ZA and ZB are supplementary angles. If mZA = (x + 6) and m ZB = (7x +30)°, then find the measure of ZA.

za=24

Step-by-step explanation:

supplementary angles add up to equal 180

180=7x+x+30+6

step 1 combine like terms

180=8x+36

step 2 subtract 36 from each side

144=8x

step 3 divide each side by 8

x=18

now we just plug in 18 to x in x+6

18+6=24

24°

Step-by-step explanation:

The sum of supplementary angles is 180°.

Thus, we can set up our equation as:

(x + 6) + (7x + 30) = 180

Combine like terms.

8x + 36 = 180

Isolate the variable by subtracting 36 from both sides.

8x = 144

Divide both sides by 8.

x = 18

Now, let's revisit the equation for m∠ZA, and plug in our x.

((18) + 6)°

24°

1; 35 is the ratio

step-by-step explanation:

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: