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3 years ago

Help me on isosceles and equilateral triangles problems. Find the value of x in the triangle shown below.

Mathematics

1 answer:

trapecia [35]3 years ago

3 0

Answer:

x° = 61°

Step-by-step explanation:

Both of the "unknown" angles in the triangle are equal, since their opposite sides have equal lengths. (The triangle is isosceles.) The sum of angles in a triangle is 180°, so we have ...

58° + x° + x° = 180°

2x° = 122° . . . . subtract 58°, collect terms

x° = 61° . . . . . . . divide by 2

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Your brother is 1/2 your age. Your sister is 5 years older than your brother. Your sister is 15 years old. Write and solve an eq

nydimaria [60]

Answer:

a=2(s-5)

a(your age): 20

Step-by-step explanation:

a stands for your age

s stands for sister

a=2(s-5)

1-substitute 15 for s a=2(15-5)

2- a=2(10)

the 15-5 stands for sisters age minus five which gives you brothers age, 10. You multiply it by two because your brother is half your age.

3-a=20

check your work:

because your brother is 10 and you are 20, he is half your age (10/20 can be simplified to 1/2)

Hope this helped, if you have any other questions please lmk!

3 0

3 years ago

4. For f(x) = 1/x-5

ioda

Answer:

g(x) = x^2 +2
f(g(x)) = 1/(x^2 -3)

Step-by-step explanation:

A. g(x) is given:

g(x) = x^2 +2

B. f(g(x)) = f(x^2 +2) = 1/((x^2 +2) -5) . . . . substitute for g(x) and simplify

f(g(x)) = 1/(x^2 -3)

3 0

3 years ago

PLEASE HELP ASAP!!! Explain, thank you-

Nat2105 [25]

Answer:

The answer to your question is: $\sqrt[4]{2^{3} } + 1$

Step-by-step explanation:

$\frac{1}{\sqrt[4]{2- 1}} x \frac{\sqrt[4]{2^{3}}+ 1 }{\sqrt[4]{2^{3}} + 1} = [tex]\frac{\sqrt[4]{2^{3}}+ 1 }{2 - 1}$

= $\sqrt[4]{2^{3} } + 1$

6 0

3 years ago

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Virty [35]

Answer:

2438.4

Step-by-step explanation:

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8 0

3 years ago

Joe earns $14 an hour and Blaine earns $18 per hour. Joe receives a raise of $1.75 every six months, and Blaine receives a raise

Katarina [22]

After 4 interval of six months, Joe to earn same hourly rate as Blaine

Solution:

Given that,

Amount earned by Joe = $ 14 per hour

Amount earned by Blaine = $ 18 per hour

Lets assume the number of six month intervals be "x"

Joe receives a raise of $1.75 every six months

Therefore,

Joe earning: 14 + 1.75(number of six month intervals)

Equation for Joe earning: 14 + 1.75x ------- eqn 1

Blaine receives a raise of $0.75 every six months

Therefore,

Blaine earning: 18 + 0.75(number of six month intervals)

Equation for Blaine earning: 18 + 0.75x ------------ eqn 2

The number of six-month intervals it will take Joe to earn the same hourly rate as Blaine,

Eqn 1 must be equal to eqn 2

$14+1.75x = 18+0.75x\\\\1.75x-0.75x = 18-14\\\\1x = 4\\\\x = 4$

Thus after 4 interval of six months, Joe to earn same hourly rate as Blaine.

8 0

3 years ago

Help me on isosceles and equilateral triangles problems. Find the value of x in the triangle shown below.​

Help me on isosceles and equilateral triangles problems. Find the value of x in the triangle shown below.