is at a profit 1500 then you can sub tract 900 from 1500 which gives you 600
$600 is the average rate of change in profit from Hour 5 to Hour 10
What is Rate of change?A rate of change is a rate that describes how one quantity changes in relation to another quantity
The given table is
Hour Profit
0 $0
2.5 $500
5 $900
7.5 $1200
10 $1500
5 hours the profit is 900 and 5 hours later he is at a profit 1500
We need to subtract 900 from 1500 to find the average rate of change.
1500-900=600
Hence $600 is the average rate of change in profit from Hour 5 to Hour 10
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Find the missing length of C given the polygons are similar figures.
Answers
2x4=8
The length of C is 8m
Hope this helps you!
Someone help me please I don’t know how to do this
Answers
Step-by-step explanation:
A
y=10x
x:y=x:10x=1:10
What is the average rate of change for f(x) = -5* + 140 over the interval 1 sxs 3?
es )
A)
-120
B)
-60
120
D)
60
Answers
Answer:-60
Step-by-step explanation:
Read the excerpt from A Short Walk Around the Pyramids and through the World of Art.
This is another bronze sculpture, and it is also in a museum. Called Knife Edge Mirror Two Piece, it is a huge work by the British sculptor Henry Moore and stands at the entry of the East Building of the National Gallery of Art in Washington, D.C.
Which text feature would best help readers understand important details in this excerpt?
a drawing of British sculptor Henry Moore
a picture of Knife Edge Mirror Two Piece
a drawing of Henry Moore
a table numbering the sculptures in the East Building
Answers
Answer:
B. a picture of Knife Edge Mirror Two Piece
Step-by-step explanation:
pls give brainliest, u don't have to
Did it on edge, hope u have a good day :)
Answer:
b
Step-by-step explanation:
Determine which equation is parallel to line JK and which is perpendicular to line JK. [5x - 3y = 8 [6x - 10y=7 15x + 3y = 13 (6x + 10y = 11 YA +10 -8 - 10 10 -6 -2 6 2 2 8 10 Parallel Line Perpendicular Line
Answers
Answer:
5x + 3y = 13 parallel.
6x - 10y = 7 perpendicular.
The equation which is parallel to the line JK is
a) Parallel is 5x + 3y = 13
b) Perpendicular is 6x - 10y = 7
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be J ( -5 , 5 )
Let the second point be K ( 1 , -5 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 5 - ( -5 ) ) / ( -5 - 1 )
m = 10 / -6
m = -5/3
The parallel lines have same slope and the perpendicular lines have the negative reciprocal of slope
So , the equation of line parallel to JK is 5x + 3y = 13
And , the equation of line perpendicular to line JK is 6x - 10y = 7
Hence , the equation of line is solved
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i need help on my finals
Answers
Answer:
Slope of line A is 1/3
Equation of Line B is y = 2x + 4
In 2010 the Network Club membership was 2,500. With an annual growth rate of approximately 8%, compounded continuously, what will the membership be in 2020?
Answers
Answer:
5563.85 But round the nearest whole number is 5564
Step-by-step explanation:
Formule is P=Ie^(r)(t)
If, In 2010 the Network Club membership was 2,500. With an annual growth rate of approximately 8%, compounded continuously, then 5563.85 is the population in 2022.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
In 2010 the Network Club membership was 2,500.
Annual growth rate of approximately 8%
8% is converted to decimal value by dividing 8 with 100
8/100=0.08
[tex]P=Ie^{rt}[/tex]
p is the final population
I is the initial population
[tex]p=Ie^{0.08(10)}[/tex]
[tex]p=2500e^{0.8}[/tex]
p=5563.85
Hence, 5563.85 is the population in 2020.
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Decide whether each of the following is greater than 1 or less than 1 and explain your answer.
1.) 1/2 ÷ 1/4 =
2.) 1 ÷ 3/4 =
3.) 2/3 ÷ 7/8 =
4.) 2 7/8 ÷ 2 3/5 =
Answers
Answer:
4.) 2 7/8 ÷ 2 3/5 =
1. Greater than 1
2. Greater than 1
3. Less than 1
4. Greater than 1
Step-by-step explanation:
I took the quiz
Kat runs 12 miles each week. How
many miles will she have run after
20 weeks?
Answers
Answer: 240 miles
Step-by-step explanation:
Suppose you loan $320 to a friend and charge them 11% annual interest. If they don't pay any back, how many years will it take for them to owe you $2,000? Round your answer to the nearest hundredth (2 places after the decimal).
Answers
Step-by-step explanation:
For them to owe you a total of$2000 then an interest of $2000-320=$1680 must have accrued over the time T
T=$1680×100/320×11
T=47.7272...≈47.73 to the nearest hundredth
Proof,
Interest after 47.7262...years which is converted to 525/11 years
=($320×11×525/11)/100
=$1680
therefore total amount which will be owed at that time =principal+interest accrued
=$320+1680=$2000
Angela asked each student in her class about the height of the fence around their house. She made the histogram below to
represent the heights of each student's fence.
Height of Fence
16
14
12
10
Students
8
6
4
2
8
10
12
6
Feet
Which statement is true?
OA. The data distribution is both symmetric and skewed.
OB. The data distribution is skewed to the right.
OC. The data distribution is skewed to the left.
OD. The data distribution is symmetric.
Answers
Answer:
Angela asked each student in her class about the height of the fence around their house. She made the histogram below to
represent the heights of each student's fence.
Height of Fence
16
14
12
10
Students
8
6
4
2
8
10
12
6
Feet
Which statement is true?
OA. The data distribution is both symmetric
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
When you can.. please answer these! THANK YOU SO MUCH WAHHH
Match the corresponding rational expressions with the letter of the correct answer.
Answers
Answer:
1-C
2-F
3-A
4-D
5-B
6-E
Step-by-step explanation:
Find EF. Please help!
Answers
Answer:
EF = 7 + 39 = 46
Step-by-step explanation:
EF = FG
x + 39 = 7x - 3
39 + 3 = 7x - x
42 = 6x
x = 42/6
x = 7
hope this helps :)
Solve (x-4)^2 = 5
A. x= 4 +- square of 5
B. x= 9 and x= -1
C. x= 5 +- square of 4
D. x= -4 +- square of 5
Answers
Answer:
A
Step-by-step explanation:
Assuming you mean the square root of five, then the answer is A.
You start by taking the square root of both sides.
√(x - 4)^2 = ±√5
x - 4 = ±5
x = 4 ±5
A forest fire wipes out many trees in an ecosystem. The main limiting factor would be
a.water
b.shelter
c.herbivores
d.predators
Answers
Write the equation of the line that goes through the point (1,3) & is
PARALLEL to the line y=2x+8 *
Answers
Answer:
y = 2x + 1
Step-by-step explanation:
Let the equation of the line be y = mx + c
since it is parallel to y = 2x + 8, their slope/gradient is the same (aka m = 2)
sub (1, 3):
3 = 2(1) + c
c = 1
therefore, the equation is y = 2x + 1
This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
If Josiah’s speed, in miles per minute, is constant, what is the constant of proportionality?
Answers
Answer:
the constant of proportionality is 1 mile
Step-by-step explanation:
what is the y intercept
Answers
Set x as 0 and solve
Ignore the dumb kid who said y=8
How much higher is 500 than -400m
Answers
Answer:
Obvious 500 is higher than -400m
Which of the following fractions is equivalent to 2:11?
A.
3/11
B.
2/12
C.
2/11
Answers
Answer:
Step-by-step explanation:
Step 1:
2 : 11 Ratio
Having a ratio is the same thing as dividing so if you divide 2 by 11 you get 2/11.
Step 3
2 ÷ 11
Answer:
C. 2/11
Hope This Helps :)
Find x, AB, BC, AC if △ABC is isosceles with AB = BC.
Answers
Step-by-step explanation:
Since we are not given the required parameters, we can use the following parameters
Given:
∠ A = 5 x + 30 °
∠ B = 2 x
Since △ABC is isosceles with AB = BC, then ∠ A = ∠ C (the base angles of an isosceles triangle are equal)
Since sum of angle in a triangle are the same, then;
∠ A + ∠ B + ∠ C = 180°
Substitute the given functions and get x;
5x+30 + 2x + 5x+30 = 180
12x + 60 = 180
12x = 180-60
12x = 120
x = 120/12
x = 10°
∠ A = 5x+30
∠ A = 5(10)+30
∠ A = 80°
Since ∠ A =∠ C
∠ C = 80°
For ∠ B;
∠ B = 2x
∠ B = 2(10)
∠ B = 20°
Let AB = 1, since AB = BC, BC = 1
To get AC, use the sin rule;
a/sin∠ A = b/sin∠ B
a/sin80 = 1/sin20
asin20 = sin80
a = sin80/sin20
a = 0.9848/0.3420
a = 2.879
Hence AC ≈ 3
Note that the values of the sides and angles are assumed.
which one is it?? answer right for brain liest
Answers
Answer:
20 (D)
Step-by-step explanation:
2.5 miles in 1/8 of a mile
so multiply by 8 to get 1 hour
2.5 * 8 = 20
Sofia measured a line to be 8.9 inches long. If the actual length of the line is 8.7 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answers
Answer:
2.2%
Step-by-step explanation:
Use the percent error formula:
% error = | (approx - exact) ÷ approx | x 100
Plug in the approx. and exact values:
| (8.9 - 8.7) ÷ 8.9 | x 100
| (0.2) ÷ 8.9 | x 100
= 2.2
So, the percent error is 2.2%
Answer:1.2%
Step-by-step explanation:
∣experimental−actual∣
×100
The formula
∣
8.7
−
8.6
∣
8.6
×
100
8.6
∣8.7−8.6∣
×100
Plug in values
∣
0.1
∣
8.6
×
100
8.6
∣0.1∣
×100
Subtract
0.1
8.6
×
100
8.6
0.1
×100
Take the absolute value
0.0116279
×
100
0.0116279×100
Divide
1.16279
1.16279
Multiply by 100
1.2
%
1.2%