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3 years ago

Solve the following equation by combining like terms: x+x+2+3x-6= 31 X=

Mathematics

1 answer:

Vesnalui [34]3 years ago

4 0

Answer:

X= 7

Step-by-step explanation:

x+x+2+3x-6=31 Combine x's

2x+2+3x-6=31 Continue to combine x's

5x+2-6=31 Combine whole numbers

5x-4=31 Add 4 to both sides

5x=35 Divide by 5

x=7

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Match the reasons with the statements in the proof to prove that triangle AXC is congruent to triangle BXC, given that angles 3

castortr0y [4]

Answer:

The reasons are given below.

Step-by-step explanation:

In triangle ΔAXC and ΔBXC, we are given that angles 3 and 4 are right angles and AX = BX. we have to match the reasons in the given proof of congruency of triangles △AXC ≅ △BXC

In ΔAXC and ΔBXC,

AX=BX (Given)

∠3 = ∠4 = 90° (both right angles)

CX=CX (Common i.e reflexive property of equality)

Hence by SAS similarity theorem ΔAXC ≅ ΔBXC

hence, the above are the reasons of the statements in given proof.

5 0

3 years ago

Read 2 more answers

What is the surface area of a cube with a side length of 5 inches?

LenaWriter [7]

The surface area of the cube is 150 in^2

Further Explanation:

A cube is a six-faced figure with same side length.

The formula for calculting the surface area of cube is given by:

$SA = 6s^2$

Here s is the length of side.

Given

Side length =s =5 in

$SA=6*(5)^2\\= 6*25\\=150\ in^2$

The area of cube is 150 in^2

Keywords: Surface area, Cube

Learn more about cube at:

#LearnwithBrainly

7 0

3 years ago

Find the area. Simplify your answer.

zvonat [6]

Area of a rectangle equals length times width
2x *3x

First you multiply the numbers
2*3=6

Then you multiply the variable
x*x=x^2

Area =6x^2

3 0

3 years ago

The picture. and answer 1-6. please hurry

satela [25.4K]

Answer:

Step-by-step explanation:

From the figure attached,

1). Sin(D) = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

= $\frac{EF}{DF}$

= $\frac{24}{26}$

= $\frac{12}{13}$

2). Cos(D) = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

= $\frac{ED}{DF}$

= $\frac{10}{26}$

= $\frac{5}{13}$

3). tan(D) = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

= $\frac{EF}{DE}$

= $\frac{24}{10}$

= $\frac{12}{5}$

4). sin(F) = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

= $\frac{DE}{DF}$

= $\frac{10}{26}$

= $\frac{5}{13}$

5). cos(F) = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

= $\frac{EF}{DF}$

= $\frac{24}{26}$

= $\frac{12}{13}$

6). tan(F) = $\frac{\text{Adjacent side}}{\text{Adjacent side}}$

= $\frac{DE}{EF}$

= $\frac{10}{24}$

= $\frac{5}{12}$

4 0

3 years ago

the length of an office building is x feet and the width is x+4 feet. write the polynomial that represents the area. find the ar

ki77a [65]

L(w) = area of rectangle

x(x+4)
If x = 12...

12(12+4) Distribute the 12 to both terms inside parenthesis.
144 + 48 Add
192 Final Area

7 0

3 years ago