All categories

2 years ago

M∠GHI = 3x° and m∠LMN = 17x°. If ∠GHI and ∠LMN are supplementary, find the measure of each angle.

Mathematics

2 answers:

Savatey [412]2 years ago

3 0

If they are supplementary then 3x + 17x = 180

20x = 180

x = 9
m<GHI = 27 degrees
m < LMN = 153 degrees

Helga [31]2 years ago

3 0

Answer:

The answers are:

m∠GHI=27

m∠LMN=153

Step-by-step explanation:

In order to determine the answer, we have to know about supplementary angles.

Two angles are supplementary when the sum of them is 180 degrees.

So, with this information, we can build an equation. This equation will be useful to determine the value of "x" variable. Then, with this value, we will determine the value of each angle.

m∠GHI+m∠LMN=3x+17x=180

$3x+17x=180\\20x=180\\x=\frac{180}{20}\\ \\x=9$

Then, we can determine each angle:

m∠GHI=3*9=27

m∠LMN=17*9=153

Finally, the measure of each angle is:

m∠GHI=27

m∠LMN=153

You might be interested in

How can I solve ¾ - (-5/12)?

Oksana_A [137]

Answer:

$1 \frac{1}{6}$

Step-by-step explanation:

$\frac{3}{4}+ \frac{5}{12} =?\\$

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

$(\frac{3}{4}$ × $\frac{3}{3} )$ + $(\frac{5}{12}$ × $\frac{1}{1})=?$

Complete the multiplication and the equation becomes

$\frac{9}{12} + \frac{5}{12}$

The two fractions now have like denominators so you can add the numerators.

$\frac{9+5}{12} = \frac{14}{12}$

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 14 and 12 using

GCF(14,12) = 2

14÷2 / 12÷2 =7/6

The fraction

7/6

is the same as

7÷6

Convert to a mixed number using

long division for 7 ÷ 6 = 1R1, so

7/6= $1 \frac{1}{6}$

Therefore:

3/4 − (−5/12) = $1 \frac{1}{6}$

Solution by Formulas

Apply the fractions formula for subtraction, to

3/4 − (−5/12)

and solve

(3×12) − (−5×4) 4×12

=3/6− (−20/48)

=56/48

Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF( 56,48) = 8

56÷8 / 48÷8 =7/6

Convert to a mixed number using

long division for 7 ÷ 6 = 1R1, so

7/6= $1 \frac{1}{6}$

Therefore:

3/4 − (-5/12) = $1 \frac{1}{6}$

8 0

1 year ago

[URGENT] (25 points) Ryan randomly drew a marble out of a bag of marbles, then put it back. He did

Alenkasestr [34]

Answer:

Unpredictable

Step-by-step explanation:

Cuz if u look at it it is also random and u cant predict a random thing, so its quite simply unpredictable

4 0

2 years ago

Which expression is not equivalent to the other expressions?

Ket [755]

That would be D

the first 3 = -12x + 24

bur D = -12x - 24

4 0

3 years ago

Read 2 more answers

Does 24,7 and 26 make a right triangle

makvit [3.9K]

Answer:

no it doesn't

Step-by-step explanation:

Use the Pythagorean theorem(a^2 + b^2 = c^2) to find out if 3 sides will form a right angle.

Hope this helps!! :D

6 0

3 years ago

Read 2 more answers

Using the Division algorithm to find q and r such that 3662 = q·16+r , where 0 ≤ r < 16 . What if we take c = −3662 instead o

bagirrra123 [75]

Answer:

a) If c=3662 then q=228 and r=14.

b) If c=-3662, then q=-229 and r=2

Step-by-step explanation:

a) Observe that 229*16=3664, since r must be in the interval [0,16), then 229 doesn't work, but 228*16=3648 and 3662-3648=14.

Then 3662=228*16+14.

b) Observe that -228*16=-3648 and -3648-14=-3662, but r= must be positive. Then -228 doesn't work.

But observe that -229*16=-3664 and -3664+2=-3662. So -3662=-229*16+2

4 0

3 years ago