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4 years ago

Help please thank you

Mathematics

1 answer:

Ad libitum [116K]4 years ago

5 0

In order for the triangle to be isosceles, we have to set two lengths of the triangle equal to each other.

Let's take the lengths 5x-12 and x+20 and set them equal to each other.

5x - 12 = x + 20

Combine like terms by moving them over to their respective sides.

Subtract x from both sides of the equation.

4x - 12 = 20

Add 12 to both sides of the equation.

4x = 32

Divide both sides by 4.

x = 8

Check your answer by substituting.

5x - 12 = x + 20

5(8) - 12 = 8 + 20

40 - 12 = 28

28 = 28

Solution: x = 8

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serious [3.7K]

I think it’s B? i’m not too sure

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3 years ago

In Miron's class, there are 25 students. 3/5 of the students are boys. How many of the students in his class are boys?

Basile [38]

Answer:

Step-by-step explanation:

to find it we must do this equation:

(25/5) * 3

5 * 3 = 15

To check :

15/25 = 3/5

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3 0

3 years ago

Read 2 more answers

examine the graph below. select the solutions to the graph from the following points. select three that apply.

vova2212 [387]

Answer:

Options (1), (2), (3)

Step-by-step explanation:

Let the equation of the line is,

y = mx + b

Here m = slope of the line

b = y-intercept

Given line on the graph is passing through two points (-3, 0) and (0, 1).

Slope of this line will be,

m = $\frac{y_2-y_1}{x_2-x_1}$

= $\frac{1-0}{0+3}$

= $\frac{1}{3}$

y-intercept of the line 'b' = 1

Equation of the line will be,

y = $\frac{1}{3}x+1$

If the points given in the options satisfy the equation, they will be the solution of the line.

Option (1),

For (3, 2),

2 = $\frac{3}{3}+1$

2 = 2

True.

(3, 2) is the solution.

Option (2)

For (21, 8),

8 = $\frac{21}{3}+1$

8 = 8

True.

(21, 8) is the solution.

Option(3)

For (-15, -4),

-4 = $\frac{-15}{3}+1$

-4 = -4

True.

(-15, -4) is the solution.

Option (4)

For (12, 9)

9 = $\frac{12}{3}+1$

9 = 5

False

(12, 9) is not the solution.

Option (5)

For (-6, 1)

1 = $\frac{-6}{3}+1$

1 = -1

False

(-6, 1) is not the solution.

Therefore, Options (1), (2), (3) are the solutions.

5 0

3 years ago

I need to find the missing angle measures.

scoray [572]

Answer:

step 1. b = 102° (vertical angles)

step 2. one complete revolution equals 360°

step 3. a + b + c + 102 = 360

step 4. a + 102 + c + 102 = 360

step 5. a + c = 156°

step 6. 2a = 156 (vertical angles are equal)

step 7. a = 78°, c = 78°.

4 0

3 years ago

You and a friend play a game where you each toss a balanced coin. If the upper faces on the coins are both tails, you win $1; if

oksian1 [2.3K]

Answer: The mean and variance of Y is $0.25 and $6.19 respectively.

Step-by-step explanation:

Given : You and a friend play a game where you each toss a balanced coin.

sample space for tossing two coins : {TT, HT, TH, HH}

Let Y denotes the winnings on a single play of the game.

You win $1; if the faces are both heads

then P(Y=1)=P(TT)= $\dfrac{1}{4}=0.25$

You win $6; if the faces are both heads

then P(Y=6)=P(HH)= $\dfrac{1}{4}=0.25$

You loose $3; if the faces do not match.

then P(Y=1)=P(TH, HT)= $\dfrac{2}{4}=0.50$

The expected value to win : E(Y)= $\sum_{i=1}^{i=3} y_ip(y_1)$

$=1\times0.25+6\times0.25+(-3)\times0.50=0.25$

Hence, the mean of Y : E(Y)= $0.25

$E(Y^2)=\sum_{i=1}^{i=3} y_i^2p(y_i)\\\\=1^2\times0.25+6^1\times0.25+(-3)^2\times0.5\\\\=0.25+1.5+4.5=6.25$

Variance = $E[Y^2]-E(Y)^2$

$=6.25-(0.25)^2=6.25-0.0625=6.1875\approx6.19$

Hence, variance of Y = $ 6.19

6 0

4 years ago