Let's solve this problem step-by-step.
STEP-BY-STEP EXPLANATION:
We will be using simultaneous equations to solve this problem.
The sum of angles on a straight line is 180°.
( R ) and ( 2x + 5 ) are both on the same straight line.
Therefore:
Equation No. 1 -
R + 2x + 5 = 180
R = 180 - 2x - 5
R = 175 - 2x
Vertically opposite angles are equivalent to each other.
( R ) is vertically opposite ( 3x + 15 ).
Therefore:
Equation No. 2 -
R = 3x + 15
Substitute the value of ( R ) from the first equation into the second equation to solve for ( x )
R = 3x + 15
175 - 2x = 3x + 15
- 2x - 3x = 15 - 175
- 5x = - 160
x = - 160 / - 5
x = 160 / 5
x = 32
Next we will substitute the value of ( x ) from the second equation into the first equation to solve for ( R ).
Equation No. 2 -
R = 175 - 2x
R = 175 - 2 ( 32 )
R = 175 - 64
R = 111
FINAL ANSWER:
Therefore, the answer is:
R = 111
x = 32
Hope this helps! :)
Have a lovely day! <3
X
4
−34x
2
+225=0
2 Factor
x
4
−
34
x
2
+
225
x
4
−34x
2
+225.
(
x
2
−
25
)
(
x
2
−
9
)
=
0
(x
2
−25)(x
2
−9)=0
3 Solve for
x
x.
x
=
±
5
,
±
3
x=±5,±3
Answer:
y = 5x + 5
Step-by-step explanation:
m = 5
y = mx + b
25 = 5(4) + b; b = 5
y = 5x + 5
Answer: 2 aka B
Step-by-step explanation: the answers B :)
<u>Given:</u>
The angle of elevation from the point on the ground to the top of the tree is 34° and the point is 25 feet from the base of the tree.
We need to determine the height of the tree.
<u>Height of the tree:</u>
Let the height of the tree be h.
The height of the tree can be determined using the trigonometric ratio.
Thus, we have;
Substituting the values, we get;
Multiplying both sides by 25, we have;
Rounding off to the nearest tenth of a foot, we get;
Thus, the height of the tree is 16.9 feet.
Hence, Option B is the correct answer.
