Which statement is sufficient evidence that ∆DEF is congruent to ∆ABC?

Can somebody help with this!!!! please.

kvasek [131]

Answer:

2(x-3)(x-1)

Step-by-step explanation:

2(x+x+3)

2(x-3)(x-1)

8 0

3 years ago

Read 2 more answers

The measure of an angle is 60° less than nineteen times the measure of its supplement. what is the measure of the angle?

DerKrebs [107]

Two angles are supplementary when they <span>add up to 180 degrees.

x = angle
19x-60 = </span><span>supplement angle

x + 19x - 60 = 180
20x = 180 + 60
20x = 240
x = 240/20
x = 12</span>° ← answer

3 0

3 years ago

Find the area of an equilateral triangle (regular 3-gon) with the given measurement. 9-inch perimeter A = sq. in.

Alona [7]

Answer:

$3.9 in^2$

Step-by-step explanation:

The area of a triangle is given by

$A=\frac{1}{2}bh$

where

b is the base

h is the height

Here we have an equilateral triangle, which has the 3 sides of the same length.

Let's call L the length of one side.

We know that the perimeter of the triangle is

p = 9 in

The perimeter is the sum of the three sides, so:

$p=L+L+L=3L$

Therefore, we find the length of the side:

$L=\frac{p}{3}=\frac{9}{3}=3 in$

Therefore the length is the base of the triangle,

$b=L$

The height can be calculated by considering half triangle: the hypothenuse is equal to L, while one side is equal to half the base (b/2), therefore the height is given by Pythagorean's theorem:

$h=\sqrt{L^2-(\frac{b}{2})^2}=\sqrt{3^2-(\frac{3}{2})^2}=2.6 in$

Therefore, the area of the triangle is:

$A=\frac{1}{2}(3)(2.6)=3.9 in^2$

5 0

3 years ago

What would you choose as x in the given series of clicks to calculate formulas automatically: file < options < x < auto

Leona [35]

We should choose Formulas as X in the given series of clicks to calculate formulas automatically.

File < Options < (A) Formulas < Automatic

<h3>What are Formulas?</h3>

In science, a formula is a concise way of symbolically expressing information, such as a mathematical formula or a chemical formula.
In science, the term formula refers to the general construct of a relationship between given quantities.
In mathematics, a formula is an identity that equates one mathematical expression to another, the most important of which are mathematical theorems.
A formula (also known as a well-formed formula) is a logical entity that is constructed using the symbols and formation rules of a given logical language.

We should choose Formulas as X in the given series of clicks to calculate formulas automatically.

Therefore, File < Options < (A) Formulas < Automatic

Know more about Formulas here:

brainly.com/question/21140562

#SPJ4

The complete question is given below:

What would you choose as X in the given series of clicks to calculate formulas automatically: File < Options < X < Automatic?

a. Formulas

b. Language

c. Proofing

d. Advanced

7 0

1 year ago

Adding and subtracting matrix <br> Plz help me

Sindrei [870]

Answer:

I think it either 19 or 17

Step-by-step explanation:

8 0

3 years ago