Answers
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°
Related Questions
GRADE 6 MATH. 10 POINTS
NO FAKE ANSWER OR LINK
Answers
Answer:
11-
3 / 8 * 5 / 5 = 15 / 40
2 / 5 * 8 / 8 = 16 / 40
16 / 45 + 15 / 45 =
31 / 40
12-
5 / 6 * 9 /9 = 45 / 54
4 / 9 * 6 / 6 = 24 / 54
24 / 54 + 45 + 54 = 69 / 54
69 / 54 =
1 15 / 54
The volume of this cone is 83.7 cubic meters. Find the DIAMETER. SHOW ALL WORK
Answers
There for the diameter is 2(4.8 )= 9.6 ft
Given: Volume of the cone is 83.7 m³
We know that:
[tex]\bigstar \ \ \boxed{\sf{\textsf{Volume of cone is given by} : \dfrac{\pi r^2h}{3}}}[/tex]
where r is the radius of the cone and h is the height of the cone
Given: Height of the cone = 5m
Substituting the values in the formula, we get:
[tex]\sf{\implies \dfrac{\pi r^2(5)}{3} = 83.7}[/tex]
[tex]\sf{\implies \pi r^2 = 83.7 \times \dfrac{3}{5}}[/tex]
[tex]\sf{\implies \pi r^2 = 83.7 \times 0.6}[/tex]
[tex]\sf{\implies \pi r^2 = 50.22}[/tex]
[tex]\sf{\implies r^2 = \dfrac{50.22}{\pi}}[/tex]
[tex]\sf{\implies r^2 = 16}[/tex]
[tex]\sf{\implies r = 4}[/tex]
We know that : Diameter is two times the radius
⇒ Diameter of the Cone is 8 meters
7(x + y) ex2 − y2 dA, R where R is the rectangle enclosed by the lines x − y = 0, x − y = 7, x + y = 0, and x + y = 6
Answers
Answer:
[tex]\int\limits {\int\limits_R {7(x + y)e^{x^2 - y^2}} \, dA = \frac{1}{2}e^{42} -\frac{43}{2}[/tex]
Step-by-step explanation:
Given
[tex]x - y = 0[/tex]
[tex]x - y = 7[/tex]
[tex]x + y = 0[/tex]
[tex]x + y = 6[/tex]
Required
Evaluate [tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA[/tex]
Let:
[tex]u=x+y[/tex]
[tex]v =x - y[/tex]
Add both equations
[tex]2x = u + v[/tex]
[tex]x = \frac{u+v}{2}[/tex]
Subtract both equations
[tex]2y = u-v[/tex]
[tex]y = \frac{u-v}{2}[/tex]
So:
[tex]x = \frac{u+v}{2}[/tex]
[tex]y = \frac{u-v}{2}[/tex]
R is defined by the following boundaries:
[tex]0 \le u \le 6[/tex] , [tex]0 \le v \le 7[/tex]
[tex]u=x+y[/tex]
[tex]\frac{du}{dx} = 1[/tex]
[tex]\frac{du}{dy} = 1[/tex]
[tex]v =x - y[/tex]
[tex]\frac{dv}{dx} = 1[/tex]
[tex]\frac{dv}{dy} = -1[/tex]
So, we can not set up Jacobian
[tex]j(x,y) =\left[\begin{array}{cc}{\frac{du}{dx}}&{\frac{du}{dy}}\\{\frac{dv}{dx}}&{\frac{dv}{dy}}\end{array}\right][/tex]
This gives:
[tex]j(x,y) =\left[\begin{array}{cc}{1&1\\1&-1\end{array}\right][/tex]
Calculate the determinant
[tex]det\ j = 1 * -1 - 1 * -1[/tex]
[tex]det\ j = -1-1[/tex]
[tex]det\ j = -2[/tex]
Now the integral can be evaluated:
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA[/tex] becomes:
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \int\limits^6_0 {\int\limits^7_0 {7ue^{x^2 - y^2}} \, *\frac{1}{|det\ j|} * dv\ du[/tex]
[tex]x^2 - y^2 = (x + y)(x-y)[/tex]
[tex]x^2 - y^2 = uv[/tex]
So:
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \int\limits^6_0 {\int\limits^7_0 {7ue^{uv}} *\frac{1}{|det\ j|}\, dv\ du[/tex]
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \int\limits^6_0 {\int\limits^7_0 {7ue^{uv}} *|\frac{1}{-2}|\, dv\ du[/tex]
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \int\limits^6_0 {\int\limits^7_0 {7ue^{uv}} *\frac{1}{2}\, dv\ du[/tex]
Remove constants
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2}\int\limits^6_0 {\int\limits^7_0 {ue^{uv}} \, dv\ du[/tex]
Integrate v
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2}\int\limits^6_0 \frac{1}{u} * {ue^{uv}} |\limits^7_0 du[/tex]
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2}\int\limits^6_0 e^{uv} |\limits^7_0 du[/tex]
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2}\int\limits^6_0 [e^{u*7} - e^{u*0}]du[/tex]
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2}\int\limits^6_0 [e^{7u} - 1]du[/tex]
Integrate u
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * [\frac{1}{7}e^{7u} - u]|\limits^6_0[/tex]
Expand
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * ([\frac{1}{7}e^{7*6} - 6) -(\frac{1}{7}e^{7*0} - 0)][/tex]
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * ([\frac{1}{7}e^{7*6} - 6) -\frac{1}{7}][/tex]
Open bracket
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * [\frac{1}{7}e^{7*6} - 6 -\frac{1}{7}][/tex]
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * [\frac{1}{7}e^{7*6} -\frac{43}{7}][/tex]
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{7}{2} * [\frac{1}{7}e^{42} -\frac{43}{7}][/tex]
Expand
[tex]\int\limits {\int\limits {7(x + y)e^{x^2 - y^2}} \, dA = \frac{1}{2}e^{42} -\frac{43}{2}[/tex]
(math)not too hard - pls help
Answers
Answer:
x - h(x)
0 - 1
1 - 3
2 - 5
3 - 7
Step-by-step explanation:
Just substitute the x value into the function
Operations on Wh b) 6 X (5 + 4)
Answers
Answer:
6X(5 + 4)
6x(9)
54x
Answer:
the answer is 54x hope it will help full to you
I will give u brainliest and 5 star and thanks if its correct
Answers
Answer:
5. a) 5b
b) 3b + 2b
Step-by-step explanation:
a) b + b + b + b + b is the same as
5 * b or 5b
b) 5b = 3b + 2b
or 3 * b + 2* b = 5b
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
i would really appreciate the help please
Answers
Answer:
1 and 2 only
Step-by-step explanation:
mark me as brainliest
Patty made a banner that has an area of 175 square inches. The length and width of the banner are whole numbers. The length is 7 times greater than the width. What are the dimensions of the banner? The banner has a length of nothing ▼ in.In. sq in.Sq in. and a width of nothing ▼ sq in.Sq in. in.
Answers
Answer:
Length = 35
w = 5
Step-by-step explanation:
l x w = area
7y x y = 175
7y^2 = 175
y^2 = 175/7
y^2=25
y=5
The length is 7y, so it's 5 times 7 or 35.
The width is just y, so it's 5.
Why is (0,0) a Y intercept and isn't an X intercept?
Answers
Good question. It is supposed to be both the y-intercept and the x-intercept and is the only point on a graph that can be both. Something in wrong in that thing.
Which is the simplified form?
Answers
which of the following constructions must you know how to do in order to construct an inscribed circle for a given triangle
Answers
Answer:
Bisector
Step-by-step explanation:
A floor tile is made in the slope of a rectangular polygon the sum of all the interior angles is 1080° if each side is 10cm find perimeter
Answers
Given:
Sum of all the interior angles of a regular polygon is 1080°.
Measure of each side is 10 cm.
To find:
The perimeter.
Solution:
The sum of all interior angles of a regular polygon with n side is:
[tex]S=(n-2)180^\circ[/tex]
Sum of all the interior angles of a regular polygon is 1080°.
[tex]1080^\circ=(n-2)180^\circ[/tex]
[tex]\dfrac{1080^\circ}{180^\circ}=n-2[/tex]
[tex]6+2=n[/tex]
[tex]8=n[/tex]
Number of sides of the regular polygon is 8. The measure of each side is 10 cm. So, the perimeter of the regular polygon is:
[tex]\text{Perimeter}=\text{Number of sides}\times\text{Measure of each side}[/tex]
[tex]\text{Perimeter}=8\times 10[/tex]
[tex]\text{Perimeter}=80[/tex]
Therefore, the perimeter of the regular polygon is 80.
Find the measure of AB⎯⎯⎯⎯⎯⎯⎯.
A. 4
B. 7
C. 10
D. 5
Answers
Answer: 7
Step-by-step explanation:
find x
6x(6+4)=5x(1+x)
Then x=11
AB= 11-4=7
Answer:
B.) 7
Step-by-step explanation:
I got it correct on founders edtell
Please help thanks! Brainliest
Answers
Answer:
-3
Step-by-step explanation:
[tex]\frac{7-25}{-2(-3)}[/tex]
=[tex]\frac{-18}{-2*-3}[/tex]
=[tex]\frac{-18}{6}[/tex]
=-3
[tex]\quad\quad\quad\quad\huge\tt{⟹\frac{7 - 25}{ - 2( - 3)} }[/tex]
Let's try![tex]\quad\quad\quad\quad\huge\tt{ ⟹\frac{7 - 25}{ - 2( - 3)} }[/tex]
[tex]\quad\quad\quad\quad\huge\tt{ ⟹\frac{-18}{ - 2( - 3)} }[/tex]
[tex]\quad\quad\quad\quad\huge\tt{ ⟹\frac{-18}{ 6} }[/tex]
[tex]\quad\quad\quad\quad\huge\tt{ ⟹ - 3} [/tex]
Hence, The answer is:[tex]\quad\quad\quad\quad\huge \boxed{\tt{ \color{green} - 3} }[/tex]
________
#LetsStudy
Pleaseeeee help me!!!
Answers
Answer:
a = -1 b=0 and c=1
Step-by-step explanation:
-x^2 +0x+1
This is in the form
ax^2 +bx+c
a = -1 b=0 and c=1
PLEASE HELP!!
A wooden block in the shape of a rectangular pyramid is shown below:
A shaded right rectangular pyramid is shown.
If a cross section of the block is cut in a plane parallel to the base of the pyramid, which of the following shapes describes the cross section? (5 points)
a
Triangle
b
Rectangle
c
Trapezoid
d
Hexagon
Answers
Step-by-step explanation:
A shaded right rectangular pyramid is shown. where is the shade rectangular pyramid....how do I know the answer when you did post the full
question
Find the lcm of ÷ 16a^4+4a^2+169,8a^3+2a(2a+13)+16a^2
Answers
Answer:
Step-by-step explanation:
Hope this helps u !!
The LCM of 2a(4a² + 10a + 13)(4a² + 13 - 10a).
What is Least Common Multiple?Least Common Multiple, often known as the Lowest Common Multiple, is denoted by the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It can also be computed using two or more numbers.
The smallest number among all the common multiples of the provided numbers is the least common multiple of two or more numbers.
We have,
16[tex]a^4[/tex] + 4a² + 169 and 8a³ +2a(2a + 13) + 16a²
First, 16[tex]a^4[/tex] + 4a² + 169
= (4a²)² + (2a)² + (13)²
= (4a²)² + 2 . 4a² . 13 + (13)² + 4a² + 104a²
= (4a² + 13)² - (10a)²
= (4a + 13 - 10a) (4a + 13 + 10a)
= (13 - 6a)(13 + 14a)
Second, 8a³ +2a(2a + 13) + 16a²
= 8a³ + 4a² + 26a + 16a²
= 8a³ + 20a² + 26a
= 2a(4a² + 10a + 13)
So, the LCM is
= 2a(4a² + 10a + 13)(4a² + 13 - 10a)
Learn more about LCM here:
https://brainly.com/question/20739723
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B.) What fraction of the cost is spent on food and entertainment? Food- 17%. Entertainment- 24 they have 3000 for vacation
Answers
Answer:
Amount spent on food = 510
Amount spent on entertainment = 720
Step-by-step explanation:
They have 3000 for vacation.
Amount spent on food = 17% of 3000
or 17/100*3000
17*30= 510
Amount spent on entertainment = 24% of 3000
or 24/100*3000
24*30= 720
Evaluate 15/r - 1 when r =5
Answers
Answer:
3.75
Step-by-step explanation:
calculator because yes:)
URGENT PLEASE HELP ME !!!!
Answers
Answer:
CO
Step-by-step explanation:
Conditional: If p, then q.
Converse: If q, then p.
Conditional: If the measure of an angle is 90 degrees, then it is a right angle.
If p, then q.
p = the measure of an angle is 90 degrees
q = it is a right angle
Converse:
If q, then p.
If it is a right angle, then the measure of the angle is 90 degrees.
Answer: CO
Classify the following triangle. Check all that apply.
DA. Isosceles
D B. Obtuse
C. Scalene
E D. Acute
E E. Equilateral
D F. Right
Answers
Answer:
A . Isosceles
Step-by-step explanation:
An isosceles triangle has both two equal sides and two equal .
Find the scale factor and determine the type of the dilation.
Answers
Both answers are B
the graph of y=3x+=4 is
Answers
Answer:
Step-by-step explanation:
The answer is B.
It's a line that shows every point that satisfies the equation
y = 3x + 4 which is what I think you meant (but I'm not sure). If I am correct then there are a million possible points that could be the answer to this question.
If I am not correct, leave a comment that tells me so, and I'll revise my answer.
Never mind the question has the right equation. And my answer remains as given.
The ________ is the distance around a circle.
A. Radius
B. Diameter
C. Circumference
D. area
Answers
Answer:
the distance is called the circumference
Sue travels 876 miles roundtrip to visit her parents. What is the total distance in miles she would fly for 12 visits to her parents? All I need is the total distance in MILES, Please help! First answer that helps me alot will get a brainliest!
Answers
Answer:
2 miles
Step-by-step explanation:
Answer:
10,512 miles
Step-by-step explanation:
876 x 12 = d (d is distance)
Solving the multiplication above, 876 x 12 would equal 10,512 miles
hi pls help me out asap 1
Answers
Answer:
B: 112.5
Step-by-step explanation:
first, we split up the rhombus into two triangles, with the height of 15 and the length of 7.5. when you multiply these you will get 112.5, and normally if you are just getting the area of the triangle, then you would divide it by two, but seeing that we have 2 triangles here, we would multiply it by two afterwards so an easier way to do it is just to not divide.
Help ASAP ! Find PN triangle proportionality
Answers
MQ : QN = 2 : 5
MQ : QN = LP : PN
2 : 5 = 3 : PN
That means PN = 15/2
Find the 7th term in the
sequence.
-1, 2, -4, 8,...
Hint: Write a formula to help you.
1st term . Common Ratio desired term – 1)
Remember to use the correct Order of Operations!
Enter
Answers
Answer: -64 Maybe
Step-by-step explanation:
It look like each term goes up by double of the last term.
1. Which is NOT a solution to the inequality below?
3x + 13 ≥ -8
-8
-7
-6
-5
Answers
Answer:
-8 is not a solution to the inequality
Step-by-step explanation:
[tex]3x + 13 \geqslant - 8 \\ 3x \geqslant - 21 \\ x \geqslant - 7 \\ [/tex]
Step-by-step explanation:
everything can be found in the picture
Jasmine drew triangles on a globe and on a flat map of the world, as shown below.Which is a true statement comparing Jasmine’s two drawings?
A. The angle sum of the triangle on the globe is equal to the angle sum of the triangle on the map.
B. The angle sum of the triangle on the globe is greater than the angle sum of the triangle on the map.
C. The New York to Buenos Aires line and the Paris to Buenos Aires line intersect at only one point on the map and only one point on the globe.
D. There is only one line connecting New York to Paris on the map but more than one line connecting New York to Paris on the globe
Answers
Answer:
B
Step-by-step explanation:
OEMJIGOVNarioendsdmarfwsipf JUST BELIEVE, also looking is good
The true statements on comparing Jasmine’s two drawings are B and C.
What is Angle Sum Property of a Triangle ?The sum of a finite traingle's interior angle is equal to 180° and this is called the Angle Sum Property of a Triangle.
It is given in the question
Jasmine drew triangles on a globe and on a flat map of the world
On comparing both the triangle the conclusions are
The triangle drawn on the globe is a spherical triangle and the angle sum of the interior angle will be greater that the two right angles or 180°.
Among the option given this is also true that
The New York to Buenos Aires line and the Paris to Buenos Aires line intersect at only one point on the map and only one point on the globe
Therefore option B and C are both true statement comparing Jasmine’s two drawings .
To know more about Angle Sum Property
https://brainly.com/question/8492819
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