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2 years ago

A $400 tv is on sale for 25% off what is the sale price of the tv

Mathematics

1 answer:

N76 [4]2 years ago

5 0

300.

You can multiply by .75 to get the 25% off.

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ABCD- parallelogram, If the perimeter of Triangle CPQ is 15cm, Find the perimeter of triangle BAQ. Find the perimeter of triangl

melamori03 [73]

Answer:

The answer is below

Step-by-step explanation:

A parallelogram is a quadrilateral (has 4 sides and 4 angle) with two pair of parallel and opposite sides. Opposite sides of a parallelogram are parallel and equal.

Given parallelogram ABCD:

AB = CD = 18 cm; BC = AD = 8 cm

∠P = ∠P, ∠PDA = ∠PCQ (corresponding angles are equal).

Hence ΔPCQ and ΔPDA are similar by angle-angle similarity theorem. For similar triangles, the ratio of their corresponding sides equal. Therefore:

$\frac{CD}{PC}= \frac{AD}{CQ}\\\\\frac{18}{6}=\frac{8}{x} \\\\x=\frac{6*8}{18}=\frac{8}{3}\ cm$

Perimeter of CPQ = CP + CQ + PQ

15 = 6 + 8/3 + PQ

PQ = 15 - (6 + 8/3)

PQ = 6.33

∠CQP = ∠AQB (vertical angles), ∠QCP = ∠QBA (alternate angles are equal).

Hence ΔCPQ and ΔABQ are similar by angle-angle similarity theorem

$\frac{AQ}{QP}=\frac{AB}{CP} \\\\\frac{AQ}{6.33} =\frac{18}{6} \\\\AQ=\frac{18}{6}*6.33\\\\AQ = 19$

$\frac{BQ}{CQ}=\frac{AB}{CP} \\\\\frac{BQ}{8/3} =\frac{18}{6} \\\\BQ=\frac{18}{6}*\frac{8}{3} \\\\BQ =8$

Perimeter of BAQ = AB + BQ + AQ = 18 + 8 + 19 = 45cm

PA = AQ + PQ = 19 + 6.33 = 25.33

PD = CD + DP = 18 + 6 = 24

Perimeter of PDA = PA + PD + AD = 24 + 25.33 + 8 = 57.33 cm

7 0

2 years ago

1 point) Let H be the set of all points in the second and fourth quadrants in the plane V That is, H- (e, y)y 0) Is H a subspace

Aneli [31]

Answer:

Step-by-step explanation:

What level of math is this?

6 0

3 years ago

1) ? x (-9) = -36

diamong [38]

Answer:

1. 4

2. 4

3.7

4.-2

5.-8

6. -5

7.5

8.24

3 0

3 years ago

Read 2 more answers

Calculate how much each size per gram, and circle which gives the best value for money. 250g for $2.30, 400g for &3.40, 1Kg

Bezzdna [24]

To do this, we must set up ratios:
Option One:
$\frac{2.30}{250g} \\ \frac{0.0092}{1g} \\ 0.0092/g$
The first options costs only $0.0092/gram (a fraction of a penny)!
Option Two:
$\frac{3.40}{400g} \\ \frac{0.0085}{1g} \\ 0.0085/g$
The second option costs only $0.0085/gram (cheaper than option one)!
Option Three:
This requires a little more work. First, we have to convert the grams into kilograms. For every 1 kg, there is 1,000 g. Therefore, 1,000g costs $5.65. Next, we set up the ratio as usual:
$\frac{5.65}{1000g} \\ \frac{0.00565}{1g} \\ 0.00565/g$
The third option costs $0.00565/gram.

Therefore, option three is the cheapest!

Hope this helps!

4 0

3 years ago

Which value of m makes the statement true? 92-2m ≤7+3m A) 12 B) 17 C) 7 D) 9

Mama L [17]

The answer is 17 or B

5 0

2 years ago

Read 2 more answers