Question 4 of 5
1 answer:
The solution set of -4(x + 3) ≤ -21 is x ≥ 2.25
<h3>How to graph the solution set?</h3>The inequality is given as:
-4(x + 3) ≤ -21
Divide both sides by -4
x + 3 ≥ 5.25
Subtract 3 from both sides
x ≥ 2.25
This means that the solution set of -4(x + 3) ≤ -21 is x ≥ 2.25
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Answer:
m=
n=7
Step-by-step explanation:
Hi there!
We are given a right triangle (notice the 90°) angle, the measure of one of the acute angles as 60°, and the measure of the hypotenuse (the side OPPOSITE from the 90 degree angle) as 14
We need to find the lengths of m and n
Firstly, let's find the measure of the other acute angle
The acute angles in a right triangle are complementary, meaning they add up to 90 degrees
Let's make the measure of the unknown acute angle x
So x+60°=90°
Subtract 60 from both sides
x=30°
So the measure of the other acute angle is 30 degrees
This makes the right triangle a special kind of right triangle, a 30°-60°-90° triangle
In a 30°-60°-90° triangle, if the length of the hypotenuse is a, then the length of the leg (the side that makes up the right angle) opposite from the 30 degree angle is , and the leg opposite from the 60 degree angle is
In this case, a=14, n=, and m=
Now substitute the value of a into the formulas to find n and m to find the lengths of those sides
So that means that n=, which is equal to 7
And m=, which simplified, is equal to
Hope this helps!