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2 years ago

Find the value of x in each triangle

Mathematics

1 answer:

Tanzania [10]2 years ago

6 0

Answer:

x = 20

Step-by-step explanation:

ok so we know that one angle equals 90 degrees

90 = x + 2x

90 = 3x

90 / 3 = 20

3x / 3 = x

20 = x

You might be interested in

How many solutions does 2x+ 2x+ 2=4+2x have

yuradex [85]

Let's see!
$2x + 2x + 2 = 4 + 2x\\ 4x + 2 = 4 + 2x\\ 4x - 2x + 2 = 4 + 2x - 2x\\ 2x + 2 = 4\\ 2x + 2 - 2 = 4 - 2\\ 2x + 0 = 2\\ 2x = 2\\ 2x/2 = 2/2\\ x = 1\\$
The answer is B

3 0

3 years ago

A bank in the Bay area is considering a training program for its staff. The probability that a new training program will increas

WITCHER [35]

Answer:

$P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68$

See explanation below.

Step-by-step explanation:

For this case we define first some notation:

A= A new training program will increase customer satisfaction ratings

B= The training program can be kept within the original budget allocation

And for these two events we have defined the following probabilities

$P(A) = 0.8, P(B) = 0.2$

We are assuming that the two events are independent so then we have the following propert:

$P(A \cap B ) = P(A) * P(B)$

And we want to find the probability that the cost of the training program is not kept within budget or the training program will not increase the customer ratings so then if we use symbols we want to find:

$P(B' \cup A')$

And using the De Morgan laws we know that:

$(A \cap B)' = A' \cup B'$

So then we can write the probability like this:

$P(B' \cup A') = P((A \cap B)')$

And using the complement rule we can do this:

$P(B' \cup A') = P((A \cap B)')= 1-P(A \cap B)$

Since A and B are independent we have:

$P(A \cap B )=P(A)*P(B) =(0.8*0.4) =0.32$

And then our final answer would be:

$P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68$

5 0

2 years ago

Evaluate: g(x) = 3•2x+2 + 3 g(3)

Studentka2010 [4]

Answer:23

Step-by-step explanation:

3·2（3）+2+3

=3·6+2+3

=23

6 0

3 years ago

Solve the equation. 19 = 14 + k k=

Iteru [2.4K]

Solve for k by simplifying both sides of the equation, then isolating the variable .

Answer - K=5

Hope this helps!
Have a great day! :)

4 0

3 years ago

Read 2 more answers

PLEASE HELP

katovenus [111]

Answer:

$593.26

Step-by-step explanation:

We know that the price of the laptop is $2500 and each year its resale value decreases by 25%. It means that 100 - 25 = 75% of the value is retained every year for the resale.

So, the resale value for 1st year = $\frac{75}{100} *2500 =$ $1875