Answer:
see explanation
Step-by-step explanation:
(5)
Since ∠EBA = 90° then ∠ABD = 90° ( straight angle ) and
∠ABC + ∠CBD = ∠ABD, that is
2x + 3x - 10 = 90, simplifying
5x - 10 = 90 ( add 10 to both sides )
5x = 100 ( divide both sides by 5 )
x = 20, thus
∠ABC = 2x = 2 × 20 = 40°
∠CBD = 3x - 10 = (3 × 20) - 10 = 60 - 10 = 50°
(6)
4x - 18 = 3x + 7 ( vertical angles are congruent )
Subtract 3x from both sides
x - 18 = 7 ( add 18 to both sides )
x = 25
7y = 5y + 28 ( vertical angles are congruent )
Subtract 5y from both sides
2y = 28 ( divide both sides by 2 )
y = 14
Answer:
help* not gelp
Step-by-step explanation:
but i.d.k im so sry
Answer: 51.75$
Step-by-step explanation: First, turn 15% into the decimal 0.15, then multiply by 45, which equals 6.75. Now add 6.75, which is the amount the waitress got tipped to 45, which equals 51.75$ total.
Step 1
<u>Find the value of s</u>
we know that
In a Rhombus all sides are congruent
so
equate AB and CD
Combine like term
<u>The answer Part a) is</u>
the value of s is 
Step 2
<u>Find the value of side AB</u>
substitute the value of s
Remember that the sides are congruent
therefore
<u>the answer Part b) is</u>
The length of the side BC is 
<h3>
Answer: 72.54</h3>
====================================================
Explanation:
We set up a cosine ratio, since we want to connect the adjacent and hypotenuse. Then we'll use the inverse cosine, which is also known as arccosine, to isolate the angle value.
This is what your steps could look like:
cos(angle) = adjacent/hypotenuse
cos(L) = LM/LN
cos(L) = 18/60
cos(L) = 0.3
L = arccos(0.3)
L = 72.542396876278 which is approximate
L = 72.54 degrees approximately
Make sure your calculator is in degree mode.
