Answer:
1. True
2. True
3. False
4. True
5. False
6. True
7. False
8. True
9. True
Bonus: ∠2 = 112°, ∠4 = 112°, ∠8 = 112°, ∠1 = 68°, ∠3 = 68°, ∠5 = 68°, ∠7 = 68°
Step-by-step explanation:
1. Angles 1 and 2 are supplementary because they form a straight line (180° angle) together.
2. Angles 1 and 5 are corresponding because their places (and angle measures) match.
3. Angles 2 and 5 are not alternate exterior angles because angle 5 is not on the outside area of the parallel lines.
4. Angles 4 and 6 are alternate interior angles because they are on opposite sides of the transversal and are both in the inside area of the parallel lines.
5. Angles 7 and 2 are not corresponding because their places (and angle measures) do not match.
6. Angles 3 and 6 are interior angles on the same side of the transversal because they are both in the inside area of the parallel lines and are on the same side of the transversal.
7. Angle 3 is not congruent to angle 8 because they do not have the same angle measures.
8. Angles 3 and 7 are corresponding angles because their places (and angle measures) match.
9. Angles 8 and 2 are alternate exterior angles because they are on opposite sides of the transversal and are outside areas of the parallel lines.
Bonus: If angle 6 has a measure of 112°, then the angle that supplements it has a measure of 68° (112 + 68 = 180). It also goes for the other angles that are congruent to angle 6.
Hope this helped :)
Please hurry up and help me thanks
Answer:
Line 1: m = 2
Line 2: m = 2
The lines are parallel.
Step-by-step explanation:
First, ensure both lines are in the slope-intercept form given as y = mx + b. where m is the slope of the line.
If the slope of both lines are the same, they are parallel.
If the slope of one is the negative reciprocal of the other, they are perpendicular.
If the slope of both lines are different and one is neither the reciprocal of the other, then they are neither parallel nor perpendicular.
✍️Line 1, y = 2x + 5, is already in the slope-intercept form.
✅The slope of Line 1 is 2
✍️Line 2, y - 3 = 2(x + 15), is in point-slope.
We can decide to rewrite in the slope-intercept form or directly determine the slope as it is given. The slope is 2. But to be sure, let's rewrite as y = mx + b.
y - 3 = 2(x + 15)
y - 3 = 2x + 30
Add 3 to both sides
y = 2x + 33
✅As we can see, the slope of line 2 is 2.
✍️Line 1 and line 2 has the same slope of 2, therefore the lines are parallel.
HELP ASAP!!
Adam sold 6 of wrapping paper and 9 wrapping paper for a total of $219. Jane sold 12 wrapping paper and 13 rolls of SHINY wrapping paper for a total of $353. Find the cost each of one roll of PLAIN wrapping paper and one roll of SHINY wrapping paper .
Answer:
The answer is $14.6 for the plain paper and $14.12
Step-by-step explanation:
I think i'm probably wrong but 6+9= 15 so 219 divided by 15 is 14.6 so thats answer 1 and 12+13=25 and 353 divided by 25 is 14.12
:p sorry if im incorrect
Answer: The first answer for 6 of wrapping paper and 9 wrapping paper is $7.30. The second answer for 12 wrapping paper and 13 rolls of SHINY wrapping paper is $4.38.
Step-by-step explanation:
Estimate the amount of the tip by rounding the bill to the nearest 10 dollars before calculating
15% tip on a bill of $483.82
the amount of the tip is approximately $_.
Answer:
My estimate is 73
Step-by-step explanation:
15% ?
____ ______
100 483.82
Steps:
1.First multiply 15 and (483.82).You should get (7257.3).
2.Next you have to divide 7257.3 and 100 which gets you 72.573.
3.Estimate:Round 72.573
73
Hopes this helps!!
WILL GIVE BRAINLIEST IF ITS CORRECT THANK YOU :)
Answer:
πxd
Step-by-step explanation:
21 laps in 7 minutes round to nearest hundredth
1What is the simple interest on #25 000 for 3years at 5% per annum?.
#28 750
#3 750
#2 875
#375
Answer:
3750
Step-by-step explanation:
Simple interest (I) is calculated as
I = [tex]\frac{PRT}{100}[/tex] ( P is the principal, R is rate of interest and T time in years )
Here P = 25000, R = 5 and T = 3 , thus
I = [tex]\frac{25000(5)(3)}{100}[/tex]
= [tex]\frac{375000}{100}[/tex]
= 3750
Uninhibited growth can be modeled by exponential functions other than A(t) =Upper A 0 e Superscript kt. For example, if an initial population Upper P 0 requires n units of time to triple, then the function P(t)equals Upper P 0 (3 )Superscript StartFraction t Over n EndFraction models the size of the population at time t. An insect population grows exponentially. Complete the parts a through d below.
The question is incomplete. Here is the complete question.
Uninhibited growth can be modeled by exponential functions other than [tex]A(t)=A_{0}e^{kt}[/tex]. for example, if an initial population P₀ requires n units of time to triple, then the function [tex]P(t)=P_{0}(3)^{\frac{t}{n} }[/tex] models the size of the population at time t. An insect population grows exponentially. Complete the parts a through d below.
a) If the population triples in 30 days, and 50 insects are present initially, write an exponential function of the form [tex]P(t)=P_{0}(3)^{\frac{t}{n} }[/tex] that models the population.
b) What will the population be in 47 days?
c) When wil the population reach 750?
d) Express the model from part (a) in the form [tex]A(t)=A_{0}e^{kt}[/tex].
Answer: a) [tex]P(t)=50(3)^{\frac{t}{30} }[/tex]
b) P(t) = 280 insects
c) t = 74 days
d) [tex]A(t)=50e^{0.037t}[/tex]
Step-by-step explanation:
a) n is time necessary to triple the population of insects, i.e., n = 30 and P₀ = 50. So, Exponential equation for growth is
[tex]P(t)=50(3)^{\frac{t}{30} }[/tex]
b) In t = 47 days:
[tex]P(t)=50(3)^{\frac{t}{30} }[/tex]
[tex]P(47)=50(3)^{\frac{47}{30} }[/tex]
[tex]P(47)=50(3)^{1.567}[/tex]
P(47) = 280
In 47 days, population of insects will be 280
c) P(t) = 750
[tex]750=50(3)^{\frac{t}{30} }[/tex]
[tex]\frac{750}{50}=(3)^{\frac{t}{30} }[/tex]
[tex](3)^{\frac{t}{n} }=15[/tex]
Using the property Power Rule of logarithm:
[tex]log(3)^{\frac{t}{30} }=log15[/tex]
[tex]\frac{t}{30}log(3)=log15[/tex]
[tex]t=\frac{log15}{log3} .30[/tex]
t = 74
To reach a population of 750 insects, it will take 74 days
d) To express the population growth into the described form, determine the constant k, using the following:
A(t) = 3A₀ and t = 30
[tex]A(t)=A_{0}e^{kt}[/tex]
[tex]3A_{0}=A_{0}e^{30k}[/tex]
[tex]3=e^{30k}[/tex]
Use Power Rule again:
[tex]ln3=ln(e^{30k})[/tex]
[tex]ln3=30k[/tex]
[tex]k=\frac{ln3}{30}[/tex]
k = 0.037
Equation for exponential growth will be:
[tex]A(t)=50e^{0.037t}[/tex]
The Angels won ten games out of sixteen of their games during the 2009 regular season. At this rate, how many games do they need to win 50 games?
Answer: 80
10/16=0.625
0.625x80=50
DUE TODAY PLEASE HELP!
I need help with both of these. What is x and what is the angle relationship converse used?
Answer: 12. X = 14
Step-by-step explanation:
10x + 17 = 87 + 5x
10x = 70 + 5x
5x = 70
X = 14
Help please!
A.
B.
C.
D.
Answer:
it is b
Step-by-step explanation:
bc it is the one thing that i had right to start with
-2/4 divided by 8/6
what do you think?
Answer: -3/8
Step-by-step explanation:
Evaluate 150-(2+2)^3
Answer:
86
Step-by-step explanation:
Answer: the answer is 86
Step-by-step explanation:
What would happen to the particles in liquid if you decrease the temperature?
A) The particles would speed up
B) The particles would slow down
C) The particles would slow down and then speed up really fast
D) The particles would turn into a gas
Answer:
would slow down
I am nt sure
Albert’s father is 24 years older than Albert. In 8 years, his father will be twice as old as Albert. How old is Albert now? How old is his father?
Answer:
Albert is 24. Albert's father is 48
Step-by-step explanation:
A line with a slope of -2 passes through the point (3-1). Which of the following is the equation of the line? (1) y=3x-2 (3) y=-2x + 5 (2) y = -4x-2 (4) y=-2x+1
Answer:
y=-2x-1
Step-by-step explanation:
What is the solution for x in the following equation?
2x-3=7 then evaluate 4x
-2x
Step-by-step explanation:
Answer:
x=5, 20
Step-by-step explanation:
2x-3=7
+3 both sides
2x=10
÷2 both sides
x=5
4(5)=20
In the morning, Marco sold 12 cups of lemonade for $3. By the end of the day, he had earned $9. How many cups of lemonade did he sell in all?
Kaycee wrote the proportion StartFraction 12 over 3 EndFraction = StartFraction 9 over c EndFraction for this situation. Identify the error and give two ways to write the proportion correctly.
Answer:
Marco earned $2.25.
Step-by-step explanation:
1. If Marco sold 12 cups of lemonade for 3$, we would divide 12 cups and how much he earned from the 12 cups (3$). 12/3 = 4
2. By the end of the day, Marco earned $9. So, 4 cups = 1$. To break it down, 1$ = 100 cents and 100 cents divided by 4 is 25 cents. Cups to Cost. ( 4 : 1 ) and/or ( 1 : 0.25 )
3. 8 cups = 2$ plus 1 cup (0.25) = 2.25.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Answer:
Kaycee did not keep lemonade and dollars in corresponding positions in the ratios of the proportion. The proportion should be 12/3=c/9 or it could be written 3/12=9/c. Dollars should be in the same position and cups should be in the same position across ratios.
Step-by-step explanation:
This was the example answer
Please Mark Brainliest
HELP PLEASE! Thank you! 15 POINTS
Answer:
Step-by-step explanation: for 8 thirds use the long lines to count back from 5 to 0 then once u get 0 use the little lines to get to 8 thirds towards 5 and do the same for -11 thirds but towrds -5
PLEASE HELP!! DUE SOON :( Question: Find the value of x.
Answer:
Ooh man, this was back in geometry I think, I think the answer is 4 if my calculations are correct.
i think the bigger side is twice the size of the smaller side, so 2 times 8 is 16,
16 = 5x - 4
x = 4
A square has side length (2x+3)in. What is the area of the square
Answer:
the area would be "4x2+9+12x"
sorry if this doesn't help :(
Step-by-step explanation:
Answer:
Answer given in the photo
A forest covers 71,000 acres. A survey finds that 0.3% of the forest is old-growth trees. How many acres of old-growth trees are there?
Answer:
213 acres
Step-by-step explanation:
a zoo has a total of 8 lions and tigers. the number if tigers is one lese than twice the number of lions. wirte a system or equations that represents the number of lions and tigers
Answer:
Step-by-step explanation:
X+y=8
X=2y-8
Answer:
8 lions 15 tigers
Step-by-step explanation:
what is this reference:wenlocktoad-sama
Answer:
oh wenlocktoad is a game developer on reblax
Question in picture solve
Justin has a crate that is 8 feet long 2 feet wide and 3 feet tall decide weather each of the crate sizes described below has the same volume as Justin's crate
Complete question is;
Justin has a crate that is 8 feet long, 2 feet wide, and 3 feet tall. Decide whether each of the crate sizes described below has the same volume as Justin’s crate.
a. 9 feet long, 1 foot wide, 4 feet tall
b. 8 feet long, 2 feet wide, 2 feet tall
c. 4 feet long, 4 feet wide, 3 feet tall
d. 8 feet long, 3 feet wide, 3 feet tall
e. 6 feet long, 2 feet wide, 4 feet tall Answer:
Options C & E have the same volume as Justin's crate.
Step-by-step explanation:
We are told Justin has a crate that is 8 feet long, 2 feet wide, and 3 feet tall.
Thus, original volume is;
V_o = 8 × 2 × 3 = 48 ft³
A) For a dimension of 9 feet long, 1 foot wide, 4 feet tall , volume is;
V_a = 9 × 1 × 4 = 36 ft³
B) For a dimension of 8 feet long, 2 feet wide, 2 feet tall, volume is;
V_b = 8 × 2 × 2 = 32 ft³
C) For a dimension of 4 feet long, 4 feet wide, 3 feet tall, volume is;
V_c = 4 × 4 × 3 = 48 ft³
D) For a dimension of 8 feet long, 3 feet wide, 3 feet tall, volume is;
V_d = 8 × 3 × 3 = 72 ft³
E) For a dimension of 6 feet long, 2 feet wide, 4 feet tall, volume is;
V_e = 6 × 2 × 4 = 48 ft³
Looking at all the options, the only ones that given a volume equal to Justin's original volume are options C & E.
#2. A field of grass feeds 36 cows for 4 days. How
many days would the same field feed 20 cows?
162 cow-days
Since the initial grass and the grass accumulated over 4 days is equal to 144 cow-days, the initial grass is equal to (144 − 36) or 108 cow-days. Now, to find the answer to the question: in 18 days, the grass accumulation is equal to 18 ∗ 9 or 162 cow-days.
Please consider marking brainliest! :)
Using the principle of proportional relationship, it will take 20 cows 7.2 days.
Setting up the relationship thus :
36 cows = 4 days
Hence, if they eact at the same rate ;
1 cow = 36 × 4 = 144 days
Hence, for 20 cows, it will take;
144 days ÷ 20
= 7.2 days
Hence, 20 cows will feed on the grass for 7.2 days
Learn more : https://brainly.com/question/25677607
please please help, i will mark the brainliest
Answer:
58
Step-by-step explanation:
i think this is the right answer. Not sure
Answer:
D.) 58 degrees
Step-by-step explanation:
If parallel lines are cut by a transversal then alternate interior angles are equal
Jenny packed 108 eggs in 9 cartons. What is her unit rate?
Answer: I think its 117 sorry if im
wrong
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
The vertex form of the function is
y = (x +
)2 +
.
Answer:
4, -19
Step-by-step explanation:
Answer:
4 and -19
Step-by-step explanation:
Answers on edge 2021
Write an equation that represents the question below...
Answer:
first use your brain
Step-by-step explanation:
step by step you have to learn first
Answer:
30
Step-by-step explanation:
15 x 2 = 30
he was q5 feet ahead so in another hour he will be 30 feet