Answers
∠1 + ∠3 + 90° = 180°
∠1 + ∠3 = 90°
∠3 = ∠4 (vertically opposite angles)
∠1 + ∠4 = 90°
Therefore, the answer is ∠1 + ∠4
Related Questions
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6
8
A
х
D
с
x = [?]
Answers
9514 1404 393
Answer:
3
Step-by-step explanation:
The angle bisector BD makes left-side segments proportional to right-side segments. We see that CD is half of CB, so we expect the same proportion between AD and AB.
AD/AB = CD/CB
x/6 = 4/8 = 1/2 . . . . fill in the values, simplify the fraction
x = 6(1/2) . . . . . . . . multiply by 6
x = 3
Leah read 1/2 of a book in the morning, and she read some at night. By the end of the day, she still had 2/5 of The book to read left. How much of the book did Leah read at night?
Answers
Answer:
1/10
Step-by-step explanation:
First, you have to get common denominators, so we will use 10. She read 5/10 in the morning, so that is 5/10 of the book left. 2/5 = 4/10 left, so if you added those two numbers up, you only get 9/10. So this means that she read 1/10 at night. I hope this helps!
Triangle M N O is shown. Angle O N M is a right angle. Angle N O M is 40 degrees and angle L M N is 50 degrees.
Given right triangle MNO, which represents the value of cos(M)?
StartFraction O N Over M N EndFraction
StartFraction M N Over M O EndFraction
StartFraction O N Over M O EndFraction
StartFraction M N Over O N EndFraction
Answers
Given:
In triangle MNO, angle ONM is a right angle. Angle NOM is 40 degrees and angle LMN is 50 degrees.
To find:
The value of cos(M).
Solution:
In a right angle triangle,
[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]
Draw a diagram using the given information.
In triangle MNO, angle ONM is a right angle so its opposite side MO is the hypotenuse. For vertex M, MN is the base of the triangle. So,
[tex]\cos (M)=\dfrac{MN}{MO}[/tex]
Therefore, the correct option is B.
Answer:
it is b
Step-by-step explanation:
Use the following bond listing for Pacific Bell to answer the following:
A 5-column table with 1 row. Column 1 is labeled Bonds with entry PacBell 6 and StartFraction 5 Over 8 EndFraction 34. Column 2 is labeled current yield with entry 6.55. Column 3 is labeled Volume with entry 5. Column 4 is labeled Close with entry 99 and one-fourth. Column 5 is labeled net change with entry + StartFraction 1 Over 8 EndFraction.
What was the closing price of the bond? What was the dollar amount?
a. 106 5/8; $966
b. 6 5/8; $6625
c. 99 1/4; $993.45
d. 99 1/4; $992.50
Answers
Answer:
b.
$66.25
Step-by-step explanation:
just did the test
An employee at a gift shop earns $72.00 for working 9 hours. At this hourly rate, what should the employee earn for a 40-hour work week?
Answers
Answer:
The employee would earn $320 for a 40-hour work week.
Step-by-step explanation:
Given
Total Earning amount = $72.00Total Time taken = 9 hoursTo determine
We have to find the employee's earning earn for a 40-hour work week.
First Step
Determining the hourly rate
In order to determine the hourly rate, the first step we need to do is to divide the earning amount by the total number of hours.
Hourly rate = Total Earning amount / Total Time taken
= $72.00 / 9 hours
= $8.00 per hour
Second Step
Determining the employee's earning earn for a 40-hour work week.
As we have already determined that employee is earning $8.00 per hour.
i.e.
Hourly rate = $8.00 per hourIn order to determine the employee's earning for a 40-hour work week, all we need is to multiply the hourly rate i.e. 8 with 40.
Thus,
Earning for 40-hour work week = Hourly rate × 40
= 8.00 × 40
= $320
Therefore, the employee would earn $320 for a 40-hour work week.
let x represent one number and let y represent the other number. use the given conditions to write a system of equations. solve the system and find the numbers. three times a first number decreased by a second number is 22. the first number increased by twice the second number is 12.
Answers
9514 1404 393
Answer:
(x, y) = (8, 2)
Step-by-step explanation:
The relevant equations are ...
3x -y = 22
x +2y = 12
__
We can eliminate y by adding twice the first equation to the second.
2(3x -y) +(x +2y) = 2(22) +(12)
7x = 56
x = 8
Substituting into the first equation gives ...
3(8) -y = 22
y = 24 -22 = 2
The first number is 8; the second number is 2.
amy borrowed money from the lending company at 6% interest if she paid an interest of php450.00 after 19months how much money did she borrow
Answers
Answer:
She borrowed php4737.00.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex]
6% interest:
This means that [tex]I = 0.06[/tex]
19 months:
An year has 12 months, so [tex]t = \frac{19}{12} = 1.5833[/tex]
She paid an interest of php 450. How much money did she borrow
This is P when [tex]E = 450[/tex]. So
[tex]E = P*I*t[/tex]
[tex]450 = P*0.06*1.5833[/tex]
[tex]P = \frac{450}{0.06*1.5833}[/tex]
[tex]P = 4737[/tex]
She borrowed php4737.00.
A truck travels from a factory to a gas station in 2 minutes. It stops at the gas station for 5 minutes. The truck then returns to the factory in 3 minutes. Which graph best represents the distance in milies of the truck from the factory after a certain
amount of time. x. in minutes?
Answers
Answer:
x=16
Step-by-step explanation:
Which statement below is always true?
The product of a number and zero is equal to that number.The product of a number and zero is equal to that number. ,
The product of two negative numbers is negative.The product of two negative numbers is negative. ,
The product of a positive number and a negative number is positive.The product of a positive number and a negative number is positive. ,
The product of two positive numbers is positive.
Answers
Answer:
the product of two positive numbers is positive.
Step-by-step explanation:
the product of a number and zero will always be zero, the product of two negative numbers is always positive, and the product of a positive number and a negative number is always going to be negative thereforew the only correct answer is the last option
Pls help im failing I’ll brainlest for the right answer
Answers
Answer:
65 miles per hour
Step-by-step explanation:
Name at least two independent variables that could result in a change in the price of a basket of grape fruits
Answers
We have that theses Can affect the price if grape indirectly
Salaries WagesEnvironmentPeopleFrom the question we are told
Name at least two independent variables that could result in a change in the price of a basket of grape fruits
Independent variablesGenerally Independent variables are variables that are not dependent on the price of grape fruits directly
Therefore
We have that
Salaries WagesEnvironmentPeople Can affect the price if grape indirectly
For more information on Independent variables visit
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i need help asap do tonight
Answers
Answer:
The first one..
Step-by-step explanation:
Answer:
The top one
Step-by-step explanation:
If you minus 19-10 you get 9 then if you divide 9 by 3 you get 3 which means that each soda costs 3 bucks
Bowler world charges $5.00 to rent shoes and $1.10 per game. Lucky Spares charges $3.00 dollars for shoes and $1.50 per game
Answers
Answer:
6.10 for 1 and 4.50 . for 2
Step-by-step explanation:
Determine if the described set is a subspace. Assume a, b, and c are real numbers. The subset of R3 consisting of vectors of the form a b c , where abc
Answers
This question is incomplete, the complete question is;
Determine if the described set is a subspace. Assume a, b, and c are real numbers.
The subset of R³ consisting of vectors of the form [tex]\left[\begin{array}{ccc}a\\b\\c\end{array}\right][/tex] , where abc = 0
The set is a subspaceThe set is not a subspace
Answer:
Therefore; The set is not a subspace
Step-by-step explanation:
Given the data the question;
the subset R³;
S = { [tex]\left[\begin{array}{ccc}a\\b\\c\end{array}\right][/tex] , where abc = 0 }
we know that a subset of R³ is a subspace if it stratifies the following properties;
it contains additive identityit is closed under additionit is closed under scales multiplicationLooking at the properties, we can say that it is not a subspace
As;
u = [tex]\left[\begin{array}{ccc}1\\1\\0\end{array}\right][/tex] ∈ S and v = [tex]\left[\begin{array}{ccc}0\\1\\1\end{array}\right][/tex] ∈ S
As 1×1×0=0 0×1×1=0
But u+v = [tex]\left[\begin{array}{ccc}1+0\\1+1\\0+1\end{array}\right] =[/tex] [tex]\left[\begin{array}{ccc}1\\2\\1\end{array}\right][/tex] ∉ S as 1×2×1 ≠ 0
Hence, it is not closed under addition.
Therefore; The set is not a subspace
2(4+7) as distributive property?
Answers
Answer:
2(4+7) = 2×4 + 2×7 = 8 + 14 = 22
Step-by-step explanation:
Question 1 of 5
Table A
Table B
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у
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y
1
3
3
1
2
6
6
2
3
9
9
3
Graph A
Graph B
10
12
11
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8 9 10 11 12
1 2 3 4 5 6 7 8 9 10 11 12
Which table and graph represent the equation y = 3X?
Answers
The table and graph that represents the equation y = 3x are:
Table A
Graph B.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
y = 3x
This means,
For x = 0, 1, 2, 3,
y = 0, 3, 6, 9
Now,
The coordinates on the graph of the equation y = 3x will have:
(0, 0), (1, 3), (2, 6), and (3, 9)
We see that,
Graph A has the coordinates:
(0,3).
This is not possible.
And,
Table B has y = 1 when x = 3.
This is not possible.
Thus,
The table and graph that represents the equation y = 3x are table A and graph B.
Learn more about equations here:
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A teacher evenly distributes 7 packages of markers to 3 groups of students.
Which two of the following represents how many packages of marker each
group receives?
A. 7/3
B. 3/7
C. 2 ⅓
D. 2.1
E. 21
Answers
Answer:
Step-by-step explanation:
2 1/3
The length of the longer leg of a 30-60-90 triangle is 18. What is the length of the short leg? What is the length of the
hypotenuse?
Answers
The length of the short leg will be 10.4. And the length of the hypotenuse will be 20.8.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The length of the longer leg of a 30-60-90 triangle is 18.
Then the length of the short leg will be
tan 30° = x / 18
x = 10.4
Then the length of the hypotenuse will be
sin 30° = 10.4 / h
h = 20.8
More about the right-angle triangle link is given below.
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3 is an element in the domain of the function g(x)= -2x - 4 . What is the corresponding element in the range?
Answers
Hello! :)
[tex]\large\boxed{g(3) = -10}[/tex]
If 3 is apart of the domain, then x = 3.
The range is equivalent to g(x), or the y-value. To solve for this when x = 3, we must plug 3 into the equation:
g(x) = -2x - 4
g(3) = -2(3) - 4
Simplify:
g(3) = -6 - 4
g(3) = -10
please help me
I need help bad
Answers
Answer:
C)
Step-by-step explanation:
I hope this helps :)
Assume that y varies inversely
with x. Ify = 7 when x = 2/3, find
y when x = 7/3.
Y=?
Answers
Answer:
y = 2
Step-by-step explanation:
y varies inversely with x setup is:
y = k/x
7 = [tex]\frac{k}{2/3}[/tex] (find 'k')
k = 7/1 · 2/3
k = 14/3
use what you know about 'k' and 'x' to solve for 'y'
y = 14/3 ÷ 7/3 (remember to multiply by the reciprocal when dividing fractions)
y = 14/3 · 3/7
y = 2
The Career Placement department at a university wants to administer a survey to determine student awareness of the resources offered. The department expects that student awareness of the Career Placement resources will vary significantly depending on how many years a student has attended the university, so they plan to randomly select 30 freshmen, 30 sophomore, 30 juniors, and 30 seniors. This type of sample can be best described as a: *
Answers
Answer:
This type of sample can be best described as a stratified sample
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this question:
The students are divided into groups, according to how many years they have attended the university. Then, from each group, some(30) students are surveyed. This is an example of Statrified Sampling
Which does not describe slope? I will mark Brainly plz help fast
Answers
Answer:
Initial value
Step-by-step explanation:
Initial value never changes, whatsoever.
Slope is either a constant increase or decrease.
Unit rate, rate of change, and "per" all describe a rate at a certain point which is always fluctuating.
Answer:
Initial value
Step-by-step explanation:
The initial value is the y-intercept.
Simplify 2a + 4b + 3a – b
Answers
Step-by-step explanation:
2a+4b+3a-b
2a+3a+4b-b
5a+3b
Answer:
5a +3b
Step-by-step explanation:
u need to find the like terms
2a +3a and add them = 5a
+4b -b which = 3b
then combine the awnser to make
5a + 3b
hope this help comment if not
1. How do you find the slope in a graph?
Answers
2. Determine the difference in y-coordinates of these two points (rise).
3. Determine the difference in x-coordinates for these two points (run).
4. Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
Submit the worksheet with your constructions to your teacher to be graded. Click on the SAVE button to indicate that the assignment is complete.
Answers
Answer:
mom?
Step-by-step explanation:
Simplify The expression
-5/8 (-3/8 - 1/4)
Answers
Answer:
25/64
Step-by-step explanation:
do what's inside parentheses first
-3/8 - 2/8 = -5/8
-5/8(-5/8) = 25/64
2
Simplify the expression by combining like terms.
2x + 4y + 6 + 2y - 5+ 3x
<
Answers
Answer:
5x + 6y + 1
Step-by-step explanation:
Find x. (More info in the picture)
Answers
Answer:
The answer is 3.
Step-by-step explanation:
Yesterday Ali caught 12 bugs. Today he caught 17 bugs. How many fewer bugs did Ali catch yesterday than today?
Answers
Answer:
5 bugs
Step-by-step explanation:
You would use subtraction to find the difference: 17 - 12 = 5