Answer:
∠AEC = 139°
Step-by-step explanation:
Since EC bisects ∠BED then ∠BEC = ∠CED = 4x + 1
∠AED = ∠AEB + ∠BEC + ∠CED = 180 ← straight angle
Substitute values into the equation
11x - 12 + 4x + 1 + 4x + 1 = 180, that is
19x - 10 = 180 ( add 10 to both sides )
19x = 190 ( divide both sides by 19 )
x = 10
Hence
∠AEC = ∠AEB + ∠BEC = 11x - 12 + 4x + 1 = 15x - 11, hence
∠AEC = (15 × 10) - 11 = 150 - 11 = 139°
The cosine is the ratio of hypotenuse and base. Then the measure of the angle ∠L will be 60°.
<h3>What is trigonometry?</h3>
The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The right-angle triangle is given below.
The length of the hypotenuse is 16 and the base length is 5.
Then the measure of the angle ∠L will be
cos L = 5 / 10
cos L = 1 / 2
L = cos⁻¹ (1 / 2)
L = 60°
More about the trigonometry link is given below.
brainly.com/question/22698523
#SPJ1
12:00-9:30 = 2:30
12:30+8:30 = 8:30
2:30 + 8:30 = 11:00
11 total hours elapsed
<h3><u>Question:</u></h3>
Isabella’s rain gauge showed 3 4/5 centimeters (cm) last Tuesday. This Tuesday, the rain gauge showed 5 7/10 centimeters. How many more centimeters of rain fell during the week?
A 9 1/2cm B 8 1/2cm c 2 4/5cm D 1 9/10 cm
<h3><u>Answer:</u></h3>
Option D
more centimeters of rain fell during this week than last week
<h3><u>Solution:</u></h3>
From given,
Also given that,
<em><u>How many more centimeters of rain fell during the week?</u></em>
Thus more centimeters of rain fell during this week than last week
Answer:
(x+3, y+2)
Step-by-step explanation:
choose a letter: let's use points A and A'
A: (-3, 3)
A': (0, 5)
the rule would be (x+3, y+2) because (-3+3, 3+2) = (0,5)
Try it on another point:
B: (-4, 0)
B': (-4+3, 0+2) = (-1, 2) which checks out!
