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Aleonysh [2.5K]
3 years ago
10

Solve for x:

Mathematics
1 answer:
Fantom [35]3 years ago
3 0

2x + 6 + 3x + 12 = 33

5x + 18 = 33

5x = 33-18

5x = 15

therefore x=3

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In the right triangle shown, \angle B = 60^\circ∠B=60
Liono4ka [1.6K]

Answer:

Part 1) AC=6\sqrt{3}\ units

Part 2) AC=12\sqrt{3}\ units

Step-by-step explanation:

I will analyze two problems

see the attached figure to better understand the problem

Problem 1

The hypotenuse is the segment AB  and the right angle is C

we know that

In the right triangle ABC

sin(B)=\frac{AC}{AB} ---> by SOH (opposite side divided by the hypotenuse)

substitute the given values

sin(60^o)=\frac{AC}{12}

Remember that

sin(60^o)=\frac{\sqrt{3}}{2}

substitute

\frac{\sqrt{3}}{2}=\frac{AC}{12}

AC=6\sqrt{3}\ units

Problem 2

The hypotenuse is the segment BC  and the right angle is A

we know that

In the right triangle ABC

tan(B)=\frac{AC}{AB} ---> by TOA (opposite side divided by the adjacent side)

substitute the given values

tan(60^o)=\frac{AC}{12}

Remember that

tan(60^o)=\sqrt{3}

substitute

\sqrt{3}=\frac{AC}{12}

AC=12\sqrt{3}\ units

5 0
3 years ago
Which sequences are geometric? Check all that apply.
zhenek [66]

Answer:

The sequences which are geometric are

16,-8,4,-2,1

625,125,25,5,1

-15,-18,-21.6,-25.92,-31.104

Step-by-step explanation:

Geometric sequences are ones in which you multiply or divide to get the next terms in the sequence.

Cheers

7 0
3 years ago
Find the measure of each angle in the triangle.
Maru [420]

Answer:

25, 70, 85

Step-by-step explanation:

x+2x+20+3x+10=6x+30

6x+30=180

6x=150

x=25

The angles are 25, 70, and 85

6 0
3 years ago
Read 2 more answers
Find the slope between<br> the following points:<br> (1,12) and (-7,-10)
OLEGan [10]

Answer:

11/4

Step-by-step explanation:

To find the slope of a line given two points, we use the formula

m = (y2-y1)/(x2-x1)

   = (-10-12)/(-7-1)

  =-22/-8

  =11/4

6 0
3 years ago
What is the relationship between 9.6x10^-2 and 9.6x10^-5
Aleksandr-060686 [28]

Answer:

1000 times greater

Step-by-step explanation:

9.6 * 10^-2  / 9.6 * 10^-5

= (9.6 / 9.6)  *  (10^-2 / 10^-5)

= 1 * 10^(-2 -( -5))

= 10^3

= 1000

5 0
3 years ago
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