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Radda [10]
3 years ago
11

Jocelyn Angelica bought a dress marked "Sale Price is 18% Off." The cashier told her she saved $23. How much was the price of th

e dress, before markdown?
Mathematics
1 answer:
77julia77 [94]3 years ago
5 0
Represent the dress price using d.
                                                                                                             $23
Savings were 0.18d = $23.  Dividing both sides by 0.18, we get d = -------
                                                                                                             0.18

= $127.78.

Check:  What is 18% of $127.78?  0.18($127.78) = $23.

Thus, the original price was $127.78, the savings $23, and the price paid $104.78.
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Determine the measure of angle A, B, and C in triangle ABC. If m∠A=(x-10)°,m∠B=(2x-50)°,and m∠C=x°
Effectus [21]

Answer:

m∠A = 50°

m∠B = 70°

m∠C = 60°

Step-by-step explanation:

Determine the measure of angle A, B, and C in triangle ABC. If m∠A=(x-10)°,m∠B=(2x-50)°,and m∠C=x°

In a Triangle, the sum of the interior angles of a triangle = 180°

Step 1

We solve for x

Hence:

m∠A + m∠B + m∠C= 180°

(x-10)°+ (2x-50)°+ x° = 180°

x - 10 + 2x - 50 + x = 180°

4x - 60 = 180°

4x = 180° + 60°

4x = 240°

x = 240°/4

x = 60°

Step 2

Solving for each measure

x = 60°

m∠A=(x-10)°

= 60° - 10°

= 50°

m∠B=(2x-50)°

= 2(60)° - 50°

= 120° - 50°

= 70°

m∠C=x°

= 60°

7 0
3 years ago
In APQR, the measure of ZR=90°, RQ = 55, PR = 48, and QP = 73. What ratio represents the sine of ZQ?
Irina18 [472]

To find the angle Q we can us the sin law so:

\frac{\sin (Q)}{48}=\frac{\sin (90)}{73}

So we can solve for Q so:

\begin{gathered} \sin (Q)=\frac{48}{73} \\ \measuredangle Q=\sin ^{-1}(0.6) \\ \measuredangle Q=36.87 \end{gathered}

5 0
1 year ago
Which expression is equivalent to (4x+11)+7x?
Anna007 [38]
HEY THERE FAM.

THE CORRECT ANSWER IS....<span> D.(4x-7x)+11</span>
4 0
3 years ago
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6 0
3 years ago
The equation v(x)=32500(0.92)^x how much more is the truck worth after two years than after three years
Lyrx [107]

Answer:

the difference:  $2,192.64

Step-by-step explanation:

After 1 year, the truck has lost 8% of its value:  v(x) = $32,500(0.92)^1, or

$29,900.

After 2 years, v(x) = $32,500(0.92)^2, or $27,500.  Finally, after 3 years,

v(x) = $32,500(0.92)^3 = $25,307.36.

Subtracting $25,307.36 (the value after 3 years) from $27,500 (the value after 2 years) yields the difference:  $2,192.64

6 0
3 years ago
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