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gayaneshka [121]
3 years ago
14

They want us toSolve for x

Mathematics
2 answers:
Margarita [4]3 years ago
8 0
The 3 inside angles of a triangle need to equal 180

you have 80 +60 = 140

so 51+x has to equal 180-140 or 40 degrees

51+x = 40

subtract 51 from each side
x = 40 - 51
x = -11
lina2011 [118]3 years ago
8 0
Just add up all 60 + 80 + 51 = 191.

191 - (-11) = 180 which is the number we would want to get.

(-11) would then because your answer as we do 180 + (-11) it would equal the sum of 191 which would be all the angles together.

Your answer: = (-11)
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X + 8 + 2x <= 2x + 13
sergejj [24]

Answer:

X = 15

Step-by-step explanation:

We move all terms to the left:

<em>x+8+2x-(2x+13)=0</em>

We add all the numbers together, and all the variables:

<em>3x-(2x+13)+8=0</em>

We get rid of parentheses:

<em>3x-2x-13+8=0</em>

We add all the numbers together, and all the variables:

<em>x-5=0</em>

We move all terms containing x to the left, all other terms to the right:

<em>x=5</em>

5 0
2 years ago
Suppose you hold a diversified portfolio consisting of a $7500 investment in each of 20 different common stocks. The portfolio's
natka813 [3]
The beta of the portfolio is the weighted average of the individual asset betas where
 the weights are the portfolio weights.

To get portfolio beta we will replace 1 stock of 20 or 5% of the portfolio.

The other stocks are 95% of the portfolio. 1.12 =0.95 ( b )+0.05*1

b= 1.126316

So not when we replace one and get other stock
Portfolio beta =0.95*1.126316 + 0.05*1.75=1.1575
3 0
2 years ago
An expirement consists of rolling two fair number cubes. What is the probability that the sum of the two numbers will be 4? Expr
ExtremeBDS [4]

Answer:

\dfrac{1}{12}

Step-by-step explanation:

Given:

Two fair number cubes i.e. two dice consisting the numbers 1, 2, 3, 4, 5, 6 on their faces and have equal probability of each number.

The dice are rolled.

To find:

Probability of getting the sum of two numbers as 4.

Solution:

First of all, let us have a look at the total possibilities when two dice are rolled:

([1][1], [1][2], [1][3], [1][4], [1][5], [1][6],

[2][1], [2][2], [2][3], [2][4], [2][5], [2][6],

[3][1], [3][2], [3][3], [3][4], [3][5], [3][6],

[4][1], [4][2], [4][3], [4][4], [4][5], [4][6],

[5][1], [5][2], [5][3], [5][4], [5][5], [5][6],

[6][1], [6][2], [6][3], [6][4], [6][5], [6][6])

These are total 36 possible outcomes.

For getting a sum as 4:

Possible number of favorable cases are 3 (as highlighted in BOLD in above)

Formula for probability of an event E can be observed as:

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

Required probability is:

\dfrac{3}{36} = \bold{\dfrac{1}{12}}

5 0
3 years ago
Can somebody answer this for me plz its my homework.​
timofeeve [1]

Answer:

The rule for a reflection over the y -axis is (x,y)→(−x,y) .

The rule for a reflection over the x -axis is (x,y)→(x,−y) .

sorry I can't help you with number 4, hopefully this helps!

6 0
3 years ago
Please help. I’ll mark you as brainliest if correct!
erica [24]

Step-by-step explanation:

Nicole starts with the budget:

$395

Now, she only expects to pay half the deposit;

$72 ÷ 2 = $36

Subtract this from the budget:

$395 - $36 = $359

Divide by cost per hour:

$359 ÷ $60 = 5.983333... (3 repeating)

This means, Nicole can rent a <em>maximum</em><em> </em>of 5 hours with her budget. The inequality would be

x  \leqslant 5

5 0
3 years ago
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