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:
https://brainly.com/question/30009947
#SPJ2
The Adventure Zone amusement park asked all of their employees who attend college how many hours of
homework they had per week and determined that they had an average of 24 hours of homework per
week.
Based on this data, which of the following conclusions are valid?
Choose 1 answer:
24% of all of the amusement park employees who attend school have homework each week.
24% of all of the amusement park employees who attend college have homework each week.
The amusement park employees who attend college have an average of 24 hours of
homework per week, but we cannot conclude anything about the percent of the population
who have homework.
The amusement park employees who attend college have an average of 24 hours of homework per week, but we cannot conclude anything about the percent of the population who have homework.
What is the valid conclusion?The survey was to determine the average number of hours per week for employees that attended college. The result was that college students had an average of 24 hours of homework per week.
To learn more about surveys, please check: https://brainly.com/question/18521835
Answer:
the last
answer
Step-by-step explanation:
Three and one fifth of 1 1/2 is what number?
Answer:
10 6/25
Step-by-step explanation:
"three and one fifth" symbolically is 3 1/5 or 3.2 or 16/5.
Then "three and one fifth" of 1 1/2 is:
3.2*3.2 = 10.24 or 10 24/100 or 10 6/25 or 256/25
Write the percent as a decimal.
78% =
Answer:
.78
Step-by-step explanation:
i belive its .78 as you can multiply any given number by both and get the same answer
Sketch a graph of − 3 x − y = − 4
Answer:
Step-by-step explanation:
the table shows the letter grades in science class for a random sample of 300 sixth grade students. Find the relative frequency for each letter grade to complete the table. Use pencil and paper. What additional information does the relative frequency give that the frequency doesn't? Explain.
Answer:
0.12,0.16,0.37,0.2,0.15
Step-by-step explanation:
A. 36 divided by 300 = 0.12
B. 49 divided by 300 = 0.16
C. 111 divided by 300 = 0.37
D. 60 divided by 300 = 0.2
F. 44 divided by 300 = 0.15
The largest possible sum, less than 10, of two consecutive prime number is
Answer:
8
Step-by-step explanation:
Primes below 10 are 1,2,3,5,7
the two consecutive primes that would add up less than 10 would be 3 and 5. 3+5 = 8
There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting at least 1 blue?
The probability of getting at least 1 blue is 6/11
Let me know if you want an explanation :)
Latoya just bought a refrigerator for $931. She paid $139.80 in a down payment and will pay the rest in 4 equal installments. How much does she need to pay for each installment?
Answer:
$197.80
Step-by-step explanation:
$931.00 - $139.80 = $791.20
$791.20 / 4 equal installments = $197.80
Find the area of the 2.5 m circle using 3.14 or 2/7 four pi
Answer:
Formula for area of circle;
A = π[tex]r^{2}[/tex]
Where 'π' represents pi (22/7 or 3.14), and 'r' is the radius which is being squared.
Plug in your values:-
A = π[tex]r^{2}[/tex]
A = 3.14(2.5^2)
A = 3.14(6.25)
A = 19.625 meters is your answer.
Which of the following expressions are equivalent to 6 + (-4) - 56+(−4)−56, plus, left parenthesis, minus, 4, right parenthesis, minus, 5?
Choose 2 answers:
Choose 2 answers:
(Choice A)
A
-(-6+4)-5−(−6+4)−5minus left parenthesis, minus, 6, plus, 4, right parenthesis, minus, 5
(Choice B)
B
6-4-(-5)6−4−(−5)6, minus, 4, minus, left parenthesis, minus, 5, right parenthesis
(Choice C)
C
6-(4+5)6−(4+5)6, minus, left parenthesis, 4, plus, 5, right parenthesis
(Choice D)
D
6+4-56+4−56, plus, 4, minus, 5
(Choice E)
E
-(-6)+(-4)-(-5)−(−6)+(−4)−(−5)
Answer:
Step-by-step explanation:
−5+6−4
and
−4+(−5)+6
what is the angle measure of an arc bounding sector with an area of 5pie square miles?
if the diameter is 20, the its radius must be half that or 10.
[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ A=5\pi \\ r=10 \end{cases}\implies \begin{array}{llll} 5\pi =\cfrac{\theta \pi (10)^2}{360}\implies 5\pi =\cfrac{5\pi \theta }{18} \\\\\\ \cfrac{5\pi }{5\pi }=\cfrac{\theta }{18}\implies 1=\cfrac{\theta }{18}\implies 18=\theta \end{array}[/tex]
An investor just purchased a rectangular 1-acre retail lot for $250 a frontage foot. If she paid $100,000 total, what was the depth of the lot?
what is the area of the triangle
Answer:
Use this to answer your question :)
Step-by-step explanation:
The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h.
Answer:
54 units²
Step-by-step explanation:
Formula we use,
→ Area = ½ × b × h
Now the area of the triangle is,
→ ½ × b × h
→ ½ × 18 × 6
→ 9 × 6
→ 54 units²
Hence, the area is 54 units².
Frank ate 2/8 of the apple pie and
Jose at 3/8 of the cherry pie. How
much pie did Frank and Jose eat
altogether?
Answer:
answer 5/8 because 2/8 + 3/8= 5/8
If 10 mm = 1 cm, how many millimeters are in 22 centimeters?
Group of answer choices
Answer:
220 millimeters
Step-by-step explanation:
If you take 22 cm * 10mm/1cm you get 220 mm
Please rate!
Triangle ABC is isosceles.
Triangle A B C is shown. The lengths of sides A C and A B are congruent. Angle C A B is (x + 5) degrees. Angle A B C is (3 x) degrees.
What is the measure of angle C?
25°
30°
60°
75°
Answer: 75⁰°
Answer: 75⁰°Step-by-step explanation:
Answer: 75⁰°Step-by-step explanation:Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:
Answer: 75⁰°Step-by-step explanation:Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:x + 5+ 3x + 3x = 180
Answer: 75⁰°Step-by-step explanation:Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:x + 5+ 3x + 3x = 180simplify
Answer: 75⁰°Step-by-step explanation:Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:x + 5+ 3x + 3x = 180simplify7x + 5 = 180
Answer: 75⁰°Step-by-step explanation:Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:x + 5+ 3x + 3x = 180simplify7x + 5 = 180subtract 5 from both sides
Answer: 75⁰°Step-by-step explanation:Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:x + 5+ 3x + 3x = 180simplify7x + 5 = 180subtract 5 from both sides7x = 175
Answer: 75⁰°Step-by-step explanation:Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:x + 5+ 3x + 3x = 180simplify7x + 5 = 180subtract 5 from both sides7x = 175divide each side by 7
Answer: 75⁰°Step-by-step explanation:Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:x + 5+ 3x + 3x = 180simplify7x + 5 = 180subtract 5 from both sides7x = 175divide each side by 7x = 25
Answer: 75⁰°Step-by-step explanation:Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:x + 5+ 3x + 3x = 180simplify7x + 5 = 180subtract 5 from both sides7x = 175divide each side by 7x = 25plug 25 in for x to find the angle measure
Answer: 75⁰°Step-by-step explanation:Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:x + 5+ 3x + 3x = 180simplify7x + 5 = 180subtract 5 from both sides7x = 175divide each side by 7x = 25plug 25 in for x to find the angle measure3(25) = 75
40 Points !!!!
Find the slope of line e.
a. -1/2
b. 1/2
c. -2
d. 2
What's the value of X in the figure
145 (degrees) X (2x + 15)
Answer:
x=65°
Step-by-step explanation:
2x + 15= 145
2x+15-15=145-15 (Subtract)
2x=130 (Simplify)
2x/2=130/2 (Divide)
x=65 ← (Answer)
^^
。☆✼★━━━━━ ( ~ ) ━━━━━━━★✼☆。
Solve and will mark brainliest
Answer:
24 degrees
Step-by-step explanation:
24 degrees because
angle a is 24 degrees
and since its the middles and main angle
24 degrees is the answer
You spent $24 more than Pam. If you spent $82, how much money did Pam spend?Write and solve an equation.
Answer:
58
Step-by-step explanation:
its basically saying that pam spent 24 dollars less than you. soo 82 - 24 = 58
Lee watches TV for 4 hours per day. During that time, the TV consumes 150 watts per hour. Electricity costs (10 cents)/(1 kilowatt-hour). How much does Lee's TV cost to operate for a month of 30 days?
Step-by-step explanation:
1 kilowatt=1000 watt
tv watch time=4*30=120
the watt tv consume=120*150=18000
the kilowatt tv consume=18000/1000=18
electricity cost =10*18
180 cents
SOLVE THE INEQUALITY FOR X - 27 < 12
Answer:
x < 39
Step-by-step explanation:
x - 27 < 12
Add 27 to both sides.
x - 27 + 27 < 12 + 27
x < 39
[tex]\qquad\qquad\huge\underline{{\sf Answer☂}}[/tex]
Let's solve the inequality ~
[tex]\qquad \sf \dashrightarrow \: x - 27 < 12[/tex]
[tex]\qquad \sf \dashrightarrow \: x < 12 + 27[/tex]
[tex]\qquad \sf \dashrightarrow \: x < 39[/tex]
What are the solutions to the system of equations graphed below?
A. (-2, 0) and (6,0)
B. (-3, -3) and (0,6 )
C. (-3,3) and (6,0)
D. (-2,0) and (2,0)
Answer:
looking at the straight line, it touches the axis at (-2,0) and (6,0)
Step-by-step explanation:
Help picture below problem 12
Answer:
80 degrees
Step-by-step explanation:
This is a really confusing question with a really confusing answer. Basically, the 80 degree angle that they give us (Angle 2, I think) is equivalent to Angle 4, Angle 5, and Angle 3. I know that might seem really weird, but if you look closely at all the angles I just named, they all look like they are about the same measure. They are all slightly less than a right angle (90 degrees) and none of them are obtuse angles- they're all acute. Basically, the answer is 80.
And if I'm wrong, I am so sorry! I still sometimes get confused on these type of questions. Well, I hope its right and I hope that if it is, it was helpful! Have a lovely day!! :)
A card is drawn at random from a standard deck of playing cards (no jokers). If the card is a spade, the player wins $7; if it is not a spade, the player loses $1.
What is the expected value of this game? $________________
The expected value of the game is the mean value of the game
The expected value of the game is $1
How to determine the expected value?There are 13 spades in a deck of card of 52
So, the probability of selecting a spade is:
P(Spade) = 13/52
Simplify
P(Spade) = 1/4
Winning = $7
The probability of not selecting a spade is:
P(Not spade) = 1 - 1/4
Simplify
P(Not spade) = 3/4
Lose = $1
The expected value of the game is:
[tex]E(x) = \sum x * P(x)[/tex]
This gives
[tex]E(x) = \frac 14 * 7 - 1 * \frac34[/tex]
Simplify
[tex]E(x) = \frac 74 - \frac34[/tex]
Evaluate
[tex]E(x) = 1[/tex]
Hence, the expected value of the game is $1
Read more about expected values at:
https://brainly.com/question/15858152
Subtract 55 from the sum of 234 and 8
Work out the length of x.
Give your answer rounded to 3 significant figures.
х
16.5 mm
6.6 mm
Answer:
x=17.771mm
Step-by-step explanation:
given a right triangle
to find vslue of x
solution (perpendicular) ² + (base) ² =(hypotenus) ²
using pythagorus theorem
(16.5)²+(6.6)²=(x)²
272.25+43.56=(x)²
315.81=(x)²
√315.81=x
x=17.771mm
Answer:
By Pythagoras theorem
H^2=P^2+B^2
x^2=(6.6)^2+(16.5)^2
x^2=43.56+272.25
x^2=315.81
x=√315.81
x=17.771mm
Kevin uses 36 ounces of dried apples and 18 ounces of
dried cranberries to make a fruit snack. He plans to sell the snack in 1\2
containers. How may containers will he fill? Will any fruit snack be left over?
Answer:
6 containers
6 ounces of fruit snack will be left over
Step-by-step explanation:
1 pound = 16 ounces
⇒ ¹/₂ pound = 8 ounces
Total weight = weight of dried apples + weight of dried cranberries
= 36 + 18
= 54 ounces
Containers needed = total weight ÷ weight of snacks in one container
= 54 ÷ 8
= 6.75
Therefore, he will fill 6 containers
Snack left over = total weight - (number of containers × weight of snacks one container will hold)
= 54 - (6 × 8)
= 54 - 48
= 6 ounces
Your backyard is 60 feet long and 50 feet wide. You install a circular pool with a 10-foot radius. What is the area of the backyard, in square feet, that can be planted with grass? Round your answer to the nearest whole number (Area of a rectangle = base x height) (Area of a circle = 3.14 x (radius) ^2)
Answer:
2686
Step-by-step explanation:
First let's find the area of the garden.
[tex]60 \times 50 = 3000ft {}^{2} [/tex]
Now let's find the area of the pool.
[tex]3.14 \times 10 {}^{2} [/tex]
[tex]3.14 \times 100 = 314ft {}^{2} [/tex]
Lastly subtract both products.
[tex]3000 - 314 = 2686[/tex]
.325 equals what fraction
Answer:
according to desmos scientific calculator, the answer is 13/40