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Andrew [12]
3 years ago
12

WILL GIVE BRAINLIEST 5x + 100 = 3x + 112

Mathematics
2 answers:
Katena32 [7]3 years ago
6 0
5x + 100 = 3x + 112
(subtract 100)
5x = 3x + 12
(subtract 3x)
2x = 12
(divide by 2)

x = 6
lidiya [134]3 years ago
3 0

Simplifying

5x + 100 = 3x + 112

Reorder the terms:

100 + 5x = 3x + 112

Reorder the terms:

100 + 5x = 112 + 3x

Solving

100 + 5x = 112 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

100 + 5x + -3x = 112 + 3x + -3x

Combine like terms: 5x + -3x = 2x

100 + 2x = 112 + 3x + -3x


Combine like terms: 3x + -3x = 0

100 + 2x = 112 + 0

100 + 2x = 112


Add '-100' to each side of the equation.

100 + -100 + 2x = 112 + -100


Combine like terms: 100 + -100 = 0

0 + 2x = 112 + -100

2x = 112 + -100


Combine like terms: 112 + -100 = 12

2x = 12


Divide each side by '2'.

x = 6


Simplifying

x = 6

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If line GH is perpendicular to line HJ, then GJ is ____ HJ.
valentinak56 [21]

Option A: >

Solution:

Given a triangle GHJ.

The line GH is perpendicular to line HJ.

This means the triangle is a right angled triangle.

In ΔGHJ, GH is the base of the triangle and

HJ is a height of the triangle.

Then the third side must be the hypotenuse of the right triangle.

We know that by the Pythagoras theorem,

(\text {Hypotenuse})^2=(\text{Base})^2+(\text{Height})^2

(\text {GJ})^2=(\text {GH})^2+(\text {HJ})^2

This clearly shows that the hypotenuse is greater than the height.

⇒ GJ > HJ

Option A: > is the correct answer.

If line GH is perpendicular to line HJ, then GJ is > HJ.

3 0
4 years ago
What is 350987 x 80000 - 43000 +98
Ipatiy [6.2K]

Answer:

28078916902

Step-by-step explanation:

350987 x 80000

28078960000- 43000

28078917000- 98

28078916902

3 0
3 years ago
Find the shaded area of the figure. Please help would really appreciate it
Alisiya [41]
<h3>Answer:  120 square cm</h3>

==========================================================

Work Shown:

Let,

  • A = area of unshaded rectangle (the 6 by 10 rectangle)
  • B = area of the unshaded triangle (that has the "8 cm" inside it)
  • C = area of parallelogram
  • D = shaded area = C - (A+B) = C - A - B

We can see that A = 60 since the rectangle has base 10 and height 6, so 10*6 = 60.

The upper horizontal part of the parallelogram is 10+8 = 18 cm long. This means the bottom horizontal part of the parallelogram is the same length. The bottom portion shows 9 cm until we reach the triangle. This means that 18-9 = 9 cm is the base of the unshaded triangle (that has the "8 cm" inside it).

That triangle has area of 0.5*base*height = 0.5*9*8 = 36 square cm. So B = 36

The parallelogram has base 18 cm and height 12 cm, so it has area of 18*12 = 216. This means C = 216

We can then finally compute the value of D

D = C - A - B

D = 216 - 60 - 36

D = 120 square cm

6 0
3 years ago
for every 4 boys who liked soccer, there were 8 boys who liked basketball. for every 2 girls who liked soccer, there were 10 gir
Alik [6]
The answer would be 48 because you have to divide by 2 because the amount of girls is only 2 because 5x2=10 so you would do 2
4 0
4 years ago
Find the length of the third side. If necessary, write it in simplest radical form.
NNADVOKAT [17]

Answer:

a = sqrt(7)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

where a and b are the legs and c is the hypotenuse

a^2 +3^2 = 4^2

a^2 +9 = 16

a^2 = 16-9

a^2 = 7

Taking the square root

a = sqrt(7)

6 0
3 years ago
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