All categories

2 years ago

Two supplementary angles have measures of 9x degrees and 3x degrees. What is the measure of the longer angle?

Mathematics

1 answer:

strojnjashka [21]2 years ago

5 0

9x+3x=180 by def. of supplementary
12x=180
12/12x=180/12
x=15

9x=9(15)=135°

You might be interested in

A local health clinic surveys its patients about their waterdrinking habits. It found the data is normally distributed,the mean

satela [25.4K]

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

water drinking habits:

mean = 62 ounces

standard deviation = 5.2 ounces

Step 02:

normally distribution:

95% ===> 2 SD

(62 + 5.2 + 5.2) ounces = 72.4 ounces ==> + 2 SD

(62 - 5.2 - 5.2) ounces = 51.6 ounces ==> - 2 SD

The answer is:

51.6 ounces - 72.4 ounces

3 0

1 year ago

Is y-2x=0 proportional?

xz_007 [3.2K]

Yes because it has 0 in it

8 0

2 years ago

What is the standard form equation of the line shown below?

aivan3 [116]

Standard form of an equation is ax + by = c, which in this case is 5x + 3y = 14, or B.

3 0

2 years ago

Read 2 more answers

Determine the unknown angle measures, to the nearest degree, in the diagram provided.

serg [7]

Answer:

a is 53.8°, and b is 36.2°

Step-by-step explanation:

Using sine trig rule:

${ \boxed{ \bf{ \sin(b) = \frac{opposite}{hypotenuse} }}}$

${ \tt{ \sin(b) = \frac{78}{132} }} \\ \\ { \tt{b = { \sin }^{ - 1}( \frac{78}{132} ) }} \\ \\ { \tt{b = 36.2 \degree}}$

Summation of angles of triangle:

${ \tt{a + b + 90 \degree = 180 \degree}} \\ { \tt{a + 36.2 \degree + 90 \degree = 180 \degree}} \\ { \tt{a = (180 - 36.2 - 90) \degree}} \\ { \tt{a = 53.8 \degree}}$

7 0

2 years ago

What’s the fifth term of a sequence whose first term is 5 and whose common ratio is 3?

SSSSS [86.1K]

Answer:

405.

Step-by-step explanation:

This is a geometric sequence where the nth term = a1 r^(n -1).

Here a1 = 5 and r = 3 so

the fifth term a5 = 5(3)^(5-1)

= 5 * 81

= 405.

4 0

2 years ago