Answers
The angle ∠14 and angle ∠16 are the supplementary angles. Then the measure of angle ∠16 will be 188° – 5x.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
The line l and the line m are parallel to each other.
The angle ∠7 = 4x – 3 and angle ∠14 = 5x – 8.
Then the measure of angle ∠16 will be
The angle ∠14 and angle ∠16 are the supplementary angles. Then we have
∠14 + ∠16 = 180°
5x – 8 + ∠16 = 180°
∠16 = 180° – 5x + 8
∠16 = 188° – 5x
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Related Questions
simplify:
5 whole, 3 out of 10 + 2 whole, 1 out of 5.
Answers
Fractions are written as the ratio of two integers. The sum of 5 3/10 and 2 1/5 is 7 1/2
Sum of fractionsFractions are written as the ratio of two integers. Given the following expression
5 3/10 + 2 1/5
convert the mixed into improper fraction
53/10 + 11/5
Find the LCM
53+22/10
75/10
7.5
Hence the sum of 5 3/10 and 2 1/5 is 7 1/2
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Each treasure hunt team will have 5 people. So far 42 people have signed up. How many more people are needed to make every team equal? How many teams will there be?
Answers
Answer:
1) 3 more people
2) 9 teams
Step-by-step explanation:
The divisibility rule for 5 is that it must end in 5 and 0
so the next one is 45, so 3 more people
----------------------- ----------------------- ----------------------- -----------------------
45/5=9 teams
Find the slope of the line containing the points (5, -1) and (-8, -4).
A.
B.
13
D.
5/3
OC. 13
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Consider the relation given by the graph shown below.
a) Is the relation a function? Why or why not?
b) Determine the domain and range of this graph.
Answers
Find the best fit line for the scatter plot.
Answers
admission to a carnival is $4 for children and $6 for adults. what is the ratio of the number of children to the number of adults in this group
Answers
The ratio of the number of children to the number of adults in this group is 2 : 3
How to determine the ratio?The admission is given as:
Children=4
Adult = 6
Express as ratio
Ratio = Children : Adult
This gives
Children : Adult = 4 : 6
Simplify
Children : Adult = 2 : 3
Hence, the ratio of the number of children to the number of adults in this group is 2 : 3
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If EF = 2x – 12, FG = 3x – 15, and EG = 23, find the values of x, EF, and FG.
Answers
The values of x, EF, and FG from the line segment are 10, 8 and 15 respectively.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
EG = EF + FG (segment addition postulate)
Hence:
23 = (2x - 12) + (3x - 15)
x = 10
EF = 2(10) - 12 = 8
FG = 3(10) - 15 = 15
The values of x, EF, and FG from the line segment are 10, 8 and 15 respectively.
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which of the following of these numbers represents the three sides of a right triangle?
Answers
Answer:
3,4 and 5 is the ratio between the sides of a right triangle, therefore also the multiples (6-8-10 .... 9-12-15 etc.)
Step-by-step explanation:
3,4 and 5 is the ratio between the sides of a right triangle, therefore also the multiples (6-8-10 .... 9-12-15 etc.)
What is the ratio of the two values and what new value do they produce?
$280 in 7m
(Write Explaination)
Answers
The required ratio is give by $40/m, 4 miles/min, 30 mile/liter. .
Let, just assume a vehicle is given an economy of $280 of 7m.
What is the Ratio?
The ratio can be defined as the comparison of the fraction of one quantity towards others. E.g.- water in milk.
Now,
The ratio can be given as for economy = 280/7
= $40/m
here for new values,
suppose the vehicle travel for 40miles in 10 mins
ratio = 40/10= 4 miles/min
and vehicle consumes 2 liter fuel on 60 miles of distance ratio can be given as
ratio = 60/2 = 30 mile/liter.
Thus the required ratios can be given as $40/m, 4 miles/min, 30 mile/liter.
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Point O is the centroid of triangle ABC, BY = 3.3, CY= 3, Find BO.
Answers
Applying the centroid theorem, the length of BO is: A. 2.2.
What is the Centroid Theorem?Based on the centroid theorem, the length of BO equals two third of the length of BY.
That is:
BO = 2/3(BY)
Plug in the values
BO = 2/3(3.3)
BO = 2.2.
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Which point corresponds to the real zero of the graph of y = log3 (x+2) - 1?
O (-1,-1)
O (1,0)
O (-1,0)
O (0,-.369)
E
Answers
Answer:
(1, 0 )
Step-by-step explanation:
using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex] , then
y = [tex]log_{3}[/tex] (x + 2) - 1
to find the zero let y = 0 , that is
[tex]log_{3}[/tex] (x + 2) - 1 = 0 ( add 1 to both sides )
[tex]log_{3}[/tex] (x + 2) = 1 , then
x + 2 = [tex]3^{1}[/tex] = 3 ( subtract 2 from both sides )
x = 1
the zero is (1, 0 )
The figure below is painted on the street. It consists of a rectangle and an isosceles triangle.
Answers
Answer:
62 cmStep-by-step explanation:
add all sides, the top is the same as the bottom, (the side of 6 must be counted only once).
[2 * ( 18 + 3 + 7)] + 6 =
(2 * 28) + 6 =
56 + 6 =
62
62 m is the parameter of the given figure.
What is Perimeter?The perimeter of a two-dimensional form is the space surrounding it. It represents the total length of the shape's sides. The units used to measure the sides of the form, such as meters, centimeters, inches, or feet, determine the units used to measure the perimeter.
In a statistical context, parameters often refer to the unknown values of a probability distribution. In this case, parameters can be estimated using statistical methods such as maximum likelihood estimation or Bayesian inference.
Add all sides, the top is the same as the bottom, (the side of 6 must be counted only once).
[2 * ( 18 + 3 + 7)] + 6 =
(2 * 28) + 6 =
56 + 6 =
62
The perimeter of the given arrow is 62 m.
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dans dog walking job pays $15 per hour. his job as a car-wash attendant pays $400 each week. dan wants to know how many hours he needs to spend walking dogs to earn more than $520 in a week. which three inequalities can model this situation? select all the correct answers. x(15+400)>520 520<400+15x 15x>120 15x+520>400 520<15x+400x 15x+400>520
Answers
Answer: 400 520<15x+400x 15x+400>520
Step-by-step explanation:
5. Tom travels 60 miles per hour going to a neighboring city and 50 miles per hour coming back using the same road. He drove a total of 5 hours away and back. What is the distance from Tom's house to the city he visited?
Answers
I find this question kinda hard
Answers
Answer:
Step-by-step explanation:
In the following exercises, multiply the binomials. Use any method.
252. (3r − 8)(11r + 1)
Answers
Answer:
Hence the expression [tex]$$(3r-8)(11r+1)=33r^2-85r-8$$[/tex].
Step-by-step explanation:
Explanation
The given expression is (3 r-8)(11 r+1).We have to multiply the given expression.Multiply the (3 r-8) by 1 , multiply the (3 r-8) by 11r then add like terms.[tex]$$\frac{\begin{matrix}{} & {} & 3r & - & 8 \\ \times & {} & 11r & + & 1 \\ \end{matrix}}[/tex]
___________
[tex]{\frac{\begin{matrix}{} & {} & 3r & - & 8 \\ 33{{r}^2} & - & 88r & {} & {} \\ \end{matrix}}{\begin{matrix}33{{r}^2} & - & 85r & - & 8 \\ \end{matrix}}}$$[/tex]
Solve the system of equations 2x-y=132x−y=13 and 6x+5y=-336x+5y=−33 by combining the equations.
Answers
Answer: (2;-9).
Step-by-step explanation:
[tex]\left \{ {{2x-y=13\ |*(-3)} \atop {6x+5y=-33}} \right. \ \ \ \ \left \{ {{-6x+3y=-39} \atop {6x+5y=-33}} \right. .\\Summing\ up\ these\ equations:\\8y=-72\ |:8\\y=-9.\\2x-(-9)=13\\2x+9=13\\2x=4\ |:2\\x=2.[/tex]
He is offered a discount for the first five months. after this period, his rate increases by $8.50 per month. his total cost at the end of the year is $245.50. paul wrote the following equation represent his plan. 5x + 7(x + 8.50) = 245.50 part a: how much, in total, will paul pay during the five discounted months of his plan? (1 point
Answers
The first five months Paul paid and in the next seven months he paid 24.
What is a Discount ?Discounts are defined as lowered prices or the sale of an item for less than it would typically cost. The fundamental formula for calculating a discount is to multiply the original price by the given percentage rate in decimal form. We must deduct the discount from the original price to determine the item's sale price. A discount is an amount that is subtracted from the regular price of an item.
Paul represent his plan in the form of equation:
[tex]5 x+7(x+8.50)=245.50[/tex]
Where x is an amount for the first [tex]5[/tex] months that is paid by Paul after the discount and [tex](x+8.50)[/tex] is an amount for the next [tex]7[/tex] month after discount.
[tex]&\Rightarrow \quad 5 x+7 x+59.50=245.50 \\&\Rightarrow \quad 12 x=186 \\&\Rightarrow \quad x=\frac{186}{12} \\&\Rightarrow \quad x=15.50\end{aligned}[/tex]
For the next 7 month:
[tex](x+8.50)=(15.50+8.50)=\$ 24[/tex]
Therefore, The first [tex]5[/tex] months Paul paid $ 15.50, and in the next [tex]7[/tex] months he paid $ 24.
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Marlon jogs two miles to the park in 25 minutes, turns around, and takes another 55 minutes to walk the same path back to his house. What is his average speed for the round-trip?
Answers
Answer:
3 mph
Step-by-step explanation:
So the average speed is simply: [tex]\frac{distance}{time}[/tex]. In case, the total time is 25 minutes + 55 minutes which is a total of 80 minutes, or 1.33 hours. The total distance traveled is two miles + two miles, since he jogged two miles to the park, and then he turns around and walks the same path. So in total he traveled 4 miles. Plugging this in to the formula gives you the equation: [tex]\overline{v}=\frac{4 \text{ miles}}{\frac{4}{3}\text {hours}}=\frac{4\text{ miles}}{1}*\frac{3}{4}\text{ hours} = 3mph[/tex]
Which is the graph of f(x) = √x?
Answers
The graph is shown in the attached image.
solve:
7(2)^x=224
( help pls )
Answers
Answer:
5
Step-by-step explanation:
Original equation:
[tex]7(2)^x=224[/tex]
Divide both sides by 7
[tex]2^x=32[/tex]
Rewrite in log
[tex]log_232=x[/tex]
You can do mental math to realize this equals 5, or plug this into your calculate (if it allows you to set the base), but if you can't do either, you can use the change of base formula:
[tex]log_ba=\frac{log (a)}{log(b)}[/tex]
You get:
[tex]log_232=\frac{log(32)}{log(2)}[/tex]
When you calculate using a calculator you should get 5
Answer: x = 5
Step-by-step explanation:
[tex]7(2)^x=224[/tex]
start by dividing 7 from both sides
[tex]\frac{7(2)^x}{7} =\frac{224}{7}[/tex]
[tex]2^x=32[/tex]
take the log of both sides
[tex]log(2^x) = log(32)[/tex]
move the x to the left of the log
[tex]xlog(2) = log(32)[/tex]
divide both sides by log(2)
[tex]x=\frac{log(32)}{log(2)}[/tex]
use change-of-base formula
[tex]\frac{log(a)}{log(b)} =logx_{b} (a)[/tex]
[tex]x = log_{2} (32)[/tex]
since [tex]2^5 = 32[/tex], x = 5
Hope this helped :)Which expression is equivalent to (tangent (startfraction theta over 2 endfraction) ) (negative sine theta)?
Answers
The given expression is equivalent to -1 + cos θ. Option B
What is trigonometry?
Trigonometry can be seen as the branch of mathematics that deals with the relations of the sides and angles of triangles and with the functions of any angles.
The problem deduced from the information is;
[tex]-tan\frac{\alpha }{2} ( -5 sin\alpha)[/tex]
It is simplified thus
[tex]\frac{\frac{sin\alpha }{2} }{\frac{cos \alpha }{2} }[/tex] × [tex](- 2 sin\frac{\alpha }{2} * cos \frac{\alpha }{2} )[/tex]
We then have
[tex]-1 + cos \alpha[/tex]
Therefore, the given expression is equivalent to -1 + cos θ. Option B
The complete question is;
Which expression is equivalent to (tangent (StartFraction theta Over 2 EndFraction) ) (negative sine theta)?
– 1 – cos(ϴ)
– 1 + cos(ϴ)
1 + cos(ϴ)
1 – cos(ϴ)
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OF
Fo
T
The first equation from the previous system of
equations is graphed. Graph the second equation to
find the solution of the system of equations
VH-2x+4
13-1
What is the solution to the system?
Answers
Answer:
(3,-2)
Step-by-step explanation:
See attached image.
Which topic is this and how to solve ?
Answers
Answer:
Step-by-step explanation:
to be honest, I have no idea what topic this is anymore but to solve it plug in 5 for f(x) and then use -3 for x and then simplify for B.
g Using the latest observation in a sequence of data to forecast the next period is an associative forecast. a regression analysis. a naive forecast. a moving average forecast. an exponentially smoothed forecast.
Answers
Using the latest observation in a sequence of data to forecast the next period is a naïve forecast. Option C
What is a naïve forecast?
A naïve forecast is a forecasting technique in which the last sequence of data are used for the next period's forecast without predictions or adjusting the factors that could affect it.
Forecasts that are produced using a naïve approach are equivalent to the final observed value gotten.
Thus, using the latest observation in a sequence of data to forecast the next period is a naïve forecast
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To prove that ΔAED ˜ ΔACB by SAS, Jose shows that StartFraction A E Over A C EndFraction = StartFraction A D Over A B EndFraction.
Triangle A E D is shown. Line segment B C is drawn from side A D to A E to form triangle A C B.
Jose also has to state that
Answers
The other equality which must be stated by Jose is that angles BAC and BAE are congruent and their measures are equal.
What other congruence statements must Jose state?It follows from the task content that Jose is trying to prove the congruence of both triangles by means of the Side-Angle-Side congruence theorem.
It therefore follows that since, Jose has identified that the ratio of corresponding sides are equal as indicated in the task content, the equality which Jose has to state is the angle congruence equality.
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Answer:a. angle A= angle A
Step-by-step explanation: i took edg
1/2 of the women in the Spring Garden Club are over 60 years old. 1/4 of the remainder are under 40. What part of the membership is between 40 and 60 years old?
(Please explain with steps!! thank you)
A) 1/4
B) 3/8
C) 3/4
D) 5/8
Answers
A)1/4
Step-by-step explanation:
1/2=2/4
2/4+1/4=3/4
4/4-3/4=1/4
Consider the quadratic function f(x) = x² - 8x -4. What is the value of the leading coefficient?
-8
01
Answers
Answer:
1
Step-by-step explanation:
f(x) = x² - 8x - 4 ← is in standard form
with leading term x² and so
leading coefficient is the coefficient of the x² term, that is 1
i don't know this problem someone help please
Answers
Answer:
Points shouldn't be connected by straight lines but rather a curve
Step-by-step explanation:
None of the points seem to be incorrect, and the x and y-axis are labeled correctly as well as the points, the only issue I would say there is, is that this is a quadratic equation, so Brogan shouldn't be drawing straight lines between points, but rather a curve.
I have a 79.43 and if I add 10% would it raise it to 80% grade wise
Answers
Answer:
87 grade
Step-by-step explanation:
if yo add a 10% overall grade to you 79.43 you will get an 87.373
79.43 x 10% = 7.943 (points added bc of your 10%added)
79.43 + 7.943 = 87.373
round it and you'll have 87 overall grade