Answer: x>−4
Step-by-step explanation:
Let's solve your inequality step-by-step.
6x−5>−29
Step 1: Add 5 to both sides.
6x−5+5>−29+5
6x>−24
Step 2: Divide both sides by 6.
6x/6>-24/6
<h3>x>-4</h3>
For the answer to the question above, just <span>use similar triangles.
</span>Here's the equations that I used.
<span>t/h = (x + t) / r </span>
<span>x + t = rt / h </span>
<span>x = rt / h - t
I hope my answer helped you in your problem, Have a nice day</span>
Answer:
17°
Step-by-step explanation:
Let x represent the measure of the angle.
(90 -x) = 5 + 4x . . . . the complement is 5° more than 4 times the angle
85 = 5x . . . . . . . . . . add x-5 to both sides
17 = x . . . . . . . . . . . . divide by 5
The measure of the angle is 17°.
Answer:
Larger number:
16
Smaller number
3
Step-by-step explanation:
Larger number: 16
Smaller number: 3
Explanation:
Suppose the larger number is
a
and the smaller number is
b
.
You solve the following system of equations:
a⋅b=48
a−13=b
Since b is a −13, you can plug that into a⋅b=48, so...a⋅(a−13)=48
a 2−13a=48
a2−13a−48=0
Factor the polynomial:
(a−16)(a+3)=0
a=16 or a=−3a is positive so a=16.
We can now solve for b by plugging in a, so...16−13=b3=b We have a=16 and b=3, meaning that the larger number is 16 and the smaller number is 3.
