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3 years ago

Solve 16x + 9 = 9y – 2x for y. y =

Mathematics

2 answers:

maxonik [38]3 years ago

7 0

Y= 2x + 1 I tried lol

liberstina [14]3 years ago

4 0

Y= 2x + 1, hope this helps

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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

3 years ago

Use substitution to solve this problem a=5, b=2 5a - b = ‽

Rom4ik [11]

Plug the numbers into the equation

5(5) - 2 = ?

25 -2 = 23

23

3 0

3 years ago

there are 12 grams of protein 2 ounces of almonds write if the relationship is propotional if so write an equation for the relat

Elza [17]

There are 12 grams of protein 2 ounces of almond write if the relationship is proportional if so write an equation for the relationship.
12=2
6=1

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3 years ago

The diameter and height of this cylinder are equal to the side length, S, of the cube in which the cylinder is inscribed. What i

N76 [4]

Volume of Cylinder = $\pi r^{2}h$
Based on what we're told:
r (radius) = $\frac{s}{2}$
h (height) = $s$
So:
Volume of cylinder = $\pi (\frac{s}{2})^{2}(s)$
= $\frac{1}{2}s^{3} \pi$

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3 years ago

Which is the simplified form of the expression please help!!

Art [367]

Answer:

Step-by-step explanation:

p^-8q^-20 * p^8q^-10

=q^-30

=1/q^30

8 0

2 years ago