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Oksi-84 [34.3K]
3 years ago
9

How do I find the value of x?

Mathematics
1 answer:
Rzqust [24]3 years ago
7 0
To find the value of x , bring the variable to the left side and bring all the remaining values to the right side. simplify the values to find the result.
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1. The cafeteria manager at a middle school wanted to keep track of how many student breakfast and lunches were sold on a Monday
lianna [129]

I know for a fact that 1, 2 and 4 are correct. I'm almost positive 3 and 5 are right too

1. B

2.D

3.D

4.B

5.D

6 0
3 years ago
The sides of a right triangle measure 6 times the square root of 3, 6 inches, and 12 inches. If an altitude is drawn from the ri
VARVARA [1.3K]

Length of segment of the hypotenuse adjacent to the shorter leg is 5 inches and the length of the altitude is 3 inches.

Step-by-step explanation:

Step 1: Let the triangle be ΔABC with right angle at B. The altitude drawn from B intersects the hypotenuse AC at D. So 2 new right angled triangles are formed, ΔADB and ΔCDB.

Step 2: According to a theorem in similarity of triangles, when an altitude is drawn from any angle to the hypotenuse of a right triangle, the 2 newly formed triangles are similar to each other as well as to the bigger right triangle. So ΔABC ~ ΔADB ~ ΔCDB.

Step 3: Identify the corresponding sides and form an equation based on proportion. Let the length of the altitude be x. Considering ΔABC and ΔADB, AB/DB = AC/AB

⇒ 6/x = 12/6

⇒ 6/x = 2

⇒ x = 3 inches

Step 4: To find length of the hypotenuse adjacent to the shorter leg (side AB of 6 inches), consider ΔADB.

⇒ AD^{2} + BD^{2} = AB^{2}

⇒AD^{2} =AB^{2} - BD^{2}

⇒AD^{2} =6^{2} -3^{2}

⇒AD^{2} =36 - 9 = 25

⇒AD = \sqrt{25}

⇒AD = 5 inches

6 0
3 years ago
By how much does a a^3-2a exceed a^2 + a -6
olganol [36]

Answer:

a³ - a² - 3a+ 6

Step-by-step explanation:

we are asked by how much does (a³-2a) exceed (a²+a-6)

in other words, we are being asked to find the difference between the 2 terms above.

Mathematically we are asked to find:

(a³-2a) - (a²+a-6)    (expand parentheses by distribution property)

=(a³-2a - a²- a + 6)

= a³ - a² - 3a+ 6    (answer)

8 0
3 years ago
Write an equivalent expression for 1/3b+2/3b-5/6(b+1)
ycow [4]

Answer:

I'm quite sure that the answer is b - 5/6b + 1 5/6


Hope this helps! Please mark brainliest! Have a great day!

6 0
3 years ago
you deposited $2000 in an account. The account earns $120 simple interest in 18 months. What is the annual interest rate
Semenov [28]
Use the formula for simple interest:

i = p* r* t

Here, $120 = $2000*r* (18/12 years)

                   $120
Then  r = ------------------ = 0.04.  That's 4% per year.
                  $2000(1.5)
8 0
3 years ago
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