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1 year ago

Which theorem or postulate can be used to prove ΔRPQ ≅ ΔRST? Given R is the midpoint of QT and QT bisects PS at R.

Mathematics

2 answers:

liq [111]1 year ago

4 0

Answer:

SSS

If this answer is correct, please mark brainliest.

nikklg [1K]1 year ago

3 0

Answer:

Step-by-step explanation:

The graph of this problem is attached. There you can observe that we demonstrate the congruence using SAS postulate, which is Side-Angle-Side.

This is the postulate we should use because the mid point divides in equal parts by definition, that means, sides RP and RS are congruent, and sides QR and TR are congruent. In addition, angles QRP and TRS are congruent, because they are vertical angle.

So, we have Side-Angle-Side as congruent parts. Therefore, the postulate we have to use is SAS, option C.

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20 points<br> What is the linear function equation represented by the graph?

tigry1 [53]

Answer:

F(x) = 2/3x + 3

Step-by-step explanation:

I found this out by first starting off with the equation, f(x) = mx + b. (b is the y intercept, m is the slope.) The y intercept, where the line passes through the y axis, is 3. (f(x) = mx + 3) Now, look at rise over run, and see that the slope is 2/3, since for every one it goes over, it goes up 2/3. your final equation is f(x) = 2/3x + 3

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2 years ago

If a piece of rope cost 20 cents per 2 feet, how many feet can you buy for 30 dollars?

katrin2010 [14]

Answer: $300\ feet$

Step-by-step explanation:

Let be "x" the lenght in feet of rope that you can buy with 30 dollars.

According to the information provided in the exercise, you can buy a piece of rope of 2 feet with 20 cents.

Remember that $20\ cents=0.2\ dollars$

Knowing this, you can write the following proportion:

$\frac{0.2}{2}=\frac{30}{x}$

FInally, solving for "x", you get this result:

$\frac{0.2}{2}=\frac{30}{x}\\\\x(\frac{0.2}{2})=30\\\\x=(30)(\frac{2}{0.20})\\\\x=300$

6 0

2 years ago

The measure of an angle is 62.9 What is the measure of a complementary angle?

Llana [10]

By definition, complementary angles are "two angles whose sum is equal to 90 degrees." This can be expressed using the following formula:

(Angle 1) + (Angle 2) = 90

Substitute any known values into the equation:

62.9 + (A2) = 90

Subtract 62.9 from both sides if the equation:

A2 = 27.1

The measure of the complementary angle (A2) is 27.1 degrees.

I hope this helps!

6 0

2 years ago

Shelby mixes a 25% bleach solution with 5 cups of a 10% bleach solution, resulting in a 20% bleach solution. The table shows the

Tcecarenko [31]

Answer:

The value of x is 10

Step-by-step explanation:

We can use a system of equations to solve this.

Cups of 25% bleach solution used = x

Cups of 1-% bleach solution used = 5

Cups of solution we get = y

The first equation becomes:

x + 5 = y

Using the decimal forms of each percentage solution

25% solution for x cups = 0.25x

10% solution for 5 cups = 0.1(5)

20% solution for y cups = 0.2 y

The second equation becomes:

0.25x + 0.1(5) = 0.2y

So the system of equations is:

x + 5 = y

0.25x + 0.1(5) = 0.2y

Solve both equations simultaneously to find the values of x and y:

x = 10 cups

y = 15 cups

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2 years ago

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BartSMP [9]

Answer: pretty sure you can buy 48 oranges

Step-by-step explanation:

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1 year ago

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