As both the angles are linear, their sum is equal to 180°
i.e m<EFG+m<GFH = 180
=>( 2n+17 )+(4n+37) = 180
=> 6n + 54 = 180
=> 6n = 180-54
=>6n =126
=> n= 21
m<EFG = 2(21)+17 = 59°
m<GFH =4(21)+37 =121°
Given: ∠EFG and ∠GFH are a linear pair
We know that: Sum of the angles which make a linear pair should be equal to 180°
⇒ ∠EFG + ∠GFH = 180°
Given :
∠EFG = 2n + 17
∠GFH = 4n + 37
⇒ 2n + 17 + 4n + 37 = 180°
⇒ 6n + 54 = 180°
⇒ 6n = 180 - 54
⇒ 6n = 126
⇒ n = 21°
Substituting the value of n in ∠EFG and ∠GFH, We get:
⇒ ∠EFG = 2(21) + 17 = (42 + 17) = 59°
⇒ ∠GFH = 4(21) + 37 = (84 + 37) = 121°
Find the mean of the data.
The number of trophies won by
each team in the district.
1, 3, 1, 5, 7, 8, 10
Mean: [? ] trophies
Answer:
5
Step-by-step explanation:
Help Me please!!!!! Rn
Answer:
20 degrees
Step-by-step explanation:
The sum of inner angles of a triangle is 180 degrees
120 + 40 + x = 180
160 + x = 180
x = 20
Answer:
A + 120 + 40 = 180 (interior angles of a triangle equal to 180°)
A = 180-120-40
A = 20°
What is the value of x, given that AE || BD?
Answer:
options number 1 is the answer
Find the dilated coordinates with the centre of (0,2) and scale factor of 3 for the point D(2, 2).
i neeeddd this pleaseee and thank u
Answer:
(6, 2)
Step-by-step explanation:
xD' = (0-0) + (3×2) = 0+6 = 6
yD' = (2-0) + (3×0) = 2+0 = 2
the dilated coordinate D' (6, 2)
Answer:
6 and 2 pls answer my questions plss
HELP NEEDED!! Find the sine of W
Answer:
[tex]\frac{\sqrt{47}}{10}[/tex]
Step-by-step explanation:
First you find the missing side using the Pythagorean theorem of [tex]a^{2} +b^{2} =c^{2}[/tex].
Which is [tex](\sqrt{53})^{2} + b^{2} = 10^{2}[/tex].
do the squares to make it 53 + [tex]b^{2}[/tex] = 100 and solve for b.
[tex]b^{2} = 100-53\\b^{2} = 47\\b= \sqrt{47}[/tex]
Sine of an angle is Opposite over Hypotenuse to get
[tex]\frac{\sqrt{47} }{10}[/tex]
HELPP!!!!!x
And thanks!
Answer:
7/10 > 17/25
Step-by-step explanation:
17/25 and 7/10
The common denominator is 50
17/25 *2/2 =34/50
7/10 *5/5 = 35/50
35 > 34 so
35/50 > 34/50
7/10 > 17/25
I really need help with this problem
Answer:
Measure of angle K is 52.5 degrees
Step-by-step explanation:
Here, we have a case of two sides being congruent
mathematically when two sides are congruent, then we have an isosceles triangle
For an isosceles triangle, the base angles are equal
LM faces K , while M faces KL
What this mean is that L faces KM
From above, we can see that K = M = ?
Let us call this x
Mathematically, the sum of angles in a triangle is 180 degrees
75 + x + x = 180
2x = 180-75
2x = 105
x = 105/2
x = 52.5
The length of a field in feet is a function f(n) of the length nin yards. Write a function rule for this situation.
Given:
The length of field is n yards.
The length of a field in feet is a function f(n).
To find:
The function rule for this situation.
Solution:
We know that,
1 yard = 3 feet
Using this conversion, we get
n yard = 3n feet
The length of field is n yards. So, the length of the field is 3n feets.
The length of a field in feet is a function f(n). So,
[tex]f(n)=3n[/tex]
Therefore, the required function rule for this situation is [tex]f(n)=3n[/tex].
4 - (x + 1) = 6
Someone please help :^:
Hope this helps please mark me brainliest
Answer:
x = -3
As an estimation we are told £3 is €4.
Convert £33 to euros.
Answer:
44 euros
Step-by-step explanation:
if the ratio between an english pound and a euro is 3 to 4 respectivley, the ratios will hold true for any number. Since 33/3 = 11, we can stratigically multiply by 1,
3/4 = (3/4)(11/11)
so the ratios would be the same, multiplying, you would get 33/44, which means 33 pounds for 44 euros
What is the measure of ACB in O below?
Answer:
A
Step-by-step explanation:
The central angle is equal to the arc that subtends it , then
arc AB = 30°
arc ACB = 360° - 30° = 330° → A
URGENT PLS HELP!!!
Work out the value of 3x + 5y
when x = -5 and y = 5
Answer:
10
Step-by-step explanation:
3x + 5y
Let x= -5 and y =5
3(-5) + 5(5)
Multiply first
-15 +25
Then add
10
Question 15 of 25
If the factors of a polynomial are x + 8 and x+4, what values of x make that
polynomial O?
A. -8 and -4
B. 8 and -4
C. -8 and 4
D. 8 and 4
Answer:
Step-by-step explanation:
Polynomials are factored after they are set equal to 0. This i because the factors of the polynomial are also known as the x-intercepts, and x-intercepts exist where y = 0. Therefore, if the factors of the polynomial are
(x + 8)(x + 4) = 0, then by the Zero Product Property,
x + 8 = 0 so x = -8 or
x + 4 = 0 so x = -4. Choice A.
someone help me pleaseeeeee
Answer:
D
Step-by-step explanation:
All parts of the circle have a star, meaning that Andrea has a 4/4 or 1 probability of landing on a part that has a star.
Which graph represents the function p(x) = |x - 1|?
Step-by-step explanation:
Fourth graph represent the function p(x) = |x – 1|
Answer:
B
Step-by-step explanation:
Just did the unit test
Simplify (2x^2 + 4x) - (7x - 3x^2 + 5)
Answer:
5x^2 - 3x -5
Step-by-step explanation:
You simplify the like terms
Remember to use distributive property to do the (7x-3x^2+5) part
If you fail two semesters will you be held back?
umm...... No because 1 haven't give any semester
A woman sold an article for 20.00cedis and made a profit of 25%.Find the cost price of the article.
Answer:
The cost price = GHc 16.00
Step-by-step explanation:
Selling price = GHC 20.00
Profit Percent = 25%
Cost price = ?
Formula for finding cost price =
[tex] \frac{100}{100 + profit \: percent} \times selling \: price[/tex]
Let's insert the numbers
[tex] \frac{100}{100 + 25} \times 20 \\ = \frac{100}{125} \times 20 \\ = \frac{4}{5} \times 20 \\ = \frac{4 \times 20}{5} \\ = \frac{80}{5} \\ = 16[/tex]
So therefore ; the cost price is GHC 16.00
What is the explicit formula for this sequence?
-7, -4, -1, 2, 5, …
Answer:
y = 3x -7?
Step-by-step explanation:
started from 7 and going infinite
Solve for X answer as a whole number
Step-by-step explanation:
[tex] {a}^{2} = {4}^{2} + {2}^{2} \\ {a}^{2} = 16 + 4 \\ {a}^{2} = 20 \\ a= \sqrt{20} \\ {x}^{2} = {( \sqrt{20} )}^{2} + {3}^{2} \\ {x}^{2} = 20 + 9 \\ {x}^{2} = 29 \\ x = 5.385[/tex]
as a whole number = 5
hi can somebody plz help me
Answer:Its the last one to the left up
Step-by-step explanation:
X+y=0
x-y+2=0
Help, also write on paper please? I wanna learn how to do this
Step-by-step explanation:
Y=x
Y=x+2
Plot graph but not up to scale just for u to understand
Nicole buys a meal in a town with a 9% sales tax. She tips 17% on the bill before adding the sales tax. She pays a total of $15.30. What should be the original cost of her meal?
Answer:
17/100×15.30=2.60
9/100×15.30=1.37
15.30-(1.37+2.60)=11.33
Which of the following sets of points is a direct variation?
(0, 0); (-1, -2); (1, 2)
(0, 0); (2, 4); (5, 15)
(3,6); (-2, 4); (-1,2)
(0,5); (1, 6); (2,7)
Thank you everyone for helping me this year to get good grades I am giving points.
1] Angelo used 425 centimeters of ribbon to trim banners he made. How many meters of ribbon did he use? ***HINT: 1 meter = 100 centimeters*** *
Answer:
4.25 meters
Step-by-step explanation:
425/100 = 4.25
or move the decimal to the left 2 places. One place for each zero in 100.
Una máquina de bolas de chicle tiene 23 chicles verdes, 52 chicles rojos, 34 chicles azules, 61 chicles amarillos y 30 chicles rosas. ¿Qué porcentaje de los chicles son rojos?
Answer:
creo que es 96%
Step-by-step explanation: sume todo los chiles excepto los chiles rojos y luego con la suma de todos los chiles los reste con los chiles rojos.
round the whole number 21,908 to the nearest thousands place
Answer:21,908 is 22,000 to the nearest thousand. the digits after the 1 of 21 is 9. So we round up
What’s the least number of faces a polyhedron can have? And why?
Answer:
The minimum number of faces a polyhedron can have is 4 faces.
Step-by-step explanation:
We know that a polyhedron is a shape surrounded by polygons. We also know that we need at least 3 sides to make a polygon. So, at the minimum a polyhedron can be made by using only triangular faces but in order to make a closed figure we need at least four triangular faces (which is a tetrahedron).
Thank you please shwo your work if you can<3 !!!!
x=
y=
Answer:
x = 2, y = - 1
Step-by-step explanation:
Given the 2 equations
y = - 7x + 13 → (1)
y = - 1 → (2)
Substitute y = - 7x + 13 into (2)
- 7x + 13 = - 1 ( subtract 13 from both sides )
- 7x = - 14 ( divide both sides by - 7 )
x = 2
y = - 1 is already given in (2)
Then x = 2, y = - 1