Answers
Step-by-step explanation:
the inner angle of 2 crossing segment lines is half of the sum of the 2 arc angles.
55 = (arc angle IG + arc angle JH)/2 = (76 + JH)/2
110 = 76 + JH
arc angle JH = 34°
The required arc angle JH measures 34 degrees.
What is a chord?In geometry, a chord is a line segment that connects two points on the circumference of a circle. The two endpoints of the chord lie on the circle, and the chord divides the circle into two segments - the major segment and the minor segment.
Given the problem, we are given that the inner angle measures 55 degrees. Thus, we can set up an equation using the formula and solve for the unknown value.
The equation is given as follows:
55 = (arc angle IG + arc angle JH)/2
We know that the arc angle IG measures 76 degrees, so we can substitute this value into the equation:
55 = (76 + arc angle JH)/2
Multiplying both sides of the equation by 2 yields:
110 = 76 + arc angle JH
Subtracting 76 from both sides of the equation gives:
arc angle JH = 34°
Therefore, the arc angle JH measures 34 degrees.
Learn more about chords here:
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Related Questions
The number 1 is a factor of _________.
A) all odd numbers
B) all even numbers
C) all whole numbers
Answers
Answer:
The number 1 is a factor of C)all whole numbers.
1 is a factor of all whole numbers.
Every single number, including odd numbers and even numbers, is divisible by 1 (evenly, without any remainders)
Remember, whole numbers include odd numbers, even numbers, and 0.
note:-Hope everything is clear; if you need any more explanation and/or clarification, kindly let me know, and I will comment and/or edit my answer.
I need help on my work or I get 0 percent
Answers
Answer:
B and E
Step-by-step explanation:
E is 3/4 8 times (this is just simple multiplication) and B is 3/4 8 times just shorter. Simplified if you will.
if 60% of class is girls, and there are 30 students in the class. How many boys are in class?
Answers
Answer:
12
Step-by-step explanation:
60% of 30 is 18 (girls)
40% of 30 is 12 (boys)
Answer:
12 boys
Step-by-step explanation:
60% is the same as 6/10, and if you make the denominator 30, you must make the denominator multiply by three as well as the numerator. this makes the number 18/30 girls in a class. if you subtract the girls from the total number of people, you get 12 boys, or 40% of the class.
you can also find that 100% - 60% = 40%, which is equal is equal to 4/10. After it's multiplied by 3 again, it becomes 12/30 or 12 boys.
Determine the value of y, if x is -1. y= | x |-4
Answers
The absolute value of -1 is 1
y=1-4
y=-3
which pair of pairs of polygons are congruent.
Answers
Answer:
bottom left. (arrow shaped)
Step-by-step explanation:
congruent shapes are the same size and shape
3(2x + 1) = 7x-2
What is x
Answers
Answer:
x=-5
Step-by-step explanation:
3(2x+1)=7x-2
6x+3=7x-2
6x-7x=-2-3
x=-5
3(2x + 1) = 7x-2
3*2x+3*1=7x-2
6x+3=7x-2
6x-7x=-3-2
-1x=-5
x=5
Rewrite the following without an exponent. (9/5)^-1
Answers
Answer:
5/9
Step-by-step explanation:
What we have here is the reciprocal of (9/5). Inverting (9/5) results in (5/9), which is the desired result.
Find the distance between the two points (1, -4) and (5, 3). Give an exact answer in
terms of a square root.
Answers
Answer:
A lovely answer of : [tex]\sqrt{17}[/tex]
For those of you who use a dark theme : square root of (17)
And a short Explanation:
Use the Pythagorean theorem to find the result
>> The total cost of a pizza and 3 drinks is $19. The price of the pizza is $10 and each drink is the
same price, d.
Which model represents the situation?
10
d
d
d
19
.) What is the price of one drink?
d
?
Answers
Answer:
d = 3
Step-by-step explanation:
According the figure:
10 + d + d + d = 19d = 3Answer Check Below:
⇒ 10 + 3 = 13
⇒ 13 + 3 = 16
⇒ 16 + 3 = 19
Therefore, d = 3.Answer:
$3
Step-by-step explanation:
⇒ 10 + 3d = 19 is represented by the figure⇒ 3d = 9⇒ d = 3The price of one drink is $3Answer both Question 11 and 12. I will make Brainelist + 50 points
Answers
Answer:
#11. i) 5, ii) 6, iii) - 4, iv) 6#12- see belowStep-by-step explanation:
#11Given equation for sum of the first n terms
[tex]S_n=7n-2n^2[/tex]Using the equation solve the following
i)The first term [tex]t_1[/tex], is same as the sum of the first 1 term, so n = 1
[tex]t_1=S_1=7(1)-2(1)^2=7-2=5[/tex]ii)Sum of the first 2 terms, when n = 2
[tex]S_2=7(2)-2(2)^2=14-8=6[/tex]iii)Common difference is the difference between two consequitive terms.
First, find the second term:
[tex]t_2=S_2-t_1=6-5=1[/tex]Now find the difference between the first two terms:
[tex]d=t_2-t_1=1-5=-4[/tex]iv)We need to find such n that [tex]S_n[/tex] = - 30
[tex]7n - 2n^2=-30[/tex][tex]2n^2 - 7n-30=0[/tex][tex]2n^2-12n+5n-30=0[/tex][tex]2n(n-6)+5(n-6)=0[/tex][tex](n-6)(2n+5)=0[/tex][tex]n=6[/tex] is the only positive rootSo the answer is 6
#12Simplifying in steps as below
a) i)[tex]\dfrac{5}{y-3} +\dfrac{2}{3-y}=[/tex][tex]\dfrac{5}{y-3}-\dfrac{2}{y-3}=[/tex][tex]\dfrac{5-2}{y-3}=[/tex][tex]\dfrac{3}{y-3}[/tex]ii)[tex]\cfrac{1}{m+3} +\cfrac{2m}{m^2-9} =[/tex][tex]\cfrac{1}{m+3} +\cfrac{2m}{(m-3)(m+3)} =[/tex][tex]\cfrac{m-3}{(m-3)(m+3)}+\cfrac{2m}{(m-3)(m+3)} =[/tex][tex]\cfrac{m-3+2m}{(m-3)(m+3)} =[/tex][tex]\cfrac{3m-3}{(m-3)(m+3)}[/tex]100 Points ! ! !
Exploiting points will be reported.
Brain deposited $9,824 into a savings account for which interest is compounded daily at a rate of 3.62%. How much interest will he earn after 8 years?
SHOW WORK AND WILL GIVE BRAINLIST
Answers
$3299.62
compounded daily interest : [tex]\sf A = P(1 + \dfrac{r}{n})^{nt}[/tex][tex]\sf 9,824.00(1 + \dfrac{3.62\%}{365})^{(365)(8)}[/tex][tex]\sf \$13,123.62[/tex]
total money he will have : $13,123.62
amount earned : $13,123.62 - $9,824 = $3299.62Answer:
Interest = $3,299.64 (nearest cent)
Step-by-step explanation:
Compound interest formula: [tex]\sf I=P(1+\frac{r}{n})^{nt}-P[/tex]
where:
I = total interest earned over time periodP = initial principal balancer = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $9,824r = 3.62% = 0.0362n = 365t = 8 yearsSubstituting given values into the formula and solving for I:
[tex]\sf \implies I=9824(1+\frac{0.0362}{365})^{365 \times8}-9824[/tex]
[tex]\sf \implies I=13123.62461-9824[/tex]
[tex]\sf \implies I=3299.62 \ (nearest \ hundredth)[/tex]
can someone solve what is n/n^3
Answers
Answer:
Alex = No B.
Step-by-step explanation:
1) Use Quotient Rule: [tex]\frac{x^{a} }{x^{b} } =x^{a-b}[/tex]
[tex]n^{1-3}[/tex]
2) Simplify 1 - 3 = 2
[tex]n^{-2}[/tex]
3) Use Negative Power Rule: [tex]x^{-a} =\frac{1}{x^{a} }[/tex]
[tex]\frac{1}{n^{2} }[/tex]
HELP!!
what is 23x+(4-5b)
Answers
Answer:
just remove the bracket and write normally so it's 23x+4-5b
Step-by-step explanation:
if you meant something else then let me know
SOMEONE PLSSSSSS HELP ME SOLVE THIS FAST
I WILL MARK BRAINLIEST
Answers
Answer:
D
Step-by-step explanation:
I calculated the area for 54 feet and then for 0.5 feet using the equation [tex]A=\sqrt{\frac{3}{4} }a^{2}[/tex] , where a is the size and then divided first area by second area
Write the product as a product of a whole number and a unit fraction
3 * 3/8
Answers
Answer:
9/8 or 1 1/8
Step-by-step explanation:
3*3/8
3/1*3/8
numerator times numerator and denominator times denominator:
3×3/1*8 = 9/8 or 1 1/8
Please solve the first three question with explanation
Answers
Answer:
first one is b, second one is c
Step-by-step explanation:
3-4x<=11
-4x<=11-3
-4x<=8/:(-4)
x>=-2
pieces of chalk are stacked in a pile. part of the pile is shown. the bottom row has 15 pieces of chalk, and the top row has 6 pieces of chalk. each row has on less piece of chalk than the row below it. how many pieces of chalk are in the pile?
Answers
How to be good at math???
Answers
Answer:
Step-by-step explanation:
To get good at math is to pay attention to the formulas and quiz yourself with what ever your learning over and over until you get it.
I think the best place to start would be algebra, I’ve used it in every math class since passing, and it would actually be useful in the real world.
Khan academy is one of the best resources available, they have videos on pretty much any math topic.
You watch a video, then do a few practice problems, and if you need help with the problems there’s a button that shows you the entire problem solving process. You can review and practice as much as you need, and then at the end of each topic they have a practice quiz.
Besides that I think math homework is a great way to get better. If you make mistakes on the homework you will loose less points than if you make mistakes on the test/quiz. Also, going over your mistakes is key.
If you haven’t had any good math teachers it can be very hard to learn these topics, but take it at your own pace.
With math you have to understand before you move on, or else it’s like trying to read words without knowing the alphabet.
Keep practicing, you can do it!
255, 250, 245, ...
Find the 40th term.
Answers
Answer:
so here we minus 5 from 255 to get to 250 and we do it again to get to 245. for reaching the 40th term we should do it 39 times.
so, 255+ (-5) (39) = 255 - 195 = 60
which is our 40th term.
The 40th term of (255, 250, 245...) is 60.
What is arithmetic progression ?The difference between any two successive integers in an arithmetic progression (AP) sequence of numbers is always the same amount. It also goes by the name Arithmetic Sequence. For instance, the natural number sequence 1, 2, 3, 4, 5, 6,... is an example of an arithmetic progression. It has a common difference of 1 between two succeeding terms (let's say 1 and 2). (2 -1). We can see that the common difference between two subsequent words will be equal to 2 in both the case of odd and even numbers.There are three distinct progression kinds. As follows:Mathematical Progress (AP)Graphical Progress (GP)Rhythmic Progress (HP)It is feasible to find a formula for the nth term for a certain kind of sequence called a progression. The most popular mathematical progression, with simple formulas, is the arithmetic progression.Calculations :
The formula to find the nth term = [tex]a_{n}[/tex] = -5n + 260
= [tex]a_{40}[/tex] x 5n = 260
= 260 - 200 = 60
Learn more about Arithmetic progression refer :
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Which expressions are equivalent to 10/10^3/4?
Answers
[tex] \frac{10}{10 {}^{ \frac{3}{4} } } = 10 {}^{1 - \frac{3}{4} } = 10 { }^{ \frac{4 - 3}{4} } [/tex]
[tex]10 {}^{ \frac{ 1}{4} } [/tex]
Answer: B and D
Step-by-step explanation:
Edge 2023
Evan walked 2 1/8 miles to his aunts house. He has already walked 6/8 mile. How much farther does Evan have to go?
Answers
Rewrite 2 1/8 as 17/8
Now subtract:
17/8 - 6/8 = 11/8 = 1 3/8
answer : 1 3/8 miles left
Need help picture below
Answers
find measure of the missing angles and justify your answer with postulates and theorems.
Answers
Answer:
Step-by-step explanation:
Please help me with this!!
Answers
Answer:
A, B, D, F
Step-by-step explanation:
Given expression: [tex]8^{\frac23}[/tex]
Apply exponent rule [tex]a^{bc}=(a^b)^c[/tex]
[tex]\implies 8^{\frac23}=(8^2)^{\frac13}[/tex]
Apply exponent rule [tex]a^{\frac{1}{n}}=\sqrt[n]{a}[/tex]
[tex]\implies (8^2)^{\frac13}=\sqrt[3]{8^2}[/tex]
Therefore, option A
Apply exponent rule [tex]a^{bc}=(a^b)^c[/tex]
[tex]\implies 8^{\frac23}=(8^{\frac13})^2[/tex]
Apply exponent rule [tex]a^{\frac{1}{n}}=\sqrt[n]{a}[/tex]
[tex]\implies (8^{\frac13})^2=(\sqrt[3]{8})^2[/tex]
Therefore, option B
Apply exponent rule [tex]a^{bc}=(a^b)^c[/tex]
[tex]\implies 8^{\frac23}=(8^{\frac13})^2[/tex]
As [tex]8^{\frac13}=2[/tex]
[tex]\implies (8^{\frac13})^2=2^2[/tex]
Therefore, option D
Apply exponent rule [tex]a^{bc}=(a^b)^c[/tex]
[tex]\implies 8^{\frac23}=(8^{\frac13})^2[/tex]
As [tex]8^{\frac13}=2[/tex]
[tex]\implies (8^{\frac13})^2=2^2[/tex]
[tex]\implies 2^2=4[/tex]
Therefore, option F
The cards below have a mean of 25. What is the missing number?: ? 19, 22, 31
Answers
Answer: Its 28.
Step-by-step explanation:
The missing number in the card s 28
How to determine the missing number?Represent the missing number with x.
So, we have:
x, 19, 22 and 31
The mean of a dataset is:
Mean = Sum/Count
So, we have:
25 = (x + 19 + 22 + 31)/4
Multiply both sides by 4
100 = x + 19 + 22 + 31
Evaluate the sum
100 = x + 72
Subtract 72 from both sides
x = 28
Hence, the missing number is 28
Read more about mean at:
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convert 5'5 into meters
Answers
It will be around 1.6metres
hope it helps
Answer:
1.65 meters
Step-by-step explanation:
1 ft = 0.3048 meters
just multiply
A number w minus 3 is less than or equals to 10
Answers
Answer:
Step-by-step explanation:
A number w minus 3 (w - 3) is less than or equal (≤) to 10
w - 3 ≤ 10
+ 3 + 3
w ≤ 13
Hope this helps!
how many one third cup servings are in 16 cups
Answers
Jackie wants to meet up with her friend who lives 3 miles away and bring him the cookies she baked. she and her friend start moving toward each other at the same time. Jackie's walking speed is 3mph, and her friend's biking speed is 12mph. 4 minutes after Jackie left the house, her mom notices that she forgot the cookies on the kitchen table. She sends Jackie's brother to bring them to Jackie. How fast should Jackie's brother travel to catch up with Jackie before she meets her friend?
Answers
Answer:
First, find the time when Jackie and her friend meet.
Using:
[tex]\sf s=ut+\dfrac12at^2[/tex]
where:
s = displacementu = initial velocitya = accelerationt = time (in hours)Jackie and her friend are not accelerating, so a = 0, which means the formula can be reduced to:
[tex]\sf s=ut[/tex]
Create equations
Jackie: [tex]\sf s_1= 3t[/tex]
Friend: [tex]\sf s_2 = 12t[/tex]
As the distance covered by Jackie and her friend at the time they meet equals 3 miles:
[tex]\sf s_1+s_2=3 \ miles[/tex]
[tex]\sf \implies 3t + 12t = 3[/tex]
[tex]\sf \implies 15t = 3[/tex]
[tex]\sf \implies t = 0.2 \ hr[/tex]
[tex]\sf \implies t=0.2 \times 60=12 \ mins[/tex]
Therefore, they meet 12 mins after they both start moving.
3 mph = 3 ÷ 60 = 0.05 miles per min
12 mph = 12 ÷ 60 = 0.2 miles per min
Therefore,
Jackie traveled: 0.05 x 12 = 0.6 miles
Her friend traveled: 0.2 x 12 = 2.4 miles
when they meet.
To find the speed Jackie's brother must walk to catch up with her at the same time she meets her friend, use s = 0.6 miles (as this is the distance Jackie walked) and t = 12 - 4 = 8 mins (since he left 4 mins after Jackie left):
[tex]\sf s=ut[/tex]
[tex]\sf \implies u = \dfrac{s}{t}[/tex]
[tex]\implies \sf u = \dfrac{0.6}{8}[/tex]
[tex]\implies \sf u = 0.075 \ miles \ per \ min[/tex]
[tex]\sf \implies u = 0.075 \times 60 = 4.5 \ mph[/tex]
So Jackie's brother needs to walk faster than 4.5 mph to catch up with Jackie before she meets her friend.
(If he walks at 4.5 mph, he will catch up to Jackie at the instant she meets her friend. If he walks slower than 4.5 mph, he will not catch up with Jackie before she meets her friend).
Part A: Given sine of theta is equal to radical 3 over 2 comma determine three possible angles θ on the domain [0,∞).
Part B: Given θ = 675°, convert the value of θ to radians and find sec θ.
(Picture below is equation stated in Part A)
Answers
Answer:
A. {60°, 120°, 420°}
B. θ = 15π/4; sec(θ) = √2
Step-by-step explanation:
A.The sine function is periodic with period 360°, and it is symmetrical about the line θ = 90°. The reference angle for the given value of sin(θ) is ...
θ = arcsin(√3/2) = 60°
The next larger angle with the same sine is (2×90°) -60° = 120°. Any multiple of 360° added to either one of these angles will give an angle with the same sine. A possible set of 3 angles is ...
{60°, 120°, 420°}
__
B.One degree is π/180 radians, so the given angle in radians is ...
θ = 675° = 675(π/180) radians = 15π/4 radians
This angle has the same trig function values as 7π4, a 4th-quadrant angle with a reference angle of π/4, or 45° The secant of that angle is
sec(45°) = √2
The 4th-quadrant angle has the same sign, so ...
sec(675°) = sec(15π/4) = √2