Complete the equations to show the relationships between the numbers.

In triangle MNP if the measure of angle R is five more than twice x, and the measure of angle S is one more than x, and the meas

Dmitrij [34]

Answer:

x = 19

Step-by-step explanation:

Let's convert the given statements into algebraic expressions.

R is five more than twice x:

R = 2x + 5

S is one more than x:

S = x + 1

T is sixteen less than seven times x:

T = 7x - 16

Also, we know, the sum of 3 angles in a triangle is ALWAYS EQUAL to 180 degrees. Thus we can write:

R + S + T = 180

Substituting the expressions, we have:

2x + 5 + x + 1 + 7x - 16 = 180

Now we do algebra and simply solve for x. Shown below:

$2x + 5 + x + 1 + 7x - 16 = 180\\10x-10=180\\10x=180+10\\10x=190\\x=\frac{190}{10}\\x=19$

Hence, x = 19

6 0

3 years ago

Rename 2/5 as a percent_______________________

loris [4]

It can be helpful to remember that "%" is just a shorthand way to write "/100" (divided by 100, or per 100, or per cent). ("Cent" is often used to refer to 100 or 1/100. A "cent" is 1/100 of a dollar, or 1/100 of an acre, for example. A century is 100 years.)

Make the denominator of your fraction be 100. Multiply numerator and denominator by 20/20.

(2/5)×(20/20) = 40/100 = 40%

You can also get there via decimals.

... 2/5 = 0.4 = 0.40 (40 hundredths) = 40/100 (40 hundredths) = 40%

Or, you can multiply by 100%.

... (2/5)×(100%) = (200/5)% = 40%

7 0

3 years ago

They building in the city has a rectangular base. The length of the base measures 60 ft less than twice the width. The perimeter

wariber [46]

Answer: the length of the base is 290ft

The width of the base is 175 ft

Step-by-step explanation:

The base of the building is rectangular in shape.

Let L represent the length of the base of the building.

Let W represent the width of the base of the building.

The length of the base measures 60 ft less than twice the width. This means that

L = 2W - 60 - - - - - - - - -1

The perimeter of a rectangle is expressed as 2(length + width).

The perimeter of this base is 930ft. It means that

2(L + W) = 930

L + W = 930/2 = 465- - - - - - 2

Substituting equation 1 into equation 2 , it becomes

2W - 60 + W = 465

3W = 465 + 60 = 525

W = 525/3 = 175

L = 465 - W = 465 - 175

L = 290

4 0

3 years ago

Percy delivers pizzas for pizza king. He is paid $6 an hour plus $2.50 for each pizza he delivers. Percy earned $280 last week.

Triss [41]

Hey You!

6 × 30 = 90

280 - 90 = 190

190 / 2.50 = 76

We can check using multiplication.

2.50 × 76 = 190

Percy delivered 76 pizzas.

7 0

3 years ago

Make A the subject of the formula r= <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%5Cfrac%7Ba%7D%7B3%7D%20%7D%20

DaniilM [7]

Answer:

Huh

Step-by-step explanation:

<h2>3-4=8+7-87+2Kknnjajajaaa</h2>

THANGINA MO TANONG MO SA PAGONG VOVO MO VOVO TALAGA 1V1 ML

3 0

3 years ago