Answers
Answer:
m∠DBC is 43°
Step-by-step explanation:
Let us solve the question
∵ D is in the interior of ∠ABC
→ That means D divides ∠ABC into two angles ABD and DBC
∴ m∠ABD + m∠DBC = m∠ABC
∵ m∠ABD = (3x + 5)°
∵ m∠DBC = (5x - 7)°
∵ m∠ABC = 78°
→ Substitute them in the equation above
∴ 3x + 5 + 5x - 7 = 78
→ Add the like terms in the left side
∵ (3x + 5x) + (5 + -7) = 78
∴ 8x + -2 = 78
∴ 8x - 2 = 78
→ Add 2 to both sides
∴ 8x -2 + 2 = 78 + 2
∴ 8x = 80
→ Divide both sides by 8
∴ x = 10
→ To find m∠DBC, substitute x by 10 in its measure
∵ m∠DBC = 5(10) - 7
∴ m∠DBC = 50 - 7
∴ m∠DBC = 43°
Related Questions
Which of the following is divisible by 3?
Answers
Answer:
108 and 150
Step-by-step explanation:
108/3=36
150/3=50
What is the first term of an AP whose common difference is 2 and 31st term begin -88
Answers
Answer:
a₁ = - 148
Step-by-step explanation:
The n th term of an AP is
[tex]a_{n[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given d = 2 and a₃₁ = - 88 , then
a₁ + (30 × 2) = - 88
a₁ + 60 = - 88 ( subtract 60 from both sides )
a₁ = - 148
a₁ = - 148
Step-by-step explanation:
The n th term of an AP is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given d = 2 and a₃₁ = - 88 , then
a₁ + (30 × 2) = - 88
a₁ + 60 = - 88 ( subtract 60 from both sides )
a₁ = - 148
CAN SOMEONE HELP ME WITH THIS PLEASE!!
Answers
Answer:
B
Step-by-step explanation:
the money increases hourly so A and C are wrong. and it is constant so the answer is B
find value for x please and thank you
Answers
Answer:
x = - 3
Step-by-step explanation:
Given
3(x - 6) + 6 = 5x - 6 ← distribute and simplify left side
3x - 18 + 6 = 5x - 6
3x - 12 = 5x - 6 ( subtract 5x from both sides )
- 2x - 12 = - 6 ( add 12 to both sides )
- 2x = 6 ( divide both sides by - 2 )
x = - 3
Will give brainliest!! Please help!!
Brian is playing a game with the spinner shown below. Each section is the same size.
What is the probability that the arrow will land on a number that is divided by 3 if Brian spins it one time?.
Answers
Help again pls due tonight will give brainlisttt!!! ❤
Answers
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $600 and the daily rate for each partner is $1200. The law firm designated twice as many associates as partners to the case and was able to charge the client $7200 per day for these lawyers' services. Graphically solve a system of equations in order to determine the number of associates assigned to the case,x, and the number partners assigned to the case, y.
what are the two equations in slope intercept form so i can graph them
Answers
Step-by-step explanation:
JOIN MY ZOOM MEETING
ID-9384026088
PASSWORD-1234
Add your CORRECT Please
Answers
Answer:
IQR= (16)−(10)=6
Thus, option 'C' is true.
Step-by-step explanation:
Given the data
8, 9, 9, 10, 12, 12, 13, 14, 15, 15, 15, 16, 18, 19, 20
The interquartile range is equal to the difference between the 75th and the 25th percentiles
The 25th percentile is 10
The 75th percentile is 16
Finally,
IQR= (16)−(10)=6
Thus, option 'C' is true.
Mr. Gonzalez invested $4,200 into an account that earns a simple interest rate of 3% per year.
What is the amount of interest Mr. Gonzalez will earn at the end of one year?
Answers
Answer:
4326
Step-by-step explanation:
4200/100x3=126
4200 + 126=4326
Answer:
b
Step-by-step explanation:
4326
what answer this is ?
Answers
Answer:
A and C
Step-by-step explanation:
If the fraction is negative either the numerator or the denominator can be marked negative and it stays the same
on khan my progress wont go up and i need 50% and i have 44 help please
Answers
Answer:
watch 2 more videos
Step-by-step explanation:
Does 82.45 round up to 83?
Answers
Answer:no it does not
Step-by-step explanation:
In order for it to round up it would have to be 82.5 or higher.
Answer:
No. To round up to 83 the number has to be 82.5 or higher.
HELP ASAP I DONT HAVE TIME AND IT ALSO DETECTS IF ITS RIGHT OR WRONG
Answers
Answer:
24 games can be played for $20
Answer:
20 ≥ 8 + 0.50g
Step-by-step explanation:
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Evaluate this expression, be sure to use the correct order to calculate. 64 ÷ 4^2 *
Answers
Answer:
The correct solution is 4
Step-by-step explanation:
64÷4^2
64÷16
=4
Answer:
4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define Expression
64 ÷ 4²
Step 2: Evaluate
Exponents: 64 ÷ 16Divide: 4Work out the 3rd term of the sequence 3n +5.
a. 11
b. 14
c. 17
Answers
So the answer is 14.
Please help!!!! ASAP
Answers
Answer:
A
Step-by-step explanation:
I just put the first one in desmos to see if it was the same
I WILL GIVE BRAINLIEST IF YOU SOLVE THIS
Answers
Answer:
linear regression: S = 2.3n - 4.2
Step-by-step explanation:
I WILL GIVE BRAINLIEST TO FASTEST AND BEST ANSWER PLS HELp
Answers
Answer:
Unknown
Step-by-step explanation:
dskljgjfhgdiagljhbajfhglvibliahgviyglvaj
Answer:
The tax was too much for me
Step-by-step explanation:
Sorry, Im a noob
dsx
sds
xdscxzxas
x
zszx
What is the domain of this quadratic function?
Answers
Answer: its c
Step-by-step explanation:
its c
Answer:
(-∞,+∞)
Step-by-step explanation:
The function is a continuous quadratic function
10x – 2 – 6x = 3x – 2 + x
A. one solution
B. no solutions
C. infinitely many solutions
Answers
Answer:
C
Step-by-step explanation:
4x-2=4x-2
when u simplify the equations you get 4x-2=4x-2 therefore they are the same line which results in infinitely many solutions.
(pls mark brainliest)
Answer:
there is one solution
Step-by-step explanation:
Pat has a fever.His temperature is 99.3F. If the conversation is Celsius is C=5/9(F-32), what is the most accurate measurement of Pat’s temperature in degrees Celsius?
Answers
Answer:
37.4
Step-by-step explanation:
The most accurate measurement of Pat’s temperature in degrees Celsius is 37.39°.
Given that, Pat has a fever of temperature is 99.3° F.
What is the conversion of Celsius to Fahrenheit?Celsius to Fahrenheit is the conversion of temperature from Celsius unit to Fahrenheit unit. Temperature scales provide a way of measuring how hot or cold a body is. Fahrenheit and Celsius are temperature scales.
The formula to convert Celsius to Fahrenheit is given by: °F = °C × (9/5) + 32.
The formula to convert Fahrenheit to Celsius is C=5/9(F-32)
Now, C= 5/9 (99.3-32)
= 5/9 × 67.3
= 37.39°
Hence, the most accurate measurement of Pat’s temperature in degrees Celsius is 37.39°.
To learn more about the Celsius to Fahrenheit conversion visit:
brainly.com/question/18800757.
#SPJ2
Which one is correct :)
Answers
Answer:
Top Left Again :D
Step-by-step explanation:
yes
Determine the intercepts of the line
Answers
Answer:
x-int: (-40, 0)
y-int: (0, 15)
General Formulas and Concepts:
Algebra I
The x-intercept is the x value when y = 0. Another way to reword that is when the graph crosses the x-axis. The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.Step-by-step explanation:
According to the line on the graph, it passes the x-axis at x = -40 and it passes the y-axis at y = 15.
Therefore, our x-int is (-40, 0) and our y-int is (0, 15)
Under certain conditions the pressure of a gas varies directly with the temperature. When the pressure is 900 psi, the temperature is 350. What is the pressure when the temperature is 70?
Answers
Answer:
180psi
Step-by-step explanation:
Step one:
given data
P1= 900 psi
T1= 350°C
P2=?
T2=70°C
Required
The final pressure P2
Gay-Lussac's Law: The Pressure Temperature Law. This law states that the pressure of a given amount of gas held at constant volume is directly proportional to the Kelvin temperature. With an increase in temperature, the pressure will go up
Applying the expression
P1/T1= P2/T2
substitute:
900/350= P2/70
2.57=P2/70
cross multiply
P2= 2.57*70
P2=180psi
What is the result of subtracting the second equation from the first?
8.x - 4y = -4
-3a + 4y = 5
Answers
onsider the line y=-5+6.
find the equation of the line perpendicular to this line and passes through the point (-2,-3)
find the equation of the is parallel to this line and passes through the point (-2,-3)
Answers
Answer:
The equation of the line perpendicular to the given line is
[tex]y=\frac 1 5 x + \frac {-13}{5}[/tex].
The equation of the line perpendicular to the given line is
[tex]y=-5 x -13[/tex].
Step-by-step explanation:
The given line is y=-5x+6
The slope of the given line, [tex]m_1=-5[/tex]
Let [tex]y= m_2 x + C_2[/tex] be the slope of the line perpendicular to y=-5x+6,
where [tex]C_2[/tex] is constant.
As multiplication of slopes of two perpendicular lines equal to -1, so
[tex]m_1m_2=-1 \\\\\Rightarrow -5\times m_2= -1 \\\\\Rightarrow m_2= \frac {-1}{-5}= \frac 1 5[/tex]
So, the equation of the line perpendicular to the given line is
[tex]y=\frac 1 5 x +C_2[/tex] which passes through the point (-2,-3), so
[tex]-3=\frac 1 5 (-2) +C_2 \\\\\Rightarrow C_2 = -3 +\frac 2 5= \frac {-13}{5}[/tex]
Hence, the equation of the line perpendicular to the given line is
[tex]y=\frac 1 5 x + \frac {-13}{5}[/tex].
Now, let [tex]y=m_3 x +C_3[/tex] be the equation of the parallel line to y=-5x+6.
As the slopes of two parallel lines are the same, so [tex]m_3=-5[/tex].
So, the equation of the parallel line becomes
[tex]y=-5 x +C_3[/tex] which passes through the point (-2,-3), so
[tex]-3=-5 (-2) +C_3 \\\\\Rightarrow C_2 = -3 - 10 = -13[/tex]
Hence, the equation of the line perpendicular to the given line is
[tex]y=-5 x -13[/tex].
Roy weighs 150 pounds and plans to lose 1.5 pounds a week. Luis weighs 200 pounds and plans to lose 2.5 pounds a week. Which equation shows when Roy and Luis will weigh the same? Use x for the number of weeks
150 −1.5x=200−2.5x150 −1.5x=200−2.5x
150 +1.5x=200−2.5x150 +1.5x=200−2.5x
150 +1.5x=200+2.5x150 +1.5x=200+2.5x
Answers
Answer:
A
Step-by-step explanation:
If im wrong im sorry bc the other ones are addition and they said looseing weight i jus picked da 1 dat made sense to meh.
distance between (-4,0) and (2,2)
Answers
Rita runs 3 miles in 25 minutes. At the same rate, how many miles would she run in 20 minutes?
Answers
Answer:
2.4
Step-by-step explanation:
v=3/25
d=3/25 * 20=12/5=2.4
hope this help
Simplify the expression by combining like terms.
15 + 12z– 5z + 4y- 7
Answers
Answer: = 4y + 7z + 8
Answer:
7z+4y+8
Step-by-step explanation:
Collect the like terms so 12z-5z would be 7z, then since there is only 1 y term it would be 4y, and -7 + 15= 8