Answer:
<h2>47°</h2>
Step-by-step explanation:
Given m∠JML = 80 and m∠KML = 33, to calculate the value of angle m∠JMK, we will apply the formula since all the angles are all acting at point M.
m∠JML = m∠JMK+m∠KML
Substituting the values given into the equation;
80 = m∠JMK + 33
subtract 33 from both sides of the equation
m∠JMK = 80-33
m∠JMK = 47°
<em>Hence the value of angle m∠JMK is 47°</em>
Answer: y = 4
Step-by-step explanation:
To solve, we will isolate the y variable.
Given:
4(y + 4) = 32
Distribute the 4 with multiplication:
4y + 16 = 32
Subtract 16 from both sides of the equation:
4y = 16
Divide both sides of the equation by 4:
y = 4
To factor this notable trinomial, you have to find two numbers that summes give -5 and multiplied give 6*(-25) = -150
Then let's call n1 and n2 the two numbers and a the number before x^2 (6)
ax^2+sx+fn = (ax + n1)(x + n2/a)
Numbers are -15 and +10
-15+10 = -5
-15*10 = -150
So
(6x-15)(x + 10/6)
Or write it as a sum
6x^2 + 10x - 15x - 25
And factor
6x^2 + 10x = 2x(3x+5)
-15x-25 = -5(3x+5)
(2x-5)(3x+5)