In the figure below, DF is a straight line. What is the degree measure of <FEG?
Answer:
c. 56 degrees
Step-by-step explanation:
angle FEG and angle DEG add up to 180.
2x-6+3x-31=180
x=31
2(31)-6=56
The measure of angle ∠ FEG is,
∠ FEG = 56°
We have to given that,
Angles are defined as,
∠ FEG = (2x - 6)°
∠ DEG = (3x + 31)°
Here, Angles FEG and angle DEG are linear pair.
Hence, angle FEG and angle DEG add up to 180.
2x - 6 + 3x + 31 = 180
5x + 25 = 180
5x = 180 - 25
5x = 155
x = 155 / 5
x = 31
Therefore, The measure of angle ∠ FEG is,
∠ FEG = (2x - 6)°
∠ FEG = (2 × 31 - 6)°
∠ FEG = (62 - 6)°
∠ FEG = 56°
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Which expression is equivalent to -7(y-2)?
A. -7y - 2
B. -7y + 2
C. -7y - 14
D. -7y + 14
Answer:
D) -7y + 14
Step-by-step explanation:
-7 x y = -7y
-7 × -2=14 ( negative times negative equals positive)
What number must be divided by 15 3/4 so that the quotient is 60?
What is the area of the triangle?
Answer:
A = 6.36
Step-by-step explanation:
Write an equation and solve.
How opd am I if 400 reduced by 2 times my age is 244?
Answer:
78
Step-by-step explanation:
x = your age
400 - 2x = 244
subtract 400 from both sides of the equation:
-2x = -156
divide both sides by -2:
x = 78
Answer: 78
Step-by-step explanation:
x = your age
400 - 2x = 244
subtract 400 from both sides of the equation:
-2x = -156
divide both sides by -2:
x = 78
In the figure,Line x is parallel to line y. identify the angles congruent to angle 3
Answer:
For example, slide ∠ 1 down the transversal and it will coincide with ∠2. are equal in measure. If two parallel lines are cut by a transversal, the corresponding angles are congruent. If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.
Step-by-step explanation:
% of $10 = $3
help pls
Answer:
30%
Step-by-step explanation:
3/10=30/100 and 30/100 is the same as 30%
because %'s mean out of 100 so 30% means 30 out of 100 which can be simplified to 3 out of 10 or 3/10 (so its all equal)
Answer:
3%
Step-by-step explanation:
No links!!!
Please help me
Answer:
B one
They only cross once on the graph
HELPPPPPPPPPPP
1. Shown are the final scores for Norm Duke in the past eight bowling tournaments.
299, 281, 285, 269, 280, 269, 286, 287
Part A: What is the mean absolute deviation of Norm Duke’s scores?
A.
7.50
B.
7.00
C.
7.25
D.
6.75
Part B: Based on the mean absolute deviation from Part A, who has been the more consistent bowler if Ryan Shafer has a mean absolute deviation of 7?
A.
Norm Duke has been more consistent because his mean absolute deviation is greater than Ryan Shafer’s.
B.
Ryan Shafer has been more consistent because his mean absolute deviation is less than Norm Duke’s.
C.
Ryan Shafer has been more consistent because his mean absolute deviation is greater than Norm Duke’s.
D.
Norm Duke has been more consistent because his mean absolute deviation is less than Ryan Shafer’s.
Answer:
Part A
C. 7.25Part B
B. Ryan Shafer has been more consistent because his mean absolute deviation is less than Norm Duke’s.Step-by-step explanation:
Given data:
299, 281, 285, 269, 280, 269, 286, 287Part AFind the mean of the data above:
(299 + 281 + 285 + 269 + 280 + 269 + 286 + 287)/8 = 282Find absolute deviations, an absolute value of the difference of data and the mean:
299 - 282 = 17 ⇒ 17 281 - 282 = -1 ⇒ 1285 - 282 = 3 ⇒ 3269 - 282 = -13 ⇒ 13280 - 282 = 2 ⇒ 2269 - 282 = -13 ⇒ 13286 - 282 = 4 ⇒ 4287 - 282 = 5 ⇒ 5Find mean absolute deviation:
(17 + 1 + 3 + 13 + 2 + 13 + 4 + 5)/8 = 7.25Correct choice is C
Part BLess mean absolute deviation is the sign of more consistent data.
Since Ryan Shafer has smaller mean absolute deviation, he has been more consistent 7 < 7.25
Correct choice is B.
a ranger is at the top of a 200 foot tall lookout tower. she spots a fire at an angle of depression of 3° from the top of her tower. To the nearest tenth of a foot, how far away is the fire?
Step-by-step explanation:
tan3 = 200/x
x = 200/tan3
The question is incomplete. The right question is:
A ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°. To the nearest tenth of a foot, how far away is the fire from the base of the tower?
The distance between the fire and the base of the tower is 3816.2 feet.
What is the concept of height and distances?Heights and Distances is a trigonometric application-based concept, where we try to form a right-angled triangle of the given conditions, take the angles of elevation and depression and try to find the unknowns.
How do we solve the given question?We are given that a ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°.
We are asked to find the distance between the fire and the base of the tower.
We let the 200-foot observation tower be AB. Let the point of fire be C. Join BC and AC to complete the right-angled triangle ABC, with ∠B = 90°. The ranger from the top of the tower has a 3° angle of depression to the fire. We draw the horizontal line of sight AD. Now the angle of depression can be shown by the ∠DAC = 3°.
We let the distance between the fire and the foot of the tower be x foot.
∠BCA = ∠DAC = 3° (alternate angles).
Also, ∠BAC = 180° - 90° - 3° = 87° (using angle sum property of triangles)
In ΔABC,
tan ∠BAC = BC/AB (tan θ = perpendicular/base)
or, tan 87° = x/200
or, x = 200*tan87° = 200*19.0811 = 3816.22 = 3816.2 (rounding to nearest tenth).
∴ The distance between the fire and the base of the tower is 3816.2 feet.
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The volume of the geometric figure below is _______ cubic ft
Answer: Your answer in 840 cubic feets
Step-by-step explanation:
u solve the face on the bottom... base (10) times height (12) divide by two is 60. Then i multiply by the actual height which is 14 ft. 60 times 14 is 840.
If this helps plz mark me brainlest
Good luck :D
simplify
rewrite the expression in the form a^n
Patriciodeposits $500 in the same account that pays a 1.5% simple interest he does not withdraw any money from the account any makes no other deposits how much money does Patricio happiness saving account after 5 years
Answer: $537.5
Step-by-step explanation:
$500 at 1.5% for 5 years
p x r x t = i
500 x 0.015 x 5= 37.5
37.5+500=537.5
Help ASAP please! Thank you so much
What is the slope of the graphed line?
Answer:
the numbers aren't clear can you enlarge the screenshot?
Step-by-step explanation:
Answer:
Slope = [tex]- \frac{3}{4}[/tex]
Step-by-step explanation:
1. Choose 2 points from the graph
(0,-1) and (4,-4)
2.) Use this formula: [tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]
3.) (-4) - (-1) = -3
(4) - (0) = 4
-3/4
A line of best fit for a data set has equation y = 3x - 4. What y-value would you predict for an x-value of 8 in this data set?
A 4
B. 8
C. 16
D. 20
Answer:
D. 20
Step-by-step explanation:
The line of best fit for the equation is:
[tex]y = 3x - 4[/tex]
When x = 8
We have to find y. So
[tex]y = 3*8 - 4 = 24 - 4 = 20[/tex]
So the correct answer is given by option D.
what is the volume to the nearest tenth
A)34.4yds^2
B)34.38yds^3
C)34.4yds^3
D)34.38yds^2
Answer:
A
Step-by-step explanation:
write the equation, please.
Answer:
x^2+y^2 = 49
Step-by-step explanation:
This is a circle.
The generic equation of a circle is
(x-h)^2+ (y-k)^2 = r^2
where (h,k) is the center and r is the radius
The center of the circle is at the origin which is (0,0)
The radius is 7
(x-0)^2+(y-0)^2 = 7^2
x^2+y^2 = 49
Answer:
[tex] \displaystyle {x}^{2} + {y}^{2} = 49[/tex]
Step-by-step explanation:
we are given a circle
we want to figure out the equation of the circle
remember that,
[tex] \rm \displaystyle E _{c} : (x - {h)}^{2} + (y - k {)}^{2} = {r}^{2} [/tex]
(h,k) are the centre of the circle
we can clearly see that the centre of the circle is (0,0) and the redious is 7 units
thus substitute:
[tex] \displaystyle (x - {0)}^{2} + (y - 0{)}^{2} = {7}^{2} [/tex]
further simplification is needed:
[tex] \displaystyle {x}^{2} + {y}^{2} = 49[/tex]
and we are done!
classify the polynomial 11x^2-10x+7
 What is the volume of this cone?
Answer: C
Step-by-step explanation:
Classify this triangle by its sides and angles.
Answer:
right and scalene
Step-by-step explanation:
all the sides are different in length, so it's a scalene triangle, plus, it has a right angle, which makes it a right angled triangle.
Check out the image
Answer:
oop, okay
Step-by-step explanation:
Answer:
twitter should work
go on it but also other websites so when you go to delete your history (ctrl h on chrome) it'll match up
example: go on twitter at 2:25 but also some other websites and switch back until 2:26 go back on and then other websites
Step-by-step explanation:
solve this question step by step on paper
8.1÷4
Answer:
2.025
Step-by-step explanation:
https://www.symbolab.com/solver/step-by-step/8.1%5Cdiv4%E2%80%8B
which expression is equivalent to 189 1/5 -(-22 2/5)-(-40 1/5),
Answer:
[tex]251 \frac{4}{5}[/tex] or [tex]\frac{1259}{5}[/tex]
Mary made two 8 ounce drinks each in a separate cup. The first cup has 4 ounces f coffee and four ounces of milk. The second cup has 6 ounces of coffee and 2 ounces of milk. After she stirred the two drinks really well, she took out a third cup that was empty. She poured 2 ounces from the first cup ad 4 ounces from the second cup into the third cup. How many ounces of coffee are in the third cup
Answer:
6 ounces
Step-by-step explanation:
First cup = 4 ounces of coffee + 4 ounces of milk
= 8 ounces drink
Second cup = 6 ounces of coffee + 2 ounces of milk
= 8 ounces drink
She poured 2 ounces from the first cup and 4 ounces from the second cup into the third cup.
Third cup = 2 ounces from the first cup + 4 ounces from the second cup
= 2 + 4
= 6 ounces drink
Ounces of coffee are in the third cup = 6 ounces
If 4c + 10= 20 -16c, what is 8c?
Select the expression that is equivalent to 48 ÷ 12
A. 6 (8 + 6)
B. 12 (4+1)
C. 4 (44 +3)
D. 8 (6+4)
Given:
Consider the expression is:
[tex]48+12[/tex]
To find:
The expression that is equivalent to the given expression.
Solution:
We have,
[tex]48\div 12[/tex]
It can be written as:
[tex]48\div 12=12\times 4+12\times 1[/tex]
Taking out the GCF, we get
[tex]48\div 12=12(4+1)[/tex]
Therefore, the correct option is B.
Answer:
b. 12 (4+1)
Step-by-step explanation:
hope this helps you {ribbit}
~tsu-chan :p
Students recorded the amount of liquid in fluid Ounces each of them drank In one day. The box plot shows the summary of the results. Amount of Liquid (fluid Ounces) Which statement best describes the data represented in the box plot?
Answer: The correct answer would be F. Half the students drank from 78 to 114 fluid ounces.
Step-by-step explanation:
The statement best describes the data represented in the box plot half the students drank from 78 to 114 fluid ounces. The correct option is F.
What is a box plot?A rectangle is created to represent the second and third quartiles, normally with a vertical line inside to indicate the median value, in a simple way of presenting statistical data on a plot.
Given that students recorded the amount of liquid in fluid Ounces each of them drank In one day. The box plot shows the summary of the results. Amount of Liquid (fluid Ounces).
The highest and the lowest limit of the box plot is range from 78 to 114. The statement best describes the data represented in the box plot half the students drank from 78 to 114 fluid ounces.
Therefore, the correct option for the box plot will be F.
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What’s the answer to the question -7x + 15 = 36
Answer:
x= -3
Step-by-step explanation:
-7x +15 - 15 = 36 - 15
-7x = 21
-7x ÷ -7 = 21 ÷ -7
x= -3
Answer:
Um.....
-3
Sorry if calculated wrong..
The cost of a holiday is £2400
Rana pays a deposit followed by monthly payments, in the ratio
deposit : total of the monthly payments = 3:5
She makes 6 equal monthly payments. Work out her monthly payment
She makes 6 equal monthly payments. Then the monthly payment will be £666.67.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The cost of a holiday is £2400. Rana pays a deposit followed by monthly payments, in the ratio deposit: a total of the monthly payments = 3:5.
Then the total of the monthly payment will be given as,
£2400 / Total of the monthly payments = 3:5
Total of the monthly payments = (5/3) x £2400
Total of the monthly payments = £4,000
She makes 6 equal monthly payments. Then the monthly payment will be given as,
Monthly payment = £4,000 / 6
Monthly payment = £666.67
She makes 6 equal monthly payments. Then the monthly payment will be £666.67.
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Solve for y: 5(y + 2/5) = -13
Answer:
y = -3
Step-by-step explanation:
Let's solve your equation step-by-step.
5 (y+2/5) = −13
Step 1: Simplify both sides of the equation.
5(y+2/5)= −13
(5)(y) + (5)(2/5) = −13(Distribute)
5y + 2 = −13
Step 2: Subtract 2 from both sides.
5y + 2 − 2 = −13 −2
5y = −15
Step 3: Divide both sides by 5.
5y/5 = −15/5
y = −3
Answer:
y = −3
hope this helps and is right :)