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hammer [34]
3 years ago
10

The measure of angle W is 19 degrees more than three times the measure of angle V if the sum of the measures of the two angles i

s 199 degree find the measure of each angle
Mathematics
1 answer:
Mademuasel [1]3 years ago
5 0

Answer: angle w = 154 degrees

v = 45 degrees

Step-by-step explanation:

Let w represent the measure of angle W.

Let v represent the measure of angle V.

The measure of angle W is 19 degrees more than three times the measure of angle V. This is expressed as

w = 3v + 19

if the sum of the measures of the two angles is 199 degree, it means that v + 3v + 19 = 199

4v = 199 - 19

4v = 80

v = 180/4 = 45

w = 3v + 19 = (3 × 45) + 19

w = 154

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Ater a blizzard the amount of snow on the ground melted by 3 inches one day and then another 8 inches the next day. Write an exp
Hoochie [10]

Answer:

11 inches

Step-by-step explanation:

Let the level of ground level be g

On first day, amount of snow melted by 3 inches

So, level of ground melted= (g- 3) inches

Next day, amount of snow melted by 8 inches

So, level of ground level melted = (g- 3-8 )inches

Hence, total change in the ground level = ( g- 11) inches

Hence, amount of snow on ground level melted by 11 inches

Hence, the correct answer is 11 inches

6 0
3 years ago
A strobe light is located at the center of a square dance room. the rotating light is 40 feet from each of the square walls and
Effectus [21]

The equation of the rotating light is an illustration of a secant function

The equation that represents the distance between the center of the circle and the light source is d(t) = 40\sec(\frac{\pi}{3}t)

<h3>How to determine the equation</h3>

The equation is a secant function represented by

y =A\sec(Bt)

Where:

A represents the amplitude

So, we have:

A = 40 --- the distance of the light from each square wall

B represents the period, and it is calculated as:

B = \frac{2\pi}{T}

The light completes its full rotation every 6 seconds.

This means that,

T = 6

So, we have:

B = \frac{2\pi}{6}

Simplify

B = \frac{\pi}{3}

Substitute values for A and B in y =A\sec(Bt)

y = 40\sec(\frac{\pi}{3}t)

Rewrite as a function

d(t) = 40\sec(\frac{\pi}{3}t)

Hence, the equation that represents the distance between the center of the circle and the light source is d(t) = 40\sec(\frac{\pi}{3}t)

Read more about trigonometry functions at:

brainly.com/question/1143565

5 0
2 years ago
Tom ordered some books online and spent a total of $75. Each book cost $6 and he paid a total of $3 for shipping. How many books
BaLLatris [955]

Answer:

a)

_b+_=_

6B+3=75

B)

He ordered 12 books

Step-by-step explanation:

so each book (b) costs $6. he payed $75 total including the $3 shipping price

That gets us:

6b+3=75

6b=72

b=12

Therefore, Tom ordered 12 books

5 0
3 years ago
In the first week of​ July, a record 1,100 people went to the local swimming pool. In the second​ week, 105 fewer people went to
denis-greek [22]

Answer:

my brain suddenly is dead and has stopped progressing

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
If X = 13 units, Y = 12 units, and Z = 15 units, what is the volume of the rectangular prism shown above?
Basile [38]

Volume of the Rectangular prism  is 2340 square units

Step-by-step explanation:

Given:

X = 13 units,

Y = 12 units,

Z = 15

To Find:

The volume of the rectangular prism = ?

Solution:

The volume of the rectangular prism = X \times Y \times Z

On substituting the values,

Volume of the Rectangular prism  =13  \times 12 \times 15

Volume of the Rectangular prism  = 2340 square units

3 0
3 years ago
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