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3 years ago

Which of the following statements describes an angle bisector of angle ABC? heagarty maths

Mathematics

1 answer:

Andrej [43]3 years ago

4 0

Answer:

Given an angle ABC, it is possible to construct a line BF that divides the angle into two equal parts using only a straightedge and compass. Such a line is called an angle bisector. ... If we then construct the line BF, it will divide the original angle ABC into two equal angles.

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Use the figure to determine the value of X and y

bogdanovich [222]

Answer:

100,80

Step-by-step explanation:

The opposite angle theorem states that, : "When two lines cross four angles are created and the opposite angles are equal."

y°=80°

Now, check that , x° and y° are in one straight line. A straight line has angle of 180°. So x° and y° should sum up to 180°

x° + y° = 180°

x° + 80° = 180°

x° = 100°

6 0

3 years ago

Read 2 more answers

Solve for x if EF = 2x + 7 and FG = 7x –9<br><br> help please I'll give brainliest

s2008m [1.1K]

Answer:

x = 3.2

Step-by-step explanation:

Since, intercepts made by parallel lines on the transversals are in proportion.

$\therefore \frac{AB}{BC} =\frac{EF}{FG}... (1)$

AB = BC.... (given)

$\implies \frac{AB}{BC} = 1..... (2)$

From equations (1) & (2)

$1 =\frac{EF}{FG}$

${FG}={EF}$

Therefore,

7x - 9 = 2x + 7

7x - 2x = 9 + 7

5x = 16

x = 16/5

x = 3.2

7 0

3 years ago

Find the domain of the function. (enter your answer using interval notation.) f(x) = 3x3 − 1 x2 + 2x − 15

Neporo4naja [7]

Hello!

A cubic function is in the form of $f(x)=ax^{3}+bx^{2}+cx+d$ .

All cubic functions have a domain of all real numbers, the range also has a range of all real numbers.

Interval notation is used for representing a function/interval as a pair of numbers. Parentheses and brackets are used to show if the endpoints of a given function/interval are included or excluded. Brackets allow the endpoints to be included while parentheses exclude the endpoint.

Our first instinct would be that the domain is written as [-∞, ∞], but that is incorrect. Infinity is not a number, but it is a concept. This means that they are excluded from the domain.

Therefore, the domain of the function f(x) is (-∞, ∞).

6 0

3 years ago

Find the area of the sector.

kicyunya [14]

Answer:

D. 158.4 km²

Step-by-step explanation:

Area of sector = θ/360 * πr²

Where,

θ = 150°

r = 11 km

Substitute

Area = 150/360 * π * 11²

Area = 158.38863 ≈ 158.4 km² (nearest tenth)

3 0

3 years ago

rita reads 3 fiction books for every 2 non-fiction books.Which ratio represents the number of non-fiction books rita has read wh

Fudgin [204]

Answer:

6 nonfiction books

Step-by-step explanation:

if it's fiction to non 9:6

if it's non to fiction 6:9

(you may need to simplify)

5 0

3 years ago