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ella [17]
3 years ago
13

Solve for x in the triangle

Mathematics
1 answer:
Stels [109]3 years ago
5 0

Answer:

x=9

Step-by-step explanation:

Since the sides are the same, the base angles must be the same

8x+2 = 10x-16

Subtract 8x from each side

8x+2-8x =10x-16-8x

2 = 2x-16

Add 16 to each side

2+16 = 2x-16+16

18 =2x

Divide by 2

18/2 =2x/2

9 =x

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23=x-9;x=14 how do I figure out if this is a solution of the equation?
serious [3.7K]
There is no solution because x is incorrect.

x should be 32
4 0
3 years ago
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Please try to give me the answers
gladu [14]

Answer:

a = 1, b = 2, c = 3

Step-by-step explanation:

a +  \frac{1}{b +  \frac{1}{c} }  =  \frac{10}{7}  \\  \\ a +  \frac{1}{b +  \frac{1}{c} }  = 1 +  \frac{3}{7}  \\  \\ a +  \frac{1}{b +  \frac{1}{c} }  = 1 +   \frac{1}{\frac{7}{3} }  \\  \\ a +  \frac{1}{b +  \frac{1}{c} }  = 1 +   \frac{1}{2 + \frac{1}{3} }  \\  \\ equating \: like \: terms \: on \: both \: sides \\  \\ a = 1 \\  \\ b = 2 \\  \\ c = 3

5 0
2 years ago
A coral reef grows
Ksenya-84 [330]
If a coral reef grows at a steady rate every week, then to find how much it grows in 12 weeks, we need to multiply the growth rate by 12 weeks. Also, since we want our answer in centimeters, we can change the growth rate to centimeters. 0.15m = 15cm

15cm * 12 = 180cm

The coral reef will grow 180cm in 12 weeks.
3 0
3 years ago
Helppppppppppppppppppppppppppppppppppppp
victus00 [196]

Answer:

The second statement.

Step-by-step explanation:

Once it gets to 10, if you keep multiplying by 2 it will always end in 0.

5 0
3 years ago
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2. When Joey dives off a diving board, the equation of his pathway can be modeled by h = -16- + 15 + 12.
Sergeu [11.5K]

Answer:

a) The maximum height is approx 15.5 unit.

b) The time it will take for Joey to reach the water is 1.45 hour.

Step-by-step explanation:

Given : When Joey dives off a diving board, the equation of his pathway can be modeled by h(t)= -16t^2+15t + 12

To find : a) Find Joey's maximum height.

b) Find the time it will take for Joey to reach the water.

Solution :

Modeled  h(t)= -16t^2+15t + 12 ....(1)

a) To find maximum height

Derivate (1) w.r.t. t,

h'= -32t+15

For critical point put h'=0,

-32t+15=0

t=\frac{15}{32}

t=0.46875

Derivate again w.r.t. t,

h''= -32

It is maximum at t=0.46875.

Substitute t in equation (1),

h(0.46875)= -16(0.46875)^2+15(0.46875)+12

h(0.46875)= -3.515625+7.03125+12

h(0.46875)= 15.515625

The maximum height is approx 15.5 unit.

b) To find the time it will take for Joey to reach the water.

Put h=0 in equation (1),

-16t^2+15t + 12=0

Apply quadratic formula, x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Here, a=-16 , b=15, c=12

t=\frac{-15\pm\sqrt{(15)^2-4(-16)(12)}}{2(-16)}

t=\frac{-15\pm\sqrt{225+768}}{-32}

t=\frac{-15\pm\sqrt{993}}{-32}

t=\frac{-15+\sqrt{993}}{-32},\frac{-15-\sqrt{993}}{-32}

t=−0.515,1.453

Reject negative value.

The time is t=1.45.

The time it will take for Joey to reach the water is 1.45 hour.

5 0
3 years ago
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