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3 years ago

Find x in this triangle

Mathematics

2 answers:

Elodia [21]3 years ago

8 0

The angle between the 35 and 60 degree angles equals:180 -35 -60 = 85 degreesThis makes the angle next to the "x" angle = 5 degrees.So, angle "x" equals 180 -5 = 175 degrees.

tamaranim1 [39]3 years ago

8 0

Hi,
The angle of 60° is an outside angle of a triangle (equal the sum of the others angles of the triangle : in french un angle extérieur d'un triangle)

If x is inside the triangle:
60°=35°+x==>x=25°

If x is outside the triangle:
x=180°-25°=155°

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There is 1/4 gram of fat for every 1/3 tablespoon of powdered peanut butter. How many grams of fat are there for every tablespoo

alexdok [17]

For this case what we must do is find the unit rate of grams of fat for every tablespoon of the powder.

We have then:

$R = \frac {grams\ of\ fat} {tablespoon\ of\ the\ powder}$

Substituting values we have:

$R = \frac {\frac {1} {4}} {\frac {1} {3}}$

Then, rewriting we have:

$R = \frac {3} {4}$

Answer:

There are $\frac {3} {4}$ grams of fat are there for every tablespoon of the powder

7 0

3 years ago

Steps for this equation 6(3e-8)=5e+43

Usimov [2.4K]

Answer:

e = 7

Step-by-step explanation:

Eliminate parentheses using the distributive property.

18e -48 = 5e +43

13e -48 = 43 . . . . . . . . subtract 5e from both sides

13e = 91 . . . . . . . . . . . . add 48 to both sides

e = 7 . . . . . . . . . . . . . . divide both sides by 13

_____

Comment on equation solving

If there are parentheses or fractions, it usually works well to eliminate those. The distributive property is used to eliminate parentheses. Fractions can be eliminated by multiplying the equation by the denominator. (We mean 'multiply both sides of the equation by the denominator'.) If you have excellent skill with arithmetic using fractions, you don't need to go to the trouble to eliminate them.

After the numbers in the equation are mainly integers or decimals, the next step is to look to see where the variable of interest is located. You want to do what it necessary to put all of the variable terms on one side of the equal sign, and everything else on the other side. The procedure generally is to decide what you don't want, and subtract that from both sides of the equation.

Finally, you divide by the coefficient of the variable, so the variable stands alone on one side of the equal sign. This shows you the solution.

8 0

3 years ago

A circle is inscribed in a square with a side length of 144. If a point in the square is chosen at random, what is the probabili

____ [38]

Given :

A circle is inscribed in a square with a side length of 144.

So, radius of circle, r = 144/2 = 72 units.

To Find :

The probability that the point is inside the circle.

Solution :

Area of circle,

$A_c = \pi r^2\\\\A_c = 3.14 \times 72^2\ units^2\\\\A_c = 16277.76 \ units^2$

Area of square,

$A_s = (2r)^2\\\\A_s = ( 2 \times 72)^2\ units^2\\\\A_s = 20736\ units^2$

Now, probability is given by :

$P = \dfrac{A_c}{A_s}\\\\P = \dfrac{16277.76}{20736}\\\\P = 0.785$

Therefore, the probability that the point is inside the circle is 0.785 .

4 0

3 years ago

Find the length of the missing side. 14.5 m 7.3 m X

Furkat [3]

Answer:

x= 12.528

*rounded is 12.53 or 12.5

Step-by-step explanation:

7.3 ^2 + x^2 = 14.5^2

53.29 + x^2 = 210.25

-53.29 -53.29

x^2= 156.96

x= 12.528

7 0

3 years ago

Solve each equation for the variable

motikmotik

Answer:

X= -50

Step-by-step explanation:

Remove the parenthesis

multiply both sides by two

x - 6 = -56

Move the 6 to the other side

x = -56 + 6

x = -50

6 0

4 years ago