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:
The reasonable measurement in question 1 is D - the distance from New York to California is 2,250 miles. The best unit of measurement for the length of the distance of your textbook is A - inch.
Step-by-step explanation:
The United States uses the Imperial System of measurement which uses things such as inches, feet, yards and miles. In order to understand reasonable measurements, you need to first realize the order in which size would be determined. For instance, 12 inches is equal to one foot, which can be found on your typical ruler. Additionally, three feet is equal to one yard, which we can find on a yard stick. Lastly, there are 1,760 yards in one mile, which is typically measured with some time of pedometer/odometer. So, when you think about calculating measurement for common things such as a pencil or distance between cities, think about whether this distance could be measured using a ruler or perhaps the odometer on a car.
I think its c. The communicative property of multiplication state that you can multiply in any order <span />
Answer:
y= -6
Step-by-step explanation:
-9y+6=-10y
+10y. +10y
y+6=0
-6. -6
y=-6
