Answers
Answer:
question 3.3 Answer: Angle 3
question 3.4 Answer: ABD and DBC are complementary angles
question 3.5 Answer: x is 7 degrees (first answer option)
Step-by-step explanation:
First question:
Recall that suplementary angles are those whose addition gives 180 degrees. Therefore the supplementary angle to angle 8 is angle 3.
Second question:
Recall that complementary angles are those angles which added give 90 degrees. Therefore, the only correct answer for this question is the third one: ABD and DBC are complementary angles.
Third question:
Notice that the two angles added should render 90 degrees, therefore, their expression should as well add to 90 degrees. Such can be written in equation form as:
( 6 x - 20 ) + (4 x + 40 ) = 90
combining like terms and later solving for x we get:
6 x + 4 x - 20 + 40 = 90
10 x + 20 = 90
10 x = 90 - 20
10 x = 70
x = 7
Therefore x is 7 degrees
Related Questions
Gabriel surveyed 1000 of the students in his school about their favorite color. 55% said their favorite color was purple. How many students' favorite color was purple?
Answers
Answer:
550 students
Step-by-step explanation:
Answer:
550 students
Step-by-step explanation:
The Perez family is researching the cost of keeping their dog at a kennel during an upcoming vacation. The local kennel allows “Silver” families to pay a rate of $36 per day. For a fee, families can buy a “Gold” membership and will be allowed to board their dogs at a discounted rate as shown in the table. Total Cost, Including Membership Fee, to Board a Dog Type of membership 1 Day 2 Days 7 Days Silver $36 $72 $252 Gold $70 $90 $190 What is the cost of a Gold membership? $20 $34 $50 $70
Answers
Answer:
it is 50 dollars
Step-by-step explanation:
Answer:
the answer is c.50
Step-by-step explanation:
i just did the assignment
Simplify the ratio 24/36
Answers
Answer:
2:3
Step-by-step explanation:
24:36
24÷12=2
36÷12=3
Answer=2:3
Answer:
2 : 3
Step-by-step explanation:
24/36 ?
[tex] \frac{24}{36} \div \frac{12}{12} \\ = \frac{24 \div 12}{36 \div 12} \\ = \frac{2}{3} [/tex]
2/3 = 2 : 3
3. If 7 large pizzas are purchased for a party, the amount of pizza each person can have is
inversely proportional to the number of people who come to the party. If 14 people come to
the party, each person can have 6 slices. How many slices can each person have if 21 people
come to the party.
Answers
Answer:
9 slices
Step-by-step explanation:
Set up a proportion:
[tex]\frac{14}{6}[/tex] = [tex]\frac{21}{x}[/tex]
Cross multiply and solve for x, the amount of slices if 21 people come:
14x = 126
x = 9
So, each person can have 9 slices
The standard unit for length is the ____. yard meter foot milliter please help its due in 6 mins!!!
Answers
Answer:
Meter
Step-by-step explanation:
The standard unit of length based on the metric system is a meter (m). According to the length that needs to be measured, we can convert a meter into various units like millimeters (mm), centimeter (cm), and kilometer (km).
An open box is constructed of 3500 cm2 of cardboard. The box is a cuboid, with height h cm and square base of side x cm. What is the value of x which maximises the volume of the box? Give your answer in cm correct to 3 significant figures.
Answers
Answer:
this is confusing and my head hurts
Step-by-step explanation:
F(x)=-2x -3 and g(x)=x^2 +5x,find g(2)-f(3)
Answers
Answer:
f(3)= -9, g(2)=4
Step-by-step explanation:
F(3)= -2(3) -3
F(3)= -6 -3
F(3)= -9
G(2)= 2^2
G(2)= 2×2
G(2)= 4
Construct a line through P that is
perpendicular to the line.
Answers
Answer:
The construct a line through P that is perpendicular to the line.
Step-by-step explanation:
Given that,
Construct a line through P that is perpendicular to the line.
We need to construct a perpendicular line P
Using given data
We draw an arc across the line on each side of the point P.
Now, from each arc on the line, draw another arc on the opposite side of the line from the point P.
The point P to the point where the arcs intersect Q.
Hence, The construct a line through P that is perpendicular to the line.
The equation of the perpendicular line through point 'P' is [tex](y-y_1)=-\dfrac{1}{m'}(x-x_1)[/tex] and this can be determined by using the point-slope form of the line.
The following steps can be used in order to construct a line through P that is perpendicular to the line:
Step 1 - The equation of a line that passes through point 'P' is given below:
[tex](x-x_1)=m(y-y_1)[/tex]
where m is the slope and [tex](x_1,y_1)[/tex] is the point 'P' on the line.
Step 2 - So, the slope of the perpendicular line through point 'P' is:
[tex]mm' = -1[/tex]
[tex]m'=-\dfrac{1}{m}[/tex]
Step 3 - So, the equation of the perpendicular line through point 'P' is:
[tex](y-y_1)=-\dfrac{1}{m'}(x-x_1)[/tex]
For more information, refer to the link given below:
https://brainly.com/question/2564656
X=4 y=0 z=4 x-9y/-z algebraic expression
Answers
Hope this helps!
djddc8y8fys9yv9uvsgosoyggysoyd
What is the momentum of a 15 kg tire rolling down a hill at 3 m/s?
5 kg. m/s
O 18 kg . m/s
O 45 kg. m/s
60 kg . m/s
Answers
Answer:
45ans
Step-by-step explanation:
p=?
m=15kg
v=3m/s
now,
p=m*v
p=15*3
p=45 ans
Answer the question marks, and tell me what sequence number 8 is.
Answers
Answer:
f[1] = 60; f[n+1] = f[n] -30f[n] = 60 -30(n-1)Step-by-step explanation:
You observe that each term is 30 less than the previous one. This is the recursive rule. It also means the sequence is arithmetic with a common difference of -30.
Recursive equation
f[1] = 60; f[n+1] = f[n] -30
__
Explicit equation
The general form of the explicit equation is ...
f(n) = f(1) +d(n -1)
Here, we have f(1) = 60 and d = -30, so your equation is ...
f(n) = 60 -30(n -1)
Find B on AC such that the ratio of AB to BC is 3:2. A (4, 2) and C (-6, - 13).
Answers
Answer:
B(-2, -7)
Step-by-step explanation:
The ratio requirement means ...
(B-A)/(C-B) = 3/2
2(B-A) = 3(C-B) . . . . cross multiply
2B -2A = 3C -3B . . . eliminate parentheses
5B = 2A +3C . . . . . . add 3B+2A
B = (2A +3C)/5 . . . . divide by 5
Now that we have a formula for B, we can fill in the given point values:
B = (2(4, 2) +3(-6, -13))/5 = (8-18, 4-39)/5 = (-10, -35)/5 = (-2, -7)
The coordinates of B are (-2, -7).
Nathaniel mowed 18 lawns in 3 hours. What was his rate of mowing in hours per lawn?
Answers
Answer:
1/6 hours for every 1 lawn:)
Step-by-step explanation:
Nathaniel mow 18 lawns in 3 hours, then the rate of mowing will be 0.16 or 1/6 hours per lawn.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the information given in the question,
Total lawns mowed by Nathaniel = 18
Total time taken by Nathaniel to mow 18 lawns = 3 hours.
Then, the time required to mow each lawn is,
= 18/3
= 1/6 hrs. Or 0.16 hrs.
To know more about arithmetic operations:
https://brainly.com/question/25277954
#SPJ2
factorise completely.
21a²+28ab
Answers
The complete factorization of 21a² + 28ab is 7a(3a + 4b)
Factorization is an arithmetic operation used in resolving an expression into factors in which when the factors are being multiplied together, the original expression can be derived. They produce factors that can be divided into the original expression.
Given that:
= 21a² + 28ab
here, we will look for a factor that if divide in both 21 and 28, there won't be any remainder. The factor is 7;
So, we have:
= 7(3a² + 4ab)
= 7a(3a + 4b)
Therefore, the complete factorization of 21a² + 28ab is 7a(3a + 4b)
Learn more about factorization here:
https://brainly.com/question/14067703?referrer=searchResults
Elaina wrote two correct variable expressions to represent the phrase “one-fourth of a number.”
Which variable expressions could Elaina have written?
Select each correct answer.
Answers
Answer:
C and D are both correct
hope that helps
here are the answer choices if anyone needs it :)
4 ÷ n
14n
n4
4n
4. In a right triangle, the hypotenuse is 3 times the length of the shorter leg. The longer leg is 5cm. Find the length of the hypotenuse.
Answers
Answer:
sguubztg mp and former president elect of couple of couple have started to download the books and Brave new home in school and Brave people to subscribe our own home
What is 6 times 6? #ifyouknowitquestion!
Answers
Answer:
36
Step-by-step explanation:
If you run a 10 km race in 43 minutes 30 seconds, what is your average time per mile? What is your average speed in mph? Hint: there are 1.61 km in a mile.
Answers
Answer:
Your Average Speed was 8.57057285 mph.
Step-by-step explanation:
4.5 = m +2.75
what is the answer?
Answers
Answer:
m=1.75
Step-by-step explanation:
4.5 = m+2.75Subtract 2.75 on both sides of the equationm = 1.75Predict how many times Max will choose a rectangular cracker if he carries out this process 200 times
Answers
Answer:
70 times.
Step-by-step explanation:
The following data were obtained from the question:
SHAPE >>>>>>>>>>>>> FREQUENCY
Oval >>>>>>>>>>>>>>> 18
Rectangle >>>>>>>>>> 14
Star >>>>>>>>>>>>>>> 8
TOTAL >>>>>>>>>>>>> 40
next, we shall determine the probability of chosing a rectangular cracker. This is illustrated below:
Event of Rectangle (nR) = 14
Sample space (S) = 40
Probability of chosing rectangle, P(R) =?
P(R) = nR/nS
P(R) = 14/40
P(R) = 7/20
Therefore, the probability of chosing a rectangular cracker is 7/20.
Thus, if the process were carried out 200 times, the probability of chosing a rectangular cracker will be:
= P(R) × 200
P(R) = 7/20
= 7/20 × 200
= 70
Therefore, max will chose a rectangular cracker 70 times.
Given that f(x)= k/x+1 + 6/x+2 and f(5)=8, Find the value of k.
Answers
Answer: [tex]k=\frac{300}{7}[/tex]
Step-by-step explanation:
Since we know that f(5)=8, we can plug in x=5 and set that equal to 8 to find k.
[tex]8=\frac{k}{5+1} +\frac{6}{5+2}[/tex] [add denominator]
[tex]8=\frac{k}{6} +\frac{6}{7}[/tex] [get common denominator]
[tex]8=\frac{7k}{42} +\frac{36}{42}[/tex] [add]
[tex]8=\frac{7k+36}{42}[/tex] [multiply both sides by 42]
[tex]336=7k+36[/tex] [subtract both sides by 36]
[tex]300=7k[/tex] [divide both sides by 7]
[tex]k=\frac{300}{7}[/tex]
Now, we know that [tex]k=\frac{300}{7}[/tex].
PLEASE HELPPP!!!
Which statement translates the equation?
8n + 15 = 3n + 60
A) Jessy and Paul all together have 8n + 3n cookies, Jessy has 15 cookies and Paul has 60 cookies. How many cookies does Jessy have?
B) Jessy and Paul all together have 15 + 60 cookies, Jessy has 8n cookies and Paul has 3n cookies. How many cookies does Jessy have?
C) Jessy and Paul all together have 3n + 60 cookies, Jessy has 8n cookies and Paul has 15 cookies. How many cookies does Jessy have?
D) Jessy and Paul all together have 3n + 60 cookies, Jessy has 8n plus 15 cookies more than and Paul. How many cookies does Jessy have?
Answers
Answer:
its c
Step-by-step explanation:
pls help math 15 points
Answers
3 x's at 1
4 x's at 1 1/4
3 x's at 1 1/2
1 x at 1 3/4
No x's at 2.
Now, let's combine all the recipes with 1 1/4
5/4 * 4 = 20 / 4 = 5 teaspoons
Mr. Weston boughtn,new microscopesn for his science classroom. each microscope cost $99.90, and he spent a total of $499.50 how many nicroscopesn,did Mr Weston buy?
Answers
Answer:
5
Step-by-step explanation:
Take the total amount spent and divide it by the cost of each microscope.
$499.50 ÷ $99.90 = 5
Answer:
5
Step-by-step explanation:
18/42=X/14 solve the proportion
Answers
Answer:
x = 6
Step-by-step explanation:
(Use cross multiplication)
252=42x
(Swap the sides)
42x=252
(Divide both sides of the equation by 42 because we want to get the x alone)
X=6
What's 2|–9| – |–2|? Question 10 options: A) 20 B) –18 C) 16 D) –20
Answers
Answer:
Step-by-step explanation:
7
2 x -9 =-18 and which the absolute value sign would make it positive 18 then 18 - the absolute value of -2. 18-2= 16
not sure if that is the answer tho
I need help on this. An answer and an explanation would be great!!
Answers
Answer:
60 & 55
Step-by-step explanation:
1. the sum of the angles 1; 2 and 3 is 180°, then
m∠1=m∠2=m∠3; ⇒m∠3=60°;
2. m∠3=m∠r; ⇒ m∠r=60°;
3. m∠α= 180-(m∠r+65°)°; ⇒ m∠α=55°
all the details are in the picture.
By how much does the outlier in the following data set increase the range of the data set?
{59, 70, 63, 46, 60, 38, 60, 51, 48, 85, 66, 55, 236}
Answers
To find the range, subtract the smallest from the biggest number.
The outlier is most commonly the biggest or smallest number. Obviously it is 236 in this situation.
To find how much the outlier increases the range, you need to find out the range WITH and WITHOUT the outlier.
Without the outlier: 39
With the outlier: 190
Then you subtract 190 - 39 because you are trying to find out how much MORE RANGE the outlier makes.
The answer is 151.
THEREFORE, The outlier increases the range by 151.
A rectangular lawn has a width of 3 1/2 yards. The length of the lawn is 2 yards. What is the area
Answers
Answer:
7 yards
Step-by-step explanation:
Multiply length and width wen finding the area so 3 1/2 time 2
Answer:
7 yards
Step-by-step explanation:
Area= LxW
3 1/2 x 2=7
A _______________________ is a conclusion after you have observed the patterns.
Answers
Answer:
Inductive Reasoning is the process of arriving at a general conclusion based on observations of specific examples. When you try to find the pattern for a list of numbers or visuals, you are using inductive reasoning.