<span>1/4(x + 16) - x =

First, distribute the 1/4.

= 1/4x + 1/4 * 16 - x

= 1/4x + 4 - x

= 1/4x + 4 - 4/4x

= 1/4x - 4/4x + 4

= -3/4x + 4

$= -\dfrac{3}{4}x + 4$ </span>

8 0

3 years ago

In triangle ABC, m∠A=(6x+9)∘, m∠B=(x−8)∘, and the exterior angle at C is 141∘.

Sphinxa [80]

Answer:

12°

Step-by-step explanation:

Let's start with the easy first.

We know that m∠C is 39° because together ∠C and the exterior angle equal 180°. And 180 - 141 = 39.

Now, we can use this to find the remaining two angles.

180° - 39° = 141°

So, this means that we can set up m∠A + m∠B = 141°.

6x + 9 + x - 8 = 141

7x + 1 = 141

7x = 140

x = 20

Finally, we can plug in for our x value and find m∠B.

m∠B = x - 8

m∠B = 20 - 8

m∠B = 12°

3 0

2 years ago

A scatterplot is used to display data for a runner where x is the number of miles run, and y is the time, in minutes, that it ta

larisa [96]

The interpretation of y = 9.5x is that: (a) For each 1 minute, the runner ran 9.5 miles.

<h3>How to interpret the equation?</h3>

The equation of the line of best fit is given as:

y = 9.5x

Divide both sides by x

9.5 = y/x

From the question, we have:

x ⇒ number of miles run
y ⇒ time

This means that:

9.5 = number of miles run/time

Hence, the interpretation of y = 9.5x is that: (a) For each 1 minute, the runner ran 9.5 miles.