Answers
Answer:
[tex]\huge\purple {\boxed {m\angle FEG =23\degree}} [/tex]
[tex] \huge \orange {\boxed {m\angle FEH=113\degree}} [/tex]
Step-by-step explanation:
In the given circle, [tex] \overline{EG} [/tex] is diameter and [tex] \overline{EH} [/tex] is tangent at point E.
[tex]\therefore \widehat {EFG} [/tex] is a semicircular arc.
Since, measure of semicircular arc is 180°
[tex]\therefore m(\widehat {EFG})=180\degree... (1)[/tex]
[tex]\because m( \widehat {EF}) +m(\widehat {FG}) = m(\widehat {EFG}) [/tex] .... (2)
From equations (1) & (2)
[tex]\therefore 134\degree +m(\widehat {FG}) = 180\degree[/tex]
[tex]\therefore m(\widehat {FG}) = 180\degree-134\degree [/tex]
[tex]\therefore m(\widehat {FG}) = 46\degree [/tex]
By inscribed angle theorem:
[tex] m\angle FEG =\frac{1}{2} m(\widehat {FG} ) [/tex]
[tex] m\angle FEG =\frac{1}{2} \times 46\degree [/tex]
[tex]\huge\purple {\boxed {m\angle FEG =23\degree}} [/tex]
By tangent secant theorem:
[tex] m\angle FEH=\frac{1}{2} (46\degree +180\degree) [/tex]
[tex] m\angle FEH=\frac{1}{2} (226\degree) [/tex]
[tex] \huge \orange {\boxed {m\angle FEH=113\degree}} [/tex]
Related Questions
The ground pool for a hot air balloon can see the balloon in the sky at an angle of elevation of 11°. The pilot radios the crew that the balloon is 950 feet above the ground. What is the horizontal distance from the balloon to the ground crew.
Answers
Answer:
4,886.83feet
Step-by-step explanation:
The question will result in a right triangle with
Opposite = distance of the balloon above the ground = 950feet
Angle of elevation = 11 degrees
Required
Horizontal distance h (adjacent)
Using SOH CAH TOA identity
Tan theta =opp/adj
Tan 11 = 950/h
h = 950/tan 11
h = 950/0.1944
h = 4,886.83feet
Hence the horizontal distance from the balloon to the ground crew is 4,886.83feet
A street light is 7.5 feet tall casts a 3-foot-long shadow A nearby flagpole casts a 16.5 foot long shadow what is the height of the flag pole
Answers
Answer:
h = 41.25 foot
Step-by-step explanation:
Given that,
Height of a street light = 7.5 feet
It casts a 3-foot-long shadow.
A nearby flagpole casts a 16.5 foot long shadow. We need to find the height of the flag pole. Let the height be h. It can be calculated as :
[tex]\dfrac{\text{height of street light}}{\text{height of shadow of street light}}=\dfrac{\text{height of flagpole}}{\text{height of shadow of the flag pole}}\\\\\dfrac{7.5}{3}=\dfrac{h}{16.5}\\\\h=\dfrac{7.5\times 16.5}{3}\\\\h=41.25\ foot[/tex]
So, the height of the flag pole is equal to 41.25 foot.
The height of the flag pole is 41.25 feet tall.
Word problems in mathematics are methods used to solve real-life cases. They usually follow a logical approach with the use of arithmetic operations when solving them.
From the parameters given:
If 7.5 feet tall casts = 3-foot long shadowLet the height of the flag pole be = x
∴
(x) feet tall casts = 16.5 foot long shadow.To determine the height of the flag pole, we have:
[tex]\mathbf{x = \dfrac{7.5 feet \ tall \times 16.5 \ foot \ long} {3 \ foot \ long} }[/tex]
x = 41.25 feet tall
Learn more about word problems here:
https://brainly.com/question/21405634
1/2 4² - 6
find the value
Answers
Answer:
2
Step-by-step explanation:
(1/2) 4^2-6
(1/2) 16-6
8-6
=2
Find k so that x + 2 is a factor of x ^ 3 - k * x ^ 2 + 2x + 7k. (If anyone could help me out with this that would be amazing!!)
Answers
Answer:
k = 4
Step-by-step explanation:
If x + 2 is a factor of the polynomial;
By the factor theorem, if we set x + 2 = 0, then make x the subject of the formula; if we substitute the value into the polynomial, the result we should have after calculating should be zero
So, we have it that;
x + 2 = 0
x = -2
Substitute into the polynomial and equate to zero
(-2)^3 - k (-2)^2 + 2(-2) + 7k = 0
-8 -4k -4 + 7k = 0
-12 -4k + 7k = 0
-12 + 3k = 0
-3k = -12
k = -12/-3
k = 4
Please help! I need it rn tysm <3
Answers
Answer:
B
Step-by-step explanation:
because you have a number multiplied 3 times, and you subtract 4 to that, which results in 4 less than 3 times a number
The equation of the line shown in the graph is y = ?.
Answers
You don’t need the 0 just
Y=1/4
some of the values of a linear function given in the table which of the following could be the graph of the function
Answers
Answer:
B
Step-by-step explanation:
Slope = 1
Find the volume of a pyramid with a square base, where the perimeter of the base is 8.6 cm and the height of the pyramid is 8.1 cm. Round your answer to the nearest tenth of a cubic centimeter.
Answers
Answer: 12.5 CC
Step-by-step explanation:
V=1/3Bh where B is the area of the base and h is the height
The perimeter of the square base is 8.6 so each side is 2.15 and the area of the base is (2.15)^2 or 4.6225
V=1/3(4.6225)(8.1)=12.5cc
Carlos needs to build a fence for his chickens. The area he wants to build a fence around is 40 feet long and 20 feet wide. How many feet of fence does he need to buy? (Hint: 40x2 + 30x2)
Answers
the answer is 140 calculate so umm yeah duh I mean 280 lets go baby!!!!
Preform the indicated operation. √75 + √12
Answers
Answer:
the exact form is [tex]7 \sqrt{3}\\[/tex] but the decimal form is 12.124 :)))
Step-by-step explanation:
A store purchased a chair for $10.00 and sold it to a customer for 50% more than the purchase price. The customer was charged 7% tax when the chair was sold. What was the customer's total cost for the chair? I
Answers
Answer:
$16.05
Step-by-step explanation:
50% of 10.00
0.50 x 10.00 = 5.00
10.00 + 5.00 = 15.00
7% of 15.00
0.07 x 15.00 = 1.05
15.00 + 1.05 = 16.05
find two numbers that multiply to 36 and add to -20
Answers
Answer:
-18+2 hope it will help u
What’s the length of the triangle round it to the nearest tenth.
Answers
=12 (nearest tenth)
Help me pleaseee I’ll mark brainliest!!
Answers
Answer:
your answer would be 339
Step-by-step explanation:
i used a circle calculator
you would multiply 2.25 and 24
which gives you 54
and you wanna find the circumference i dont knowhow to do that but it would be 339
Leland hit the target 45 times in 50
shots using a bow and arrow. Based
on his first 50 shots, what would be a
reasonable prediction of the number
of times Leland would hit the target
in 200 shots?
Answers
Answer:
180
Step-by-step explanation:
200/50=4
45x4=180
What point is the intersection of the equations
y=3x−2 and y=−2x+8
Answers
Answer:
x=2
Step-by-step explanation:
3x-2=-2x+8
collect all the like terms
5x=10
x=2
Answer:
(2,4)
Step-by-step explanation:
Put in order from smallest to largest 1, 7/16, 0, 5/2, 2/13, 5/9
Answers
Answer:
0 < 2/13 < 7/16 < 5/9 < 1 < 5/2
Step-by-step explanation:
5/2=2.5
2/13=0.154
5/9=0.55
0, 2/13, 7/16, 5/9, 1, 2.5
Can someone help me write and solve an equation to this word problem : A seventh grade class sells gift cards. Each gift card sells for $15.00. The school library gets 35% of the money earned for each gift card sold. How much money does the library get if the class sells 500 gift cards
Answers
Answer:
The anwser should be 2625
Step-by-step explanation:
35% of 15 is 5.25
5.25 multiple by 500 is 2,625
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answers
Answer:
?
Step-by-step explanation:
I can't see anything attached but I know all angles of a triangle add up to 180 degrees. It probably doesn't help tho.
Answer:
Since no figure is shown, i'll give you a hint.
Step-by-step explanation:
All angles inside a triangle equal 180 when combined.
i'll help more if you post the photo.
What's the value of
[tex] \sqrt{25} + 5 + 10 - 5[/tex]
Answers
Answer:
Step-by-step explanation: also it’s 15
[tex] \sqrt{25} + 5 + 10 - 5 \\ 5 + 5 + 10 - 5 \\10 + 10 - 5 \\ 20 - 5 \\ = 15[/tex]
[tex] \\ [/tex]
Use technology or a z-score table to answer the question.
The scores on a memory test are normally distributed with a mean of 100 and a standard deviation of 25. Consider a group of 400 people who take the test.
How many people will score 90 or less?
63
138
180
262
Answers
Answer:138
Step-by-step explanation:
I just took the test
The number of people who score 90 or less is 138, option B is correct.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Let us find the proportion of people in the group of 400 who score 90 or less on the memory test.
Given that the scores are normally distributed with a mean of 100 and a standard deviation of 25.
Using a z-score table, we can find the z-score corresponding to a raw score of 90 as follows:
z = (90 - 100) / 25 = -0.4
The area under the standard normal distribution curve to the left of z = -0.4 is 0.3446, which represents the proportion of people who score 90 or less on the memory test.
Therefore, the number of people who will score 90 or less is:
0.3446 x 400 = 137.84
Hence, the number of people who score 90 or less is 138, option B is correct.
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#SPJ2
(NO FAKE LINKS PLS) Use the geometric mean to find the value of e
Answers
Answer:
I have already answered this in your last question:)
A members-only speaker series allows people to join for $19 and then pay $4 for every
event attended. What is the maximum number of events someone can attend for a total
cost of $31
Answers
Answer:
The answer is 3 events.
Step-by-step explanation:
I say this because the initial fee is $19, and its $4 per event so 4x3=$12 and $19 + $12 = $31 .
Find out whether the angles are adjacent or vertical. Then find the value of x.
Answers
Answer:
x = 20
Step-by-step explanation:
angles are adjacent and add up to 180 degrees, so:
7x + x + 20 = 180
8x + 20 = 180
8x = 160
x = 20
There are 420 students at Virginia Middle School. For every 7 students, 4 of them are girls. How many girls are there at Virginia Middle School?
Answers
Answer:60
Step-by-step explanation:
Jenny used a total of 3 5/6 gallons of gas while driving her car. Each hour she was driving, she used 7/9 gallons of gas. What was the total number of hours she was driving?
Answers
Answer:
Jenny drove for about 4.93 hours
Step-by-step explanation:
Jenny uses 7/9 gallons of gas per hour.
She used a total of 3 5/6 gallons.
If x is the number of hours she drove, then she used 7x/9 gallons.
X* 7/9 = 3 5/6
3 5/6 can be converted to an improper fraction.
((3*6)+5) / 6 = 23/6 gallons
=> x * 7/9 = 23/6
=> x = (23/6) / (7/9)
=> x = (23/6) * (9/7)
=> x = 69/14
=> x = 4.928571429 hours.
I need help with these question! Please do step by step-
Answers
Answer:
There are 47 Borogroves and 35 Mome raths
Step-by-step explanation:
Here, given the number of legs, we want to find the number of each type of animals
Let the number of borogoves be b and the number of mome raths be m
From the question, there are 82 creatures;
Thus;
m + b = 82 ••••••••(i)
the total number of legs by b borogroves will be b * 2 = 2b
the total number of legs by m mome raths will be m * 4 = 4m
the sum of all legs is 234
2b + 4m = 234 •••••••••(ii)
From equation 1, m = 82-b
Substitute this into equation ii
2b + 4(82-b) = 234
2b + 328 - 4b = 234
4b-2b = 328-234
2b = 94
b = 94/2
b = 47
Recall;
m + b = 82
m + 47 = 82
m = 82-47
m = 35
5^3=? Can someone help me with this I am stuck lol
Answers
Answer: 125
Step-by-step explanation: just multiply 5 x 5 x 5
Answer: 125
Hope this helps!
IXL math help please
Answers
Answer:
(√50+15/2)/2=√50/2+15/4=7.28
√8+4=6.82
π+4=7.14
13√80/16=7.26
3π-2=7.424
√30+1.8=7.277
Step-by-step explanation:
√30+1.8 is nearly equal to√30+1.8&13√80/16
so
√30+1.8& 13√80/16 can be apply.
Write a PARAGRAPH
explaining how the volume
of a sphere in real-world
and mathematical
problems.
Answers
Step-by-step explanation:
The volume of the mathematical cylinder is the amount of space what will fit inside. You can you can use the formula for the mathematical problems to find the amount. It's like, "Example" to find the volume of a cone, you need to plug in the measurement for the height of the cone and the radios of the base of the formula for the volume of the cone. The you just need to simply it to get your answer..................