1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Romashka [77]
3 years ago
5

angle EFG and angle GFH are a linear pair, m angle GFH= 2n+38 and m angle GFH=2n+38. what are m angle EFG and m angle GFH

Mathematics
2 answers:
givi [52]3 years ago
7 0

Answer:

m

m

Step-by-step explanation:

angle EFG and angle GFH are a linear pair

m<EFG +m<GFH = 180 degree because it is linear pair

m<EFG= 3n+22 and m<GFH=2n+38

m<EFG +m<GFH = 180

3n+22+2n+38=180

Combine like terms

5n+60=180

Subtract 60 from both sides

5n=120

Divide both sides by 5

n=24

m

m

motikmotik3 years ago
5 0

Answer:

Part 1) m∠EFG=94°

Part 2) m∠GFH=86°

Step-by-step explanation:

we know that

m∠EFG+m∠GFH=180° -----> by linear pair (given problem)

we have

m∠EFG=3n+22

m∠GFH=2n+38

substitute the values

(3n+22)°+(2n+38)°=180°

Solve for n

(5n+60)=180

5n=180-60

5n=120

n=24

<em>Find the measure of angle EFG</em>

m∠EFG=3n+22

substitute the value of n

m∠EFG=3(24)+22=94°

<em>Find the measure of angle GFH</em>

m∠GFH=2n+38

substitute the value of n

m∠GFH=2(24)+38=86°

You might be interested in
Bob ran 7 times a week for a number of weeks what is the algebraic phrases
34kurt

Answer:

I'd assume 7 times x, or 7x

Step-by-step explanation:

Algebraic phrases don’t include the equal sign and based on the information you gave me, I think 7x is the answer.

8 0
2 years ago
In one soccer season, a goalie saved 150 out of
Maru [420]

Answer:

0.81 (rounded to the nearest hundredth) & 81%

Step-by-step explanation:

150/185 = 30/37 ≈ 0.81 (rounded to the nearest hundredth)

0.81 is 81%

7 0
1 year ago
Solve the system below by elimination -2x-9y=-25
xz_007 [3.2K]
I think it’s 2x+9y-25=0
3 0
3 years ago
XY is a diameter of a circle and Z is a point on the circle such that ZY=6. If the area of the triangle XYZ is 18 square root 3
nataly862011 [7]
<h2>Answer:</h2>

4π

<h2>Step-by-step explanation:</h2>

As shown in the diagram, triangle XYZ is a right triangle. Therefore, its area (A) is given by:

A = \frac{1}{2} x b x h      -------------(i)

Where;

A = 18\sqrt{3}

b = XZ = base of the triangle

h = YZ = height of the triangle = 6

<em>Substitute these values into equation(i) and solve as follows:</em>

18\sqrt{3} =  \frac{1}{2} x b x 6

18\sqrt{3} =  3b

<em>Divide through by 3</em>

6\sqrt{3} =  b

Therefore, b = XZ = 6\sqrt{3}

<em>Now, assume that the circle is centered at O;</em>

Triangle XOZ is isosceles, therefore the following are true;

(i) |OZ| = |OX|

(ii) XZO = ZXO = 30°

(iii) XOZ + XZO + ZXO = 180°   [sum of angles in a triangle]

=>  XOZ + 30° + 30° = 180°

=>  XOZ + 60° = 180°

=>  XOZ = 180° - 60°

=>  XOZ = 120°

Therefore we can calculate the radius |OZ| of the circle using sine rule as follows;

\frac{sin|XOZ|}{XZ} = \frac{sin|ZXO|}{OZ}

\frac{sin120}{6\sqrt{3} } = \frac{sin 30}{OZ}

\frac{\sqrt{3} /2}{6\sqrt{3} } = \frac{1/2}{|OZ|}

\frac{1}{12}  = \frac{1}{2|OZ|}

\frac{1}{6} = \frac{1}{|OZ|}

|OZ| = 6

The radius of the circle is therefore 6.

<em>Now, let's calculate the length of the arc XZ</em>

The length(L) of an arc is given by;

L = θ / 360 x 2 π r          ------------------(ii)

Where;

θ = angle subtended by the arc at the center.

r = radius of the circle.

In our case,

θ = ZOX = 120°

r = |OZ| = 6

Substitute these values into equation (ii) as follows;

L = 120/360 x 2π x 6

L = 4π

Therefore the length of the arc XZ is 4π

5 0
2 years ago
What two letters don't appear on the telephone dial​
vekshin1

Answer:

Two letters that don't appear is q and z.

6 0
2 years ago
Read 2 more answers
Other questions:
  • Tell if the slope is positive, negative, zero, or no slope.
    6·2 answers
  • Please help with this problem.
    15·1 answer
  • Joe drew a circle Whose Circumference is 25 cm Mario drew a circle who is diameters three times the dynamic number of Joe Circle
    12·1 answer
  • What is a multi-step equation with an answer of x= 1
    8·2 answers
  • PLEASE HELP I GIVE THANKS
    11·1 answer
  • One card is randomly selected from a deck of cards. Determine the probability that the card selected is an ace
    12·1 answer
  • The area of the triangle below is 4.5 square inches. What is the length of the base?
    12·1 answer
  • A wagon is pulled along level ground by exerting a force of 38 pounds on a handle that makes an angle of 30 with the horizontal.
    15·1 answer
  • PLEASE HELP ME.. (no links)
    13·2 answers
  • 11. On the first of the month the balance of
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!