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2 years ago

Geoffrey wrote the following paragraph proof showing that rectangles are parallelograms with congruent diagonals.

Mathematics

2 answers:

blondinia [14]2 years ago

5 0

The answer is (SAS) Theorem. Because we know triangle ERT is congruent to triangle CTR, it has the sides ( C& E and R&T, and the angle T&R).

Hope its correct.

snow_tiger [21]2 years ago

3 0

Consider the triangles ERT and CTR.

|ER|=|CT| shown

(Therefore, one can say that segment ER is congruent to segment CT.)

m(R)=m(T)= 90°shown

(By the definition of a rectangle, all four angles measure 90°)

|RT|=|TR|

so we have Side Angle Side congruence.

By the (SAS) Theorem, the triangles are congruent.

Answer: C (SAS) Theorem

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Sergeu [11.5K]

Using linear function concepts, it is found that he can correctly determine the hourly rate as follows:

subtract the supply fee, 15 dollars from the total cost, then, divide the difference by the number of hours.

<h3>What is a linear function?</h3>

A linear function is modeled by:

$y = mx + b$

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, which can also be interpreted as the initial value of a function that is valid only for $x \geq 0$ , such as is the case in this problem.

The flat fee is of $15, hence b = 15, then:

$y = mx + 15$

Philip uses the service for 3.5 hours for his spring cleaning, and his total is $232, hence when x = 3.5, y = 232, so we use it to find the hourly rate m.

$y = mx + 15$

$232 = 3.5m + 15$

$m = \frac{232 - 15}{3.5}$

Hence, the correct option is:

subtract the supply fee, 15 dollars from the total cost, then, divide the difference by the number of hours.

You can learn more about linear function concepts at brainly.com/question/24808124

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1 year ago

Which career would most heavily involve geometric concepts?

LiRa [457]

Answer:

Out of these careers, an engineer would be the most geometric involved career.

Step-by-step explanation:

This answer is true through the process of elimination. A stockbroker focuses on economy in order to choose the right stock. A statistician focuses on graphing and statistics in terms of math. An accountant is focused on simple math in order to deduct and add to the sum of the money. The engineer has to use geometry in order to design plans for constructions.

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2 years ago

If you multiply a number by 3 and divide by 4 the result is 24. what is the number?

solong [7]

To solve this problem, we are going to set up an equation. Let the number that we are trying to find be represented by the variable x. If we plug in the numbers that we know, we get the following equation:

3x/4 = 24

To simplify this equation, we need to multiply both sides by 4, to begin getting the x alone on the left side of the equation.

3x = 96

Finally, we need to divide both sides by 3, to get rid of the coefficient that is being multiplied to x.

x = 32

Therefore, the number that you are trying to find is 32.

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2 years ago

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STALIN [3.7K]

The cost of one concert ticket is approximately $148.59.

The tickets sales for the local sales is totalled $101, 244 yesterday.

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1 year ago

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Answer:

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