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3 years ago

E is the midpoint of DF, DE = 2x + 4, and EF = 3x + 1. Find DE, EF, and DF.

1 answer:

8 0

When there is a midpoint in a line segment, the two segments that are then produced have to be equal. So that means that because E is a midpoint of DF, DE=EF.
Set up the equation.
DE=EF
2x+4=3x+1
Then solve for x.
x=3
Then plug it back in the equation to find DE and EF.
DE=2x+4=2(3)+4=10
Because DE=EF then EF is also 10.
DF is made from the addition of DE and EF so DF is twice EF.
DF= 20

DE= 10, EF= 10, DF= 20

Hope this helps.

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If we want rice per person, that's

$\dfrac{25}{3}$

1a. Answer: 25/3

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1b. Answer: 8 and 9

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Find sin 0. 16 20 12

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Answer:

A 16/20

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Sin: 16/20

Cos: 12/16

Tan: 16/12

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3 years ago

A set of scores ranges from a high of x = 96 to a low of x = 11. if these scores were placed in a grouped frequency distribution

bazaltina [42]

There is no hard and fast rule to select the class width. It largely depends on our application.However, one thing that should be kept in mind is that the number of classes should neither to be too low nor too high. So keeping this thing in mind, the class width is select.

The range of the data is = Maximum- Minimum = 96 - 11 = 85
10 classes will be most suited for this data.

The class width for each data can be calculated as:

Class Width = Range / Number of Classes = 85/10 = 8.5
Class width is always rounded to nearest next integer. So the class width will be 9 in this case.

So, the best value of class width or interval width for the given data will be 9.

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3 years ago

What is the percent increase in between 16 and 20

MrMuchimi

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3 years ago

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Find the missing side length of the triangle 10m 7.5m

xxTIMURxx [149]

Answer:

c = 12.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a leg
b is another leg
c is the hypotenuse

Step-by-step explanation:

Step 1: Identify

Leg a = 7.5

Leg b = 10

Hypotenuse c = c

Step 2: Solve for c

Substitute in variables [Pythagorean Theorem]: 7.5² + 10² = c²
Rewrite: c² = 7.5² + 10²
Evaluate exponents: c² = 56.25 + 100
Add: c² = 156.25
[Equality Property] Square root both sides: c = 12.5

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3 years ago