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IgorLugansk [536]
4 years ago
13

If a square has a side length of x + 4 and a perimeter of 44 cm, what is the value of x. *

Mathematics
1 answer:
BARSIC [14]4 years ago
6 0

Square are the same size all the way around, which means every side = x + 4

The perimeter of a square = 4 * side

the perimeter = 44 cm

Let's plug our values into the formula above.

44 cm = 4 * (x + 4)

Distribute the 4

44 cm = 4x + 16

Subtract 16 from both sides

28 cm = 4x

Divide both sides by 4

7 = x

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Vera took 10 tests over a time of 5 weeks. After 9 weeks this quarter, how many tests will Vera have taken?
seropon [69]

Answer:

18

Step-by-step explanation:

18

10 tests     =   x tests

/ 5 weeks =   / 9 weeks

10* 9= x5

90/5=  18

5 0
3 years ago
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The function y = f (x) is graphed below. What is the average rate of change of the function f(x) on the interval - 1 ≤ x ≤ 3?
jonny [76]

Answer:

\displaystyle -2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Average Rate of Change: \displaystyle \frac{f(b) - f(a)}{b - a}

Step-by-step explanation:

<u>Step 1: Define</u>

Interval -1 ≤ x ≤ 3

a = -1, b = 3

f(a) = f(-1) = 4

f(b) = f(3) = -4

<u>Step 2: Find Average</u>

  1. Substitute in variables [ARC]:                     \displaystyle \frac{f(3) - f(-1)}{3 + 1}
  2. Substitute:                                                   \displaystyle \frac{-4 - 4}{3 + 1}
  3. [Fraction] Subtract/Add:                             \displaystyle \frac{-8}{4}
  4. [Fraction] Divide:                                        \displaystyle -2
4 0
3 years ago
If x &gt; 1, then which of the following has the LEAST value?
jasenka [17]
What are the answers?
5 0
3 years ago
malik collects rare stamps and has a total of 212 stamps. he has 34 more domestic stamps than foreign stamps. let x represent th
valina [46]
<span>x = number of domestic stamps

y = number of foreign stamps

Malik collects rare stamps and has a total of 212 stamps.
 
=> x + y = 212

he has 34 more domestic stamps than foreign stamps.

=> x = y + 34


which equation represents the total number of stamps malik collected?

x + y = 212

which equation represents the difference in the number of foreign and domestic stamps malik collected?

x - y = 34

which system of linear equations represents the situation?

x + y = 212
x - y = 34
</span>
8 0
3 years ago
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Given: m∠EYL=72°<br> Find: mEHL , mLVE
White raven [17]

Answer:

Part 1) The measure of arc EHL is 108\°

Part 2) The measure of angle LVE is 54\°

Step-by-step explanation:

step 1

Let

x-----> the measure of arc EHL

y----> the measure of arc EVL

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

so

m

we have

m

substitute

72\°=\frac{1}{2}(y-x)

144\°=(y-x)

y=144\°+x ------> equation A

Remember that

x+y=360\° -----> equation B ( complete circle)

substitute equation A in equation B and solve for x

x+(144\°+x)=360\°

2x=360\°-144\°

x=216\°/2=108\°

Find the value of y

y=144\°+x

y=144\°+108\°=252\°

therefore

The measure of arc EHL is 108\°

The measure of arc EVL is 252\°

step 2

Find the measure of angle LVE

we know that

The inscribed angle measures half that of the arc comprising

Let

x-----> the measure of arc EHL

m

we have

x=108\°

substitute

m

3 0
3 years ago
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