Answers
Answer:
JUSTIFICATION↓
∠1 ≅ ∠2 (∵ Vertically-opposite angles are equal)
Step-by-step explanation:
Since ∠1 lies vertically opposite to ∠2 and vice -versa , therefore ∠1 and ∠2 are equal to each other
Related Questions
Find x. A. 22 B. 113–√ C. 222–√ D. 113√3
Answers
Answer:
x = 31.12
Step-by-step explanation:
First find the base (hypotenuse) of the smaller triangle (the isosceles triangle): Its three sides are 11, 11 and b. b can be found using the Pythagorean Theorem: b^2 = 11^2 + 11^2 = 242. Then b = √242, or b = approximately 15.56.
b (which is approximately 15.56) is the shorter leg of the large (right) triangle. The trig function needed to solve for x is the cosine:
adjacent side
cos 60 degrees = ----------------------
hypotenuse,
15.56
which becomes (1/2) = ------------
x
Solving this for x, we get: x = 2(15.56) = 31.12
Evaluate -3(8).
I know the answer is -24 but I don’t know who to work it out, can someone please help me
Answers
Answer:
-24
Step-by-step explanation:
-3 multiply 8 = -24
Because when ever you multiply a negative number with a positive number result will always be negative and 3 multiply 8 is 24.
Answer: -24
Step-by-step explanation: When you're asked to multiply
positives and negatives together, the rules are simple.
positive times a positive is a positive
positive times a negative is a negative
negative times a positive is a negative
negative times a negative is a positive
One way that I think will help you is to think
about the problem in terms of the signs.
If the signs are the same, the product will always be positive.
For example, (+3) · (+6) = +18 and (-6) · (-2) = +12.
If the signs are different, the product is negative.
So (+6) · (-4) is -24 and (-10) · (+5) is -50.
So don't get caught up on the signs.
Do the problem first, then determine if the
signs are the same or if they are different.
4. Alejandro Juarez is paid $829 every two weeks. a. What is Alejandro's yearly salary?
b. How much would Alejandro earn in one month?
Answers
Answer:
1. 21,554 PER YEAR
2. 1658 PER MONTH
Step-by-step explanation:
a.
so there are approximately 52 weeks per year
and alejandro juarez gets 829$ per 2 weeks
1..............LETS FIGURE OUT HOW MUCH HE EARNS PER WEEK
SO 829/2=414.5
so he gets 414.5 $ PER WEEK
2............LETS MULTIPLY THE AMOUNT OF MONEY PER WEEK BY THE WEEKS
SO 414.5*52=21554
SO ALEJANDRO JUAREZ EARNS 21,554$ PER YEAR
B.
SO WE ALREDY KNOWS ALEJANDRO EARNS 414.5$ PER WEEK
AND THERE ARE APPROXIMATELY 4 WEEKS IN A MONTH
SO 414.5*4=1658
SO HE EARNS 1658$ PER MONTH
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
Arjun has two denominations of coins. Two of the smaller denomination coins and three of the larger denomination coins have a value of $2. Two of the smaller denomination coins and seven of the larger denomination coins have a value of $4. What denominations of coins does Arjun have?
Answers
Answer:
Smaller coin = s = $0.25 = 25cent.
larger coin = l = $0.5 = 50 cent
Step-by-step explanation:
Given the following :
Let the two coins be s and l
Where s = smaller denomination and l = larger denomination coins
Two of the smaller denomination coins and three of the larger denomination coins have a value of $2
2s + 3l = 2 - - - - (1)
Two of the smaller denomination coins and seven of the larger denomination coins have a value of $4
2s + 7l = 4 - - - (2)
2s + 3l = 2 - - - (1)
2s + 7l = 4 - - - (2)
Subtracting both equations
3l - 7l = 2 - 4
-4l = - 2
l = 2/4
l = 0.5
Put l = 0.5 into (1)
2s + 3l = 2
2s + 3(0.5) = 2
2s + 1.5 = 2
2s = 2 - 1.5
2s = 0.5
s = 0.5 / 2
s = 0.25
Smaller coin = s = $0.25 = 25cent.
larger coin = l = $0.5 = 50 cent
88 feet/second = 60 miles/hour. How many feet per second is 1 mile/hour? (Hintdivide both sides of the equation
by the same amount.)
Round to the nearest thousandth.
One mile per hour is equivalent to
ao feet/second.
Answers
Answer:
1 miles/hour = 1.467·feet/second
Step-by-step explanation:
The given measurement unit are;
88 feet/second = 60 miles/hour
The number of feet per second that is equal to one mile per hour is found as follows;
88 feet/second = 60 miles/hour
To have a unit measure of one mile per hour , we divide both sides of the equation by 60 to get
(88 feet/second)/60 = (60 miles/hour)/60
Which gives;
(88/60 feet/second) = (60/60 miles/hour) = 1 miles/hour
22/15 × feet/second = 1 miles/hour
1.46667·feet/second = 1 miles/hour
Rounding to the nearest thousandth gives;
1.467·feet/second = 1 miles/hour
The number of feet per second that is in 1 mile per hour is 1.467·feet/second.
An ant needs to travel along a 20cm × 20cm cube to get from point A to point B. What is the shortest path he can take, and how long will it be (in cm)?
Answers
Each edge of the cube is 20cm. If it stayed on the edges it would need to walk on 3 edges for a total distance of 3 x 20 = 60 cm.
If it walked diagonally across the front face and then one edge it would travel:
Diagonal = sqrt(20^2 + 20^2) = 28.28
Total distance waling a diagonal and then an edge = 28.28 + 20 = 48.28 cm
The shortest distance would be diagonally across the front face then the edge to point B and the distance would be 48.28 cm.
The triangle is a right triangle with the right angle marked. Which equation correctly expresses The Pythagorean Theorem for this triangle?
Answers
r^2 + s^2 = t^2
The legs are length r and s. Square them and add the squares to get the square of the hypotenuse t. The hypotenuse is always opposite the 90 degree angle.
Answer:
Hey there!
The pythagorean theorem states that the square of one leg plus the square of another leg is equal to the square of the hypotenuse.
Thus, r^2+s^2=t^2.
This can be a challenging topic, and if you need a further explanation, let me know. Hope this helps :)
A)40%
B)45%
C)5%
D)10%
Answers
Answer:
A) 40%
Step-by-step explanation:
25% of yards have 6-8 trees; 10% of yards have 8-10 trees; 5% of yards have more than 10 trees. So, a total of 25% +10% +5% = 40% of yards have 6 trees or more. If a yard is randomly chosen, the probability it will have 6 or more trees is 40%.
Which expression is equivalent to the product of p+7/3 and6/p , where p0? PLZZZZ HELPPPPPPP
Answers
Answer: [tex]6+\dfrac{14}{p}[/tex] .
Step-by-step explanation:
To find : The expression is equivalent to the product of [tex]p+\dfrac73\text{ and }\dfrac6p[/tex], where p ≠0.
Product of [tex]p+\dfrac73\text{ and }\dfrac6p[/tex] = [tex](p+\dfrac73)\times\dfrac6p[/tex]
Using distributive property: [tex](b+c)a= ba+ca[/tex]
[tex](p+\dfrac73)\times\dfrac6p=p\times\dfrac6p+\dfrac73\times\dfrac6p\\\\= 6+\dfrac{7}{1}\times\dfrac2p\\\\=6+\dfrac{14}{p}[/tex]
Hence, the required expression is [tex]6+\dfrac{14}{p}[/tex] .
Answer:
B!!!
Step-by-step explanation:
Multiply then divide every number by 2 to simplify.
Eddies saving account has a balance of $140. He deposits $17 for each of the next five weeks. He withdraws $11 in the final week. He wants to use his savings to buy a game system for $210. Do he have enough money to buy the game system?
Answers
Answer:
No. he need 64 more
Step-by-step explanation:
140+85=225-11=214
17x5=85
Please help! Algebra 1.
Answers
Answer:
The correct answer is B.
Step-by-step explanation:The entrance fee ($18) and the cost per ball ($0.08B) added together should equal greater or equal to $75 in order to receive $10 off.
There are 2 Rectangles, a red one and a blue one.The Blue rectangle has the perimeter of 250 km. If the area of the red rectangle is 2,500 square kilometers, what are its dimensions?
(Both of the rectangles have the same perimeter)
Answers
Answer:a
Step-by-step explanation:
Answer:
length = 100
width = 25
Step-by-step explanation:
Let L = length of red rectangle
Let H = height of red rectangle
Equation1: L+H=125 : we know the perimeter is 250 so L+H is 125
Equation2: L*H=2,500 : we know the area is 2,500
Equation3: L=125-H : subtracted H from both sides of Equation1
Equation4: (125-H)*H=2,500 : substituted "125-H" for L into Equation2
Solve equation4:
(125-H)*H=2,500 multiple terms on left side of equation
125H - H^2 = 2,500 rearrange into standard form
H^2 - 125H + 2,500 = 0
At this point you can "brute force" the answer with the quadratic formula:
H = (125 ± SQRT(125^2 - 4*1*2500) ) / 2
H = 100 or H = 25 : actually these are L and H
You could also factor the equation:
(H - 100) * (H - 25) = 0 : gives same answe
PLEASE ANSWER QUICKLY ASAP
Answers
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope / gradient
c is the y intercept
a).y = 3x + 7
Comparing this equation with the general form above
Gradient of the line = 3
b).2y - 6x = 8
Divide both sides by 2
We have
y - 3x = 8
To make y the subject move 3x to the right side of the equation
That's
y = 3x + 8
Comparing with the general form above that's y = mx + c
The gradient = 3
c).y = 3x + 7
A(2 , y ) , B( x , 4)
Since they lie on the line we can substitute their values into the equation to find the missing points
For A(2 ,y)
We have
y = 3(2) + 7
y = 6 + 7
y = 13For B( x , 4)
4 = 3x + 7
3x = 4 - 7
3x = - 3
Divide both sides by 3
x = - 1Hope this helps you
What is sin A?.......................
Answers
Answer:
0.4706
Step-by-step explanation:
Sin= O/H
opposite= 8
hypotnuse= 17
8÷17 = 0.4706
Answer:
Your required answer is option A.
Step-by-step explanation:
Hey, there!!!
The given figure is Triangle ABC.
where, AB= 17.
BC= 8
AC = 15.
As it is a Right angled triangle, taking angle theta as a refrence angle.
we get,
h = 17
p= 8
b= 15
we know that,
ratio of sin = p/h
or, sin theta = 8/17
Therefore, the value of x is 0.4705882353.
Hope it helps...
X=3816371/(27×63) solve for x
Answers
Answer:
X = 14,700
Step-by-step explanation:
you can use a calculator to get the x.
X=3816371/(27×63)
The mean number of people per day visiting an art show in July was 110. If
20 more people each day visited the museum in August, what was the mean
number of people per day visiting in August?
A. 130
B. 620
C. 640
D. 110
Answers
Answer:
I believe the answer is A. 130
Answer:
A 130
Step-by-step explanation:
What is the 8th term of the sequence? −16, 24, −36, 54, ... −729/8 2187/8 −2187/8 729/8
Answers
Answer:
The answer is
[tex] \frac{2187}{8} [/tex]Step-by-step explanation:
The sequence above is a geometric sequence
For an nth term in a geometric sequence
[tex]A(n) = a ({r})^{n - 1} [/tex]
where n is the number of terms
r is the common ratio
a is the first term
From the question
a = - 16
To find the common ratio divide the previous term by the next term
That's
r = 24/-16 = -3/2 or -36/24 = - 3/2
Since we are finding the 8th term
n = 8
Substitute the values into the above formula
That's
[tex]A(8) = - 16 ({ - \frac{3}{2} })^{8 - 1} [/tex][tex]A(8) = - 16 ({ - \frac{3}{2} })^{7} [/tex][tex]A(8) = - 16( - \frac{2187}{128} )[/tex]We have the final answer as
[tex]A(8) = \frac{2187}{8} [/tex]Hope this helps you
Please answer this question now
Answers
Answer:
Arc BC = 117°
Step-by-step explanation:
Angle D is an inscribed angle that intercepts arc ABC. According to the Inscribed angle theorem of a circle, m<D = ½ of arc ABC.
Thus,
104° = ½(AB + BC)
104° = ½(91° + BC)
Multiply both sides by 2
104*2 = 91 + BC
208 = 91 + BC
Subtract both sides by 91
208 - 91 = BC
117 = BC
Arc BC = 117°
A debt of $12,000 with interest at 5% compounded monthly is to be repaid by equal payments at the end of each year for three years and nine months. What is the term of repayment? None 12 months 3.9 years 3.75 years
Answers
Answer:
3.75 years
Step-by-step explanation:
If the debt is to be paid in 3 years, 9 months, then the term of the loan is ...
3 9/12 = 3 3/4 = 3.75 . . . years
Match each statement with its corresponding value for the system below:
y = -2(3)x and y = 9x - 2
1. The number of points of intersection.
2. The x-coordinate of the solution.
3. The y-coordinate of the solution.
Answers
Answer:
1. 1 point
2. The x-coordinate of the solution = 2/17
3. The y-coordinate of the solution = -16/17
Step-by-step explanation:
Given that the equation is of the form;
y = -2³×x and y = 9·x - 2, we have;
y = -8·x and y = 9·x - 2
1. Given that the two lines are straight lines, the number of points of intersection is one.
2. The x-coordinate of the solution
To find a solution to the system of equations, we equate both expression of the functions and solve for the independent variable x as follows;
-8·x = 9·x - 2
-8·x - 9·x= - 2
-17·x = -2
x = 2/17
The x-coordinate of the solution = 2/17
3. The y-coordinate of the solution
y = 9·x - 2 = 9×2/17 - 2 = -16/17
y = -16/17
The y-coordinate of the solution = -16/17.
what the answer???
11x10-12/3
Answers
Explanation:
11 x 10 - 12/3
= 110 - 4
= 106
Answer:
106
Step-by-step explanation:
12 divided by three subtracted by 11 Multiplied by 10
11 times 10 is 110
12 divided by 3 is 4
110-4= 106
Your answer to 11 x 10 - 12/3=106
Which of the following is a point-slope equation of a line that passes through the points (-1,4) and (8,2)
Answers
Answer:
y - 2 = -2/9( x - 8)
Step-by-step explanation:
hope this helps
let me know if u need more help
Answer:
y - 2 = -2/9(x - 8) or y - 4 = -2/9(x + 1)
Step-by-step explanation:
find slope first
(2 - 4)/(8 - -1) = -2/9
y - 2 = -2/9(x - 8)
determine if the following set of ordered pairs represents a quadratic function explain (5,7),(7,11),(9,14),(11,18)
Answers
Answer:the pairs are not a quadratic eqation
Step-by-step explanation:
The differences between the differences of the y value are not consistent
The set of ordered pairs (5,7),(7,11),(9,14),(11,18) does not represents a quadratic function
What is a function?A relation is a function if it has only One y-value for each x-value.
Given,
The set of ordered pairs
(5,7),(7,11),(9,14),(11,18)
We have to determine whether the (5,7),(7,11),(9,14),(11,18) is quadratic function or not.
Start by representing the function as an x-y table
x:- 5 || 7 || 9 || 11
y:- 7 || 11 || 14 || 18
The difference between the y values is not same
11-7=4
14-11=3
18-14=4
For the function to be quadratic, the above difference must be the same and since they are not, then the function does not represent a quadratic function.
Hence, the set of ordered pairs (5,7),(7,11),(9,14),(11,18) does not represents a quadratic function
To learn more on Functions click:
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If the geometric mean of a and 15 is 9√15, find the value of a.
Answers
Explanation:
Geometric mean: sqrt a • b
sqrt a • 15 = 9 sqrt 15
Sqrt 15a = 9 sqrt 15
(Sqrt 15a)^2 = (9 sqrt 15)^2
15a = 81 x 15
a = 81
Please Explain step-by-step
An algebra class contains 30 students. Forty
percent of the students in the class are girls. How
many boys are in the class?
Answers
Answer:
algebra es muy buena materia
Given: -1/2x > 6. Choose the solution set. A {x | x R, x > -12} B{x | x R, x > -3} C{x | x R, x < -3}D {x | x R, x < -12}
Answers
Answer:
D
Step-by-step explanation:
-1/2x > 6 (you have to flip the sign when you multiply or divide by negative
x < -12
E
What is the value of x in the equation 3x.. by y 18, when y27
Answers
Answer:
x = 15
Step-by-step explanation:
We need to find the value of x in the equation 3x – y = 18 when y = 27.
To find the value of x, put y = 27 in the above equation.
So,
3x - 27 = 18
3x = 45
x = 15
So, the value of x is 15.
describe the type of correlation between two variables on a graph
Answers
Answer:
We often see patterns or relationships in scatterplots. When the y variable tends to increase as the x variable increases, we say there is a positive correlation between the variables. When the y variable tends to decrease as the x variable increases, we say there is a negative correlation between the variables.
Step-by-step explanation:
plz mark as brainlist
The correlation between two variables on a graph gives the relationship between those variables. Depending on the nature of these variables plotted on the graphs, the correlation is named.
What is meant by correlation?In a scatterplot, the data points of an individual with two distinct variables are related. This relationship is called 'correlation'. The relationship between any two variables plotted on any graph is named to be a correlation.Depending on the type of relation between the variables, the correlation is categorized into three major types. They are
i) Positively correlation
ii) Negative correlation
iii) No correlation
What is meant by positively correlated?The variables plotted on a graph are said to be positively correlated, if both the variables increase with respect to each other.E.g.: In a graph, if the values of y increase as the value of x increases, then they are said to be positively correlated.What is meant by negatively correlated?The variables plotted on a graph are said to be negatively correlated, if one of the variables increases, the other variable get decreases.E.g.: In a graph if the values of y decrease as the value of x increases, then they are said to be negatively correlated.What is meant by no correlation?The data points for the two variables are plotted randomly on the graph. If there is no relation between any two points of those two variables, then such a relation is said to be 'no correlation'.E.g.: In a graph, if the values of x and y are randomly located, then there is no correlation between them.Learn more about correlation on a graph here:
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Based on the graph what are the solutions to ax^2 + bx+c=0 Select all that apply
A. X=-2
B. X=10
C. X=5
D. X=8
Answers
Answer:
x=-2 and x = 5
Step-by-step explanation:
The solutions to the equation are where the graph crosses the x axis
We can see that the graph crosses at x=-2 and x = 5
Answer:
x = -2
x = 5
Step-by-step explanation:
The answer is found when the graph crosses the x-axis
Hope this helps :D
All of Ralph's ranch land was divided equally among his six children whose daughter land portion of the ranch land was divided among her four children how much of Roslyn was in Inherited by 1 of Lynn's children
Answers
Complete question:
All of Ralph's ranch land was divided equally among his 6 children. His daughter Lynn's portion of the ranch land was divided equally among her 4 children. How much of Ralph's ranch land was inherited by 1 of Lynn's children?
Answer:
1 / 24
Step-by-step explanation:
Number of Ralph's children = 6
Number of Lynn's children = 4
If Ralph's land were divided equally among his six children, the fraction each child gets equals
Proportion of land / number of children
= 1 / 6
Therefore, Lynn who is also Ralph's daughter gets 1/6 portion.
If 1/6 is shared equally between her four children, then ;
Her portion ÷ 4
(1/6) ÷ 4
(1/6) × (4/1)
= 1/ 24
Each of Lynn's children gets 1 / 24