All categories

3 years ago

Given: — Xw Is an altitude M Prove: x=12

Mathematics

1 answer:

blsea [12.9K]3 years ago

4 0

Answer:

See explanation

Step-by-step explanation:

Given: XW is an altitude

m∠XWY=8x-6

Prove: x=2

Solution:

Statement Reason

1. XW is an altitude Given

2. m∠XWY = 90° Definition of altitude

3. m∠XWY = 8x - 6 Given

4. 8x - 6 = 90 Substitution property

5. 8x - 6 + 6 = 90 + 6 Addition property of equality

8x = 90

6. x = 12 Division property of equality

You might be interested in

The sum of digits in a two-digit number is 7. If the digits switch place you get a number bigger by 27. What's that number?

-Dominant- [34]

Step-by-step explanation:

the solution is found in the images above

4 0

3 years ago

The temperature, H, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by H = f(t), where t is in min

Deffense [45]

Answer:

f'(t) is negative

The unit is degC/min

At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.

Step-by-step explanation:

From the question we are told we are told that

The equation for the temperature of a cup of coffee place on a counter is

$H= f(t)$

Here t is the time in minutes the coffee was put on the counter

Generally f(t)' is the derivative of f(t) at it represents the change of the temperature of the cup of coffee with respect to time

Generally for the coffee placed on the counter after a couple of minutes the temperature will decrease hence f(t)' is negative

Generally the unit of the temperature is in degrees Celsius while that of time is in minutes

So the change in temperature with time f(35)' will be in degrees Celsius/minutes (i.e degC/min)

From the question we are told that

$|f(35)'| = 1.5$

i.e the rate of change of temperature after 35 minutes is 1.5

and

$|f(35)| = 68$

i.e the temperature of the cup of coffee after 35 minutes is 67 degC

Now after another t= 30 seconds = $\frac{30}{60}= 0.5 \ minutes$ the rate of change of the temperature of the cup of coffee is

$R = |f(35)'| * t$

=> $R = 1.5 * 0.5$

=> $R = 0.75$

At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.

5 0

3 years ago

Which line plot displays a data set with an outlier? giving out 20 points and please no gussing

choli [55]

Answer:

the one on the bottom left, with 23 all by its lonesome

Step-by-step explanation:

3 0

2 years ago

Triangle Q M N is shown. The length of Q M is 18, the length of M N is 17, and the length of Q N is 20. Law of cosines: a2 = b2

kvasek [131]

Answer:

53°

Step-by-step explanation:

17² = 18² + 20² - 2(18)(20) cos Q

289 = 324 + 400 - 720 cos Q

289 = 724 - 720 cos Q

-435 = -720 cos Q

0.6042 = cos Q

$cos^{-1} (0.6042) = Q$

Q = 52.83

3 0

3 years ago

What is 2 exponent 4 time 2 exponent negative 7 equal

Elena L [17]

Answer: i’m not sure if it’s just simplifying or factoring. but for simplifying it equals. 1/8 or .125

Explanation: calculator

4 0

3 years ago