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3 years ago

Which is a correct two column proof. Given <4 and

Mathematics

1 answer:

vladimir1956 [14]3 years ago

4 0

The initial statement is: QS = SU (1)

QR = TU (2)

We have to probe that: RS = ST

Take the expression (1): QS = SU

We multiply both sides by R (QS)R = (SU)R

But (QS)R = S(QR) Then: S(QR) = (SU)R (3)

From the expression (2): QR = TU. Then, substituting it in to expression (3):

S(TU) = (SU)R (4)

But S(TU) = (ST)U and (SU)R = (RS)U

Then, the expression (4) can be re-written as:

(ST)U = (RS)U

Eliminating U from both sides you have: (ST) = (RS) The proof is done.

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On Naomi's cell phone plan, the amount she pays each month for international text messages is proportional to the number of inte

Lostsunrise [7]

A) The constant of proportionality in this proportional relationship is $k = \frac{y}{x}$

B) The equation to represent this proportional relationship is y = 0.2x

<h3><u>Solution:</u></h3>

Given that,

The amount Naomi pays each month for international text messages is proportional to the number of international texts she sends that month

Therefore,

This is a direct variation proportion

$\text{ amount Naomi pays each month } \propto \text{ number of international texts she sends that month}$

Let "y" be the amount that Naomi pays each month

Let "x" be the number of international texts she sends that month

Therefore,

$y \propto x$

y = kx -------- eqn 1

Where, "k" is the constant of proportionality

Thus the constant of proportionality in this proportional relationship is:

$k = \frac{y}{x}$

<em><u>Last month, she paid $3.20 for 16 international texts</u></em>

Therefore,

y = 3.20

x = 16

Thus from eqn 1,

$3.20 = k \times 16\\\\k = \frac{3.20}{16}\\\\k = 0.2$

Substitute k = 0.2 in eqn 1

y = 0.2x

The equation would then be y = 0.2x

8 0

3 years ago

Naomi made a triangular pyramid from cardboard. The triangular base has a height of 4 inches and a base length of 15 inches. The

Thepotemich [5.8K]

Answer:

She can double the base length of the base so that the new volume is 120 cubic inches

Step-by-step explanation:

3 0

3 years ago

When planning for a party, one caterer recommends the amount of meat be at least 2 pounds less than 1/3 the total number of gues

ehidna [41]

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x-----> the total number of guests

y -----> the amount of meat

we know that

The inequality that represent this situation is equal to

$y\geq \frac{1}{3}x-2$

Note The inequality is "greater than or equal" because the given statement say "at least"

The solution of this inequality is the shaded area above the solid line $y=\frac{1}{3}x-2$

The slope of the solid line is positive

The y-intercept of the solid line is -2

The x-intercept of the solid line is 6

therefore

The graph in the attached figure

Remember that

The values of x an y cannot be a negative number

5 0

3 years ago

Read 2 more answers

Easy math have fun!!!

yulyashka [42]

Answer:

A = 12

Step-by-step explanation:

First you need to get the length from the perimeter, the formula is l= p/2 - w

After using the formula, you would get 6 for length. The formula for the area of a rectangle is a = lw, so you would multiply 6 and 2 which would give you 12 as your answer.

I apologize if I made any grammar mistakes or if it is unclear.

7 0

3 years ago

A large pizza has 12 slices, a medium has 10 slices, and a small has 8 slices. Write an expression to show total number of slice

shtirl [24]

Answer:

[12(2) + 10(3)] + 8 = 62

Step-by-step explanation:

I hope this works. :)

7 0

3 years ago