All categories

3 years ago

Yo can i get some help?

Mathematics

1 answer:

wariber [46]3 years ago

6 0

Answer:

50°

Step-by-step explanation:

Given figure is a quadrilateral. Sum of the measures of all the angles of a quadrilateral is 360°.

Therefore,

$(x + 10 )\degree + 2x \degree + x\degree + 3x\degree = 360 \degree \\ \\ (7x + 10 )\degree = 360 \degree \\ \\ 7x + 10 = 360 \\ \\ 7x = 360 - 10 \\ \\ 7x = 350 \\ \\ x = \frac{350}{7} \\ \\ x = 50$

You might be interested in

A positive real number is 1 more than another. When -2 times the smaller is added to the square of the larger, the result is 33.

Naya [18.7K]

Answer:

The smaller number is 4√2 and the larger number is (4√2 + 1).

Step-by-step explanation:

Let the two numbers be <em>x </em>and <em>y</em>, where <em>y</em> is the larger of the two numbers.

Since <em>y</em> is the larger number, it is one more than the smaller number. So:

$y=x+1$

When negative two times the smaller is added to the square of the larger, the result is 33. In other words:

$-2x+y^2=33$

Substitute:

$-2x+(x+1)^2=33$

Solve for <em>x</em>. Square:

$-2x+(x^2+2x+1)=33$

Simplify:

$x^2+1=33$

Subtract one from both sides:

$x^2=32$

And take the square root of both sides:

$x=\pm\sqrt{32}=\pm 4\sqrt{2}$

Since <em>y</em> is positive, we can ignore the negative case. So, the smaller number is:

$x=4\sqrt{2}\approx5.66$

And the larger number is:

$y = 4\sqrt{2} + 1 \approx6.66$

3 0

3 years ago

What single decimal multiplier would you use to decrease by 19% followed by a 10% increase?

Mrrafil [7]

Answer: 1.26 is the single decimal multiplier.

Step-by-step explanation:

5 0

3 years ago

The sum of three decimal numbers is six exactly one of the numbers is less than one what could those numbers be

kompoz [17]

2+3.5+.5 could be a possible answer

4 0

3 years ago

She uses 1/4 cup of sugar for 3/4 dozen cookies. How many cups of sugar will be used for one dozen cookies?

maksim [4K]

answer:1 cup of sugar will be used for one dozen cookie

8 0

3 years ago

Factor the polynomial completely using any method. Show steps.<br> 2d^4-13d^2-45

Alinara [238K]

Answer:

$\huge ( {2d}^{2} + 5)(d + 3)(d - 3)$

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

factoring
PEMDAS

<h3>given:</h3>

$2d^4-13d^2-45$

<h3>let's solve:</h3>

$2d^4-13d^2-45$

$2 {d}^{4} + 5 {d}^{2} - 18 {d}^{2} - 45 \\ {d}^{2} ( {2d}^{2} + 5) - 9( {2d}^{2} + 5) \\ ( {2d}^{2} + 5)( {d}^{2} - 9 )\\ ( {2d}^{2} + 5)(d + 3)(d - 3)$

3 0

3 years ago