All categories

3 years ago

Find the value of the missing angle and then find x.

Mathematics

2 answers:

Zielflug [23.3K]3 years ago

7 0

Answer:

109°, x = 8

Step-by-step explanation:

The angle inside the quadrilateral is adjacent to 71°, then

missing angle = 180° - 71° = 109°

The sum of the interior angles of a quadrilateral = 360°

sum the interior angles and equate to 360

8x - 1 + 13x - 2 + 10x + 6 + 109 = 360, that is

31x + 112 = 360 ( subtract 112 from both sides )

31x = 248 ( divide both sides by 31 )

x = 8

pishuonlain [190]3 years ago

5 0

Answer:

x=8

Step-by-step explanation:

From the image, we can assume that the shape is a quadrilateral because it has 4 sides. A quadrilateral has 360 degrees in it. To start out, you need to find the measure of the inside angle. To get it, you would subtract 71 from 180 (since it is on a straight line) and get 109 degrees. From there, you just add all the angles up and set it equal to 360. If you add everything up, it should look something like 31x+112=360. You need to isolate x, so subtract 112 from both sides to get 31x=248. Now divide both sides by 31 and x should equal 8.

You might be interested in

Gianna skied three times farther than Xavier. Xavier skied 4 miles. How far did Gianna ski

lina2011 [118]

Gianna=3x
Xavier=x
since x=4, than multiply 4 by 3 and you get 12 miles.
Gianna skied 12 miles.

Hope this helped!! :D

3 0

3 years ago

Solve for x under the assumption that x<0. <br> x-5/x<4

AleksandrR [38]

If you would like to solve the inequality x - 5/x < 4, you can do this using the following steps:

<span>x - 5/x < 4
</span>x^2 - 5 < 4x
x^2 - 4x - 5 < 0
(x - 5) * (x + 1) < 0
x < 0
1. x = 5
2. x = -1

The correct result would be x = -1.

3 0

3 years ago

Which of the following represents the factorization of the binomial below ? x^2 - 144

Dima020 [189]

It factors to (x+12)(x-12)

This is the same as (x-12)(x+12) as we can multiply two expressions in any order we want. This is like saying 7*5 is the same as 5*7

I used the difference of squares rule to factor x^2 - 144. It might help to write x^2 - 144 as x^2 - 12^2, then compare it to a^2 - b^2 = (a-b)(a+b)

6 0

3 years ago

a florist makes 24 bouquets she uses 16 flowers for each bouquet altogether how many flowers does she use?

NNADVOKAT [17]

Answer:

384

Step-by-step explanation:

24 bouquets * 16 flowers = 384 flowers

Hope this helps! Please mark brainliest! Have a great day!

Thank you for using Brainly!

7 0

3 years ago

Help me please asap I need to know fully how to solve this problem

vivado [14]

Consider the absolute value, because we only worry about the quadrant later.

$\text{Consider: } sin(A) = |-\frac{\sqrt{3}}{4}|$
$sin(A) = \frac{\sqrt{3}}{4}$

Thus, we know that the hypotenuse has a length of 4 units, and the side opposite the angle, A is √3, because this is the nature of the sine function in relation to its triangular component.

The missing side can be found using Pythagoras' Theorem:
4² - (√3)² = x²
16 - 3 = x²
13 = x²
x = √13

$\therefore tan(A) = \pm \sqrt{\frac{3}{13}}$

Since angle A is in the third quadrant, the tangent function will produce a positive angle.

$tan(A) = \sqrt{\frac{3}{13}}$
$\text{Rationalise the denominator: } \frac{\sqrt{3}}{\sqrt{13}} \cdot \frac{\sqrt{13}}{\sqrt{13}}$

$tan(A) = \frac{\sqrt{39}}{13}$

7 0

3 years ago