All categories

3 years ago

Lines AB and CD intersect at E, mLAED = 110,

Mathematics

2 answers:

IgorC [24]3 years ago

7 0

Answer:

x = 10, y = 20

Step-by-step explanation:

Form a system of equations:

From the picture at the bottom you can see that vertical angles are equal, so:

$3x + 2y = 70$

Then, since the angles all together will add up to 360, you can do

$3x+2y+9x+y+70+9x+y=360$

$21x+4y+70=360$

subtract 70 from both sides

$21x + 4y = 290$

With the equation 3x + 2y = 70, multiply both sides by 2

$6x+4y=140$

Subtract the two equations:

$15x=150\\x=10$

Plug this into one of the original equations

$30+2y=70\\2y = 40\\y=20$

lakkis [162]3 years ago

5 0

Answer:

45,698,09864,58586,96403

You might be interested in

Original price of a CD: $20.00 <br> Discount 42% <br> Tax 6%

vodomira [7]

First, we can subtract the discount from the original price. Divide the discount (42%) over 100.

42/100 = 0.42

Next, we need to multiply. It's basically asking what 42% of 20 is.

0.42 × $20 = $8.40

Now, we know that we will have $8.40 on the CD because of the discount. We can subtract the saved amount from the original amount to get the price.

$20 - $8.40 = $11.60

You will pay $11.60 for the CD without taxes.

----------

Now to add the taxes.... To do this, do the same first step we did when finding the discount price.

6/100 = 0.06

Multiply. Like I said, you can think of it as, '6% of 11.60'.

0.06 × 11.60 = $0.70

Last step is to ADD. Since taxes add more money onto the current price, we will have to add.

$11.60 + $0.70 = $12.30

---------

The total price of the CD will be: $12.30.

3 0

3 years ago

How do you solve 5/6 ×20

Alex73 [517]

Ok so remember that if you had
1/2 times 3/4 that equals (1 ties 3)/(2 times 4)
just mutply top number with top number and bottom number with bottom number so

remember that 20=20/1 so
5/6 times 20/1=
5 times 20=100
6 times 1=6

5/6 times 20/1=100/6 (can be simplified to 50/3 or 16 and 2/3)

5 0

3 years ago

What is the probability of rolling a number greater than 2 on one roll of a die and a 6 on a second roll of a die?

ch4aika [34]

Explanation:
There are
6
possible outcomes:
{
1
,
2
,
3
,
4
,
5
,
6
}

4
of these outcomes are greater than
2
: {3.4.5.6}#
So the probability of a roll greater than
2
is
4
out of
6

XXX
=
4
6
=

2/3

Mark brainliest please

Hope this helps you
Answer link

8 0

2 years ago

Which of the following is an x-intercept of the graph of the function shown below?

DaniilM [7]

Answer: Second option.

Step-by-step explanation:

By defintion, a Quadratic function is a polynomial of degree 2 and it has the following form:

$f(x)=ax^2+bx+c$

Therefore, the function given is Quadratic. This is:

$f(x)=x^2 + 6x +9$

The steps to find the roots (or the x-intercepts) of the function, are:

1. You must substitute $f(x)=0$ :

$0=x^2 + 6x +9$

2. Now, you can factor the Quadratic equation. Choose two numbers whose sum is 6 and whose product is 9. Notice that:

$3+3=6\\3*3=9$

Therefore, you will get a "Double root".

4. So the solution is:

$(x+3)^2=0\\\\x=-3$

8 0

3 years ago

Read 2 more answers

Express each of the following percentages as a fraction and simplify it.

telo118 [61]

$\hookrightarrow\sf{ 25\% =\dfrac{25}{100}=\boxed{\bf \dfrac{1}{4} }} \\\hookrightarrow\sf{ 40\% =\dfrac{40}{100}=\boxed{\bf \dfrac{2}{5} }} \\\hookrightarrow \sf{16\%=\dfrac{16}{100}=\boxed{\bf\dfrac{4}{25}} } \\ \hookrightarrow\sf{150\%=\dfrac{150}{100}=\boxed{\bf\dfrac{3}{2} }} \\ \hookrightarrow\sf{120\%=\dfrac{120}{100}=\boxed{\bf\dfrac{6}{5} }} \\\hookrightarrow \sf{58\%=\dfrac{58}{100}=\boxed{\bf\dfrac{29}{50}} } \\\hookrightarrow \sf{32\%=\dfrac{32}{100}=\boxed{\bf\dfrac{8}{25} }} \\ \hookrightarrow\sf{175\%=\dfrac{175}{100}=\boxed{\bf\dfrac{7}{4}} } \\$

$\hookrightarrow \sf123\% = \frac{123}{100} = \boxed{\bf1.23} \\ \hookrightarrow \sf2.25\% = \frac{2.25}{100} = \frac{225}{10000} = \boxed{\bf0.0225}$

6 0

3 years ago