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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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From the quadratic equation 3x² + X - 5 = 0, find alpha square plus beta square​
timama [110]

Answer:

  α² +β² = 3 4/9

Step-by-step explanation:

Assuming α and β are solutions to the equation, it can be factored as ...

  (x -α)(x -β) = 0

Expanding this, we get ...

  x² -(α +β)x +αβ = 0

Dividing the original equation by 3, we find ...

  x² +(1/3)x -5/3 ≡ x² -(α+β)x +αβ   ⇒   (α+β) = -1/3, αβ = -5/3

We know that the square (α+β)² can be expanded to ...

  (α +β)² = α² +β² +2αβ

  α² +β² = (α +β)² -2αβ . . . . . . subtract 2αβ

Substituting the values for (α+β) and αβ, we find the desired expression is ...

  α² +β² = (-1/3)² -2(-5/3) = 1/9 +10/3 = 31/9

  α² +β² = 3 4/9

4 0
2 years ago
Barak spent $20 at the arcade. this represents 10%of the money earned by working at thepizza parlor last week.
Karolina [17]
20=10%
times 10
200=100%

he earned $200 at the parlor
4 0
3 years ago
Mikes plumbing charges 68 for coming to your house and 17 per hour for labor if I paid him 357, how many hours, h, was mike at m
Roman55 [17]

Answer:

b. 68 + 17h = 357

f. 17 hours

Step-by-step explanation:

Charges for coming to my house = $68 (this will be the constant of the equation)

Amount charged per hour labor = $17

hours = h

Total amount paid to Mike = 357

The equation that represents this situation can be expressed as:

68 + 17h = 357

Solve for h

68 + 17h - 68 = 357 - 68 (subtraction property of equality)

17h = 289

\frac{17h}{17} = \frac{289}{17} (division property of equality)

h = 17

Mike was in my house for 17 hours.

5 0
3 years ago
Josie bought four lollipops for 65 cents each. She paid with a five-dollar bill. How many cents will she get back?
Murrr4er [49]

Answer:

240 cents

Step-by-step explanation:

Given that,

cost of one lollipop = 65 cents

total amount Josie need to paid = 65 * 4 cents = 260 cents

amount Josie gave  = $5

As we know

$1 = 100 cents

$5 = 100 * 5 cents

    = 500 cents

number of cents Josie will get back

500 - 260

240 cents or $2.40

So, Josie will get 240 cents back

3 0
3 years ago
Is 5/3 a irrational number
Nataly [62]

Answer: No

Step-by-step explanation: To determine whether 5/3 is rational or irrational, it's important to understand that all fractions positive or negative are rational numbers.

So 5/3 is not an irrational number, it's rational.

4 0
3 years ago
Read 2 more answers
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