The missing values are 28° and 62°
<h3>What are perpendicular lines?</h3>
Perpendicular lines are said to be two lines that intersect or meet each other at right angles, that is 90 degrees.
From the information given, we have that;
Line AC ⊥ Line BE
Where:
- m ∠ ADE = (x + 5)°
- m ∠ DBE = (3x - 7)°
Hence,
x + 5 + 3x - 7 = 90
collect like terms
4x = 90 + 2
4x = 92
Make 'x' the subject
x = 92/ 4
x = 23
For the missing values
m ∠ ADE = (x + 5)° = ( 23 + 5) = 28°
m ∠ DBE = (3x - 7)° = (3(23) - 7) = 62°
Thus, the missing values are 28° and 62°
Learn more about perpendicular lines here:
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Answer:
Age of Mel is 25 years.
Step-by-step explanation:
It is given that,the sum of Ali and Mel's age is 39. If Mel is 3 years younger than twice Ali's age.
Let 'x' be the Ali's age and 'y' be the Mel's age
<u>To find the value of x and y</u>
sum of Ali and Mel's age is 39
⇒ x + y = 39 ------(1)
Mel is 3 years younger than twice Ali's age
⇒ y = 2x - 3 -------(2)
⇒ 2x - y = 3 -----(3)
(1) + (3) ⇒
x + y = 39
2x - y = 3
----------------
3x = 42
x = 42/3 = 14
y = 2x - 3 = 14*2 - 3 = 25
Therefore the age of Ali = 14
Age of Mel = 25
Answer:
The side lengths are 1.5m and 2.5m.
Step-by-step explanation:
Answer:
PEMDAS, do multiplication first then, adddition, then subtraction
Step-by-step explanation:
