Answer:
-11
Step-by-step explanation:
Triangle ABC
SO,
AB = AC +BC
x + 8 = 2x -5 + (BD + DC)
x + 8 = 2x-5 + 10 +14
x + 8 = 2x + 19
2x - x = -19 + 8
x = -11
Answer:
10 + 3 = 13
Step-by-step explanation:
I hope it's ryt
The values of x in the triangles and the angles in the rhombus are illustrations of tangent ratios
- The values of x in the triangles are 21.4 units, 58 degrees and 66 degrees
- The angles in the rhombus are 44 and 46 degrees, respectively
<h3>How to determine the values of x?</h3>
<u>Triangle 1</u>
The value of x is calculated using the following tangent ratio
tan(25) = 10/x
Make x the subject
x = 10/tan(25)
Evaluate
x = 21.4
<u>Triangle 2</u>
The value of x is calculated using the following tangent ratio
tan(x) = 8/5
Evaluate the quotient
tan(x) = 1.6
Take the arc tan of both sides
x = arctan(1.6)
Evaluate
x = 58
<u>Triangle 3</u>
The value of x is calculated using the following tangent ratio
tan(x) = 0.34/0.15
Evaluate the quotient
tan(x) = 2.27
Take the arc tan of both sides
x = arctan(2.27)
Evaluate
x = 66
<h3>How to calculate the angles of the rhombus?</h3>
The lengths of the diagonals are:
L1 = 2 in
L2 = 5 in
Represent the angles with x and y.
The measures of the angles are calculated using the following tangent ratios
tan(0.5x) = 2/5 and y = 90 - x
Evaluate the quotient
tan(0.5x) = 0.4
Take the arc tan of both sides
0.5x = arctan(0.4)
Evaluate
0.5x = 22
Divide by 0.5
x = 44
Recall that:
y = 90 - x
This gives
y = 90 - 44
Evaluate
y = 46
Hence, the angles in the rhombus are 44 and 46 degrees, respectively
Read more about tangent ratio at:
brainly.com/question/13347349
Answer:
Step-by-step explanation:
Length = x+3
Width = x-1
Area = l*b
where l is the length of the bedroom
and b is the breadth or width of the bedroom
The polynomial can be written as:
Area=(x+3)(x-1)
Now we will find the area of the room when x=10
First we will find the values of length and width.
Length = x+3
Length = 10+3 = 13
Width = x-1
Width = 10-1=9
Now put the values in the formula:
Area=l*b
Area=13*9
Area = 117 square feet....
Answer:
If r = 6 cm, the the circumference is c = 2π(6) = 12π cm
HOPE THIS HELPS AND PLS MARK AS BRAINLIEST
THNXX :)
