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3 years ago

The measures of the angles of a triangle are (3x – 100)°, (x – 10)°, and (x – 10)°.

Mathematics

1 answer:

statuscvo [17]3 years ago

7 0

Answer:

x = 60

largest angle = 80°

Step-by-step explanation:

the sum of all three angles in a triangle = 180°

(3x - 100) + (x - 10) + (x - 10) = 180

simplify:

5x = 300

x = 60

angles are 80°, 50°, and 50°

You might be interested in

The product of two positive consecutive odd integers is 2703. What are the positive numbers?

liberstina [14]

Answer:

The positive numbers are 51 and 53

Step-by-step explanation:

Let first odd integer be x and another odd integer is (x+2).

According to the given condition,

The product of two positive consecutive odd integers is 2703 i.e.

x(x+2) = 2703

$x^2+2x-2703=0$

It is a quadratic equation. It can be solved as follows :

x = 51 and x = -53

Neglecting negative sign,

The first number = 51

Another number =(51+2) = 53

Hence, the positive numbers are 51 and 53.

7 0

3 years ago

4a. In a book store, for every 9 books sold, 13 magazines were sold. If they had a 572 sales, how many of the sales were for boo

topjm [15]

Answer:

234 books.

Step-by-step explanation:

You need to set up a proportion. Be careful to note what it looks like and the explanation that follows.

9 books 13 magazines

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

x 572 - x Cross multiply

What you want is the number of book sales from the proportion.

However all you have is the ratio of books to magazines. So you have to set up the total sales to magazines, which is a bit awkward. 572 - x is the number of magazine sales.

9*(572 - x) = 13x Remove the brackets on the left.

5148- 9x = 13x Add 9x to both sides.

5148 = 13x + 9x Transpose and add the right.

22x = 5148 Divide by 22

x = 5148/22

x = 234

234 books were sold.

5 0

3 years ago

Pls help and give me right anwser

Kaylis [27]

Answer:

Step-by-step explanation:

s+1+2s-1+90=180 degree(being linear pair)

3s+90=180

3s=180-90

s=90/3

s=30 degree

6 0

3 years ago

Read 2 more answers

What's wrong with the following statement?

NeTakaya

Answer:

It is not a normal distribution but an uniform distribution

Step-by-step explanation:

A uniform distribution is one in which all values are equally likely within a range, therefore in lottery drawings, any of the numbers are likely to appear, however a normal distribution the values are likely to cluster around the mean, or average. Meaning that numbers far away from the mean won't appear that often, however, in lottery drawings, this normal distribution doesn't happen.

4 0

3 years ago

Suppose that events E and F are independent, P(E)equals=0.40.4, and P(F)equals=0.90.9. What is the Upper P left parenthesis

Dominik [7]

Answer:

The probability of E and F is 0.367236 ≅ 0.367

Step-by-step explanation:

* Lets study the meaning independent probability

- Two events are independent if the result of the second event is not

affected by the result of the first event

- If A and B are independent events, the probability of both events

is the product of the probabilities of the both events

- P (A and B) = P(A) · P(B)

* Lets solve the question

- There are two events E and F

- E and F are independent

- P(E) = 0.404

- P(F) = 0.909

∵ Events E and F are independent

- To find P(E and F) find the product of P(E) and P(F)

∴ P (E and F) = P(E) · P(F)

∵ P(E) = 0.404

∵ P(F) = 0.909

∴ P(E and F) = (0.404) · (0.909) = 0.367236 ≅ 0.367

* The probability of E and F is 0.367236 ≅ 0.367

8 0

3 years ago