Answers
Answer:
m∠4 = 55°
Step-by-step explanation:
From the figure attached,
m∠DBC = m∠BCA + m∠BAC [Exterior angle of a triangle equals the sum of the remote interior angles]
m∠4 = 30° + 25° = 55°
Therefore, m∠4 = 55° will be the answer.
Related Questions
Find the two square roots of 144.
Answers
Answer:
The square root function
sqrt(144) or √144 produces a single positive value, 12.
However if you have an equation
x² = 144, then you have two possible values for x, 12 and -12.
Two ways to look at it.
x² - 144 = 0
Difference of two squares
(x+12)(x-12) = 0
x = -12, 12
x² = 144
x = ±√144
x = ±12
x = -12, 12
Answer:
12 and -12
Step-by-step explanation:
144 is a perfect square which means that a number multiplies to it with the same number. In this instance both 12 and -12 equal 144.
12 x 12 = 144
-12 x -12 = 144 (two negatives equal a positive)
How many choices are in the sample space of drawing a club out of a deck of 52 cards?
A. 13 choices
B. 52 choices
C. 26 choices
D. 12 choices
Answers
Answer:
A. 13
Step-by-step explanation:
I need help finding the circled ones
Answers
#12 is 17, #3 is 59, #8 is 28, #22 is 78, #32 is 90, #10 is 59, #21 is 26
I need help!! ASAP!!
Answers
Answer:your answer is c
Step-by-step explanation:if you want to be friends we can just friend me
What is the least amount of additional money Sofia can spend to get the sushi they need?
Answers
Answer:
$
Step-by-step explanation:
I WILL GIVE BRAINLIEST PLEASE.
After an interview, Manahil reached her home at 1305 hrs. If she stopped at the petrol station for 10 mins and then later for 25 mins at Cocochan to pick up some lunch, exactly how long was her journey?
Answers
Answer:
well i think add everything up like add 1,305 to 25 and 10 you should hopefully get your answer not quite sure what subject you are on but hope this works.
Solve the following equation for I. A = 2nr + nrl. Explain each step please
Answers
What is 27 times 30 to the power of 2?(“real” question)
Answers
Answer:
24300
Step-by-step explanation:
first find the square for 30 * 30
then multiply!
If f(x) = 1/2x^2 - (1/4x +3), what is the value of
f(8)?
Answers
Answer:
27
Step-by-step explanation:
If [tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex], then the value of [tex]f(8)[/tex] is [tex]f(8) = \frac{-93}{4480}[/tex].
What is Quadratic Equation?A quadratic equation is an algebraic equation in the variable of the second degree. The quadratic equation is in the form of [tex]ax^{2} + bx + c = 0[/tex], where [tex]a,b,c[/tex] are the real numbers.
We have
[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]
According to Quadratic Equation,
[tex]f(x)=ax^{2} +bx+c[/tex]
And we have,
[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]
So,
[tex]f(8) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]
i.e. putting [tex]x=8[/tex],
[tex]f(8) = \frac{1}{2(8)^2} - \frac{1}{4*8 +3}[/tex]
[tex]f(8) = \frac{1}{128} - \frac{1}{35}[/tex]
Solving the above part,
[tex]f(8) = \frac{ 35-128 }{ 128*35 }[/tex]
[tex]f(8) = \frac{-93}{4480}[/tex]
Hence, we can say that value of [tex]f(8) = \frac{-93}{4480}[/tex] .
To know more about Quadratic Equation click here
https://brainly.com/question/2263981
#SPJ2
Will give brainliest (Don't copy from the internet please)
You have gone out to eat with a couple of friends. One is your friend Jamal and the other is your friend Marek. At the end, you get the check, and you decide to split it in two parts. You will pay for yourself and Jamal, while Marek will pay for 1/3 of the total amount. You end up paying $16.00 for your part of the meal. Later, you can’t remember how much the total bill was, but you are sure you can figure it out.
1. Write a system of equations to represent this situation, and solve the system to find out how much the total cost of the meal was (including your part as well as Marek’s part). Show all of your work.
2. How much did Marek pay for his part of the meal? Again, show all of your work.
3. Was this a fair way to split up the check? What might be a more fair way to split up the check?
Answers
2: 1/3 of 48 = 48/3 = 16
3:No it wasn’t because you payed an extra 16 for jamals meal.Everyone should pay 16 dollars each because that is 1/3 of the meal price
please help me :(
Angharad sleeps for 8 hours each night, correct to the nearest 10 minutes.
The total time she sleeps in the month of November (30 nights) is T hours.
Between what limits does T lie?
Answers
Answer:
The limits between which T lies is 273 hours 30 mins < T < 242 hours 30 minutes
Step-by-step explanation:
The number of hours Angharad sleeps each night = 8 hours ± 10 minutes
The actual time Angharad sleeps each night = 8 hours ± 5 minutes
Which gives the maximum time Angharad sleeps = 8 hours 5 minutes = 485 minutes per night
The minimum time Angharad sleeps = 7 hours 55 minutes = 475 minutes
The number of days in the month of November = 30 nights
The maximum time in minutes Angharad sleeps in November, [tex]T_{max}[/tex] = 30 nights × 485 minutes/night = 14,550 minutes = 242.5 hours = 242 hours 30 minutes
The minimum time in minutes Angharad sleeps in November, [tex]T_{min}[/tex] = 30 nights × 475 minutes/night = 14,250 minutes = 237.5 hours = 237 hours 30 minutes
Therefore, we have, the limits between which T lies given as follows;
273.5 hours < T < 242.5 hours.
Answer:
235 ≤ T ≤ 245
Step-by-step explanation:
(8 hours per night x 30 nights) = 240 hours
The deviation from 8 hours per night is as much as 10 minutes per night.
Over 30 nights, the total deviation can be as much as (30 x 10 minutes) = 300 minutes = 5 hours.
So T can be as much as (240 + 5) = 245 hours, or as little as (240 - 5) = 235 hours.
In inequality form,
235 ≤ T ≤ 245
What is the value of x?
Enter your answer in the box
Answers
Answer:
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
Step-by-step explanation:
what is 25% more than 6 feet
Answers
Answer:
7.5 I guess?
Step-by-step explanation:
??
Step-by-step explanation:
l dont understand this can you explain
what is the lowest term of 27/45
Answers
Answer:
3/5
Step-by-step explanation:
[tex] \frac{27}{45} = \frac{27 \div 9}{45 \div 9} = \frac{3}{5} \\ [/tex]
find the solution to following system using substitution or elimination
y = -x + 10
y = 7x + 2
A. (1,9)
B. ( 3/2 , 17/2)
C. (9,65)
D. (1, -1/7)
Answers
Answer:
the answer is (1,9)
Step-by-step explanation:
5. A train travels two different routes: the North Route and the South Route. • On Monday, the train traveled the North Route 8 times and the South Route 10 times, traveling a total of 410 miles. • On Tuesday, the train traveled the North Route 15 times and the South Route 11 times, traveling a total of 575 miles. How long is each route?
Answers
Answer:
North Route is 20 miles, and South Route is 25 miles.
Step-by-step explanation:
Let the length of the North route be represented by x and that of the South route be represented by y.
On Monday,
8x + 10y = 410
On Tuesday,
15x + 11y = 575
So that,
8x + 10y = 410 .............. 1
15x + 11y = 575 ......... 2
Using substitution method, from equation 1;
x = [tex]\frac{410 - 10y}{8}[/tex] ................. 3
Substitute the expression for x into equation 2,
15([tex]\frac{410 - 10y}{8}[/tex]) + 11y = 575
multiply through by 8,
6150 - 150y + 88y = 4600
6150 - 62y = 4600
6150 - 4600 = 62y
1550 = 62y
divide through by 62 to have,
y = 25
Substitute the value of y in equation 3
x = [tex]\frac{410 - 10y}{8}[/tex]
= [tex]\frac{410 - 10(25)}{8}[/tex]
= 20
x = 20
Thus, North Route is 20 miles, and South Route is 25 miles.
A line passes through the points (2, -4) and (4, 2). What is the equation of this line in slope-intercept form?
Answers
Answer:
A:y=3x-10
Step-by-step explanation: the rise and run is 6/2 and the y intercept is -10
At 8:00, the temperature was 15 degrees Celsius (°C). Three hours later, the temperature was -15°C. By how many degrees Celsius did the temperature change?
Answers
Answer:
30 degrees
Step-by-step explanation:
If you were to draw a number line, 15 and -15 are both 15 units away from 0. So, 15 + 15 =30
Please brainlist!
On a Cartesian plane, the horizontal axis is called the _______ -axis and the vertical axis is called the _______-axis.
Answers
Answer:
Step-by-step explanation:
horizontal = x-axis
vertical = y-axis
Hope this helps!
Answer:
Horizontal: X-axis; Vertical: Y-axis
Step-by-step explanation:
A parking lot is constructed in the shape of a parallelogram. A construction company needs to pave the parking lot, which will cost $3 per square foot. What is the total cost to pave the parking lot.
Answers
Answer:
[tex]\$3A[/tex]
[tex]A[/tex] denotes area of a parallelogram
Step-by-step explanation:
Given: A parking lot is in the form of a parallelogram. Per square foot cost to pave the parking lot is [tex]\$3[/tex].
To find: Total cost to pave the parking lot
Solution:
Let [tex]A[/tex] denotes area of a parallelogram.
Also,
Per square foot cost to pave the parking lot is [tex]\$3[/tex].
So,
Total cost to pave the parking lot [tex]=\$3A[/tex]
Circle D is shown. Line segment G D is a radius, D F is a radius, and D E is a radius. Angle G D F is 126 degrees, and angle F D E is 41 degrees. Point C is on the circle within angle G D F and point H is on the circle within angle G D E. Which statements are correct? Check all that apply.
Answers
Answer:
2,3,4 are correett
Step-by-step explanation:
1,5,6 are wroongg
Answer: 2 3 4 are your answers
5. Write an equivalent expression for (2x + 4)(x-5)
Answers
[tex]2x^{2} -10x +4x -20[/tex]
I'm not sure if you need to simplify
algebra/algebra 2
The metric unit of force is the Newton (N) , which is kg⋅m/s2 .
Convert 10 kg⋅cm/s2 to Newtons.
1×10−1 N
1×10−2 N
1×10−5 N
1×10−6 N
Answers
Answer:
B
Step-by-step explanation:
If it’s right can you mark me brainliest ty
The conversion of 10 kg⋅cm/s2 in Newton is 1×10−1 N so option (A) will be correct.
What is unit conversion?To convert any unit into another is called a unit conversion.
In order to convert units, we need to care about their dimensions their dimension should not be changed.
For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.
Another example could be kilo gram to gram.
Given the metric unit of force,
10 kg⋅cm/s²
Since,
1 meter = 100 cm ⇒ 1 centimeter = 0.01meter
So,
10 kg⋅cm/s² = 10 kg (0.01)m/s²
10 kg⋅cm/s² = 10 × 0.01 kg m/s²
10 kg⋅cm/s² = 1×10−1 kg m/s²
Since,
kg m/s² = Newton (N)
So,
10 kg⋅cm/s² = 1×10−1 N
Hence "The conversion of 10 kg⋅cm/s2 in Newton is 1×10−1 N ".
To learn more about unit conversion,
brainly.com/question/11543684
#SPJ6
Rob is saving money for a down payment on a house. He opens a savings account at his local bank and deposits $1000. He models his savings plan with the equation y=400x+1000
based on his current income and monthly savings rate. What is the meaning of the y-intercept in the equation?
Answers
Answer:
x=-5/2
Step-by-step explanation
y=0
0=400x=1000 divide both sides
x=-5/2
Answer:
The Answer is D: Starting amount in his savings account
Step-by-step explanation:
The y-intercept represents the starting amount in his savings account.
x = 0 for the y-intercept.
y = 400x + 1000
y = 400(0) + 1000
y = 1000
what is the answer to 36 divided by 48
Answers
Answer:
0.75
Step-by-step explanation:
Answer: 36 = dividend
48 = divisor or if ur doing other way 0.75
Step-by-step explanation:
What is the compound interest when £1200 is invested for 8 years at a rate of 3.2% compound interest p.a.?
Answers
Answer:
the Compound interest is £1,543.90
Step-by-step explanation:
The computation of the compound interest is shown below:
As we know that
Compound interest is
Amount = Principal × (1 + rate of interest)^number of years
= £1,200 × (1 + 0.032)^8
= £1,200 × 1.286582318
= £1,543.90
hence, the Compound interest is £1,543.90
We simply applied the above formula so that the correct value could come
And, the same is to be considered
If three cards are drawn at random from a standard deck of 52 cards, what is the probability that they will all be queens?
Answers
Explanation:
There are 4 queen in a standard deck.
52 cards in total.
The probability of picking a queen is 4/52.
The probability of picking a queen again is 3/51.
The probability of picking another queen is 2/50
P = 4/52 x 3/51 x 2/50
P = 1/13 x 1/17 x 1/25
P = 1/5525
Answer:
0.01809955% or about 0.018%
Step-by-step explanation:
You do the multiplication of 4/52 by 3/51 by 2/50
Lucy has to run two errands. She starts from home and
travels 3 miles south to the post office. From the post
office, she travels 4 miles east to the gas station. Then,
from the gas station, she travels 5 miles to return home.
The entire trip forms a triangle.
What was the smallest angle made in her trip?
Answers
Answer:
My answer is at the gas station. I hope my answer helped.
When Lucy traveled to the post office and then to the gas station the angle was 90 degrees, at the post office. Then when Lucy was traveling back home from the gas station the angle was a 45 degree. So the smallest angle made during her tip was at the gas station.
Step-by-step explanation:
The manager of a clothing store purchased 40 pairs of jeans for $500. She plans to sell each pair of jeans for $19.99. By what percent did she mark up the price?
A.
60%
B.
12.5%
C.
10%
D.
7.5%
Answers
Answer:
60%
Step-by-step explanation:
Formula: Markup Percentage = Selling Price Per Unit - Cost Price Per Unit over Cost price per unit. times 100
$19.99 - 12.5
------------------- times 100
12.5
Follow PEMDAS
7.49 / 12.5 = 0.5592 (100) = 59.92
Round to the nearest whole number. So about 60%
Can sides of a triangle have lengths 3,4,9
Answers
Answer:
yes
Step-by-step explanation:
No, the lengths 3, 4, and 9 cannot form the sides of a triangle.
What is Triangle Inequality?The triangle inequality is a fundamental geometric principle that states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
We have sides as 3, 4 and 9.
For a triangle to be valid, the sum of the lengths of any two sides must be greater than the length of the third side.
In this case, let's check if this condition is satisfied:
3 + 4 = 7
7 is less than 9
Therefore, these lengths do not satisfy the triangle inequality theorem, and a triangle cannot be formed with side lengths 3, 4, and 9.
Learn more about triangle inequality theorem here:
https://brainly.com/question/30956177
#SPJ2