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3 years ago

Find the value of x and y.I haven't learned this yet and I really need help

Mathematics

1 answer:

egoroff_w [7]3 years ago

7 0

angles that are across from each other at a junction are vertical angles, and thus equal.

∡4x is across the junction from ∡2x + 6, meaning those two sisters are twins.

$\bf 4x=2x+6\implies 2x=6\implies x=\cfrac{6}{2}\implies x=3$

angles that lie on the same flat-line are linear angles, and since a flat-line has 180°, then those linear angles are supplementary angles, namely they both add up to 180°.

we know x = 3, we also know that ∡4x + ∡y = 180°

$\bf 4x+y=180\implies 4(3)+y=180\implies 12+y=180\implies y=168$

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You are randomly selecting cards from a deck of cards. What is the probability of pulling a king, replacing it, and then pulling

kotykmax [81]

Answer:

1/52 since there are usually 52 cards in a deck

Step-by-step explanation:

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3 0

3 years ago

Read 2 more answers

The population of Henderson City was 3,381,000 in 1994, and is growing at an annual rate 1.8%

liq [111]

<h2>In the year 2000, population will be 3,762,979 approximately. Population will double by the year 2033.</h2>

Step-by-step explanation:

Given that the population grows every year at the same rate( 1.8% ), we can model the population similar to a compound Interest problem.

From 1994, every subsequent year the new population is obtained by multiplying the previous years' population by $\frac{100+1.8}{100}$ = $\frac{101.8}{100}$ .

So, the population in the year t can be given by $P(t)=3,381,000\textrm{x}(\frac{101.8}{100})^{(t-1994)}$

Population in the year 2000 = $3,381,000\textrm{x}(\frac{101.8}{100})^{6}$ = $3,762,979.38$

Population in year 2000 = 3,762,979

Let us assume population doubles by year $y$ .

$2\textrm{x}(3,381,000)=(3,381,000)\textrm{x}(\frac{101.8}{100})^{(y-1994)}$

$log_{10}2=(y-1994)log_{10}(\frac{101.8}{100})$

$y-1994=\frac{log_{10}2}{log_{10}1.018}=38.8537$

$y$ ≈ $2033$

∴ By 2033, the population doubles.

4 0

3 years ago

Name two different numbers that round to 30 when rounded to the nearest ten

andrew11 [14]

For this case we have the following definition:

tens place: number of two digits whose absolute value is greater than zero.

Then, we have the following rounding rule:

If the previous number is greater than or equal to five, the next number increases by one unit.

We then have the following numbers rounded to 30 when rounded to the nearest ten:

26: twenty-six

27: twenty-seven

Answer:

two different numbers that round to 30 when rounded to the nearest ten are:

26: twenty-six

27: twenty-seven

6 0

2 years ago

Read 2 more answers

Draw a double number line to solve the following problem.

sergeinik [125]

25 minutes
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3 0

3 years ago

Can someone help me with this algebra question please 100% correct only

Mice21 [21]

The answer is: [D]: " 24 + 2w " .
___________________________________________
Explanation:
___________________________________________
Given: The formula for the Perimeter of a rectangle:
___________________________________________
P = 2L + 2w ;

in which:
P = perimeter ;
L = length = 12 units (given);
w = width = unknown;
_______________________________________________________
Find the perimeter, "P", in terms of "w" ; since "w" (width) is unknown; and considering the answer choices given; along with the information provided in the problem, we only have enough information to solve for the perimeter, "P", in terms of "w" ;
_____________________________________________________
So, given the formula/equation for the perimeter, "P" :
_____________________________________________________
P = 2L + 2w ; we know that: " L = 12 units " ;
_____________________________________________________
P = 2*12 + 2w = 24 + 2w ; which is: "Answer choice: [D]" .
_____________________________________________________

7 0

2 years ago

Find the value of x and y.I haven't learned this yet and I really need help ​

Find the value of x and y.I haven't learned this yet and I really need help