Translate the inequality and solve. Negative three times a number is less than six.

The measure of the angle B is 74 degrees.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

Triangle ABC is translated 5 units to the right and 4 units up to create triangle A'B'C'.

If triangle ABC is translated 2 units up and 2 units right, that means that all the vertices of the triangle are translated by the same units 2 up and 2 right.

The angle sum property of a triangle;

80 + 26 + B = 180

B = 180 - 106

B = 74

Therefore, the size and shape of the triangle wouldn't change.

The triangle A'B'C' will still have the same size and shape, and all the sides will have the same length.

Hence, the measure of the angle B is 74 degrees.

Learn more about the triangles;

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Answer:

there are no signs between the x and y and constant

it could be

2x+5y=15

2x+5y=-15

-2x+5y=15

2x-5y=15

for ax+by=c, the equation of a line paralell to that is

ax+by=d where a=a, b=b, and c and d are constants

(for this answer, I'm going to use 2x+5y=15)

given 2x+5y=15, the equation of a line paralell to that is 2x+5y=d

to find d, subsitute the point (4,-2), basically put 4 in for x and -2 for y to get the constant

2x+5y=d

2(4)+5(-2)=d

8-10=d

-2=d

the eqaution is 2x+5y=-2 (Only if the original equation is 2x+5y=-15

pls mark me brainlest

Answer:

2x+ 5y= -2

Step-by-step explanation:

Answer:

[tex] x = \dfrac{1}{6} + \dfrac{i\sqrt{47}}{6} [/tex]   or   [tex] x = \dfrac{1}{6} - \dfrac{i\sqrt{47}}{6} [/tex]

Step-by-step explanation:

Use the quadratic formula.

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4(3)(4)}}{2(3)} [/tex]

[tex] x = \dfrac{1 \pm \sqrt{1 - 48}}{6} [/tex]

[tex] x = \dfrac{1 \pm \sqrt{-47}}{6} [/tex]

[tex] x = \dfrac{1}{6} \pm \dfrac{i\sqrt{47}}{6} [/tex]

[tex] x = \dfrac{1}{6} + \dfrac{i\sqrt{47}}{6} [/tex]   or   [tex] x = \dfrac{1}{6} - \dfrac{i\sqrt{47}}{6} [/tex]

Answer: {2, -9}

Step-by-step explanation: Think of these two binomials, x -2 and x + 9,

as two numbers that are multiplying together to equal zero.

In order for two numbers to multiply together to equal zero,

either one number or the other number must equal zero.

So for two binomials to multiply together to equal zero,

either one binomial or the other binomial must equal zero.

So we can split this problem up into two parts.

If (x - 2)(x + 9) = 0, then either x - 2 = 0 or x + 9 = 0.

On the left, add 2 to both sides and we have x = 2.

On the right, subtract 9 from both sides and we have x = -9.

For our final answer we use set notation.

So our answer is {2, -9}.

Answer:

2 and -9

Step-by-step explanation:

x-2=0

x=2

x+9=0

x=-9

Answer: 15

Step-by-step explanation: | | means the absolute value the absolute value of -15 is 15 because it is 15 units away from 0.

Answer: 10,000

Step-by-step explanation:Hope this helps!

Answer:

$6

Step-by-step explanation:

Each pack is $3

So therefore if you multiply 2($3) it is $6 for two packs

Answer: 15 16 17

Step-by-step explanation: Add them together and you should get 48

Answer:

x=21

Step-by-step explanation:

supplementary angles add up to 180°

7x-3+2x-6=180

collect like terms

9x-9=180

add 9 to both sides

9x=189

divide both sides by 9

x=21

Answer:

Step-by-step explanation:

It would be 2.

8/4=2

10^(4-4)=10^0 or 1

2*1=2

Answer:

Juan ate 5/8 his little brother ate 3/8

Step-by-step explanation:

Answer:

juan = 5/8

brother = 3/8

Answer:

$207

Step-by-step explanation:

Given the following :

Data:

X : Distance From Times Square (city blocks)

Y: Cost of a Room (dollars) (y)

The linear regression model generated for the data :

y = -7.8x + 246.3

y = predicted variable ; - 7. 8 = slope of model ; x = predictor variable ; 246.3 = intercept

Using the model:

The cost of a Room 5 block away :

x = 5

y = -7.8(5) + 246.3

y = - 39 + 246.3

y = $207.3

Answer:

x=7

Step-by-step explanation:

divide both sides by two. distribute on the left side. minus 9x on both sides. add 4 on both sides, and you get 7.

Answer:

x = 7

Step-by-step explanation:

Firstly, use the distributive property to distribute the 4 and the 2 respectively.

[tex]4(5x-2) = 2(9x+3)[/tex]

[tex]20x-8=18x+6[/tex]

Then, isolate the variable. Start by subtracting 18x from both sides.

[tex]2x - 8 = 6[/tex]

Add 8 to both sides.

[tex]2x = 14[/tex]

Divide both sides by 2.

[tex]x=7[/tex]

Answer:

the answer is x= 10

Step-by-step explanation:

Answer:

The expression to represent the total shipping costs for x package is 6x.

Tommy will pay $ 12 in shipping and handling for 2 packages.

Step-by-step explanation:

Given that the shipping and handling charge for 1 package = $ 6

So, by using the elementary method, the shipping and handling charge for x package is $ 6x.

Hence, the required expression to represent the total shipping costs for x package is 6x.

For 2 package, x=2

So, the shipping and handling charge for 2 package

=6x2

=12.

So, Tommy will pay $ 12 in shipping and handling for 2 packages.

Answer:

The letter E

780 is the answer. Hope this helps :)

Answer:B

Step-by-step explanation:-10 times -40 is -400 times -1 is 400.

Answer:

4

Step-by-step explanation:

Answer:

She missed 4 questions

Step-by-step explanation:

4/5=8/10=16/20

Answer:

Explained below.

Step-by-step explanation:

The probability density function of lifetime in months of a transistor in a certain application is:

[tex]f(x)=0.4\cdot e^{-0.4x};x>0[/tex]

The probability density function suggests that the random variable X follows a exponential function with parameter λ = 0.4.

(a)

Compute the mean lifetime as follows:

[tex]\mu=\frac{1}{\lambda}=\frac{1}{0.40}=2.5[/tex]

Thus, the mean lifetime is 2.5 months.

(b)

Compute the standard deviation of the lifetimes as follows:

[tex]\sigma=\sqrt{\frac{1}{\lambda^{2}}}=\sqrt{\frac{1}{0.40^{2}}}=2.5[/tex]

Thus, the standard deviation of the lifetimes is 2.5 months.

(c)

The cumulative distribution function of the lifetime is:

[tex]CDF=1-e^{-0.40x}[/tex]

(d)

Compute the probability that the lifetime will be less than 6 months as follows:

[tex]P(X<6)=\int\limits^{6}_{0} {0.40\cdot e^{-0.40x}} \, dx[/tex]

               [tex]=0.40\times [\frac{e^{-0.40x}}{-0.40}]^{6}_{0}\\\\=-1\times [e^{-0.40\times6}-e^{-0.40\times0}]\\\\=-0.090718+1\\\\=0.909282\\\\\approx 0.9093[/tex]

Thus, the probability that the lifetime will be less than 6 months is 0.9093.

(e)

Compute the 60th percentile of the lifetime as follows:

[tex]P(X<x)=0.60\\\\\int\limits^{x}_{0} {0.40\cdot e^{-0.40x}} \, dx=0.60\\\\0.40\times [\frac{e^{-0.40x}}{-0.40}]^{x}_{0}=0.60\\\\-1\times [e^{-0.40\times x}-e^{-0.40\times0}]=0.60\\\\1-e^{-0.40x}=0.60\\\\e^{-0.40x}=0.40\\\\-0.40x=\ln(0.40)\\\\-0.40x=-0.916291\\\\x=2.2907275\\\\x\approx 2.3[/tex]

Thus, the 60th percentile of the lifetime is 2.3 months.

Answer:

Equilateral, Isosceles, and Scalene triangles all have at least one pair of equal angles.

The angles must have the same degree and most of the time come when connected by or adjoined by 2 equal side lengths.

Answer:

103 at most and 87 at least

Step-by-step explanation:

95-8=87 seeds

95+8=103 seeds

Answer with step-by-step explanation:

Max: 25 + 3 = 28

Min: 25 - 3 = 22

Hope this helped!

Answer:

-3x -3

If this is not the answer you are looking for plz let me know!!!

Answer:

-6x+8=14

Step-by-step explanation:

1/2*(-6x+8)-7 |+7

1/2*(-6x+8)=7 | ÷1/2

-6x+8=14

You mean sth like this?

Answer:

Step-by-step explanation:

if its 3 - 4/7 then it = 2 3/7

if its 3*-4/7 then it = -12/7 = - 1 5/7

Answer:

The answer is A) 1/8^2

Step-by-step explanation:

Both of the equations simplified equal 1/64.

Answer:

y=-[tex]\frac{1}{9}[/tex]x+[tex]\frac{5}{3}[/tex]

Step-by-step explanation:

Answer:

He got 42,000 subs in the 2 weeks.

Step-by-step explanation:

ANSWER:

42,000

SOLUTION:

44,000

- 2,000

42,000

Answer:

12 : 8, 18 : 12, 24 : 16, 30 : 20

Step-by-step explanation:

These are the four after 6:4. I didn't know which you needed.

Answer:

3:2

Step-by-step explanation:

If you want to simplify 6:4, it also makes an equivalent equation. To simplify this, we divide by the greatest number that both numbers can be evenly divided by. 6 and 4 can both be divided by 2, which is the biggest number we can divide both numbers by.

6/2=3

4/2=2

The ratio is now simplified/equivalent to 3:2.

I hope this helps...have an amazing day c:

Answer:

Step-by-step explanation:

step 1:  0.75 x 6 = 4.5

step 2:   0.75 x d = 0.75d

step 3:    4.5 + 0.75d = 5.25d

It's correct answer