Answer:
<u>∠AEB = 72°</u>
Step-by-step explanation:
<u>Finding x</u>
- ∠AEB = ∠DEC (Vertically opposite angles)
- 7x - 5 = 2(4x - 8)
- 7x - 5 = 8x - 16
- 8x - 7x = -5 + 16
- x = 11
<u>Finding ∠AEB</u>
- 7x - 5
- 7(11) - 5
- 77 - 5
- <u>∠AEB = 72°</u>
Answer:
x=1/3
Step-by-step explanation:
9x+5-3=5
9x=3
x=1/3
By using trigonometric relations, we will see that:
AC = 15.6 in
AB = 8.4 in.
<h3>
How to get the measures of the other two sides of the right triangle?</h3>
Here we have the right triangle where:
B = 90°
C = 40°
BC = 10 in.
Notice that is the adjacent cathetus to the angle C, then we can use the two relations:
- sin(a) = (adjacent cathetus)/(hypotenuse).
- tan(a) = (opposite cathetus)/(adjacent cathetus).
Where:
- hypotenuse = AC
- opposite cathetus = AB.
Then we will have:
sin(40°) = 10in/AC.
AC = 10in/sin(40°) = 15.6 in
tan(40°) = AB/10in
tan(40°)*10in = AB = 8.4 in.
So we can conclude that for the given right triangle we have:
AC = 15.6 in
AB = 8.4 in.
If you want to learn more about right triangles:
brainly.com/question/2217700
#SPJ1
Answer:
41
Step-by-step explanation:
BIDMAS
[5 x (4 + 6) - 9]
Brackets first
4 + 6 = 10
[5 x (10) - 9]
Multiply next
5 x 10 = 50
Subtract last
50 - 9 = 41
Given this equation:

That represents t<span>he height of a tree in feet over (x) years. Let's analyze each statement according to figure 1 that shows the graph of this equation.
</span>
The tree's maximum height is limited to 30 ft.
As shown in figure below, the tree is not limited, so this statement is false.
<span>
The tree is initially 2 ft tall
The tree was planted in x = 0, so evaluating the function for this value, we have:
</span>

<span>
<span>So, the tree is initially

tall.
</span>
Therefore this statement is false.
</span>
Between the 5th and 7th years, the tree grows approximately 7 ft.
<span>
if x = 5 then:
</span>

<span>
</span>if x = 7 then:

So, between the 5th and 7th years the height of the tree remains constant
:

This is also a false statement.
<span>
After growing 15 ft, the tree's rate of growth decreases.</span>
It is reasonable to think that the height of this tree finally will be 301ft. Why? well, if x grows without bound, then the term

approaches zero.
Therefore this statement is also false.
Conclusion: After being planted this tree won't grow.