All categories

2 years ago

What is m∠RVS? What is X?

Mathematics

1 answer:

Mamont248 [21]2 years ago

6 0

9514 1404 393

Answer:

∠RVS = 154°
x = 12

Step-by-step explanation:

The diameter cuts the circle into parts that total 180° of arc.

RS +ST = 180°

RS = 180° -ST = 180° -26° = 154°

∠RVS = 154°

This value can be used to find x. Equating the angle measures, we have ...

RS = (15x -26)° = 154°

15x = 180 . . . . . divide by °, add 26

x = 180/15 . . . . divide by 15

x = 12

You might be interested in

What is 23% of 554??????????

alex41 [277]

To solve this, you would times 0.23 and 554. Therefore, the answer is 127.42

6 0

3 years ago

Read 2 more answers

Madison is carrying a 11.3 liter jug of sports drink that weighs 7 kg.

stellarik [79]

Answer:

$\large\boxed{\large\boxed{constat\text{ }multiple=\frac{113liter}{70kg}}}$

Explanation:

The <em>constant multiple of liters in a jug to the weight in kilograms</em> is the ratio or <em>fraction</em> that represents the number of liters of the sports drink in a jug to the weight.

$constat\text{ }multiple=ratio=\frac{number\text{ }of\text{ }liters}{weight\text{ }in\text{ }kg}$

$constat\text{ }multiple=\frac{11.3liter}{7kg}$

Convert the fraction into an equivalent fraction with integer numbers:

$constat\text{ }multiple=\frac{11.3liter\times 10}{7kg\times 10}=\frac{113liter}{70kg}$

Since, the fraction cannot be reduced, that is the answer.

6 0

3 years ago

Solving Rational equations. LCD method. Show work. Image attached.

Dmitry [639]

Answer:

$b=1$

Step-by-step explanation:

The given rational equation is

$\frac{2b-5}{b-2} -2=\frac{3}{b+2}$

The Least Common Denominator is $(b+2)(b-2)$ .

Multiply each term in the equation by the LCD.

$(b+2)(b-2)\times \frac{2b-5}{b-2} -(b+2)(b-2)\times2=(b+2)(b-2)\times\frac{3}{b+2}$

Simplify;

$(b+2)\times \frac{2b-5}{1} -2(b+2)(b-2)=(b-2)\times\frac{3}{1}$

$(b+2)(2b-5) -2(b+2)(b-2)=3(b-2)$

Expand and group similar terms

$2b^2-5b+4b-10 -2(b^2-4)=3b-6$

$2b^2-5b+4b-10 -2b^2+8=3b-6$

$-b-2=3b-6$

$3b+b=-2+6$

$4b=4$

$b=1$

3 0

3 years ago

Trish takes out a furniture loan of $5500 and a simple interest rate of 6% per year which of the following is closest to the amo

Step2247 [10]

Answer:

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year,

then, solving our equation

I = 5500 × 0.06 × 2.5 = 825

I = $ 825.00

The simple interest accumulated

on a principal of $ 5,500.00

at a rate of 6% per year

for 2.5 years is $ 825.00.

3 0

3 years ago

A school director must randomly select 6 teachers to part in a training session. There are 34 teachers at school. In how many di

prohojiy [21]

Answer:

Total possible ways to select 6 teachers from 34 teacher are $^{34}C_6=1344904$ .

Step-by-step explanation:

It is given that total number of teachers at a school is 34.

The school director must randomly select 6 teachers to part in a training session.

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

Where, n is total possible outcomes and r is number of selected outcomes.

Total teachers = 34

Selected teachers =6

Total number of possible ways to select 6 teachers from 34 teacher is

$^{34}C_6=\frac{34!}{6!(34-6)!}$

$^{34}C_6=\frac{34\times 33\times 32\times 31\times 29\times 28!}{6!(28)!}$

$^{34}C_6=1344904$

Therefore total possible ways to select 6 teachers from 34 teacher are $^{34}C_6=1344904$ .

7 0

2 years ago