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3 years ago

Find Angles in isosceles triangles

Mathematics

1 answer:

Sidana [21]3 years ago

3 0

Answer:

the value of x is 61 degree because the base angles of an isosceles triangle are equal.

Step-by-step explanation:

Hope it helps you!!

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Find the real solution(s) of the equation 5x3 = 1080.

Aleonysh [2.5K]

5x^3=1,080

1. Divide both sides by 5.
x^3=216
2. Write 216 in exponential form.
x^3=6^3
3. Root.
x=6
Solution: x=6

3 0

3 years ago

Two players, A and B alternatively toss a fair coin (A tosses the coin first, then B tosses the coin, then A, then B and so on).

monitta

The E(T) is 4 when A and B, two players, alternately toss a fair coin (A tosses the coin first, then B tosses the coin, then A, then B and so on).

Given that,

A and B, two players, alternately toss a fair coin (A tosses the coin first, then B tosses the coin, then A, then B and so on). The heads and tails are recorded in order. The game is over and the winner is the person who throws the tail if there is a head followed by a tail (HT sub-sequence).

We have to find what is the anticipated game length. Let the game continue for T number of coin tosses. Find E (T).

We know that,

Here,

E(T )=first time sequence HT occurs

E(T) = P(first H)× P(expected number till 1st T |first H)+ P(first T)× P(expected number till 1st HT |first T)

E(T) =0.5×(1+2)+0.5×(1+E(T))

0.5×E(T)=0.5×4

E(T) =4

Therefore, The E(T) is 4 when A and B, two players, alternately toss a fair coin (A tosses the coin first, then B tosses the coin, then A, then B and so on).

To learn more more about coin visit: brainly.com/question/5495713

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8 0

1 year ago

If an isosceles triangle ABC has a vertex B, and AB=6×+3, BC<br> BC=8x-1, and AC=10x-10, find x

saw5 [17]

Using the given information, the value of x is 2

<h3>Calculating the length of the leg of an isosceles triangle</h3>

From the question, we are to determine the value of x

From the given information,

The isosceles triangle ABC has its vertex at B

If the vertex is at B, then we can conclude that

AB = BC (<em>Legs of an isosceles triangle are equal a</em>)

Also, from the given information,

AB = 6×+3

BC = 8x-1

Thus,

6x + 3 = 8x - 1

Collect like terms

3 + 1 = 8x - 6x

4 = 2x

2x = 4

∴ x = 4/2

x = 2

Hence, the value of x is 2

Learn more on Isosceles triangle here: brainly.com/question/18640272

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4 0

2 years ago

3. A new house was purchased in 1990 for $175,000.

brilliants [131]

<h3>Answer: $655,430.67</h3>

===============================================

Work Shown:

$A = P*(1+r)^t\\\\A = 175,000*(1+0.045)^{30}\\\\A = 175,000*(1.045)^{30}\\\\A \approx 175,000*3.74531813453687\\\\A \approx 655,430.673543952\\\\A \approx 655,430.67\\\\$

The home's value in 2020 is approximately $655,430.67 assuming that the rate of inflation is kept at 4.5% per year.

Note that for the r value, I used the decimal form of 4.5% (so you'll move the decimal point 2 spots to the left).

Also, the timespan from 1990 to 2020 is 2020-1990 = 30 years, which is why I used this for the t value.

3 0

3 years ago

You might need:

Soloha48 [4]

Answer:

I believe x=18.

7 0

3 years ago