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tia_tia [17]
3 years ago
9

Geometry help please!!!

Mathematics
1 answer:
julia-pushkina [17]3 years ago
7 0
Before we begin, let's identify what kind of angles these are and are they related in any way?

These angles are both acute and they are both corresponding angles.
Corresponding angles are equal to each other, and we can use this fact to our advantage.

Since they are equal to each other, we can set the equations of 1 and 2 equal to each other. Like so,

1 = 2
83 - 2x = 92 - 3x

Now, we can solve for X by isolating it on one side.

83 - 2x = 92 - 3x

Add 3x to each side: (This basically moves the X on the right side to the left.)
83 - 2x + 3x = 92 - 3x + 3x
83 + x = 92

Subtract 83 on each side to isolate the X.
83 + x - 83 = 92 - 83 
x = 92 - 83
x = 9

Therefore, X equals 9. To check our work, we can substitute X for 9.
83 - 2(9) = 92 - 3(9)
83 - 18 = 92 - 27
65 = 65  - 
TRUE

So to conclude, Angle 1 is 65 degrees, Angle 2 is 65 degrees, and X equals 9.

Hope I could help you out!
If my answer is incorrect, or I provided an answer you were not looking for, please let me know. However, if my answer is explained well and correct, please consider marking my answer as Brainliest!  :)

Have a good one.
God bless!
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What is the volume of a sphere with a radius of 5 meters rounded to the nearest square meter.
-BARSIC- [3]

Step-by-step explanation:

V = 4/3 π r³

V = 4/3 π (5 m)³

V = 524 m³

8 0
3 years ago
Which represents a function?
VLD [36.1K]

Answer:

\boxed{  \text{Option \: D}}

Step-by-step explanation:

All the relations are not functions. We can determine ( identify ) whether a relation is function or not by drawing a vertical line intersecting the graph of the relation. This is called vertical line test.

  • If the vertical line intersects the graph of a relation at one point , the relation is a function .
  • If it cuts at more than one point , it is not a function. It means that if there are more points of the graph of a relation of a vertical line , same first component ( pre - image ) has more images ( second component ) which is not the function by definition.

--------------------------------------------------

Let's check all of the options :

☐ Option A :

  • The vertical line cuts the graph at two points. So , the graph does not represent a function.

☐ Option B

  • No! This is also not a function as the vertical line cuts the graph at two points.

☐ Option C

  • Nah! This too can't be called a function as the vertical line cuts the graph at two points.

☑ Option D

  • Yep! The vertical line cuts the graph at one point. Thus , the graph represents a function.

Yayy!! We found our answer. It's ' Option D '.

Hope I helped ! ツ

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

4 0
3 years ago
What is the value of a in the equation 3+b=54 when b = 9
Fed [463]

Answer:

3a + b = 54

3a + 9 = 54

3a = 54 - 9

3a = 45

3a / 3 = 45 / 3

a = 15

5 0
3 years ago
How many triangles can be constructed with the following measures?
sleet_krkn [62]
I got the answer by adding the triangles
4 0
2 years ago
The angle of elevation from an observer to the bottom edge of the Delaware River drawbridge observation deck located 200 feet fr
aleksklad [387]

The height of the chimney above the floor of the observation deck is 52.4 ft

Two right angle triangle will be formed.

<h3>Right angle triangle:</h3>

Right angle triangle are triangle that has one of its angle as 90 degrees.

Therefore, using trigonometric ratio,

adjacent side = distance of observer from the bottom edge of the Delaware River drawbridge observation deck

Therefore,

tan 40 = opposite / adjacent

Where

x = height of the observer to the top of the observation deck

tan 40 = x / 200

x = 200 tan 40

x = 167.819926235

x = 167.82 ft

tan 30 = opposite / adjacent

y = height of the observer to the bottom of the observation deck

tan 30 = y / 200

y = 200 tan 30

y = 115.470053838

y = 115.47 ft

The height of the chimney above the floor of the observation deck = height of the observer to the top of the observation deck - height of the observer to the bottom of the observation deck

The height of the chimney above the floor of the observation deck = 167.82 - 115.47 = 52.35 ft

learn more on trigonometric ratio here: brainly.com/question/23854119

5 0
3 years ago
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