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3 years ago

In the triangles, TR = GE and SR = FE. If Line segment G F = 3.2 ft, which is a possible measure of Line segment T S?

Mathematics

2 answers:

olga_2 [115]3 years ago

6 0

Answer:

A possible measure of Line segment TS is 4.0 ft

Step-by-step explanation:

The options of the question are

1.6 ft 3.0 ft 3.2 ft 4.0 ft

we know that

In any triangle:

The shortest side is always opposite the smallest interior angle.

The longest side is always opposite the largest interior angle

In this problem

$42^o < 56^o$

That means

$GF < TS$

Rewrite the expression

$TS > GF$

$TS > 3.2\ ft$

therefore

A possible measure of Line segment TS is 4.0 ft

bagirrra123 [75]3 years ago

3 0

Answer:

4.0 Feet. Answer D

Step-by-step explanation:

I took the test and got a hundred :)

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2 years ago

Find the distance between (-5,6)and (3,2).

skad [1K]

Answer:

$\displaystyle d = 4\sqrt{5}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: $\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Point (-5, 6) → x₁ = -5, y₁ = 6

Point (3, 2) → x₂ = 3, y₂ = 2

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formulas]: $\displaystyle d = \sqrt{(3+5)^2+(2-6)^2}$
[Distance] [√Radical] (Parenthesis) Add/Subtract: $\displaystyle d = \sqrt{(8)^2+(-4)^2}$
[Distance] [√Radical] Evaluate exponents: $\displaystyle d = \sqrt{64+16}$
[Distance] [√Radical] Add: $\displaystyle d = \sqrt{80}$
[Distance] [√Radical] Simplify: $\displaystyle d = 4\sqrt{5}$