Answers
Answer:
[tex]m(\widehat{EH})[/tex] = 130°
Step-by-step explanation:
Angles subtended at the center by the arcs [tex](\widehat{HG})[/tex] and [tex](\widehat{EF})[/tex] are ∠HPG and ∠EPF.
Since these angles are the vertical angles both will be equal.
m∠HPG ≅ m∠EPF
3x - 10 = 2x + 10
3x - 2x = 10 + 10
x = 20
Therefore, [tex]m(\widehat{HG})=(3\times 20) - 10[/tex]
= 50°
Similarly [tex]m(\widehat{EF})[/tex] = 50°
In the same way angles subtended at the center will be equal.
m∠EPH ≅ m∠FPG
and [tex]m(\widehat{EH})=m(\widehat{FG})[/tex]
Since [tex]m(\widehat{EH})+m(\widehat{FG})+m(\widehat{EF})+m(\widehat{HG})=360[/tex]°
[tex]m(\widehat{EH})+m(\widehat{EH})+50+50=360[/tex]
[tex]2m(\widehat{EH})=360-100[/tex]
[tex]m(\widehat{EH})=130[/tex]
Therefore, measure of arc EH = 130°
Related Questions
Check all of the infinite geometric series that converge.
135 – 405 + 1,215 – 3,645 + . . .
Answer is B &C
Answers
Answer:b and c
Step-by-step explanation:
Answer two questions about Equations A and B: A. 2x−1+3x =0 B. 5x-1=0 1)How can we get Equation B from Equation A?
Answers
2x-1+3x=5x-1
Can someone help me with this question please.
Answers
Answer:
21
Step-by-step explanation:
The formula for triangular numbers is n×(n+1)÷2 (n is the step of next number)
we have 1, 3, 6, 10, 15 so the next step would be 6th
6×(6+1)÷2 = 21
Question 6: What is the probability of drawing a king and then queen from a standard deck of playing cards?
(3 marks)
Answers
Answer:
see below
Step-by-step explanation:
There are 52 cards in the deck
4 kings
P(king) = king/total = 4/52 = 1/13
replacement
52 cards , 4 queens
P(queen) = queen/total = 4/52 = 1/13
P(king, replacement, queen) = 1/13 * 1/13 =1/169
There are 52 cards in the deck
4 kings
P(king) = king/total = 4/52 = 1/13
no replacement
51 cards , 4 queens
P(queen) = queen/total = 4/51 =4/51
P(king, no replacement, queen) = 1/13 * 4/51 =4/663
The following table shows the cost for 4 fruits. For example, apples cost $6 for 5 pounds. -------------------------------------------- Fruit: Cost: pounds: Apples: $6 6 Bananas: $4 5 Peaches: $5 4 Kiwis: $9 6 -------------------------------------------- Which Type of fruit has a cost of $1.25 per pound? A. Apples B. Bananas C. Peaches D. Kiwis
Answers
Answer:
C. Peaches
Step-by-step explanation:
To find the cost of each fruit per pound, divide the cost of the fruit by how many pounds of it there are.
Apples: $6 ÷ 6 = $1
Bananas: $4 ÷ 5 = $0.80
Peaches: $5 ÷ 4 = $1.25
Kiwis: $9 ÷ 6 = $1.50
The type of fruit that has a cost of $1.25 per pound is peaches.
Hope that helps.
find the approximate volume of this prism
Answers
Step-by-step explanation:
Can you please attach the picture of the prism.
A total of 100 students play on the Sports Academy’s soccer, track, or basketball teams. No student plays on more than one team. 61 of the students are boys. There are 36 students on soccer teams, 19 are on the girls’ soccer team. There are 35 students on basketball teams, 18 are on the boys’ basketball team. How many boys are on the track team?
Answers
I hope this helps you
Answer:
26 boys.
Step-by-step explanation:
You know that there are 36 students on the soccer team, and 19 are girls. 36 - 19 = 17. There are 17 boys on the track team.
There are 18 boys on the basketball team.
To find out how many boys are on the track team, all you need to do is...
61 - (17 + 18) = 61 - 35 = 26.
There are 26 boys on the track team.
Hope this helps!
Please all the statements and reasons
Answers
Statement 1. [tex]\angle BCA\cong\angle DAC.[/tex]
Reason 1. Alternate interior angles formed when two parallel lines are cut by a transversal are congruent.
Statement 2. [tex]\overline{AC}\cong\overline{AC}.[/tex]
Reason 2. Reflexive congruence of segments (a segment is congruent to itself).
Statement 3. [tex]\triangle ACD \cong\triangle CAB.[/tex]
Reason 3. SAS congruence (using our two congruences above and the given congruence).
Statement 4. [tex]\angle ACD=\angle CAB.[/tex]
Reason 4. Corresponding parts of congruent triangles are congruent.
Statement 5. [tex]\overline{AB}\parallel\overline{CD}.[/tex]
Reason 5. If the alternate interior angles formed when two lines are cut by a transversal are congruent, then the lines are parallel.
Statement 6. [tex]ABCD[/tex] is a parallelogram.
Reason 6. The quadrilateral satisfies the definition of a parallelogram: a quadrilateral where both pairs of opposite sides are parallel.
Can someone help me with this question please.
Answers
Answer:
Cheapest price is £25.38
Step-by-step explanation:
To determine the cheapest price that Sue can get the 10 rolls of wallpaper, calculate the cost of getting 10 rolls at each given price offer
=>Cost of getting 10 rolls at £9.21 per roll:
10 × £9.21 = £92.1
=>Cost of getting 10 rolls at £25.38 per pack of 3 rolls
£25.38 = 3 rolls
x = 10 rolls
x = (25.38*10)/3 = 253.8/3
10 rolls would cost x = £84.6
=>Cost of getting 10 rolls at £42.85 per pack of 5 rolls:
£42.85 = 5 rolls
x = 10 rolls
x = (10*42.85)/5 = 428.5/5
x = £85.7
From our calculation, getting 10 rolls at the price offer of £25.38 per pack of 3 rolls is the cheapest.
Therefore, the cheapest price is £25.38
Which multiplication expression is equal to
Nm
2.1
3 12
Nw
NP
O를
O 를시
를스
를
Answers
Step by step explanation:
Answer:
nw to s so it makes it 2.1
Step-by-step explanation:
the answer 5.6
If x > 0 and y = 0, where is the point (x, y) located?
Answers
Answer:
if x>0 and y=0 the point is located on the x-axis
Answer:
x-axis on the right side
Step-by-step explanation:
the point (x,y) located on the x-axis
example x=1, y=0
A basketball player is shooting a basketball toward the net. The height, in feet, of the ball t seconds after the shot is modeled by the equation h = 6 + 30t – 16t2. Two-tenths of a second after the shot is launched, an opposing player leaps up to block the shot. The height of the shot blocker's outstretched hands t seconds after he leaps is modeled by the equation h = 9 + 25t – 16t2. If the ball was on a path to reach the net 1.7 seconds after the shooter launches it, does the leaping player block the shot?
Answers
THIS IS THE COMPLETE QUESTION
basketball player is shooting a basketball toward the net. The height, in feet, of the ball t seconds after the shot is modeled by the equation h = 6 + 30t – 16t2. Two-tenths of a second after the shot is launched, an opposing player leaps up to block the shot. The height of the shot blocker’s outstretched hands t seconds after he leaps is modeled by the equation h = 9 + 25t – 16t2. If the ball reaches the net 1.7 seconds after the shooter launches it, does the leaping player block the shot?
Yes, exactly 0.6 seconds after the shot is launched.
Yes, between 0.64 seconds and 0.65 seconds after the shot is launched
Yes, between 0.84 seconds and 0.85 seconds after the shot is launched.
No, the shot is not blocked.
Answer:
Yes, between 0.84 seconds and 0.85 seconds after the shot is launched.
Given that the
equation for shot block height h = 9 + 25t – 16t2.
equation for ball height h = 6 + 30t – 16t2.
From the question ,it can be deducted that the shot is made before two tenths of a second or 0.2seconds
CHECK THE ATTACHMENT TO COMPLETE THE DETAILED SOLUTION
We can say that the leaping player do not block the shot and thus, the answer is it is No, the shot is not blocked.
What is a shot?In terms of basketball, a shot is known to be the act of throwing a given basketball to a hoop.
Note that in the scenario above, since the ball has reaches the net at about 1.7 seconds after the shooter launches it, We can say that the leaping player do not block the shot and thus, the answer is it is No, the shot is not blocked as it will be hard for the player to do.
See full question below:
basketball player is shooting a basketball toward the net. The height, in feet, of the ball t seconds after the shot is modeled by the equation h = 6 + 30t – 16t2. Two-tenths of a second after the shot is launched, an opposing player leaps up to block the shot. The height of the shot blocker’s outstretched hands t seconds after he leaps is modeled by the equation h = 9 + 25t – 16t2. If the ball reaches the net 1.7 seconds after the shooter launches it, does the leaping player block the shot?
Yes, exactly 0.6 seconds after the shot is launched.
Yes, between 0.64 seconds and 0.65 seconds after the shot is launched
Yes, between 0.84 seconds and 0.85 seconds after the shot is launched.
No, the shot is not blocked.
Learn more about shot from
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It would really help if someone could tell me the answers for those questions
Answers
1) 2.4
2) 6.4
3) 7.7
4) 9.9
5) 2.8
Hope it helps <3
Just basic simplification, make 1 of the variable alone on one side
2x²+12x-7 =0 (completing the square) give your answer to 2 decimal places
Answers
Answer:
x1 = 0.54
x2 = –6.55
Step-by-step explanation:
use the calculator
Please Help !! I don’t know what to do :(
Answers
Answer:
(5+a)/ ( a-1)
Step-by-step explanation:
f(x) = ( 3+x) / (x-3)
Replace x with a+2
f(a+2) = ( 3+a+2) / (a+2-3)
Combine like terms
= (5+a)/ ( a-1)
Answer:
C. (5+a)/(a-1)
Step-by-step explanation:
f(a+2)=(3+a+2)/(a+2-3)=(5+a)/(a-1)
Find the probability of selecting none of the correct six integers in a lottery, where the order in which these integers are selected does not matter, from the positive integers not exceeding the given integers. (Enter the value of probability in decimals. Round the answer to two decimal places.)
Answers
Answer:
(a) 0.35
(b) 0.43
(c) 0.49
(d) 0.54
Step-by-step explanation:
The complete question is:
Find the probability of selecting none of the correct six integers in a lottery, where the order in which these integers are selected does not matter, from the positive integers not exceeding a) 40. b) 48. c) 56. d) 64.
Solution:
(a)
There are n = 40 positive integers.
Compute the probability of selecting none of the correct six integers in a lottery as follows:
[tex]P(\text{0 Correct integers})=\frac{{6\choose 0}\cdot {34\choose 6}}{{40\choose 6}}=\frac{1344904}{3838380}=0.35038\approx 0.35[/tex]
(b)
There are n = 48 positive integers.
Compute the probability of selecting none of the correct six integers in a lottery as follows:
[tex]P(\text{0 Correct integers})=\frac{{6\choose 0}\cdot {42\choose 6}}{{48\choose 6}}=\frac{5245786}{12271512}=0.42748\approx 0.43[/tex]
(c)
There are n = 56 positive integers.
Compute the probability of selecting none of the correct six integers in a lottery as follows:
[tex]P(\text{0 Correct integers})=\frac{{6\choose 0}\cdot {50\choose 6}}{{56\choose 6}}=\frac{15890700}{32468436}=0.48942\approx 0.49[/tex]
(d)
There are n = 56 positive integers.
Compute the probability of selecting none of the correct six integers in a lottery as follows:
[tex]P(\text{0 Correct integers})=\frac{{6\choose 0}\cdot {58\choose 6}}{{64\choose 6}}=\frac{40475358}{74974368}=0.53986\approx 0.54[/tex]
Probability of selecting none of the six integers in a lottery is 0.35
Probability based problem:Assuming that number n = 40.
n = 40 as a positive integer
Probability of selecting none of the correct six integers in a lottery = C(34 , 6) / C(40 , 6)
Probability of selecting none of the correct six integers in a lottery = 1344904 / 3838380
Probability of selecting none of the correct six integers in a lottery = 0.35
Find out more information about 'Probability'.
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At a certain time of day, a 40-foot building casts a 8 foot shadow. How tall is a person who casts a 2 foot shadow? A. 4 feet B. 6 feet C. 8 feet D. 10 feet
Answers
Answer:
D. 10 feet
Step-by-step explanation:
40/8 = x/2 --> cross multiply
8x = 80
x = 10
Option D is correct, the person who casts a 2 feet shadow is 10 foot tall.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that At a certain time of day, a 40-foot building casts a 8 foot shadow.
We need to find how tall is a person who casts a 2 foot shadow.
Let x be the height of the person.
Let us form a proportional equation
40/8=x/2
Apply cross multiplication
80=8x
Divide both sides by 8
x=10
Hence, the person who casts a 2 foot shadow is 10 foot tall.
To learn more on Ratios click:
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The graphs below have the same shape. What is the equation of the blue
graph?
Answers
Answer:
Option (D)
Step-by-step explanation:
Function in red is,
f(x) = x²
When a function f(x) is translated h units to the left, rule to be followed,
f(x) → f(x + h)
If the function is translated 2 units left,
Translated function (in blue) will be,
g(x) = (x + 2)²
Option (D) will be the answer.
Anyone that can help me with this please? Will give brainliest
Answers
Answer:
It's (C) But if you do it like this you get 13/6
Step-by-step explanation:
Can someone PLEASE explain in simple terms which trigonometric ratio to use, like tangent, cosine, or sine, and WHY?
Answers
Answer:
Use law of Cosines or Tangent
Step-by-step explanation:
This is a SAS triangle, where you have have an angle adjacent to two side lengths. But given that it is a right triangle, you can find the hypotenuse by just using the tangent formula. You can find the quantity of any angle by applying tan= opposite side/adjacent side length.
However, lets say you want to find the opposite side, side XZ, you can use the law of cosine which basically states:
c=a^2+b^2﹣2abcos(angle number). But since it is a right triangle, just use the hypotenuse theorem which states: C^2 = A^2 + B^2
The answer for XZ would thus be: squareroot of 136 or 2(34)^1/2.
Hope this helps :)
how do you redue 84 if possible
Answers
Answer:
The question is incomplete. You can’t reduce 84 unless yo7 want it as a power of numbers. Most likely the question is a fraction or eqaaution
Step-by-step explanation:
Write 0.9953 as a fraction
ASAP
Answers
Answer: 9953/10000
Step-by-step explanation:
There is no simplifying this and this is the fraction it is at its least form!, Hope this helped!
<!> Brainliest is appreciated! <!>
Answer:
9953/10000
Step-by-step explanation:
0.9953 as a fraction is written as 9953/10000(nine-thousand fifty-three over ten-thousand)
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Carly's mom sent her to the candy store with 29 party bags.
she asked Carly to fill each bag with 45 pieces of candy.
how many pieces of candy will Carly buy
Answers
Answer:
She will need to buy 1,305 pieces of candy
Answer:
1305 pieces of candy
Step-by-step explanation:
45 pieces of candy per bag times 29 bags = 1305 pieces of candy
45 x 29 = 1305
how to write "360.124" in expanded.and exponential
Answers
Answer:
360.124 in expanded and exponential form :
300+60+1/10+2/100+4/1000
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
(0,0)
(1,9)
Answers
Answer:
y=9x
Step-by-step explanation:
(0,0),(1,9)
when x=0, y=0, means b=0
m is the slope =9
y=9x
Answer:
yes the answer is 9 on any question
Step-by-step explanation:
A store sells 7 different types of envelopes and 6 different types of postage stamps. How many different combinations are there to buy an envelope and stamp?
Answers
42
Explanation
Let’s say:
Set of envelopes: {a,b,c,d,e,f,g}
Set of postage stamps: {1,2,3,4,5,6}
For an envelope you can have:
1a 2a 3a 4a 5a 6a (6 different combinations)
This applies to all 7 different types of envelopes.
Therefore 7 • 6 = 42
The measure of two sides of a triangle are given. If P is the perimeter, find the measure of the third side. P = 8x²+4x-1.
Answers
Answer:
3x² + 1
Step-by-step explanation:
The perimeter is the sum of the exterior lengths of a polygon.
Here, the perimeter will be the sum of the lengths of the triangle. Two of them are given: 5x² + x - 4 and 3x + 2. Let's say the third side is A. Then, we know that:
P = 8x² + 4x - 1 = (5x² + x - 4) + (3x + 2) + A
On the right side, we have:
(5x² + x - 4) + (3x + 2) + A
5x² + 4x - 2 + A
This is equal to 8x² + 4x - 1:
5x² + 4x - 2 + A = 8x² + 4x - 1
Solve for A by isolating it:
A = (8x² + 4x - 1) - (5x² + 4x - 2) = 8x² + 4x - 1 - 5x² - 4x + 2 = 3x² + 1
The third side is thus 3x² - 1.
PLEASE HELP ME ASAP ILL GIVE BRAINLIEST How many triangles are shown? The triangles may overlap. 5 4 3 2
Answers
============================================================
The list of triangles are:
Triangle MHP (bottom middle; smallest triangle)Triangle NHM (small triangle on the left)Triangle HPO (small triangle on the right)Triangle NPM (large triangle on the left)Triangle MOP (large triangle on the right)The diagram below is probably a better way to see all the triangles.
U=1/2kx^2 What is x equal to?
Answers
Answer:
[tex]\bold{x=\sqrt{\dfrac{2U}{k}}}[/tex]
Step-by-step explanation:
[tex]U=\frac12kx^2\\\\2U=kx^2\\\\\dfrac{2U}k=x^2\\\\x=\sqrt{\dfrac{2U}k}[/tex]
or if you miswrite and it should be: U=1/(2kx^2), than
[tex]U=\dfrac1{2kx^2}\\\\\dfrac1U=2kx^2\\\\\dfrac1{2kU}=x^2\\\\x=\sqrt{\dfrac1{2kU}}[/tex]
if f(x)=5x-7 what is f(3)
Answers
Answer:
f(3) = 8
Step-by-step explanation:
f(x) = 5x - 7
Put x as 3 and evaluate.
f(3) = 5(3) - 7
f(3) = 15 - 7
f(3) = 8
Answer: 8
Step-by-step explanation: