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3 years ago

A quadrilateral has angles that measure 74°, 93°, and 117°.

1 answer:

6 0

The other angle should be 76 degrees since every quadrilateral has 360 degrees total with 4 angles. So if you add th numbers up and subtract it from 360, you woukd get 76 degrees.

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What equation represents the relationship between“p” and “q” shown in the table?

EleoNora [17]

Answer:

$q=10p$

Step-by-step explanation:

According to the given table, the variables have a linear relation, because there's a constant change involved.

Notice that p-variable increases by one unit, while q-variable increases by 10 units. That means the ratio of change is

$r=\frac{\Delta q}{\Delta p}=\frac{10}{1}$

Then, we use one pair of elements, like (3,30), and the point-slope formula to find the equations.

$q-q_{1} =m(p-p_{1} )\\q-30=10(p-3)\\q=10p-30+30\\q=10p$

Therfore, the equation that represents the table is $q=10p$

7 0

4 years ago

Read 2 more answers

consider the equation is Y equals 1/square root of x and y=x-2. approximate solution of the system equations

emmasim [6.3K]

Answer:

$x=1$ and $x=4$

Step-by-step explanation:

We have the following system of equations:

$y=\sqrt{x}$ and $y=x-2$

To solve the problem, we need to equal the two equations:

$x-2=\sqrt{x}$ ⇒ $(x-2)^{2} =x$ ⇒ $x^{2} -4x + 4 = x$

⇒ $x^{2} -5x + 4 = 0$

So you need to find two numbers that added equal to 5 and multiplied equal to 4. These two numbers are $x=-1$ and $x=-4$ .

Then, the factorized form of the polynomial is: $(x-1)(x-4)$ .

The, the solution to the system of equations is: $x=1$ and $x=4$ .

5 0

3 years ago

Number of sides of shape: 4<br>Number of degrees inside:<br>

Nutka1998 [239]

Answer:

360°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 4, hence

sum of interior angles = 180° × 2 = 360°

4 0

4 years ago

A store is having a sale in which all items are 20% off. If p is the original price of an item, then the equation p - 0.2p = 0.8

katovenus [111]

Answer:

Answer Expert Verified

We are given that there is a 20% sale in the store. Moreover, the sale price of an item is p - 0.2p, where p is the price of the item. So, we get that, p - 0.2p is equivalent to 0.8p

6 0

3 years ago

Sasha can mow 3/8 of an acre of grass in 45minutes.how many acres of grass does Sasha now per hour?

horrorfan [7]

Keeping in mind that an hour is 60 minutes.

$\bf \begin{array}{ccll}
\stackrel{acre}{grass}&\stackrel{minutes}{time}\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\frac{3}{8}&45\\
g&60
\end{array}\implies \cfrac{\frac{3}{8}}{g}=\cfrac{45}{60}\implies \cfrac{\frac{3}{8}}{\frac{g}{1}}=\cfrac{45}{60}\implies \cfrac{3}{8}\cdot \cfrac{1}{g}=\cfrac{45}{60}
\\\\\\
\cfrac{3}{8g}=\cfrac{45}{60}\implies 180=360g\implies \cfrac{180}{360}=g\implies \cfrac{1}{2}=g$

6 0

3 years ago