All categories

2 years ago

A and B are vertical angles. If mA = (8x – 12) and mB = (6x + 14) ,then find the value of x.

Mathematics

1 answer:

Novay_Z [31]2 years ago

8 0

Answer:

x = 14

Step-by-step explanation:

∠A = (8x – 12) and ∠B = (6x + 14)

∠A = ∠B because they are vertical angles

then:

(8x – 12) = (6x + 14)

reduce:

2x = 28

x = 14

You might be interested in

Simplify the expression (2h+1)(8)

Elza [17]

Answer:

$16h+8$

Step-by-step explanation:

$(2h+1)(8)$

Multiply 8 with 2h and 1

$16h+8$

8 0

3 years ago

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(3,−2), B(6, -2), C(6, 5) D

Vikki [24]

Answer:

Step-by-step explanation:

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

A(3,-2) ; B(6,-2)

$AB=\sqrt{(6-3)^{2}+(-2-[-2])^{2}}\\\\ =\sqrt{3^{2}+(-2+2)^{2}}\\\\=\sqrt{9+0}=\sqrt{9}\\\\$

AB = 3 units

B(6,-2) ; C(6,5)

$BC=\sqrt{(6-6)^{2}+(5-[-2])^{2}} \\\\=\sqrt{0+(5+2)^{2}}\\\\=\sqrt{(7)^{2}}\\$

BC = 7 units

Area of rectangle = length * width

= AB * BC

= 3 * 7

= 21 square units

3 0

3 years ago

Read 2 more answers

Please help! I forgot how to do it

Stels [109]

3*2 probably I’m sorry if it’s wrong

5 0

2 years ago

Which expression represents the distance between −14.6 and −5.2 on the number line? Drag and drop the correct expression into th

musickatia [10]

Answer:

The expression that represent the distance between -14.6 and -5.2 is the value absolute of the subtraction of the two points.

Then the distance is $d=|-5.2-(-14.6)|=|-5.2+14.6|=9.4$

3 0

3 years ago

14. A rectangle has a width described by the expression (x2 + 2x – 15)/x and a length described by the expression

tensa zangetsu [6.8K]

Answer:

The answer to your question is Perimeter = [4x³ + 14x² + 50x - 150] / x(5 + x)

Step-by-step explanation:

Data

Width = (x² + 2x - 15)/x

Length = (3x² + 4x)/ (5 + x)

Process

1.- Write the formula for the perimeter of a rectangle

Perimeter = 2W + 2L

2.- Substitution

Perimeter = 2(x² + 2x - 15)/x + 2(3x² + 4x)/(5 + x)

3.- Simplification

Perimeter = (2x² + 4x - 30)/x + (6x² + 8x)/(5 + x)

4.- Sum the fractions

Least common factor = x(5 + x)

Perimeter = [(2x² + 4x - 30)(5 + x) + (x(6x² + 8x)] / x(5 + x)

-Simplification

Perimeter = [10x² + 20x - 150 - 2x³ - 4x² + 30x + 6x³ + 8x²] / x(5 + x)

Perimeter = [4x³ + 14x² + 50x - 150] / x(5 + x)

8 0

3 years ago