In circle J with mZHLK = 18, find the mZHJK.
Answer:
The measure of angle HJK is 36°
Step-by-step explanation:
In a circle, the measure of the inscribed angle equal half the measure of the central angle subtended by the same arc
In circle J
∵ J is the center of the circle
∵ H and K lie on the circle
∴ ∠HJK is a central angle subtended by arc HK
∵ L lies on the circle
∴ ∠HLK is an inscribed angle subtended by arc HK
→ By using the rule above
∵ ∠HJK and ∠HLK are the central angle and inscribed angle
subtended by the same arc HK
∴ m∠HLK = [tex]\frac{1}{2}[/tex] m∠HJK
∵ m∠HLK = 18°
∴ 18 = [tex]\frac{1}{2}[/tex] m∠HJK
→ Multiply both sides by 2
∴ 36 = m∠HJK
∴ The measure of angle HJK is 36°
Find the values of x and y that satisfy the equation –21 + 5yi = 7x – 10i.
Answer:
The values of x and y are x = -3 and y = -2
Step-by-step explanation:
In the complex numbers if a + bi = c + di, then the real parts are equal and the imaginary parts are equal
a = cb = dLet us use this rule to solve the question
∵ -21 + 5yi = 7x - 10i
∴ The real parts are -21 and 7x
∴ The imaginary parts are 5y and -10
∵ The real parts are equal
∴ 7x = -21
→ Divide both sides by 7
∴ [tex]\frac{7x}{7}[/tex] = [tex]\frac{-21}{7}[/tex]
∴ x = -3
∵ The imaginary parts are equal
∴ 5y = -10
→ Divide both sides by 5
∴ [tex]\frac{5y}{5}[/tex] = [tex]\frac{-10}{5}[/tex]
∴ y = -2
∴ The values of x and y are x = -3 and y = -2
If f(x) = 3x, what is f(8)
Answer:
Step-by-step explanation:
Replace 8 for x.
3(8)= 24
Answer:
f(8) = 24
Step-by-step explanation:
To evaluate f(8) , substitute x = 8 into f(x) , that is
f(8) = 3(8) = 24
Convert the following into slope-intercept form. 3x+4y=-16
Answer:
y = -3/4x -4
Step-by-step explanation:
3x+4y=-16
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
Subtract 3x from each side
3x -3x+4y=-3x-16
4y = -3x-16
Divide each side by 4
4y/4 = -3x/4 - 16/4
y = -3/4x -4
Answer:
y= -3/4x - 4
Step-by-step explanation:
3x+4y=-16
4y= -3x-16
y= -3/4x -4
Hope This Helps!
Find the solution set for this inequality below. -3x – 4 > 8x + 7
Answer:
X=0.6
Hope u get it right!
Answer:
X=0.6
Step-by-step explanation:
I think that is the answer
The temperature is -3 °C at 6 a.m. and rises 12 °C by midday.
What is the temperature at midday?
Answer:
9 C at midday
Step-by-step explanation:
Answer: 15
Step-by-step explanation:
the works man family car travles 165 miles over 3 hours. Their cousins family car travles 150 miles over 2 hours. If the family reunion is 900 miles away for both familys and asuming both familys continue at the same rate who will arive first? what is the speed of each family?
Thank you so much
Answer:
see answers down below
Step-by-step explanation:
The works man family is driving at a speed of 55 miles per hour
Their cousins family drives at 75 miles and hour. (use the miles/hours ratio like I told you in the last answer)
900 miles/75 miles traveled by their cousins each hour equals 12 hours.
If the works man family is driving at 55 miles and hour, 900 miles needed to be traveled/ 55 miles an hour equals 16.3636363636. This is more than 12 hours, and that means that their cousins will arrive first. Hope this helps!
Question is in the image
Answer:
B. x+4y=16
Step-by-step explanation:
y=-1/4 x +4
4y=-x+16
x+4y=16
23 degrees below 0, what is the answer please help
Answer:
-23
Step-by-step explanation:
23 degrees below 0 is 0-23, or -23
Hope this helps plz mark brainliest :D
Answer:
-23 degrees
Step-by-step explanation:
If it is below 0, that means it is in the negative numbers
9.45 x 10^-5 In standard form
Josiah skateboards from his house to school 3 miles away. It takes home 36 minutes. If Josiah’s speed, in miles per minute, is constant, what is the constant of proportionality?
c constant of proportionality is 12
Step-by-step explanation:
36÷3= 12
9-(6x+1)=3x+8 please help me with this I don’t know how to solve it.
Answer: 0
Step-by-step explanation: You isolate the variable by dividing each side by factors that don't contain the variable.
Answer: x = 0
Step-by-step explanation:
9-(6x+1) = 3x + 8
9 - 6x -1 = 3x + 8
8 -6x = 3x + 8
+6x +6x
8 = 9x + 8
-8 -8
0 = 9x
/9 . /9
x =0
What is the area of the regular trapezoid below?
64 Centimeters squared
80 Centimeters squared
240 Centimeters squared
480 Centimeters squared
Which expression is equivalent to 5 – 6
A. -5+ (-6)
B. 5 -(-6)
C. 6 - 5
D. - 6+5
An office manager buys 34 chairs for the new office. Each chair costs $205.
What is the total amount the office manager pays for chairs? Enter your answer in the box.
please help plzzzzzzzzzzzz
Answer:
6,970
Step-by-step explanation:
What is the equation of the line that passes through the point (-6, 1) and has a slope of -3/2?
Answer:
y=-3/2x-8
Step-by-step explanation:
Select the correct answer.
After four years of college, Erica has to start paying off all her student loans. Her first payment is due at the end of this month. Her bank told her
that she has 10 years to pay off all of her loans, and that starting this month the loans will be compounded monthly at a fixed annual rate of
9.4%.
Erica currently has a total of $29.158.00 in student loans. Using the formula, what is Erica's approximate monthly payment?
Fpli)
P =
1- (1 + i)-
ОА
OB
Erica's approximate monthly payment will be $370.39.
Erica's approximate monthly payment will be $254.94.
Erica's approximate monthly payment will be $375.70.
Erica's approximate monthly payment will be $2.740.10.
Oc.
D.
Answer:
its $375.70
Step-by-step explanation:
i guessed and got it right. good luck guys. love u. remeber to eat n drink water and try to spend some time outside if you can! i know its hard rn but we can do it! im proud of u all
The value of Erica's approximate monthly payment is $375.70. The correct option is C .
What is the meaning of Rate of Interest ?Rate of Interest is the rate at which a loan is borrowed or the rate at which an investment gives return .
It is given that
Student Loan Total = $29,158
Rate of Interest = 9.4 %
Time Period = 10 years
The monthly payment is given by
[tex]\rm \dfrac{F p(i) }{ ( 1 - ( 1 + i )^{-n})}[/tex]
Substituting the values in the equation
[tex]\rm = \dfrac{29158* (0.094/12) }{ ( 1 - ( 1 + (0.094/12) )^{-12*10})}[/tex]
= $ 375.70
Therefore,The value of Erica's approximate monthly payment is $375.70. The correct option is C.
To know more about Rate of Interest
https://brainly.com/question/14445709
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Solve the inequalities by graphing. Identify the graph that shows the following equations.
y > 2x
Y < 3
okay i have two 'true or false' questions from algebra 1:
1.) "A dotted line is ordered pairs that make the equation/inequality true. True or false?"
2.) "When you have a solid line, any point in the shaded region or on the line will make the inequality true. True or false?"
moya picked 3 dozen apples she wents to share her apes in equal groups. show how many different way can she do this
help!! part b please!!
Answer:
L = 0.5
as from the question, the formula is T = 1/L^3
therefore, T = 1/L
T = 1/0.5
T = 0.2
Hope it helped u, pls put thanks and mark as the brainliest ^_^
[tex]t \alpha \frac{1}{ {l}^{3} } [/tex]
[tex]t = k \times \frac{1}{ {l}^{3} } [/tex]
[tex]t = 1 \times \frac{1}{ {l}^{3} } [/tex]
[tex]t = 1 \times \frac{1}{ {0.5}^{3} } \\ [/tex]
t =8
Which statement is true for the equation 4x − 4x − 5 = −5?
A. It has no solution.
B. It has one solution.
C. It has two solutions.
D. t has infinitely many solutions.
Answer:
Step-by-step explanation:
It would have no solution. Every time x is something, the 4x-4x will cancel each other out leaving the -5=-5
The information is in the picture
Answer:
B is correct option that helps
Give the slope and intercept of the following line.
Y + 3 = -2X
Answer:
slope=-2 y intercept=3
Step-by-step explanation:
subtract the 3 from both sides to get to the y=mx+b state and solve using that
m=slope b=y intercept
please help me!! PLEASE HELP ME!! please
b
Step-by-step explanation:
because it is a function
What is the value x ?
Answer:
x= 62
Step-by-step explanation:
The value of a triangle is 180 degrees.
68.5+49.5= 118
180-118= 62 degrees
what is the quotient?
Answer:
C. (3 - x)/(x + 3)
Step-by-step explanation:
after simplifying, the answer is letter C
i would appreciate brainliest, have an amazing day
Rahima goes jogging on a course that is 2.75kilometers long. If she completes the full course every morning, how many kilometers does she jog in
one week? Explain how you got your answer.
Answer:
19.25kmStep-by-step explanation:
Step one:
given data
we are told that the distance that Rahima covers on a daily is 2.75km long
we also know that a week has 7 days that is Mon-Sunday
Required
the total distance for a week
Step two:
Hence the total distance covered for 7 days is
=2.75*7
=19.25km
Simply multiply the distance covered in a day by 7 to get the distance covered in a week
Answer:
why would i go jogging on a course that is 2.75kilometers long. XD
Step-by-step explanation:
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
1/2
Step-by-step explanation:
Slope is rise/run, so:
how far up you go/ how far right you go
If you start at (0, 5), What do you have to do to get to the next point?
You go up one unit, then right 2.
1/2.
The slope is 1/2
Answer:
1/2 the other person is right
4879 divided by 200 as a mixed number
Answer:
Step-by-step explanation:
4879/200
is already in the simplest form. It can be written as 24.395 in decimal form.
then : 24 + 0.395
0.395 * 1000 79
_____ ____ = __
1 1000 200
then : 24 + 79 / 200
answer: 79
24--------
200
