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julia-pushkina [17]
3 years ago
9

To solve a problem, we often _________ the given information into algebraic expressions and equations.

Mathematics
1 answer:
bulgar [2K]3 years ago
4 0
\frac{-b\pm\sqrt{b^2-4ac}}{4a}
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The area of a square bedroom is 144 square feet. what is the length of one wall?
Rufina [12.5K]
The answer is:  "12 feet" .
________________________________
Note:  In a square, the length of EACH of the four sides of the square is the same.

Area = Length * width. 

For a square, length = width.

So for a square, Area = length * width = (length of a side)² = s² ,

Given:  A = s² = 144 ft² ;

Solve for the positive value of "s" .
________________________________
  →  s² = 144 ft² ;  Take the "square root" of each side ;

  → √(s²) = √(144 ft²) ;

  →   s = 12 ft.
_______________________________
The answer is:  12 ft.
_______________________________
6 0
3 years ago
How do I find each measure? Please I need answers ASAP it's due at 1:50
Norma-Jean [14]

Answer:

Angle CAD is 44 degrees

Angle ACD is 44 degrees

Angle ACB is 136 degrees

Angle ABC is 22 degrees

Explanation:

29. Triangle ADC is an isosceles triangle because it has two equal sides.

If segments AD and DC are congruent, then segment AC is the base and the base angles of an isosceles triangle are equal.

Let x be angle CAD.

Let's go ahead x;

\begin{gathered} 92+x+x=180\text{ (sum of angles in a triangle)} \\ 92+2x=180 \\ 2x=180-92 \\ 2x=88 \\ x=\frac{88}{2} \\ \therefore x=44^{\circ} \end{gathered}

Therefore, measure of angle CAD is 44 degrees.

30. Measure of angle ACD is 44 degrees (Base angles of an isosceles triangle are equal)

31. Let angle ACB be y,

Let's go ahead and find measure of angle ACB;

\begin{gathered} 44+y=180\text{     (angles on a straight line)} \\ y=180-44 \\ \therefore y=136^{\circ} \end{gathered}

So measure of angle ACB is 136 degrees.

32. Let angle ABC be z.

Triangle ACB is also an isosceles triangle so the base angles are the same.

Let's go ahead and find z;

\begin{gathered} 136+z+z=180_{}\text{    (sum of angles in a triangle)} \\ 138+2z=180 \\ 2z=180-136 \\ 2z=44 \\ z=\frac{44}{2} \\ \therefore z=22^{\circ} \end{gathered}

So measure of angle ABC is 22 degrees.

3 0
1 year ago
Evan, Claire, Jaya and Tim are running a 3 km relay race. Evan ran 7/8 of a km,
Vanyuwa [196]

Answer:

11/24

Step-by-step explanation:

7/8 + 11/12 + 3/4 + x = 3 km

7*3/8*3 = 21 / 24

11*2 / 12 * 2 = 22 /24

3*6 / 4*6 = 18/24

21/24 + 22/24 + 18/24 + x = 3

61 / 24 +  x = 3

x = 72/24 - 61/24

x = 11 / 24

Tim has to run 11/24 of the race

7 0
3 years ago
Find the value of x in the triangle shown below.
ycow [4]

Answer:

30 Degrees for sure

6 0
3 years ago
Can some one help me match these ?
Anastaziya [24]
This is the order....

8 0
3 years ago
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