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3 years ago

Answer gets BRAINLIEST If q varies inversely as r, and g = 10 when r = 2.5, find the equation that connects a

Mathematics

1 answer:

vladimir1956 [14]3 years ago

4 0

Answer:

Step-by-step explanation:

In direct variations, we would have:

$q=kr$

Where k is some constant.

Since this is indirect variation, instead of that, we would have:

$q=\frac{k}{r}$

To determine the equation, find k by putting in the values for q and r:

$10=\frac{k}{2.5}\\k=2.5(10)=25$

Now plug this back into the variation:

$q=\frac{25}{r}$

The answer is D.

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Using Triangle Congruence Theorems

kodGreya [7K]

There are a total of five theorems congruent triangles. They are summarized as:

SAS
SSS
AAS
RHS and
ASA.

<h3>What are the definitions of the Theorems of Congruent Triangles?</h3>

SAS - Side Angle Side

According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.

SSS - Side Side Side Rule

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are proportional to the size three sides of the second triangle.

AAS - Angle Angle Side Rule
Angle-Angle-Side is abbreviated as AAS. The triangles are said to be congruent when two angles and a non-included side of one triangle match the comparable angles and sides of another triangle.

ASA - Angle Side Angle rule

According to the ASA rule, two triangles are said to be congruent if any two angles and the side contained between the angles of one triangle are proportional to the size two angles and side included in between angles of the second triangle.

RHS - Right Angle- Hypotenuse side Rule

According to the RHS rule, two right triangles are said to be equivalent if their hypotenuses and one of their sides are identical to those of another right-angled triangle.

Learn more about theorems of congruent triangles at:
brainly.com/question/2102943
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4 0

2 years ago

What is it called when writing a number by adding the value of each digit

Neko [114]

Answer:

Expanded form

Step-by-step explanation:

Expanded form or expanded notation is a system of writing numbers to see the value of each individual digits. The number are written in the form of tens, hundreds and ones etc. The expanded form of 44 will be 40 +4 where 4 is at ones place and 40 is at tens place.

5 0

2 years ago

bridget recieved 1400 from her grandfather as a birthday gift she decided to put the money in an account to save for college the

Simora [160]

Answer:

The amount received after 5 years is 1827.39

Step-by-step explanation:

The amount received by Bridget from his grandfather as the birthday gift = 1400 .

Since he wants to deposit it and save for college, he earns interest rate = 5.4%

He deposited this money for the years = 5 years.

Here, the Present value (PV) is = 1400

Interest rate ( r ) = 5.4% or 0.054