Answer:
The value of x is 11 degrees
Step-by-step explanation:
Here, given that two angles are vertical angles, we are interested in calculating the value of x. We simply want to use an important property of vertical angles to get the value of x as given in the question.
When we talk of vertical angles, they are angles which lies on opposite side to each other when we have two intersecting line.
By property, vertically opposite angles are equal.
Thus, in this case, we are to equate the angles we are having since they are both vertical angles;
Thus,
Mathematically;
angle A = angle B
3x + 3 = 4x -8
Collect like terms;
4x-3x = 3 + 8
x = 11 degrees
True or false? The graph has a real root when x =5
Answer:
True, assuming you mean on any graph.
Step-by-step explanation:
Use the distributive property to find the product
Answer:
14mn-12m
Step-by-step explanation:
a cookie recipe calls for 2/3 cup of brown sugar. sarah is making 1/4 of the recipe. how much brown sugar will she need
Answer:
She will need 1/6 of a cup of sugar to make 1/4 of the recipe.
Step-by-step explanation:
Write and solve an equation of ratios. On the left side we have the ratio of the fraction of the recipe and on the right that of the amount of sugar in each case:
1 recipe 2/3 cup
------------- = -------------
1/4 recipe x
Cross multiplying gives us:
1x = (1/4)(2/3), or
x =2/12 or 1/6
She will need 1/6 of a up of sugar to make 1/4 of the recipe.
can you give me a real-world problem that involves multiplying a fraction and a whole number?
Answer:
Rishi spent 3/4 of an hour for 2 days working on his science project . kyle spent 1/4 of an hour for 6 days working on his science project. who spent more time working on his science project.
Step-by-step explanation:
rishi and kyle spent the same amount of time.
6/4 and 6/4 hours
If t = -3, what is
[tex] \sqrt{6 - 25t} [/tex]
Answer:
[tex]9[/tex]
Step-by-step explanation:
So we have the expression:
[tex]\sqrt{6-25t}[/tex]
And we want to find the value of the expression when t is -3.
So, substitute -3 for t:
[tex]\sqrt{6-25(-3)}[/tex]
Multiply:
[tex]=\sqrt{6+75}[/tex]
Add:
[tex]=\sqrt{81}[/tex]
Evaluate:
[tex]=9[/tex]
So, our answer is 9.
And we're done!
A square patio has an area of 135 square feet.How ling is each side of the patio to the nearest tenth?
Answer:
[tex]\boxed {\tt 11.6 \ feet}[/tex]
Step-by-step explanation:
The area of a square can be found using the following formula.
[tex]A=s^2[/tex]
We know the area of the patio is 135 square feet. Substitute 135 ft² in for A.
[tex]135 \ ft^2=s^2[/tex]
We want to find the side length. We must isolate the variable, [tex]s[/tex]. on one side of the equation.
s is being squared. The inverse of a square is a square root. Take the square root of both sides of the equation.
[tex]\sqrt{135 \ ft^2} =\sqrt{s^2}[/tex]
[tex]\sqrt{135 \ ft^2} =s[/tex]
[tex]11.61895 \ ft =s[/tex]
Round to the nearest tenth. The 1 in the hundredth place tells us to leave the 6 in the tenth place.
[tex]11.6 \ ft \approx s[/tex]
Each side of the patio is about 11.6 feet.
Mr. Smith is a lawyer who charges the same amount for each hour. He charges $576 for 8 hours of work. How much will he charge for 5 hours?
Which set of numbers is included in the solution set of 8 - 5x > 23
Answer:5
Step-by-step explanation: because i had this question before
Factor Completely.
3x^2-75
Answer:
3(x+5)(x−5)
Step-by-step explanation:
Answer:
3(x - 5) x (x + 5)
^
multiplication sign btw
Step-by-step explanation:
3(x^2 - 25)
3(x - 5) x (x+5)
hope it helped
brainliest is appreciated
Name the sets of numbers to which each number belongs
What is the exact number of hundreds in 4,575?
Answer:
45
Step-by-step explanation:
3rd from the left and over r considered 100s
I need help with math
Answer:
E) |g-540|
Step-by-step explanation:
E) |g-540|
If it weighed a bit over, say 545, you would get |545-540|=|5|=5
If it weight a little under, say 535, you would get |535-540|=|-5|=5
Either way, it tells you how far away from 540 the package is in grams from the desired weight.
Please do this for me I need to finish everything else by the end of tonight and I don’t have that much time so please help me out and do this for me
Which equation represents a line that is parallel to y = -4x + 3 and passes through the point (-3,2)?
a. y= -4x - 10
b. y=-4x + 2
c. y= -4x + 5
d. y= 1/4x - 7/2
e. y= 1/4x + 11/4
Answer:
a
Step-by-step explanation:
y-2/x+3= -4
-4x-12=y-2
y=-4x-12+2
y=4x-10
equation of the line that passes through the point (-8,-1) and is parallel to the line x-4y=4x−4y=4?
Answer:
Step-by-step explanation:
x - 4y = 4
-4y = -x + 4
y = 1/4x - 1
y + 1 = 1/4(x + 8)
y + 1 = 1/4x + 2
y = 1/4x + 1
How would you record the temperature indicated on the thermometer?
Answer:
i would say closer to 15.1
Step-by-step explanation:
What is 3.680 divided by 7.86??
Answer:
The answer is 0.5 since we are rounding to the tenths place
Answer:
0.47 or 0.468 whichever one is better
Step-by-step explanation:
just divide with a calculator
Math WILL GIVE BRAINLIEST A. How many different outcomes are represented in your tree diagram?
B. Suppose the three primary colors are red, yellow, and blue. How many outcomes contain at least one primary color?
Step-by-step explanation:
hello just came here to get likes
Jamine has a half-sheet cake. If she has six friends, how much will each one get?
Answer:
1 12th (1 over 12)
Step-by-step explanation:
If she had a whole cake it would be 1 6th (1 over 6) of the cake. To get the answer for this do fraction for the amount of food then multiply that by 1 as the numerator and the number of people as the denominator (1 over the # of people). Then the fraction you get as your answer from multiplying that is the fraction or answer to your question. Note this only works with these types of questions. I really hope this helps.
The area of a rectangular rug is 25.5 square meters. The width of the rug is 3.75 meters. Found the length of the rug by dividing its area by its width. What is the length in of the rug?
I need help on this mathematical equation B is the Midpoint of AC.
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
B is the midpoint of AC so AB = BC.
AB + BC = AC
AB + AB = AC
2(AB) = AC
[tex]2\left(3\left(3x-1\right)\right)=5\left(2x+2\right)[/tex]
Expand:
[tex]2\times3\left(3x-1\right)=5(2x+2)[/tex]
[tex]6\left(3x-1\right)=5(2x+2)[/tex]
[tex]6\times3x-6\times1=5\times2x+5\times2[/tex]
[tex]18x-6=10x+10[/tex]
Add 6 to both sides:
[tex]18x-6+6=10x+10+6[/tex]
[tex]18x=10x+16[/tex]
Subtract 10x from both sides:
[tex]18x-10x=10x+16-10x[/tex]
[tex]8x=16[/tex]
Divide both sides by 8:
[tex]\frac{8x}{8}=\frac{16}{8}[/tex]
[tex]x=2[/tex]
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
First, we know that the entire segment adds up to 5(2x+2). In other words:
[tex]AB+BC=5(2x+2)[/tex]
Now, since B is the midpoint of AC, by the definition of midpoint, AB and BC are equivalent. So:
[tex]AB=BC[/tex]
Since we know that, let's substitute BC for AB in the first equation:
[tex]AB+BC=5(2x+2)\\[/tex]
This is equivalent to:
[tex]AB+AB=5(2x+2)[/tex]
Combine like terms:
[tex]2AB=5(2x+2)[/tex]
And since we know that AB is 3(3x-1), substitute:
[tex]2(3(3x-1))=5(2x+2)[/tex]
Now, solve for x.
Distribute the left side:
[tex]6(3x-1)=5(2x+2)[/tex]
Distribute both sides:
[tex]18x-6=10x+10[/tex]
Add 6 to both sides:
[tex]18x=10x+16[/tex]
Subtract 10x from both sides:
[tex]8x=16[/tex]
Divide both sides by 8:
[tex]x=2[/tex]
So, the value of x is 2.
And we're done!
Notes:
You didn't particularly state what you need to find. If you want to length of AB or BC, it would be:
[tex]AB=BC=3(3(2)-1)=15[/tex]
And the entire length AC is:
[tex]AC=2(15)=30[/tex]
Pleaseeee help !! I made this a 50 point question
The angle "b" and the angle "d" are both the same angle measure. In other words, they are opposite angles that share the black dot in the middle. Angle "a" and angle "c" are both opposite angles which make them the same. They can also be called congruent angles. Even if they are facing a different direction, they are the same.
Therefore, the answer is 130 degrees
Best of Luck!
answer:
130 degrees
explanation:
the angles "a" & "c" are opposite (also called congruent) so they are the same.
What type of relationship is indicated by the following set of ordered pairs ? I don’t understand it .
Answer: Since the second differences are constant, there is a quadratic relationship between and .
Step-by-step explanation:
a2+(b−c); a=−8, b=17, c=21
Answer:
-20
Step-by-step explanation:
a2 + ( b-c)
rewrite the equation
2 * a + ( b - c )
a = -8
b = 17
c = 21
substitute in the given values
(-8) 2 + ( (17) - (21) )
simplify and solve
-16 + ( 17-21)
= -16 + (-4)
= -16 -4
=-20
Given the conditional: If the game is field hockey, then the game is a team sport. Find the converse and determine its truth value.
Answer:
"If the game is a team sport, the game is field hockey"
Truth value → True
Step-by-step explanation:
The conditional statement is,
"If the game is field hockey, then the game is a team sport"
There are two statements,
Statement p → The game is a field hockey.
Statement q → Game is a team sport.
For the converse statement,
If p then q (q → p)
So the converse will be,
"If the game is a team sport, the game is field hockey"
Since, both the statements p and q are TRUE, truth value will be TRUE.
(Converse is false only when q is false and p is true)
PLeaseeeeee helpp read this At the beginning of this month, the balance of Esmeralda's checking account was $1023.49. So far this month, she has received a paycheck via direct deposit of $778.98, been charged a monthly service fee from her bank of $18, used a debit card linked to her account to make a purchase of $51.27, written a check for $388.63 that has already been deposited, and deposited a check written to her for $102.76, all in that order. Esmeralda wants to know the current balance of her account.
Part 1: What was the balance of Esmeralda's checking account after she received her paycheck via direct deposit?
Part II: What was the balance of Esmeralda's checking account after she was charged a monthly service fee from her bank?
Part III: What was the balance of Esmeralda's checking account after she used a debit card linked to her account to make a purchase?
Part IV: What was the balance of Esmeralda's checking account after the check she wrote was deposited?
Part V: What was the balance of Esmeralda's checking account after she deposited the check written to her? This is the current balance of Esmeralda's account.
Answer:
$1802.47; $1784.47; $1733.20; $2121.83; $2224.59
Step-by-step explanation:
Variable x = answer
Part 1:
1023.49 + 778.98 = x
$1802.47 = x
Part 2:
1023.49 + 778.98 - 18.00 = x
1802.47 - 18.00 = x
$1784.47 = x
Part 3:
1023.49 + 778.98 - 18.00 - 51.27 = x
1802.47 - 18.00 - 51.27 = x
1784.47 - 51.27 = x
$1733.20 = x
Part 4:
1023.49 + 778.98 - 18.00 - 51.27 + 388.63 = x
1802.47 - 18.00 - 51.27 + 388.63 = x
1784.47 - 51.27 + 388.63 = x
1733.20 + 388.63 = x
$2121.83 = x
Part 5:
1023.49 + 777.98 - 18.00 - 51.27 + 388.63 + 102.76 = x
1802.47 - 18.00 - 51.27 + 388.63 + 102.76 = x
1784.47 - 51.27 + 388.63 + 102.76 = x
1733.20 + 388.63 + 102.76 = x
2121.83 + 102.76 = x
$2224.59 = x
A simpler way to do this is by using the last number and adding or subtracting to that. I showed it this way to give you a better understanding.
Find the distance between the points (4,10) and (0,0) the answer must be a whole number
Answer:
d = [tex]2\sqrt{29}[/tex]
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(0-4)^2+(0-10)^2}\\d= \sqrt{(-4)^2+(-10)^2}\\d= \sqrt{16+100}\\d= \sqrt{116}\\d=2 \sqrt{29}[/tex]
Tony is 1/2 of a mile ahead of Laura on a jogging path. If Tony is running at 5 miles per hour, and Laura is running at 7 miles per hour, how long will it take Laura to catch up with Tony?
Answer: Another way of looking at this problem, is that Laura will "gain" 2 miles on Tony in 1 hour. Why? She is going 7 miles in 1 hour, while Tony is only going 5. 7-5 = 2.
However, Tony is only .5 miles ahead and the question asks how long will it take for her to catch up, not to overtake him or beat him in some race.
I would make a simple ratio here. If in 1 hour/she beats him by 2 miles, x hours/she beats him by .5 miles.
Another way to write that is 1/2 = x/.5
If you solve the equation, you get (by cross-multiplication) 2x = .5, x = .5/2, x =1/4.
Now, we are dealing with hours, so since there are 60 minutes in one hour, multiple the value you obtain for x by 60 minutes (60*1/4) = 15 minutes.
Therefore, it will take Laura 1/4 of an hour, or 15 minutes, in order to catch up with Tony
Step-by-step explanation:
Just #9 please I need help (30 points)
Answer:
Step-by-step explanation:
The graph starts at x = - 3 and ends x = 2. For all x between -3 and 2, there points on the graph. Hence the domain, in interval notation, is written as
[-3 , 2]
We have closed circles at x = - 3 and x = 2 because -3 and 2 are included in the domain which is indicated by the closed brackets at x = - 3 and x = 2.
The range is the set of possible output values, which are shown on the y-axis.
This is why our graph goes from (-3,8) to (2,3)
Explain why this is not a function
Answer:
because that is equivalent to the not operator