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3 years ago

in the pair of triangle, write the similarity statement and identify the postulate of theorem that justifies the similarity.

Mathematics

1 answer:

Varvara68 [4.7K]3 years ago

6 0

Answer:

ΔEFG ~ ΔRPQ - Angle Angle Angle Theorem

ΔEFG ~ ΔRFQ - Side Side Side Proportional Theorem

Step-by-step explanation:

First set : using triangle sum theory to find missing angle. Letters should match congruent angles when creating statement.

Second set :

$\frac{EG}{RQ}$ = $\frac{10}{12}$ = $\frac{5}{6}$

$\frac{EF}{RF}$ = $\frac{15}{18}$ = $\frac{5}{6}$

$\frac{FG}{FQ}$ = $\frac{20}{24}$ = $\frac{5}{6}$

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Perfect Pies charges $6 for an apple pie.

Aloiza [94]

Answer:

6 * p ≤ 30

p ≤ 5

The maximum number of pies she can buy is 5

Step-by-step explanation:

Let p equal the number of pies she will buy

Each pie costs 6 dollars. She will spend 6 * p

The cost must be less than or equal to 30 dollars

6 * p ≤ 30

To solve divide each side by 6

6 * p/6 ≤ 30/6

p ≤ 5

8 0

3 years ago

Read 2 more answers

General solutions of sin(x-90)+cos(x+270)=-1<br> {both 90 and 270 are in degrees}

mixer [17]

Answer:

$\left[\begin{array}{l}x=2\pi k,\ \ k\in Z\\ \\x=-\dfrac{\pi }{2}+2\pi k,\ k\in Z\end{array}\right.$

Step-by-step explanation:

Given:

$\sin (x-90^{\circ})+\cos(x+270^{\circ})=-1$

First, note that

$\sin (x-90^{\circ})=-\cos x\\ \\\cos(x+270^{\circ})=\sin x$

So, the equation is

$-\cos x+\sin x= -1$

Multiply this equation by $\frac{\sqrt{2}}{2}:$

$-\dfrac{\sqrt{2}}{2}\cos x+\dfrac{\sqrt{2}}{2}\sin x= -\dfrac{\sqrt{2}}{2}\\ \\\dfrac{\sqrt{2}}{2}\cos x-\dfrac{\sqrt{2}}{2}\sin x=\dfrac{\sqrt{2}}{2}\\ \\\cos 45^{\circ}\cos x-\sin 45^{\circ}\sin x=\dfrac{\sqrt{2}}{2}\\ \\\cos (x+45^{\circ})=\dfrac{\sqrt{2}}{2}$

The general solution is

$x+45^{\circ}=\pm \arccos \left(\dfrac{\sqrt{2}}{2}\right)+2\pi k,\ \ k\in Z\\ \\x+\dfrac{\pi }{4}=\pm \dfrac{\pi }{4}+2\pi k,\ \ k\in Z\\ \\x=-\dfrac{\pi }{4}\pm \dfrac{\pi }{4}+2\pi k,\ \ k\in Z\\ \\\left[\begin{array}{l}x=2\pi k,\ \ k\in Z\\ \\x=-\dfrac{\pi }{2}+2\pi k,\ k\in Z\end{array}\right.$

4 0

3 years ago

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s344n2d4d5 [400]

Step-by-step explanation:

All inputs either point to 1 or 6 so the range is 1,6

3 0

3 years ago

How do u find the domain and range of this graph

Elena L [17]

Domain is possible x values
Range is possible y values
They'll be in interval form

Domain
You find the point furthest to to the left and the x-coordinate is your minimum. Then find maximum (furthest to the right)

Do the same for range except it is up and down

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3 years ago

The temperature is 2 degrees and drops to -15 degrees overnight. Write and then evaluate a subtraction expression to determine t

KiRa [710]

Answer:

-17 degrees

Step-by-step explanation:

Given that:

Initial temperature = 2 degrees

Final temperature = -15 degrees

To Determine:

The change in temperature.