All categories

2 years ago

Find the value of x

Mathematics

2 answers:

ser-zykov [4K]2 years ago

6 0

Answer:

x = 38°

Step-by-step explanation:

this is a four-sided polygon, so the sum of the interior angles measures 360 degrees; formula is (n - 2) · 180 where 'n' is the number of sides

add all four expressions and set equal to 360

5x - 33 + 5x + 13 = 360

10x - 20 = 360

10x = 380

x = 38

check by plugging 38 into each expression to make sure the total is 360

starting in upper left and moving clockwise, the angles are: 75°, 82°, 114°, 89°

Elodia [21]2 years ago

3 0

X is 38
hope it helped

You might be interested in

Brice has 400 toy cars. Of the toy cars, 15% are red, 40% are green, and the rest are multicolor.

mixas84 [53]

Answer:

180

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Which of the following is the radical expression of a to the four ninths power ?

LuckyWell [14K]

Given expression in exponential form : $a^{\frac{4}{9} }$ .

We need to convert it into radical form.

<em>Please note: When we convert an exponential to radical form, the top number goes in the exponent of the term and bottom number of the fraction goes in the radical sign to make it nth radical.</em>

We can apply following rule:

$(a)^{\frac{m}{n}}= \sqrt[n]{x^m}$ .

Therefore,

$a^{\frac{4}{9} }= \sqrt[9]{a^4}$ .

Therefore, correct option is : D. ninth root of a to the fourth power.

6 0

2 years ago

Which equation can be solved to find one of the missing side lengths in the triangle?

tester [92]

Answer:

cos(60) = 12

Step-by-step explanation:

I don't understand the question, but that is the only logical answer choice.

6 0

2 years ago

Charity is four times as old as her daughter. She is also six years younger than her husband. The sum of their ages ten years to

zubka84 [21]

Answer: Charity is 36 years old today.

Step-by-step explanation:

Let x = Present age of daughter.

Age of Charity = 4x

Age of her husband = 4x+6

After 10 years,

Age of daughter = x+10

Age of Charity = 4x+10

Age of her husband = 4x+6+10=4x+16

As per given,

$x+10+4x+10+4x+16=117$

$9x+36=117\\\\ 9x=117-36\\\\ 9x=81\\\\ x=9$

Present age of Charity = 4(9)=36 years

Hence, Charity is 36 years old today.

4 0

2 years ago

The sides of a rectangle are 15cm and 7cm long. How far is the point of the diagonal cross section from the sides of this rectan

irinina [24]

Answer:

See below in bold.

Step-by-step explanation:

If we draw a line from the point of intersection to the longest side of the rectangle it will meet it at the midpoint.

The same thing will happen when the line is draw to the shortest side.

So the point of intersection is 1/2 * 7 = 3.5 cm from the longest side and 15/2 = 7.5 cm from the shortest side.

6 0

3 years ago

Find the value of x ​

Find the value of x