3 years ago

An angle measures 16.4° less than the measure of its supplementary angle. What is the measure of each angle?

Mathematics

1 answer:

Black_prince [1.1K]3 years ago

3 0

Answer:

Step-by-step explanation:

Let one angle = A

Let the other angle = B

A + B = 180

A = B - 16.4 Substitute for A in the top equation

B - 16.4 + B = 180 Combine the left

2B - 16.4 = 180 Add 16.4 to both sides

2B = 180 + 16.4

2B = 196.4 Divide by 2

B = 196.4/2

B = 98.2

A = B - 16.4

A = 98.2 - 16.4

A = 81.8

You might be interested in

What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47+ ...?

Alex

Answer:

$\huge\boxed{18,475}$

Step-by-step explanation:

The terms of this sum make the arithmetic sequence.

The fomula of a sum of <em>n</em> terms of an arithmetic sequence:

$S_n=\dfrac{[2a_1+(n-1)d]\cdot n}{2}$

We have

$a_1=2\\d=17-2=32-12=47-32=15\\n=50$

Substitute:

$S_{50}=\dfrac{[2\cdot2+(50-1)\cdot15]\cdot50}{2}=(4+49\cdot15)\cdot25=(4+735)\cdot25\\\\=739\cdot25=18,475$

3 0

3 years ago

What is the answer?

g100num [7]

I'll tell you the answer but should I graph it, solve for x, solve for y, or what should I solve for?

3 0

3 years ago

Find the missing angle

Mrrafil [7]

90 minus 63 equals 37

5 0

3 years ago

Read 2 more answers

P and a are on points on the line 4x+2y=8. What are the coordinates?

KATRIN_1 [288]

(0, 4) and (2, 0) are the coordinates

8 0

3 years ago

Read 2 more answers

the length of a rectangle is 3 times the width. If the length is increased by 4 cm and the width is decreased by 1 cm, the perim

N76 [4]

Answer:

L=36, W=12

Step-by-step explanation:

In the attached file

6 0

3 years ago