All categories

4 years ago

∠ R and∠ S are complementary. If m ∠ R = 12x - 3 and m ∠ S = 7x - 2, find m ∠ R.

Mathematics

1 answer:

Paha777 [63]4 years ago

3 0

Step-by-step explanation:

<h2>Sum of two complementary angle is 90°</h2><h2 /><h2>so. </h2><h2><R+<S =90°</h2><h2>12x-3+7x-2=90°</h2><h2>19x-5=90°</h2><h2>19x=95°</h2><h2>X= 5</h2>

You might be interested in

Siobhan makes jewelry to sell online and wants to

Makovka662 [10]

Answer:

Step-by-step explanation:

6 0

3 years ago

A TV screen is 41 cm long and 31 cm high. The length of the diagonal is closest to: A) 49 cm Eliminate B) 51 cm C) 54 cm D) 48 c

GuDViN [60]

Answer:

The length of the diagonal is closest to 51 cm.

Step-by-step explanation:

Given:

TV screen is 41 cm long and 31 cm high.

Now, to find the length of the diagonal.

By using pythagorean theorem:

leg 1 = 41 cm, leg 2 = 31 cm.

Let the hypotenuse be $x$ .

(leg 1)² + (leg 2)² = hypotenuse²

$41^{2} +31^{2}=x^{2}$

⇒ $1681+961=x^{2}$

⇒ $2642=x^{2}$

<em>Using square root on both sides we get:</em>

⇒ $51.40=x$

<u><em>So, the length of the diagonal = 51.40 cm. </em></u>

<u><em>By rounding off of 51.40cm it becomes 51 cm.</em></u>

Therefore, the length of the diagonal is closest to 51 cm.

7 0

3 years ago

A tank is full of oil weighing 30 lb/ft3. The tank is an inverted right rectangular pyramid (with the base at the top) with a wi

Gwar [14]

Answer:

Step-by-step explanation:

density of oil, d = 30 lb/ft³

Volume of tank, V = l x w x h = 1 x 2 x 1 = 2 ft³

mass of oil, m = Volume x density of oil = 1 x 30 = 30 lb

Work = m x g x h = 30 x 32 x 3 = 2880 units

5 0

4 years ago

mrs.westhoven is have guests over for dinner. she places a 4.5-foot-long table and a 127-centimeter-long table.What is the combi

BlackZzzverrR [31]

4.5 feet = 54 in. 127 cm. = 50 in. 50 in.+54 in.=104 in.

4 0

4 years ago

9/14 / 5/12 simplify this fraction

nignag [31]

I'm assuming those are two fractions being divided. I just write it out. It looks scary but it's really not. Just do this:
~=this is my dividing sign when not in fraction form cause I don't have an actual sign here.

9/14 ~ 5/12

Then you KCF(Keep, Change, Flip). Keep the first number the same. Change the dividing sign to multiplication. Then flip the last fraction so that it is now 12/5.
The problem now stands as:

9/14 • 12/5

Simplify and the you have your final answer. I recommend looking up the keep change flip video by flocabulary in case you haven't checked it out yet. It really helped me learn this method. Hope this helped!!

-Liananna

8 0

4 years ago