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2 years ago

Find x and y can someone pls solve

Mathematics

1 answer:

Elan Coil [88]2 years ago

5 0

First, we need to understand that these two triangles are

similar.

we know this because their lines (the arrows) prove they are the same direction. A similar triangle does

NOT mean they are proportional,

they are just similar by ratio.

Lets call the triangle on the left ABC and the triangle on the right A'B'C'.

I will attach an image of the labels.

Because they are similar triangles, angle A is the same as angle A'. Angle B is the same as angle B', angle C is the same as angle C'.

Based on that information, we know xº is = 65º. We know that the interior angles add up to 180º. So for triangle A'B'C', we can do 180º-40º-65º which is 70º. This means angle C' is 70º.

Now the important part is getting yº. A line is 180º. That means that 180º-70º=yº which is 110º.

If you do not understand anything, please let me know and I will try to teach you.

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A punch recipe requires 4 L of orange juice and 3 L of pineapple juice. Sylvia wants to tripple the recipe. What is the total am

kirill [66]

Answer:

Sylvia needs 12 l of orange juice and 9 l of pineapple juice.

Step-by-step explanation:

triple means multiplying by 3

so multiply 4 l of orange juice by 3 and 3 l of pineapple juice by 3

3 0

3 years ago

3. The formula to find the surface area of a sphere is to take the radius of the sphere and square it and multiply that amount b

KatRina [158]

The way to get the equation for the radius (r) is to get r by itself. So divide each side by 4pi
500/4pi=r^2
Now take the square root of each side to get the equation of r.
sqrt(500/4pi)=r

6 0

3 years ago

Read 2 more answers

F(x) = 2x + 3g(x) = 2x² + 6x + 13Find: (gºf)(x)

Butoxors [25]

Answer:

The function (gof)(x) is;

$(g\circ f)(x)=8x^2+36x+49$

Explanation:

Given the functions;

$\begin{gathered} f(x)=2x+3 \\ g(x)=2x^2+6x+13 \end{gathered}$

Solving for the function;

$(g\circ f)(x)=g(f(x))$

so, we have;

$\begin{gathered} g(f(x))=2(f(x))^2+6(f(x))+13 \\ g(f(x))=2(2x+3)^2+6(2x+3)+13 \\ g(f(x))=2(4x^2+12x+9)^{}+6(2x)+6(3)+13 \\ g(f(x))=8x^2+24x+18^{}+12x+18+13 \\ g(f(x))=8x^2+24x^{}+12x+18+18+13 \\ g(f(x))=8x^2+36x+49 \end{gathered}$

Therefore, the function (gof)(x) is;

$(g\circ f)(x)=8x^2+36x+49$

5 0

1 year ago

At sunset the temperature was 4 dgrees. the next morning at sunset it was -7 degrees. what is the difference betweeen these temp

DedPeter [7]

The difference between these temperatures for the sunset is found as 11 degrees.

<h3>What is temperature difference?</h3>

In science, the term Delta T (ΔT) refers to the temperature between two measuring points. The temperature varies according to time and/or location.

Some key features regarding the temperature difference are-

Merus, for example, uses it to assess the effectiveness of such a heat exchanger.
Or to evaluate the effectiveness of a heating or cooling system.
A fourth letter of a Greek alphabet is, (Δ). Whereas is the capital letter symbol and the lower case letter.
The sign is also used in mathematics. Describes the "difference" between any two changeable quantities. T is a value in a process that represents a difference between two observed temperatures.

Now, according to the question;

Let the initial temperature be 'T' = 4 degrees.

Let the final temperature be 't' = -7 degrees.

Therefore, the temperature difference is;

ΔT = T - t

= 4 - (-7)

= 4 + 7

ΔT = 11

Therefore, the difference between these temperatures is 11 degrees.

To know more about the temperature difference, here

brainly.com/question/24746268

#SPJ4

8 0

1 year ago

Which choice correctly compares the two numbers?

notka56 [123]

Answer:

A) 20.82 > 20.55

Step-by-step explanation:

Hopefully, your issue is with the symbols (< vs >) rather than actually determining which number is larger or smaller.

The wide-open end of the symbol (the left side, in the case of >) indicates the larger (more positive) number.

So, the meanings of the symbols are ...

> — "is greater than"

< — "is less than"

The only true statement of those listed is ...

20.82 is greater than 20.55, or 20.82 > 20.55 . . . . selection A

_____

When writing number comparisons, I like to use the < symbol, because it puts the numbers in number-line order. That is, the smaller (or more negative) number is on the left, just as it is on a number line.

You trade the places of the numbers when changing the symbol. For example, answer choice A could be rewritten as ...

20.55 < 20.82

You know that 20.55 is to the left of 20.82 on the number line, so you know this statement is true.

3 0

3 years ago