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masya89 [10]
2 years ago
10

A dress is selling for $100 after a 20 percent discount. What was the original selling price?

Mathematics
1 answer:
qaws [65]2 years ago
5 0
100 = .8x
X = 125
$125
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The sum of the interior angles of a triangle measures 180°. T or F?
deff fn [24]
This is true. The sum of interior angles always add up to 180<span>°.

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7 0
2 years ago
How to simplify 4(2a)+7(-4b)+(3×c×5)
maw [93]
→ Solutions

⇒ Simplify <span><span><span>4<span>(<span>2a</span>)</span></span>+<span>7<span>(<span>−<span>4b</span></span>)</span></span></span>+<span><span>3c</span><span>(5)</span></span></span><span>⇒ </span><span><span><span><span><span>8a</span>+</span>−<span>28b</span></span>+<span>15<span>c

Answer
 </span></span></span></span><span>⇒ </span><span>8a−28b</span><span>+</span><span>15c</span>
5 0
2 years ago
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Given: AC and AE are common external tangents of G and D. BC= 123 GB=20 and AG=101. What is the measure of AC?​
Solnce55 [7]

Answer:

The length of AC is 222 units.

Step-by-step explanation:

Given AC and AE are common external tangents of G and D.

BC= 123 ,  GB=20 and AG=101.

We have to find the measure of AC.

As, a straight line joined from the center i.e radius is perpendicular to tangent drawn. Therefore,

In ΔABG, by Pythagoras theorem

AG^2=AB^2+BG^2

⇒ 101^2=AB^2+20^2

⇒ AB^2=10201-400=9801

⇒ AB=99 units.

Hence, AC=AB+BC=99+123=222 units.

The length of AC is 222 units.

8 0
2 years ago
Solve the equation using either addition or substitution. Show all your work
UkoKoshka [18]

Answer:

(x1, y1) = (1, 3)

(x2, y2) = (4, 12)

Step-by-step explanation:

y= x^2 - 4

y= 5x - 8

(substitute the value for y)

x^2 - 4 = 5x - 8

(solve the equation)

x = 1

x = 4

(substitute the values)

y = 5 × 1 - 8

y = 5 × 4 - 8

(solve the equations)

y = -3

y = 12

( the possible solutions are)

x1, y1 = 1, -3

x2, y2 = 4, 12

(check the solutions)

-3 = 1^2 - 4

-3 = 5 × 1 - 8

12 = 4^2 - 4

12 = 5 × 4 - 8

(simplify)

-3 = -3

-3 = -3

12 = 12

12 = 12

(the ordered pairs are the solutions)

6 0
2 years ago
Which of the following pairs represent a function ​
denis23 [38]

Option D: \{(-9,8),(-5,-8),(-7,8),(-6,-8)\} are the ordered pairs represents a function.

Explanation:

Given that the options of the set of ordered pairs.

We need to determine the ordered pairs that represents a function.

Option A: \{(-12,8),(-15,8),(-5,-8),(-12,-8)\}

A relation is said to be a function if each element of x is related to exactly one element in y.

From this set of ordered pairs, it is obvious that the element -12 of x is related to two different element in y.

Thus, the ordered pairs \{(-12,8),(-15,8),(-5,-8),(-12,-8)\} is not a function.

Hence, Option A is not the correct answer.

Option B: \{(8,-9),(-8,-5),(8,-7),(-8,-6)\}

From this set of ordered pairs, it is obvious that the elements -8 and 8 of x are related to two different element in y.

Thus, the ordered pairs \{(8,-9),(-8,-5),(8,-7),(-8,-6)\} is not a function.

Hence, Option B is not the correct answer.

Option C: \{(13,-3),(13,0),(13,-1),(13,-1)\}

From this set of ordered pairs, it is obvious that the element 13 of x is related to three different element in y.

Thus, the ordered pairs \{(13,-3),(13,0),(13,-1),(13,-1)\} is not a function.

Hence, Option C is not the correct answer.

Option D: \{(-9,8),(-5,-8),(-7,8),(-6,-8)\}

A relation is said to be a function if each element of x is related to exactly one element in y.

From this set of ordered pairs, it is obvious that the each element of x is related exactly one element in y.

Thus, the ordered pairs \{(-9,8),(-5,-8),(-7,8),(-6,-8)\} is a function.

Hence, Option D is the correct answer.

7 0
3 years ago
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