Answer:
The first one is the answer
Answer:
(9,-6)
(9,2)
(8,2)
(8,-6)
Step-by-step explanation:
To reflect something over the y axis all you have to do is change the sign of the X coordinate
which means that
(-9,-6) is (9,-6)
The other answers are
(9,2)
(8,2)
(8,-6)
Answer:
17
Step-by-step explanation:
To find the number of green beads that Felicia used, we first need to list out what we know.
Let x = number of green beads.
Yellow Beads = 153
So we get:
x*9 = 153
We divide both sides by nine to find the value of x.
x = 17
To see if we got the answer correct, let's substitute x.
x * 9 = 153
17 * 9 = 153
153 = 153
C equals 17.5 you have to cross multiply to find what c is equal to
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
