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3 years ago

In the figure shown PS = RQ. which theorem can be used to prove Triangle SQR = Triangle QSP?

Mathematics

1 answer:

Nuetrik [128]3 years ago

3 0

Answer:

HL (hypotenuse leg)

Step-by-step explanation:

From the diagram, we have two sides that are congruent

The side QS is common to both triangles

Also, we have it that the side PS and QR are congruent

What this mean is that we have two sides that are already the same

Now, looking at the right angle position in both, we can see that QR and PS represents the hypotenuse of individual right angles

Using the HL congruence statement, since we have it that the hypotenuse one side is already congruent, we can conclude that the last side too is congruent and as such both triangles are congruent to each one another

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Judy Garland Electronics operate on a net-profile rate of 20% on its printer cables. If the markup is $8.95 and the overhead is

Ratling [72]

Answer:

The selling price is $79.53 .

Step-by-step explanation:

Formula

$Profit\ percentage = \frac{Profit\times 100}{Cost\ price}$

Let us assume that the cost price be x .

As given

Judy Garland Electronics operate on a net-profile rate of 20% on its printer cables.

If the markup is $8.95 and the overhead is $4.31 .

Selling price = Cost price + Markup price + Overhead price

Putting all the values in the above

= x + 8.95 + 4.31

= x + 13.26

Profit = Selling price - Cost price

= x + 13.26 - x

= 13.26

Putting all the values in the above

$20 = \frac{13.26\times 100}{x}$

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3 years ago

What is the rate of 13 inches of snow in 8 hours?

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Step-by-step explanation:

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2 years ago

The height of a right circular cylinder is 1.5 times the radius of the base. What is the ratio of the total surface area to the

Naily [24]

Let r represent the radius of cylinder.

We have been given that the height of a right circular cylinder is 1.5 times the radius of the base. So the height of the cylinder would be $1.5r$ .

We will use lateral surface area of pyramid to solve our given problem.

$LSA=2\pi r h$ , where,

LSA = Lateral surface area of pyramid,

r = Radius,

h = height.

Upon substituting our given values in above formula, we will get:

$LSA=2\pi r\cdot (1.5)r$

Now we will find the total surface area of cylinder.

$TSA=2\pi r(r+h)$

$TSA=2\pi r(r+1.5r)$

$TSA=2\pi r(2.5r)$

$\frac{TSA}{LSA}=\frac{2\pi r(2.5r)}{2\pi r(1.5r)}$

$\frac{TSA}{LSA}=\frac{2.5r}{1.5r}$

$\frac{TSA}{LSA}=\frac{25}{15}$

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3 years ago