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3 years ago

Geometry math question no Guessing and Please show work

Mathematics

1 answer:

mariarad [96]3 years ago

7 0

We will use angle sum property of triangle here

sum of three angles of triangle =180

35.5+82.6 + third angle =180

118.1 + third angle =180

third angle =180-118.1 = 61.9

third angle =61.9 degrees (option C)

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Point G is on line segment FH. Given FG=5x+2,GH=3x-1, and FG=9, determine the numerical length of FG

stealth61 [152]

Given:

FG=5x+2

GH=3x-1

FG=9

Let us draw the line segment as follows,

Equating the length of FG, we get,

$\begin{gathered} 5x+2=9 \\ 5x=9-2 \\ 5x=7 \\ x=\frac{7}{5} \end{gathered}$

Substitute the value of x in the given value of GH,

$\begin{gathered} GH=3x-1 \\ =3(\frac{7}{5})-1 \\ =\frac{21}{5}-1 \\ =\frac{16}{5} \\ =3.2 \end{gathered}$

And the total length FH is,

$\begin{gathered} FH=FG+GH \\ =9+3.2 \\ =12.2 \end{gathered}$

Hence, the lengths are,

$\begin{gathered} FG=9 \\ GH=3.2 \\ FH=12.2 \end{gathered}$

8 0

1 year ago

Please help. Trig: Laws of Cosines

ladessa [460]

Answer:

16.2 units

Step-by-step explanation:

Greater angle: 180 - 72 = 108

D² = 10² + 10² - 2(10)(10)cos(108)

D² = 261.8033989

D = 16.18033989

8 0

3 years ago

Your team wins 18 medals at a competition. The metals are gold, silver, and bronze in a ratio of 2:4:3. How many of each metal d

Anarel [89]

Answer

Find out the how many of each metal did your team win.

To prove

As given

Your team wins 18 medals at a competition.

The metals are gold, silver, and bronze in a ratio of 2:4:3.

Let us assume that x be the scalar multiple of the gold, silver and bronze medal.

Thus

Number of gold medal = 2x

Number of silver medal = 4x

Number of bronze medal = 3x

Than the equation becomes

2x + 4x + 3x = 18

9x = 18

$x = \frac{18}{9}$

x = 2

Number of gold medal = 2 × 2

= 4

Number of silver medal = 4 × 2

= 8

Number of bronze medal = 3 × 2

= 6

Therefore the number of gold medal are 4, silver medal are 8, bronze medal are 6.

3 0

3 years ago

Solve the equation for x, where x is a real number (5 points): <br> -2x^2 + 5x - 10 = 3

KatRina [158]

Subtract 3 from both sides so that the equation becomes -2x^2 + 5x - 13 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
                                      x = [ -b ± √(b^2 - 4ac) ] / (2a)
                                      x = [ -5 ± √((5)^2 - 4(-2)(-13)) ] / ( 2(-2) )
                                      x = [-5 ± √(25 - (104) ) ] / ( -4 )
                                      x = [-5 ± √(-79) ] / ( -4)
Since √-79 is nonreal, the answer to this question is that there are no real solutions.

3 0

3 years ago

Please help me with trigonometry

NeX [460]

Answer:

cos R = .38

Step-by-step explanation:

First you need to find the length of the hypotenuse.

Use a squared + b squared = c squared

100 + 576 = c squared

square root of 676 is 26

CosR is adjacent over hypotenuse.

Adjacent is 10

Hypotenuse is 26

10/26 = .38

3 0

3 years ago