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2 years ago

Find the value of x in the triangle shown below.

Mathematics

1 answer:

otez555 [7]2 years ago

3 0

Answer:

Thus, the value of x in the given triangle is 55°

Step-by-step explanation:

Given - Dimensions of triangle and angles

of triangle

Find - Value of x

Solution - The value of x in the given triangle is 55°.

As per the given dimensions of the triangle, the triangle is isosceles. This states that the neighbouring angle will be x° as well.

Thus, the mathematical expression of all the angles of a given triangle will be -

x + x + 80 = 190

2x + 80 = 190

2x = 190 - 80

2x = 110

x = 110/2

x = 55°

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Answer : The fifth term in the sequence is -2.

Step-by-step explanation :

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3 years ago

Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.Josiah has punch c

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Solving by substitution. Set T=C, then

$\begin{gathered} T=C \\ \Rightarrow2+7x=11+4x \\ \Rightarrow3x=9 \\ \Rightarrow x=\frac{9}{3}=3 \\ \Rightarrow x=3 \end{gathered}$

Thus, substitute the value of x=3 into the first equation,

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1 year ago

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3 years ago

Read 2 more answers

A company is bidding on two projects, A and B. The probability that the company wins project A is 0.40 and the probability that

kondaur [170]

Answer:

Probability that the company wins project A or project B is 0.50.

Step-by-step explanation:

We are given that a company is bidding on two projects, A and B. The probability that the company wins project A is 0.40 and the probability that the company wins project B is 0.25.

Also, Winning project A and winning project B are independent events.

Let the Probability of winning project A = P(A) = 0.40

Probability of winning project B = P(B) = 0.25

Probability that the company wins project A or project B = $P(A \bigcup B)$

$P(A \bigcup B) = P(A) + P(B) - P(A \bigcap B)$

So, we have to find the value of Probability of winning project A and B, i.e;

$P(A \bigcap B)$

<em>Since, we are given that Winning project A and winning project B are independent events which means when this condition is given then;</em>

$P(A \bigcap B) = P(A) \times P(B)$

= 0.40 $\times$ 0.25 = 0.10

Now, Probability that the company wins project A or project B is given by;

$P(A \bigcup B) = P(A) + P(B) - P(A \bigcap B)$

= 0.40 + 0.25 - 0.10

= 0.65 - 0.10 = 0.55

Hence, probability that the company wins project A or project B is 0.50.

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3 years ago