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
kondor19780726 [428]
3 years ago
14

What is m∠G ?

Mathematics
2 answers:
HACTEHA [7]3 years ago
5 0

Answer:\angle G = 121°

Explanation:

Since, we know that, the sum of all three angles of a triangle is 180°.

And, it is given in \triangle ABC, \angle T = (x-5)°, \angle H= x°, \angle G= (3x+25)°

But, \angle T+\angle H+\angle G= 180°

So, (x-5)°+ x°+ (3x+25)°=180°

⇒5x+20°=180⇒5x=160⇒x=32°

So, \angle G= 3×32°+25°=121°


Minchanka [31]3 years ago
3 0
Sum of angles in a triangle = 180°, then:

∠H + ∠F + ∠G = 180°

(x°) + (x-5)° + (3x+25)° = 180°
Remove all parenthesis and computr

x+x-5+3x+25 = 180
5x + 20 = 180
5x=160
x = 32°, then ∠G = 3x+25 = 3(32)+25 = 121°

You might be interested in
George and Paul use a metal alloy that is 18.1% copper to make jewelry. How many ounces of an alloy that is 14% copper must be m
ella [17]

Answer:

Use 49 ounces of the 14% allow and 41 ounces of the 23% alloy.

Step-by-step explanation:

Each ounce of the 14% copper contains 0.14 ounce of pure copper.

Each ounce of the 23% copper contains 0.23 ounce of pure copper.

Each ounce of the 18.1% copper contains 0.181 ounce of pure copper.

Use x ounces of the 14% and y ounces of the 23% to make 90 ounces of 18.1% alloy.

x+y  = 90

y = 90-x

0.14x + 0.23y = 0.181·90

0.14x + 0.23(90-x) = 16.29

0.14x + 20.7 - 0.23x = 16.29

-0.09x + 20.7 = 16.29

4.41 = 0.09x

x = 49

y = 90-x = 41

Use 49 ounces of the 14% allow and 41 ounces of the 23% alloy.

7 0
3 years ago
Can two lines be drawn from a point not on a line that will meet the line at a right angle? at a 45° angle? explain each answer.
vichka [17]
I believe the the correct answer would be yes. Two lines can be drawn from a point that is not collinear with a certain line that will meet the line at a right angle or 90 degree angle and at an angle of 45 degrees. We can freely draw any line that would pass through a given point and would cross a given line at any direction giving us different angles and this would include a 90 and 45 degree angle.
5 0
3 years ago
(8.03 LC)
Blizzard [7]

y = 4x + 8

y = 4x + 2

y = y

4x + 8 = 4x + 2

8 = 2

6 0
3 years ago
What is the answer to 5+5(x+4)≤20?
Nata [24]
5+5\left( x+4 \right) \le 20\\ \\ 5\left\{ 1+\left( x+4 \right)  \right\} \le 20\\ \\ \frac { 1 }{ 5 } \cdot 5\left\{ 1+\left( x+4 \right)  \right\} \le 20\cdot \frac { 1 }{ 5 }

\ \\ 1+\left( x+4 \right) \le 4\\ \\ 1+x+4\le 4\\ \\ x+5\le 4\\ \\ x\le 4-5\\ \\ x\le -1
7 0
3 years ago
Read 2 more answers
A sprinkler rotates 360 degrees the total are watered is 204yds squared<br> what is the raduius
SIZIF [17.4K]

The radius of the area the sprinkler has watered is 8.06 yards.

<h3>What is Rotation ?</h3>

Rotation is spinning around a fixed point with a fixed radius in circular motions.

It is given that a sprinkler rotates 360 degree

The area watered is 204 sq. yards

Radius = ?

A sprinkler rotates in circle

Therefore the area of the circle = π r²

204 = π r²

204 * 7 /22 = r²

r² = 64.91

r = 8.06 yards

Therefore the radius of the area the sprinkler has watered is 8.06 yards.

To know more about Rotation

brainly.com/question/1571997

#SPJ1

4 0
2 years ago
Other questions:
  • Which of the expression can be used to find the area of a square with a side length of 1/3 m
    14·1 answer
  • Find x if g(x) = 16<br> this is for algebra 2
    12·1 answer
  • A number plus 1/3 of the number can be expressed as:
    9·1 answer
  • Which one is the right one?
    10·1 answer
  • Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures θ radians (where 0≤θ&lt;2π)
    8·1 answer
  • What is a formula for the nth term of the given sequence?<br> 6, 12, 24...
    7·1 answer
  • A farm has 6 chickens, 4 ducks, 2 pigs and 4 cows. If an animal is chosen at random, find P(Cow | 2 legs)
    11·2 answers
  • Question 2 of 10
    5·1 answer
  • How are perpendicluar lines diffirence with intersecting lines
    12·2 answers
  • Simplify the expression shown. [(25 × 16) + (75 × 16)] ÷ (3 + (-3) – 10)
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!