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3 years ago

On a scale . 1 inch represent 600 miles . how many miles would 3/4 inch represent?

Mathematics

1 answer:

MrRa [10]3 years ago

8 0

It's a proportion.

$\frac{ \frac{3}{4} }{1} = \frac{x}{600}$

x (1) = 600 (3/4)

x = 450 mi

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4 years ago

Read 2 more answers

The congruence theorem that can be used to prove ALON

Arisa [49]

Answer:

SSS is the congruence theorem that can be used to prove Δ LON is congruent to Δ LMN ⇒ 1st answer

Step-by-step explanation:

Let us revise the cases of congruence

SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ
SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and including angle in the 2nd Δ
ASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅ 2 angles and the side whose joining them in the 2nd Δ
AAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles and one side in the 2nd Δ
HL ⇒ hypotenuse leg of the 1st right Δ ≅ hypotenuse leg of the 2nd right Δ

In triangles LON and LMN

∵ LO ≅ LM ⇒ given

∵ NO ≅ NM ⇒ given

∵ LN is a common side in the two triangles

- That means the 3 sides of Δ LON are congruent to the 3 sides

of Δ LMN

∴ Δ LON ≅ LMN ⇒ by using SSS theorem of congruence

SSS is the congruence theorem that can be used to prove Δ LON is congruent to Δ LMN

3 0

4 years ago

Joel wants to fence off a triangular portion of his yard for his chickens. The three pieces of fencing he haas to use are 8 feet

Sedaia [141]

No, it will not be able to make a right triangle.

Solution:

Given that,

Joel wants to fence off a triangular portion of his yard for his chickens.

The length of three peices of fencing are 8 feet , 15 feet and 20 feet

For making it a right triangle it must satisfy the "Pythagorus theorem"

Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

For a right angled triangle with sides a, b, c

$c^2 = a^2+b^2$

Given sides are:

a = 8 feet

b = 15 feet

c = 20 feet

Substituting the values in above formula

$20^2 = 8 ^2+15^2\\\\400 = 64 + 225\\\\400\neq 289$

Since the pythogoras formula is not satisfied, the given sides cannot form a right angled triangle

Thus , No, it will not be able to make a right triangle.

7 0

3 years ago