Need some math help thanks in advance!

Mathematics

1 answer:

vredina [299]2 years ago

7 0

Answer:

x = 10

y = 6

Step-by-step explanation:

Vertical Angle Theorem: When two straight lines intersect, the opposite vertical angles are always equal to each other.

⇒ m∠1 = m∠3 and m∠2 = m∠4

⇒ m∠1 = m∠3

⇒ 10x = 100

⇒ x = 10

Linear pair: Two adjacent angles which sum to 180°.

⇒ m∠1 + m∠2 = 180°

⇒ m∠3 + m∠4 = 180°

⇒ 100 + 10y + 20 = 180

⇒ 120 + 10y = 180

⇒ 10y = 60

⇒ y = 6

You might be interested in

The slant height of a regular square pyramid is longer than its altitude.

andrezito [222]

Always

Because the slant length is the longest length when looking at the Pythagoras theorm

In this case the slant is y, with x and y as the height and base
y²= $x^{2}+y^{2}$

Hence y the slant is the sum of the height and and base and will always be larger

5 0

4 years ago

Read 2 more answers

HELP ME ON GEOMETRY!!

Nikolay [14]

Answer:

12 units²

Step-by-step explanation:

The two are congruent, so C'D' is still 6units long. L*W = 6 * 2 = 12 units^2

6 0

3 years ago

5 miles is 8km. Convert 68km to miles

german

Answer: It should be 42.5 since 68 divided by 8 times 5 equal that

8 0

2 years ago

Is x and x2 like terms or unlike terms

babymother [125]

Like terms" are terms whose variables (and their exponents such as the 2 in x2) are the same. In other words, terms that are "like" each other. Note: the coefficients (the numbers you multiply by, such as "5" in 5x) can be different.

4 0

3 years ago

Simplify and write the trig expression in terms of sin and cos

dsp73

We have: