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Ghella [55]
3 years ago
12

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Mathematics
1 answer:
SVEN [57.7K]3 years ago
8 0

Answer:

x = 30

Step-by-step explanation:

The sum of the 3 interior angles of a triangle = 180°, hence

x + x + 10 + 3x + 20 = 180

5x + 30 = 180 ( subtract 30 from both sides )

5x = 150 ( divide both sides by 5 )

x = 30

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In math class, the ratio of boys to girls in the class is 12:8. What is the ratios of the total number of students to the number
julsineya [31]

20:12

i think. 20 being the number of total students to 12 which is the number of boys

5 0
2 years ago
The Pyraminx is a Rubik's cube-type toy in the shape of a tetrahedron. The Pyraminx shown below has edges 15\,\text{cm}15cm long
____ [38]

Answer:

8.727

Step-by-step explanation:

Since the below edge, d = 15 cm, and the height, h = 12.2 cm, we will use the Pythagorean  theorem to find the distance r.

d^2=r^2+h^2

(15)^2 = r^2+(12.2)^2

r^2 = (15)^2-(12.2)^2=225-148.84=76.16

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4 0
2 years ago
HELP
Aleks [24]

Answer:

c) 6

Step-by-step explanation:

This is a straight-forward application of the Law of Cosines:

... a² = b² + c² -2bc·cos(A)

... a² = 8² +11² -2·8·11·cos(32.2°) ≈ 64 +121 -176·0.8462

... a² ≈ 36.07000

... a ≈ 6.00583

The best choice is c) 6.

3 0
2 years ago
Find four numbers that form a geometric progression such that the third term is greater than the first by 12 and the fourth is g
olchik [2.2K]

If x is the first number in the progression, and r is the common ratio between consecutive terms, then the first four terms in the progression are

\{x,xr,xr^2,xr^3\}

We want to have

\begin{cases}xr^2-x=12\\xr^3-xr=36\end{cases}

In the second equation, we have

xr^3-xr=xr(r^2-1)=36

and in the first, we have

xr^2-x=x(r^2-1)=12

Substituting this into the second equation, we find

xr(r^2-1)=12r=36\implies r=3

So now we have

\begin{cases}9x-x=12\\27x-3x=36\end{cases}\implies x=\dfrac32

Then the four numbers are

\left\{\dfrac32,\dfrac92,\dfrac{27}2,\dfrac{81}2\right\}

4 0
3 years ago
the bowling alley charges a flat rate of $50 for a birthday party plus $4.25 per person. If Emanuel only has $125 to spend. How
Maksim231197 [3]

125 > 50 + 4.25*p

subtract 50 from each side

75 =>4.25p

divide by 4.25

p>17.64

He may invite up to 17 people ( if he doesn't have to pay for himself)

He may invite 16 if he has to pay for himself

3 0
3 years ago
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