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sweet [91]
2 years ago
13

Find the value of x. * Please help I’m really confused

Mathematics
1 answer:
mezya [45]2 years ago
4 0

Due to the Triangle Angle Sum Theorem, we know that the sum of the interior angles of a triangle is 180 degrees.

90 + 2x - 2 + x + 5 = 180 degrees.

Combine like terms.

3x + 93 = 180

Subtract 93 from both sides.

3x = 87

Divide both sides by 3

x = 29

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One reading at an arctic research station showed that the temperature was -35 c what is this temperature in degrees fahrenheit?
DedPeter [7]
-35c is the same as -31 fahrenheit
7 0
2 years ago
BC= <br> AC=<br> m When it’s a 45-45-90 triangle
Katena32 [7]

Answer:

BC = 6

AC = square root of 72 or 8.485...

angle A = 45

Step-by-step explanation:

BC = BA

AC^2 = BA^2 + BC^2

angle A = 180-(90+45)

3 0
3 years ago
A student takes a true-false test that has 10 questions and guesses randomly at each answer. Let X be the number of questions an
Dvinal [7]

Answer:

P(Fewer than 3) = 0.05.

Step-by-step explanation:

We are given that a student takes a true-false test that has 10 questions and guesses randomly at each answer.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 10 questions

            r = number of success = fewer than 3

           p = probability of success which in our question is probability

                that question is answered correctly, i.e; 50%

<u>LET X = Number of questions answered correctly</u>

So, it means X ~ Binom(n = 10, p = 0.50)

Now, Probability that Fewer than 3 questions are answered correctly is given by = P(X < 3)

P(X < 3)  = P(X = 0) + P(X = 1) + P(X = 2)

=  \binom{10}{0}\times 0.50^{0} \times (1-0.50)^{10-0}+ \binom{10}{1}\times 0.50^{1} \times (1-0.50)^{10-1}+ \binom{10}{2}\times 0.50^{2} \times (1-0.50)^{10-2}

=  1 \times 0.50^{10} + 10 \times 0.50^{10} +45 \times 0.50^{10}

=  0.05

Hence, the P(Fewer than 3) is 0.05.

4 0
3 years ago
The simple interest owed on a loan of $5,600 after 4 years is $1,008. What percent represents the annual interest rate on the lo
Alona [7]

9514 1404 393

Answer:

  4.5%

Step-by-step explanation:

The interest is given by ...

  I = Prt . . . . interest at annual rate r for t years on principal P

  1008 = 5600r·4

  1008/22400 = r = 0.045 = 4.5%

The annual interest rate on the loan is 4.5%.

7 0
3 years ago
Solve the system using elimination 3x+2y=17 and 2x+5y=26
Arte-miy333 [17]

Answer:

3x + 2y = 17

2x + 5 y = 26

Step-by-step explanation:

3x + 2y = 17 }

2x + 5 y = 26}

x - 3y = - 9

x = -9 + 3y

=> 2 (-9+3y)+5y=26

-18+6y+5y=26

-18+11y=26

11y=26+18

11y=44

y= 4

3x + 8=17

3x = 17 - 8

3x = 9

x = 9 : 3

x = 3

4 0
3 years ago
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