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3 years ago

What is the value of x? Enter your answer in the box. x =

Mathematics

2 answers:

Oksana_A [137]3 years ago

5 0

It's an equilateral triangle so each angle = 60°

2x-4=60
2x=64

x=32

GuDViN [60]3 years ago

3 0

The triangle is an equilateral triangle because all sides are congruent therefore, each angle of the triangle is 60 degrees.

2x - 4 = 60 (Add 4 to each side)

2x = 64 (Divided by 2 to each side)

x = 32 degrees

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If you plan to receive $300 of interest over 15 months on an initial investment of $1200, what is the nominal annual rate of int

Romashka [77]

Answer:

£5566 the answer is no longer be available for remote

5 0

3 years ago

Solve the system using the substitution method <br> 2x+y=6<br> 3x+5y=9<br> branliest offered

KiRa [710]

2x+y=6
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3 years ago

Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1, on

Iteru [2.4K]

Answer:

$P(X_i=2) =\dfrac{1}{6}$

$P(X_i=-1) =\dfrac{5}{6}$

Step-by-step explanation:

Given the numbers on the chips = 1, 1, 3 and 5

Miguel chooses two chips.

Condition of winning: Both the chips are same i.e. 1 and 1 are chosen.

Miguel gets $2 on winning and loses $1 on getting different numbers.

To find:

Probability of winning $2 and losing $1 respectively.

Solution:

Here, we are given 4 numbers 1, 1, 3 and 5 out of which 2 numbers are to be chosen.

This is a simple selection problem.

The total number of ways of selecting r numbers from n is given as:

$_nC_r = \frac{n!}{r!(n-r)!}$

Here, n = 4 and r = 2.

So, total number of ways = $_4C_2 = \frac{4!}{2!\times 2!} = 6$

Total number of favorable cases in winning = choosing two 1's from two 1's i.e. $_2C_2 = \frac{2!}{2! 0! } = 1$

Now, let us have a look at the formula of probability of an event E:

$P(E) = \dfrac{\text{Number of favorable ways}}{\text{Total number of ways}}$

So, the probability of winning.

$P(X_i=2) =\dfrac{1}{6}$

Total number of favorable cases for -1: (6-1) = 5

So, probability of getting -1:

$P(X_i=-1) =\dfrac{5}{6}$

Please refer to the attached image for answer table.

7 0

3 years ago

Imani sells shirts packed in boxes that are each 15in. x 10in. x 2in. Imani stacked 3 boxes and wrapped them with one piece of p

AnnZ [28]

Answer:

She used 600 square inches of paper.

Step-by-step explanation:

Since the box are 15 in x 10 in x 2 in and are stacked on top of each other, they form a bigger rectangular prism with 15 in x 10 in x 6 in. In order to calculate how much paper she used, we need to calculate the surface area of this prism, this is done by using the following formulla:

surface area = 2*width*length + 2*width*height + 2*length*height

surface area = 2*15*10 + 2*15*6 + 2*10*6 = 300 + 180 + 120

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She used 600 square inches of paper.

6 0

4 years ago

1) A computer is on sale for 15% off the regular price of $799.

Leviafan [203]

Answer:

Here u go

Step-by-step explanation:

1. 15/100 × $799 = $119.85

2. $799 - $119.85 = $679.15

5 0

3 years ago