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2 years ago

Can someone do all of those PLEASE , and show your work ! Will definitely mark as brainlest !!

Mathematics

1 answer:

Aleks [24]2 years ago

7 0

Answer:

$\displaystyle x=\frac{64}{3}$

Step-by-step explanation:

<u>Similar triangles</u>

If two triangles have the same internal angles the AAA theorem of similarity is met, thus the triangles are similar.

The lengths of the sides of similar triangles are proportional.

To find x, we relate the heights of the triangles with their bases. Thus,

$\displaystyle \frac{32}{x}=\frac{12+6}{12}$

$\displaystyle \frac{32}{x}=\frac{18}{12}$

Solving for x:

$\displaystyle x=\frac{32*12}{18}$

Simplifying:

$\displaystyle x=\frac{64}{3}$

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2. Find the number of distinct triangles with c=11,b=7,B=18 a.0 b.1 c.2 d. cannot be determined

jok3333 [9.3K]

Answer: Choice C) 2

----------------------------------------------

Explanation:

Using the law of sines, we get
sin(B)/b = sin(C)/c
sin(18)/7 = sin(C)/11
0.0441452849107 = sin(C)/11
11*0.0441452849107 = sin(C)
0.4855981340177 = sin(C)
sin(C) = 0.4855981340177
C = arcsin(0.4855981340177) or C = 180-arcsin(0.4855981340177)
C = 29.0516679549861 or C = 150.948332045013
There are two possibilities for angle C because of something like sin(30) = sin(150) = 1/2 = 0.5

Those approximate values of C round to
C = 29.05 and C = 150.95

If C = 29.05, then angle A is
A = 180-B-C
A = 180-18-29.05
A = 132.95
Making this triangle possible since angle A is a positive number

If C = 150.95, then angle A is
A = 180-B-C
A = 180-18-150.95
A = 11.05
making this triangle possible since angle A is a positive number

There are two distinct triangles that can be formed.
One triangle is with the angles: A = 132.95, B = 18, C = 29.05
The other triangle is with the angles: A = 11.05, B = 18, C = 150.95
The decimal values are approximate

7 0

3 years ago

5b - 5 - 12b - 7<br> I need steps please and thank you

Misha Larkins [42]

Answer:

7b-12

Step-by-step explanation:

12b-5b-7-5

7b-12

8 0

3 years ago

HELP ITS HARD PLZZZ need help to 1 throw 6

Nata [24]

Ok so here's a trick king Henry doesn't usually drink chocolate milk or king Henry dabs under dogs calling mom and here's what it will look like the pic and then u have to convert them so 8 liters converting into blank dL so u put a x over the letter L and u don't see that. u see the big U well that means gram liter and meter so u put a x over top of that and now u want to go to the d so now u go just to the d NOT da and ur gonna scoop when ur done scooping them u put a dot where u ended on top of that letter now u get ur first number or what one u started with so I did 8L so I get 8 and since there is no decimal u put it at the end and now I'll scoop and since ur getting smaller u move the decimal to the left (cause left is less) and u get .8 and that's how u do that if u need help with the other ones just let me know and I'll help u

3 0

2 years ago

Read 2 more answers

PLEASE HELP mathematics

AlexFokin [52]

Answer:

21+10.5 which would equal 31.5

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Divide x4+2x2−24<br> by x+2

Ipatiy [6.2K]

$\begin{array}{c|c}_{-}\ x^4+2x^2-24 &\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\! \underline{ x+2 } \\ \!\!\!\!\!\!\!\!\!\!\! \underline{x^4+2x^3}& x^3-2x^2+4x-8 \\{ \big{_{-}}}-2x^3-24& \\\underline{-2x^3-4x^2}& \\ _{-} \ 4x^2-24 & \\ \underline{4x^2+8x}& \\ _{-}-8x-24& \\ \underline{-8x-16} & \\ -8 &\end {array }$

$\displaystyle \frac{x^4+2x^2-24}{x+2} =x^3-2x^2+4x-8 -\frac{8}{x+2}$

7 0

2 years ago

Read 2 more answers