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3 years ago

Find 3 consecutive integets such that the sum of the first two integers is 24 more than the third.

Mathematics

1 answer:

Elina [12.6K]3 years ago

4 0

Answer:

breath

Step-by-step explanation:

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Find the values of x and y

zhuklara [117]

You can use a tangent:

$tangent=\dfrac{opposite}{adjacent}$

We have opposite = 17 and adjacent = x.

$\tan30^o=\dfrac{\sqrt3}{3}$

substitute:

$\dfrac{17}{x}=\dfrac{\sqrt3}{3}$ cross multiply

$x\sqrt3=(3)(17)$ multiply both sides by √3

$x(\sqrt3)(\sqrt3)=51\sqrt3$

$3x=51\sqrt3$ divide both sides by 3

$x=17\sqrt3$

Use the Pythagorean theorem:

$y^2=(17\sqrt3)^2+17^2\\\\y^2=289(\sqrt3)^2+289\\\\y^2=289\cdot3+289\\\\y^2=867+289\\\\y^2=1156\to y=\sqrt{1156}\\\\y=34$

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Other method.

$30^o-60^o-90^o$ triangle.

The sides are in the ratio $1:2:\sqrt3\to17:y:x$

Therefore

$17:(2\cdot17):(17\sqrt3)\to17:34:17\sqrt3\to x=34,\ y=17\sqrt3$

4 0

3 years ago

Can you help me please?

KIM [24]

Answer:

option c.

n=12

.................................

7 0

3 years ago

Write a trinomial of degree 35

Virty [35]

We know that
Trinomial of degree 35 means a polynomial
that
a) Having three terms
b) highest degree is 35

examples
x^35+x³+3
x^35+2x-8
x^35+x²+2
etc

8 0

3 years ago

Please Help! The following is an isosceles trapezoid, find m < J

ra1l [238]

Answer:

The measure of angle J is 44°

Step-by-step explanation:

Isosceles Trapezoid

The isosceles trapezoid has its non-parallel sides of the same length, thus the angles they form with their respective parallel sides are congruent.

It means: Angle J is congruent with angle K and angle M is congruent with angle L

The sum of angles in a trapezoid is 180*(4-2)=360°

Thus:

$m\angle J+m\angle K+m \angle M+m\angle L = 360^\circ$

$7x+2+7x+2+25x-14+25x-14=360$

Joining like terms:

$64x-24=360$

Adding 24:

$64x=384$

Dividing by 64:

x=6°

Thus:

$m\angle J = 7*6+2=44^\circ$

$m\angle M = 25*6-14=136^\circ$

The measure of angle J is 44°

3 0

3 years ago

The measure of arc RPQ is...

Oliga [24]

Answer:

171 degrees

Step-by-step explanation:

If angle POS is 39 degrees, then the measure of arc PS is 39 degrees

You can apply this to arc SQ and QR

So:

39+90+42= measure of arc RPQ

171 degrees= measure of arc RPQ

6 0

3 years ago

Find 3 consecutive integets such that the sum of the first two integers is 24 more than the third. ​

Find 3 consecutive integets such that the sum of the first two integers is 24 more than the third.