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m_a_m_a [10]
3 years ago
12

Find the value of x.

Mathematics
2 answers:
Tatiana [17]3 years ago
8 0

\large \mathfrak{Solution : }

The given pair of angles are vertical opposite angle pair so, they are equal. i.e

  • (x + 90)\degree = 4x\degree

  • (4x - x) \degree= 90\degree

  • 3x\degree = 90\degree

  • x\degree =  \dfrac{90\degree}{3\degree}

  • x\degree = 30\degree
lianna [129]3 years ago
7 0

Answer:

Step-by-step explanation:

     4x = x+90 ( being vertically opposite angles )

or,  4x - x = 90

or,  3x = 90

or, x = 90/3

or, x = 30

∴ x = 30

4x = 4*30 = 120

x + 90 = 30 + 90 = 120

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Can anyone help pls two more
Andreas93 [3]

Answer:

I'll explain below, just follow the directions. I can't directly draw it.

Step-by-step explanation:

find the length and the width of a rectangle whose perimeter is 18 ft

2L + 2W = 18

simplify, divide by 2

L + W = 9

L = (9-W)

:

whose area is 20 square feet

L*W = 20

Replace L with (9-W)

 

W(9-W) = 20

-W^2 + 9W - 20 = 0

Multiply by -1, easier to factor

W^2 - 9W + 20

Factors to

(W-4)(W-5) = 0

Two solutions

W = 4 ft is width, then 5 ft is the Length

and

W = 5 ft is the width, then 4 ft

5 0
3 years ago
If a circle is equally divided into 10 angles, what is the measure of each angle
scoundrel [369]

Answer:

36°

Step-by-step explanation:

circle has 360°, divide that by 10 to get 36

4 0
3 years ago
Which of the following triangles are impossible to draw? Choose all that apply.
Luda [366]
<span>These triangles are impossible:

a triangle with sides of 3 inches, 4 inches, and 8 inches
(the longest side is greater than the sum of the other 2 sides)

an obtuse equilateral triangle
(all angles in an </span><span>equilateral triangle are acute)

</span>
<span>a triangle with two right angles
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8 0
3 years ago
Read 2 more answers
Trucks in a delivery fleet travel a mean of 110 miles per day with a standard deviation of 38 miles per day. The mileage per day
Montano1993 [528]

Answer: 0.1824

Step-by-step explanation:

Given : The mileage per day is distributed normally with

Mean : \mu=110\text{ miles per day}

Standard deviation :  \sigma=38\text{ miles per day}

Let X be the random variable that represents the distance traveled by truck in one day .

Now, calculate the z-score :-

z=\dfrac{x-\mu}{\sigma}

For x= 132 miles per day.

z=\dfrac{132-110}{38}\approx0.58

For x= 159 miles per day.

z=\dfrac{159-110}{38}\approx1.29

Now by using standard normal distribution table, the  probability that a truck drives between 132 and 159 miles in a day will be :-

P(132

Hence, the probability that a truck drives between 132 and 159 miles in a day =0.1824

6 0
3 years ago
the sum of two numbers is -4 and their difference is -10. find the numbers. (translate to a system of equations and solve)
fiasKO [112]

Answer:

The numbers are -7 and -3

8 0
3 years ago
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