m∠K = 55°
Solution:
Given JKLM is a isosceles trapezoid.
Measure of ∠M = (11x – 18)° and Measure of ∠K = (3x + 16)°
In a isosceles trapezoid opposite angles are supplementary.
⇒ m ∠M + m ∠K = 180°
⇒ (11x – 18)° + (3x + 16)° = 180°
⇒ 11x° – 18° + 3x° + 16° = 180°
Combine like terms together.
⇒ 11x° + 3x° + 16° – 18° = 180°
⇒ 14°x – 2° = 180°
⇒ 14°x = 180° + 2°
⇒ 14°x = 182°
⇒ x = 13°
Substitute x = 13° in m ∠K.
⇒ m∠K = 3(13°) + 16°
⇒ m∠K = 39° + 16°
⇒ m∠K = 55°
Hence m∠K = 55°.
The resulting equation of that step is the square root of (x + 2)² is (x + 2).
<h3>What is the square root function?</h3>
A square root function is defined as a one-to-one function that takes a positive number as an input and returns the square root of the given input number.
From there, it was pretty easy for Theo to find the solutions
to the original equation.
If (x + 2) = +2 , then x = 0 .
If (x + 2) = -2 , then x = -4
Hence, the resulting equation of that step is the square root of (x + 2)² is (x + 2).
To know more about the square root function click the link given below.
brainly.com/question/4480283
Step-by-step explanation:
base x height
15 x 28= 420 in
7) 4/18 + 5/18 = 9/18 = 1/2
8) 3/18 + 4/18 + 5/18 = 12/18 = 4/5
Answer:
-24
Step-by-step explanation:
you first do the parenthesis first then you do 3x4 12 then you add 9 and then -48 so your at negative 40 then you do 8+8 which is 16.