Answer:
the measure of <BAC = 60° and
46) option D is not true
Question 45
The two remote interior angles 3x and 2x add to the exterior angle 150. This is an application of the remote interior angle theorem
2x+3x = 150
5x = 150
x = 150/5
x = 30
angle BAC = 2x = 2*30 = 60 degrees
Answer: 60 degrees===================================================
Question 46
Choice A is true because of what I mentioned in the previous problem.
Choice B is true because we can find that angle C is 180-150 = 30. Then we can say A+B+C = 2x+3x+30 = 180 as all three interior angles of any triangle always add to 180.
Choice C is true since the equation above x = 30 can be written as 3x-2x = 30. It's a bit of a strange thing to do this, but it's still a valid statement.
Choice D is not true since 2x+3x is 150, which isn't 180 or larger. Even if we didn't know about the 150 at all, we still can't have 2 interior angles of a triangle add to 180 or larger (refer back to choice B).
Answer: Choice DJose unlocks his cellphone by placing his right thumb on a square of 1 centimeter by 1 centimeter at the center of the screen. Upon recognizing his thumbprint, the square expands outward. The cellphone unlocks when the perimeter reaches 32 centimeters, taking a total of 2.5 seconds. What is the perimeter of the square after 1.5 seconds? How is the answer 20.8?
Answer:
20.8 cm
Step-by-step explanation:
Perimeter of square = 4a
Dimension of the thumb print = 1 cm by 1cm
Perimeter of the size of the square (thumb print) = 4 × 1
= 4 cm
We are told in the question that:
The cellphone unlocks when the perimeter reaches 32 centimeters, taking a total of 2.5 seconds.
Hence,
32cm - 4cm = 28cm
What is the perimeter of the square after 1.5 seconds?
We set up a proportion
Time / perimeter
= 1.5/x = 2.5/ 28
Cross Multiply
= 2.5x = 1.5 × 28
x = 1.5 × 28/2.5
x = 16.8.
Therefore, the perimeter of the square after 1.5 seconds
= 16.8cm + perimeter of the square before expansion.
=16.8 cm + 4 cm
= 20.8 cm
Answer:
C: 20.8 centimeters
Step-by-step explanation:
Find the exact distance between the points (8,-1) and (2,2).
• 45
• 101
• 745
• V 101
what is the equivalence of -5/8
Answer:
One answer could be -10/16
Step-by-step explanation:
Write .24... as a fraction in simplest form.
Answer:
6/25
Step-by-step explanation:
6/25
0.24... as a fraction in simplest form is 6/25.
How to write .24... as a fraction in simplest form?A fraction is in its simplest form if the numerator and denominator have no common factors other than 1.
In other words, you cannot divide the top and bottom any further and have them still be whole numbers. The simplest form is also called lowest terms.
We have:
0.24 = 24/100
In this case, 24 and 100 have a common factor, which is 4. Thus, 0.24 (24/100) in simplest form will be:
0.24 = 24/100 = 6/25 (divide both numerator and denominator by 4)
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Which problem could be solved with the expression (5+3) = 2?
Answer:
A
Step-by-step explanation:
Do 5-3=2 and then you have your answer if I got it wrong sorry
Answer: A
Step-by-step explanation:
solve the equation
5+3 =8
plug in each problem.
8-2= 6
- 3/2 + ( - 4/2 ) pls help !!
A car has 15 gallons of gas in its tank. The car travels 35 miles per gallon of gas. It uses 135 of a gallon of gas to go 1 mile. A. How far can the car travel with 15 gallons? With 15 gallons of gas, the car can travel 525 miles. B. How much gas does the car use to go 100 miles? The car will need gallons to travel 100 miles.
Answer:
525 miles
Step-by-step explanation:
Two unit rates are given in this problem:
miles per gallon
gallons per mile
Since we want to find miles, the appropriate rate to use is miles per gallon:
[tex]distance = \frac{miles}{gallon} (gallons)\\distance = \frac{35 miles}{gallon} (15 gallons) = 525[/tex]
PLEASE HELP QUICK!!!!! Find the value of x
Answer:
x = 22
Step-by-step explanation:
158 + x + 148 + 32 must sum up to 360 as this is a quadrilateral. Thus:
x + 338 = 360.
Subtracting 338 from both sides, we get x = 22
WXYZ is a quadrilateral in which
W^=108 degrees, X^=88 degrees, Y^=57 degrees and WX^Y= 31 degrees.
Calculate angle WZ^X and XZ^Y
Plzzz i really need to know the answer
Step-by-step explanation:
what is your name what is 1000 divided by 1000
Nina's grades could be better. She gets about five hours of sleep every weeknight and ten hours per night on weekends. How much sleep should she get to better concentrate on schoolwork? five to six hours every night nine to ten hours every night a total of forty hours a week a minimum of eighty hours a week Save and Exit Next Mark this and return
Answer:
The correct option is;
A total of forty hours a week
Step-by-step explanation:
The given information in the question are;
The number of hours of sleep Nina gets during weeknights = five hours
The number of hours of sleep Nina gets per night on weekends = ten hours
The number of days in a week = 5 days
The number of days in a weekend = 2 days
Therefore;
The number of hours of sleep Nina gets per week = 5 days × 5 hours/day + 2 days × 10 hours/day
∴ The number of hours of sleep Nina gets per week = 25 hours + 20 hours = 45 hours
The number of hours of sleep Nina gets per week = 45 hours
To better concentrate on schoolwork, Nina could get a total of forty hours a week of sleep a week to increase the number of hours she spends weekly on her schoolwork by up to 5 hours (45 hours - 40 hours).
Answer:
nine to ten hours every night hope o helped bbbbbbbbbbbbbbbbbbbbyyyyyyyyyyyyeeeeeeeee
Step-by-step explanation:
find the sum of first 22 terms of AP 8, 3, -2
Al simplificar esta expresion logaritmica, cual es la forma mas simple?
Answer:
La respuesta es
[tex] \frac{1}{2} [/tex]Step-by-step explanation:
[tex] log_{5}( \sqrt{5} ) [/tex]Escribe la expresión en forma exponencial con base 5
Eso es
[tex] log_{5}(5)^{ \frac{1}{2} } [/tex]Usando las reglas de los logaritmos que
[tex] log_{ a}( {a})^{x} = x[/tex]Simplifica la expresión
Tenemos la respuesta final como
[tex] \frac{1}{2} [/tex]Espero que esto te ayude
A ratio that is equivalent to 5:2 is?
Solve the equation for x.
(x - 4) - (x + 7) = 8x
11
Answer:
-11 is the answer. I think
Four hundred vouchers were sold for a carwash. Vouchers to wash trucks were $4, while vouchers to wash compact cars were $3. If the total sales were $1350, how many of each type of voucher were sold?
Answer:
150 vouchers to wash trucks were sold
250 vouchers to wash compact cars were sold
Step-by-step explanation:
Here, we are interested in calculating the number of each type of vouchers sold.
Let the number of vouchers to wash trucks be x while the number of vouchers to wash compact trucks be y.
Firstly, we know that both sums up to be 400.
Mathematically;
x + y = 400 •••••••••(i)
Secondly,
since a voucher to wash trucks sell $4, and we sold a total of x, the amount generated from selling is 4 * x = $4x
Same way for the vouchers to wash compact cars, we have a total of $3 * y = $3y
The sum of both gives $1350, which is the total sales.
Mathematically;
4x + 3y = 1350 ••••••(ii)
So we have two equations to solve simultaneously;
x + y = 400
4x + 3y = 1350
Multiply equation i by 4 , we have;
4x + 4y = 1600
4x + 3y = 1350
Subtract equation ii from i, we have 4y-3y = 1600-1350
y = 250
From equation 1, we know that
x + y = 400
This means that;
x = 400 -y
x = 400 -250
x = 150
Solve each equation. Give exact solutions. Then approximate each solution to the
nearest hundredth, if necessary.
1). x2 = 121
2). 4x? = 20
3). 4x² + 5 = 20
Answer:
sorry dont know the answer im new to this website
Step-by-step explanation:
Answer:
1.x=11
2.x=+5=+2.2362
3.x=+3.750=+1.93649
Determine the interval on which the function is constant
(-2,2)
Just took the quiz, this is 100% correct.
Please mark brainliest! :)
A constant function is a function having the same value of range for different values of the domain.
The interval on which the given function is constant is x ∈ [ -2, 2 ].
What is a constant function?A constant function is a function having the same value of range for different values of the domain.
We have,
The graph shows that the function is constant at an interval.
The graph of a constant function is always a straight line.
We see that we have a short straight line on the graph.
The straight line starts from the x = -2 till x = 2 on the x-axis.
The straight line has the constant y = -2 on the y-axis.
The x values are called the domain.
The y value is called the range.
The interval on which the graph is constant is x ∈ [ -2, 2 ].
Thus, the interval on which the given function is constant is x ∈ [ -2, 2 ].
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Factor each polynomial.
15d -12cd^2
Answer:
3d(5-4cd)
Step-by-step explanation:
15d - 12cd² (we see that the highest common factor of 15 and 12 is 3, hence we can factor 3 out)
= 3 (5d - 4cd²) (we also notice that d appears in both terms in the parantheses. hence we can also factor d out)
= 3d(5-4cd)
Kaia calculates the she spends 75 minutes of a school day in science class. If she spends 500 minutes in school, what percent of her school day does Kaia spend in science class
Answer:
15%
Step-by-step explanation:
Since a percent is out of 100 we can make 75/500 to have the denominator of 100.
To do that you divide
500/5 = 100
and for the numerator
75/5 = 15
whatever you do to one side you must do to the other that's why I divided both sides by 5. The ending fraction would be 15/100 which is the same as 15%
Hope that helps and have a great day!
Un emprendedor sabe que para vender x de sus productos diariamente el precio de cada uno debe ser 96.800-10x pesos. ¿Cuál es el precio, en pesos, al que debe cobrar sus productos para vender 200 unidades diarias? *
Responder:
94,800 pesos
Explicación paso a paso:
Dado que:
Para vender x de un producto diariamente, el precio al que debe vender cada uno de sus productos = 96800 - 10x pesos
Por lo tanto, para vender 200 unidades al día, el precio a cobrar será:
Sustituye 200 en lugar de x en la ecuación de precio anterior,
Es decir ;
x = 200
Precio = 96,800 - 10 (200) pesos
Precio = 96,800 - 2000
Precio = 94,800 pesos
De ahí que el precio a cobrar al vender 200 unidades diarias sea de 94.800 pesos.
Write 19/9 as a mixed number
Answer:
2 1/9
Step-by-step explanation:
Divide 19 by 9 and get a number with a remainder
Take remainder and put it as the numerator with 9 and the denominator and with 2 as the whole number
A card store sells greeting cards that range from less than $1 to $10. The histogram below shows the distribution of cards throughout several price ranges and was determined to be the most accurate way of representing these data.
Hello, I do not see a question nor a histogram for the statement/info provided. I am assuming that the question that you are referring to is "Which of these most likely describes the data shown in the histogram?"
Answer:
The correct answer would be: A, The cards are grouped into five intervals according to price. The prices of the cards vary within each interval, and the highest frequency is 21.
Explanation:
From the histogram (below), you can observe that the highest frequency for the diagram is in fact 21, so you can eliminate answer options B and D.
You are left with either A or C, but you can tell that C is wrong as it states "The prices of the cards are limited to a few whole number values", but in truth the histogram displays values that are decimals, the prices of the cards vary within each interval.
Hope this helps!
Write an inequality for the following statement.
9 is greater than a
Answer:
9>a
Step-by-step explanation:
The greater than symbol is >
The less than symbol is <
It can be helpful to imagine the signs as little crocodile mouths. They will turn their heads to the biggest catch, or in this case, the greater number. So the open end of the sign will be towards the greater number.
Answer:
9>a
Step-by-step explanation:
the side with the bigger opening means that side of the inequality has a greater value so since 9 is greater than a the bigger opening will go to 9.
Which is the correct classification of
?
3/8
√50 inrrational or rational
Answer:
it is irrational
Step-by-step explanation:
hav a nice dAY
1.) x/-2=-3
What is the answer of this question
Answer:
x = 6
///////////////////////
(x^4)^6= Simplify usiong the lawas of exponents pexplain if can
Answer:
x^10
Step-by-step explanation:
exponent multiplication is like addition for exponents
Answer:
x^24
Step-by-step explanation:
robert has money in his saving account. he spent $35 of it on a new jacket. he has $70 left. how much money did he have his savings before he bought the jacket
Answer:
The answer is $105
Step-by-step explanation:
Solution: 4x = 12
You
5
Is a rational number?
00
yes
no
Submit
add 6 to the quotient of j and k
Answer:
j/k + 6
Step-by-step explanation:
Add 6 to the quotient of j and k comes out to:
j/k + 6