All categories

3 years ago

17 Find x if mZRTU = 11x - 7, mZSTR = 2x + 16, and mZSTU = 152°. R. S T U

Mathematics

1 answer:

sergij07 [2.7K]3 years ago

6 0

Answer:

Step-by-step explanation:

Angle SRT + angle RTU = angle STU

11x - 7 + 2x + 16 = 152 add like terms

13x + 9 = 152

13x = 143

x = 11

You might be interested in

Scott invests $1000 at a bank that offers 6% compounded annually.Write an equation to model the growth of the investment

gladu [14]

Answer:

Step-by-step explanation:

Using the formula for the growth of investment:

.....[1]

where,

A is the amount after t year

P is the Principal

r is the growth rate in decimal

As per the statement:

Scott invests $1000 at a bank that offers 6% compounded annually.

⇒P = $1000 and r = 6% = 0.06

substitute these in [1] we get;

⇒

Therefore, an equation to model the growth of the investment is,

7 0

1 year ago

Solve the inequality 2x – 5 > 7<br> a. x>6<br> b. x >12<br> c. x

julsineya [31]

You start with 2x -5>7 the you add five to both sides 2x-5+5>7 +5 2x.12 then divide both sides by 2 2x divided by 2 > and 12 divided by 2 and get x>6

3 0

2 years ago

A worker at a landscape design center uses a machine to fill bags with potting soil. Assume that the quantity put in each bag fo

defon

Answer:

a) The expected value is given by:

$E(X) =\frac{a+b}{2}= \frac{10+12}{2}= 11$

The variance is given by:

$Var(X) = \frac{(b-a)^2}{12}= \frac{(12-10)^2}{12}= 0.3333$

And the standard deviation is just the square root of the variance and we got:

$Sd(x) = \sqrt{0.3333}= 0.5774$

b) $P(X$

And we can use the cumulative distribution function given by:

$F(x) = \frac{x-a}{b-a}, a \leq x \leq b$

And using this function we got:

$P(X$

c) $P(X>10.5)$

And using the complement rule and the cumulative distribution function we got:

$P(X>10.5)= 1-P(X$

Step-by-step explanation:

For this case we define the random variable X=quantity put in each bag , and we know that the distribution for X is given by:

$X \sim Unif (a= 10, b =12)$

Part a

The expected value is given by:

$E(X) =\frac{a+b}{2}= \frac{10+12}{2}= 11$

The variance is given by:

$Var(X) = \frac{(b-a)^2}{12}= \frac{(12-10)^2}{12}= 0.3333$

And the standard deviation is just the square root of the variance and we got:

$Sd(x) = \sqrt{0.3333}= 0.5774$

Part b

For this case we want this probability:

$P(X$

And we can use the cumulative distribution function given by:

$F(x) = \frac{x-a}{b-a}, a \leq x \leq b$

And using this function we got:

$P(X$

Part c

For this case we want this probability:

$P(X>10.5)$

And using the complement rule and the cumulative distribution function we got:

$P(X>10.5)= 1-P(X$

3 0

3 years ago

In this equation, the variable is divided by 8. What is the reverse of this

Marrrta [24]

Answer:

Step-by-step explanation:

multiplication is the inverse of division and subtraction is the inverse of addition

4 0

3 years ago

Darren has gotten 2 offers for jobs in the alternative energy industry. offer #1 pays $31,000 per year with 2,000 raise each yea

katovenus [111]

Answer: Darren

A) Job Offer #1 would be better financially until job offer 2 (in 12 years) would be a better and have more income, so IMO job offer #1 would set you better off financially

B) it would take 12 years for job offer #2 to become a better offer (you can also express this in your own words if needed)

6 0

3 years ago

17 Find x if mZRTU = 11x - 7, mZSTR = 2x + 16, and mZSTU = 152°. R. S T U​

17 Find x if mZRTU = 11x - 7, mZSTR = 2x + 16, and mZSTU = 152°. R. S T U