Answers
Answer:
x = 6
Both the angles are equal
7x + 4 = 9x - 8
9x - 7x = 4 + 8
2x = 12
x = 6
Solution:
We know that:
Both angles are equivalent.This means that:
[tex](7x + 4) = (9x - 8)[/tex]Step-by step calculations:
Open the parenthesis:
[tex](7x + 4) = (9x - 8)[/tex]=> [tex]7x + 4 = 9x - 8[/tex]Subtract 7x both sides:
=> [tex]7x - 7x + 4 = 9x - 8 - 7x[/tex]=> [tex]4 = 2x - 8[/tex]Add 8 both sides:
=> [tex]4 + 8 = 2x - 8 + 8[/tex]=> [tex]12 = 2x[/tex]Divide 2 both sides:
=> [tex]\frac{12}{2} = \frac{2x}{2}[/tex]=> [tex]x = 6[/tex]Related Questions
What is 0.801 in words?
Answers
Answer:
How to Write Out Number 0.801 in Words: eight hundred one thousandths in (US) American English, Number Converted (Spelled Out) to Words.
Errors in the programming language Python can be broadly classified into two types, syntax errors, and logical errors. When writing a program the first time, the probability for syntax errors to arise is 0.3, that for logical errors is 0.5, and that for both errors to occur is 0.1.(a) Find the probability that no syntax errors occur.(b) Find the probability that no errors occur.(c) Find the probability that errors of any type occur.(d) The programmer found a syntax error in the code. What is the probability that there are also logical errors based on this finding?(e) Are the events of having syntax errors and logical errors independent? Also, explain why.
Answers
Answer:
Step-by-step explanation:
a( Pr(no syntax error) = 1-Pr(syntax error arises)
Pr(no syntax error) = 1 -0.3
Pr(no syntax error) = 0.7
b) Pr(no error occurred) = 1-Pr(both error occurred)
Pr(no error occurred) = 1-0.1
Pr(no error occurred) = 0.9
c) Pr(any type of error occurred) = Pr(syntax error occur)+Pr(logical)
Pr(any type of error occurred) = 0.5+0.3 = 0.8
d) Pr(syntax and logical) = Pr(syntax occur)+Pr(logical or syntax occur)
= 0.3+0.1
= 0.4
e) Independent event are events that occurs at the same time. The occurrence of one does not affect the other.
Pr(logical and syntax) = pr(syntax)×pr(logical)
Given
pr(syntax)×pr(logical) = 0.3×0.5 = 0.15
From the question, Pr(logical and syntax) = Pr(both error occurred) = 0.1
Since Pr(logical and syntax) ≠ pr(syntax)×pr(logical), this means that the errors are not independent
If 2 pints = 1 quart, how many pints are in a 26-quart container
Answers
Answer:
52 pints
Step-by-step explanation:
Given;
2 pints = 1 quart
To Find;
How many pints are in a 26-quart container
Solve;
Since 2 pints = 1 quart
Then the Formula = divide the volume value by 2
The equation for 2 pints = 1 quart is 2 ÷ x = 1
which x = 2.
Thus, the equation for 26 quart container = how many pints =
x ÷ 2 = 26
Divide/Multiply sides by 2
2x/2 = 26 * 2
Simplify
x = 52
Hence, there are 52 pints in a 26 quart container
~Learn with Lenvy~
HELP PLEASE !!!!!!!!!!!
Answers
[] The equation on the left, 292 [tex]\frac{1}{2}[/tex] = 18 * 6 [tex]\frac{1}{2}[/tex] * h
-> Volume is length times width times height. When we plug in all the values we have to solve for h (height) we get this equation.
[] The height is 2.5 inches
-> We will solve the equation above.
-> Multiply 18 by 6 and a half = 117
-> Divide 292 and a half by 117 = 2.5
-> The height is 2.5 inches or 2 [tex]\frac{1}{2}[/tex]inches
292 [tex]\frac{1}{2}[/tex] = 18 * 6 [tex]\frac{1}{2}[/tex] * h
292 [tex]\frac{1}{2}[/tex] = 117h
[tex]\frac{292 \frac{1}{2} }{117}[/tex]= [tex]\frac{117h}{117}[/tex]
2.5 = 1h
h = 2.5 inches
can someone please explain? lol
Answers
Answer:
10.235 in²225 cm²Step-by-step explanation:
The area of a triangle is half the product of its base and height.
A = 1/2bh
a)A = 1/2(2.3 in)(8.9 in) = 10.235 in²
__
b)A = 1/2(15 cm)(30 cm) = 225 cm²
Simplify by combining like terms. 8a3 + 9t + 7a3 + 6t + 8a2
Answers
Step-by-step explanation:
8a3 + 9t + 7a3 +6t + 8a2
8a³+7a³+8a²+9t+6t
15a³+8a²+15t
I need help I didn't pay attention in class now I am lost.
Answers
Josiah wants to ride his bicycle 42.5 miles this week. He has already ridden 18 miles.
If he rides for 5 more days, what is the average number of miles he would have to ride
each day to meet his goal?
Answers
Hello there! Allow me to help you!
|| ▼ Answer ▼ ||
4.9 miles
|| ✪ Solution ✪ ||
Step 1:
In this question, we are given the following:
Josiah wants to ride his bicycle 42.5 miles this week.
He has already ridden 18 miles. If he rides for 5 more days,
what is the average number of miles he would have to ride each day to meet his goal?
Step 2:
The details of the solution are as follows:
Total distance = 42. 5 miles
Distance ridden = 16 miles
Number of days left = 5 days
Let the number of miles that'll be ridden for each day be represented by x.
Hence, we have that,
[tex]5x+18=42.5[/tex]
[tex]5x=42.5-18[/tex]
[tex]5x=24.5[/tex]
Divide both sides by 5 we have that,
[tex]x=\frac{24.5}{5}[/tex]
[tex]x=4.9[/tex]
CONCLUSION:
The average number of miles he would have to ride each day to meet his goal = 4.9 miles
Hope this helps!
If you have any questions please ask.
The required average miles for him to ride for 5 days is 4.9 miles per day.
Given that,
Josiah wants to ride his bicycle 42.5 miles this week. He has already ridden 18 miles.
he rides for 5 more days, what is the average number of miles he would have to ride each day to meet his goal is to be determined
The average of the values is the ratio of the total sum of values to the number of values.
Here,
Josiah wants to ride his bicycle for a total of 42.5 miles,
he rides for 18 miles by now,
Remaining miles to ride = 42.5 - 18 = 24.5 miles
For 5 day is must ride for average = 24.5 / 5 = 4.9 miles per day.
Thus, the required average miles for him to ride for 5 days is 4.9 miles per day.
Learn more about average here:
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which describes the graph of y=-(x+1)^2-4? a. minimum at (-1,-4) b. maximum at (1,-4) c. maximum at (-1,-4) d. minimum at (1,-4)
Answers
Answer:
c. maximum at (-1,-4)
Step-by-step explanation:
just took a quiz
The graph has its maximum at (-1, -4).
y=-(x+1)^2-4
Maximum of the equation is to determine.
A cross section of the cone and represented by an equation y=4ax^2.
Here,
y=-(x+1)^2-4
While plotting the curve, the curve is maximum at (-1, -4) beside this point curve is decreasing.
Thus , the graph has its maximum at (-1, -4).
Learn more about parabola here:
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Sally puts $200.00 in a bank account. Each year the account earns 8% simple interest. How much interest will be earned in three years? A $16.00 B $24.00 C $48.00 D $160.00
Answers
Answer:
D
Step-by-step explanation:
Mike can run 1/2 mile in 1/15 of an hour. How many miles can mike run in 1 hour?
i need answer fast
Answers
Animals help ⚠️BLANK⚠️ flowers when eating it and depositing the seeds in a different area?
FILL IN THE BLANK PLEASE
Answers
Answer:
Animals help pollinate flowers by eating them and depositing the seeds in different areas.
Classify each expression by degree and by number of terms. Some answers may be used once and some way not be used at all so make sure you read carefully
Answers
Answer:
899
Step-by-step explanation:
+
Chris bought 39 items at a yard sale for $9.75 each. About how much did he spend in all? (Use estimation)
Answers
Answer:
$390
Step-by-step explanation:
If you are going to estimate, you should round to the nearest one (for a whole number answer), so we would round $9.75 to $10.
39*$10 = 390
Estimate: $390
Exact answer: $380.25
(if you need it)
Jim is putting money into a savings account. He starts with $350 in the savings account, and each week he adds $60.
Let S represent the total amount of money in the savings account in dollars), and let W represent the number of weeks Jim
has been adding money. Write an equation relating Sto W. Then use this equation to find the total amount of money in the
savings account after 16 weeks.
Equation:
Check
Save For Later
Submit Assignment
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Answers
Answer:
S= 350+60w
Step-by-step explanation:
Find the perimeter of a triangle with sides measuring 10 inches, 14 inches and 15 inches
Answers
Answer:
39
Step-by-step explanation:
Answer:
39 inches
Step-by-step explanation:
Perimeter is found by adding the sides of the object together.
10in. + 14in. + 15in. = 39in.
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Given f(x)=6(1-x what is the value of f(-8)
Answers
Answer:The value of f(-8)=54
Step-by-step explanation:
you do the stuff in the parentheses first. When you subtract a negative number you actually add that number So it's 6 (1+8) 1+8=9. 6(9)=54
Plz Plz answer this!!!!! You’ll get brainliest if ur right and ull get 15 points Plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz
Answers
Answer:
the last one
Step-by-step explanation:
tHanks again everyone
Answers
Let's solve
[tex]\\ \rm\rightarrowtail x+2<-3[/tex]
[tex]\\ \rm\rightarrowtail x<-3-2[/tex]
[tex]\\ \rm\rightarrowtail x<-5[/tex]
So
there is a open dot present over -5Less than means left side onwardsOption B
thanks again everyone
Answers
Answer:
5 gallons
conversion:
2 cups → 1 pint2 pints → 1 quart 4 quarts → 1 gallonwe have here total 80 cups.
2 cups → 1 pint80 cups → 40 pints
Then convert it into quartz
2 pints → 1 quart40 pints → 20 quartz
Then convert quartz into gallons
4 quarts → 1 gallon20 quartz → 5 gallons
help pleas Given that f(x)=x^2+3x−7, g(x)=3x+5, and h(x)=2x^2−4, find each of the following. Solve each of the problems showing work.
f(g(x))
h(g(x))
(h−f)(x)
(f+g)(x)
Answers
Answer:
check below!given functions:
[tex]\sf f(x)=x^2+3x-7[/tex]
[tex]\sf g(x)=3x+5[/tex]
[tex]\sf h(x)=2x^2-4[/tex]
solving steps:
(a)
[tex]\sf f(g(x))[/tex]
[tex]\sf \sf f(3x+5)[/tex]
[tex]\sf (3x+5)^2 + 3(3x+5)-7[/tex]
[tex]\sf 9x^2+30x+25+9x+15-7[/tex]
[tex]\sf 9x^2+39x+33[/tex]
(b)
[tex]\sf h(g(x))[/tex]
[tex]\sf h(3x+5)[/tex]
[tex]\sf 2(3x+5)^2-4[/tex]
[tex]\sf 18x^2+60x+50-4[/tex]
[tex]\sf 18x^2+60x+46[/tex]
(c)
[tex]\sf (h-f)(x)[/tex]
[tex]\sf 2x^2-4-(x^2+3x-7)[/tex]
[tex]\sf 2x^2-4-x^2-3x+7[/tex]
[tex]\sf x^2-3x+3[/tex]
(d)
[tex]\sf (f+g)(x)[/tex]
[tex]\sf x^2 + 3x -7 +3x+5[/tex]
[tex]\sf x^2+6x-2[/tex]
Subtracting a number is the same as adding it’s opposite. Use the his understanding to complete each of the equations below.
Answers
Do you have the problems that need completing?
7. The graph was made to compare the costs of renting copy machines
from Ames Business Product to those from Beck's Office Supply. What
information is given by the point of intersection of the two lines? *
Answers
The information given by the point of intersection of the two lines is (d) the number of copies for which the total cost per month is the same for both companies
How to interpret the point of intersectionThe point of intersection is the equilibrium point of both companies.
This means that, the point represents where the number of copies and the total cost per month for both companies is equal
Hence, the information given by the point of intersection of the two lines is (d)
Read more about point of intersection at:
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A home run is hit in such a way that the baseball just clears a wall 15.0 m high, located
152 m from home plate. The ball is hit at an angle of 34.0° to the horizontal, and air
resistance is negligible. Assume that the ball is hit at a height of 1.00 m above the
ground. Use significant figures in your final answer and show your work.
a. Find the initial speed of the ball. {8 Points}
Answers
Hang on I am figuring it out
Sammy is making a Cartesian plane in math class. She needs to draw all of the quadrants. How many quadrants are in a Cartesian plane?
Answers
Answer:
4
Step-by-step explanation:
There is 4 quadrants in a Cartesian Plane.
Please help asap! I will gave brainlest!
Answers
Step-by-step explanation:
[tex] \tan(x) \csc {}^{2} (x) - \tan(x) [/tex]
[tex] \tan(x) ( \csc {}^{2} (x) - 1)[/tex]
[tex] \tan(x) ( \cot {}^{2} (x) [/tex]
[tex] = \tan(x) \cot(x) \cot(x) [/tex]
[tex]1 \cot(x) [/tex]
[tex] = \cot(x) [/tex]
Evaluate -4|-4|.
0-8
8
16
-16
Answers
9514 1404 393
Answer:
-16
Step-by-step explanation:
The absolute value function gives the positive value of the argument, so this is ...
-4|-4| = -4·4 = -16
1
9. Adam had 183 pieces of gum. He gave of the pieces to his sister. How many
3
pieces of gum does Adam have left?
Answers
Hi!
Your answer will be: 180.Reason being: 183-3=180. Also, 180+3=183.
Hope this helps!
Yours Truly,
~~~PicklePoppers~~~Assessment Unit #1B
(FIF.2) Dora said that the mapping below does not represent a function because each value in the
domain is paired with the same value in the range. Explain the error in Dora's reasoning. (1 point)
6
-1
12
0.5
3
Answers
Answer:
i have no idea i think its 0.5 or 12
Step-by-step explanation:
You lose track of how many 2-point baskets and 3-point baskets a team makes in a basketball game. The team misses all the 1-point baskets and still scores 54 points. The equation 2x+3y=54$ models the total points scored, where x is the number of 2-point baskets made and y is the number of 3-point baskets made. a. Find and interpret the intercepts.
Answers
Answer:
x-intercept: 27, the number of 2-pointers if no 3-pointersy-intercept: 18, the number of 3-pointers if no 2-pointersStep-by-step explanation:
Each intercept is found by setting the other variable to zero and solving for the variable value of interest.
2x +3y = 54
x-intercept:
2x = 54
x = 27
y-intercept:
3y = 54
y = 18
__
By definition, the intercept values are the values that satisfy the equation when the other variable is zero.
x-intercept: To score 54 points, the team would have to make 27 2-point baskets if no 3-point baskets were made.
y-intercept: To score 54 points, the team would have to make 18 3-point baskets if no 2-point baskets were made.