All categories

3 years ago

Hello whats is the size of the angle

Mathematics

2 answers:

Gennadij [26K]3 years ago

4 0

Answer:

x = 65°

Step-by-step explanation:

The interior angle of the triangle and 140° are adjacent and supplementary, thus

interior angle = 180° - 140° = 40°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

105° is an exterior angle of the triangle, thus

x + 40° = 105° ( subtract 40° from both sides )

x = 65°

Fed [463]3 years ago

3 0

Answer:

65°

Step-by-step explanation:

Angles on a straight line add up to 180 degrees.

180 - 105 = 75

180 - 140 = 40

Angles in a triangle add up to 180 degrees.

x + 75 + 40 = 180

x + 115 = 180

x = 180 - 115

x = 65

You might be interested in

Sidneys made $38 more than 3 times Casey’s weekly salary. If x represents Casey’s weekly salary , write an expression for sidney

Harrizon [31]

y=3x+38 is the expression for Sidney's weekly salary.

Step-by-step explanation:

Given,

Casey's weekly salary = x

Let,

y be the weekly salary of Sidney's.

According to given statement;

Sidney makes $38 more than 3 times Casey's weekly salary.

Sidney's weekly salary = 3 times Casey's weekly salary + $38

$y=3x+38$

y=3x+38 is the expression for Sidney's weekly salary.

Keywords: variable, addition

Learn more about variables at:

#LearnwithBrainly

8 0

3 years ago

An Someone plz help me plz :(

zlopas [31]

Answer:

Step-by-step explanation:

original 3:4

now 18:24

Multiply by 6

6 0

3 years ago

Find the value of x and simplify completely.

jok3333 [9.3K]

Answer:

Given: A right triangle in which an altitude is drawn from the right angle vertex to the hypotenuse.

To find: 'x' the larger leg of triangle

Solution,

Using let rule for similarity in right triangle:

$\frac{leg}{part} = \frac{hypotenuse}{leg} \\ or \: \frac{x}{27} = \frac{3 + 27}{x} \\ or \: x \times x = 27(3 + 27) \\ or \: x \times x = 81 + 729 \\ or \: {x}^{2} = 810 \\ or \: {x}^{2} = 81 \times 10 \\ or \: {x} = \sqrt{81 \times 10} \\ or \: x = \sqrt{81} \times \sqrt{10} \\ or \: x = \sqrt{ {(9)}^{2} } \times \sqrt{10} \\ \: x = 9 \sqrt{10}$