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2 years ago

Geometry; Inscribed Angles.Find the value of y. Please explain!

Mathematics

2 answers:

r-ruslan [8.4K]2 years ago

7 0

Answer:

y = 48° is the answer.

Step-by-step explanation:

In the figure attached, length of small arc = 66°

This small arc makes an angle at the center of the circle = 66°

By definition, angle formed by the arc at the center is double of the measure of the angle inscribed by the small arc at the point on a circle.

Therefore, m (arc) = 66° = 2.(x)

x = $\frac{66}{2}=33$

Similarly, y = $\frac{96}{2}=48$

y = 48° will be the answer.

Butoxors [25]2 years ago

3 0

check the picture below.

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Write 85% as it's fraction, as simply as possible

cricket20 [7]

Hey ! there

Answer:

Simplest fraction form of 85% is 17/20 .

Step-by-step explanation:

Question says that we have to write the simplest form of 85% as it's fraction .

Solution : -

$\quad \longrightarrow \qquad \:85\%$

We know that ,

Percent ( % ) = 1/100

So ,

$\quad \longrightarrow \qquad \: 85 \times \dfrac{1}{100} \:$

or ,

$\quad \longrightarrow \qquad \: \dfrac{85}{100}$

Reducing the fraction by cancelling it by 5 :

$\quad \longrightarrow \qquad \: \dfrac{ \cancel{85}}{ \cancel{100}}$

We get :

$\quad \longrightarrow \qquad \: \pink{\underline{\boxed{\frak{\dfrac{17}{20} }}}} \quad \bigstar$

Now , we can't reduce 17/20 .

Henceforth , 17/20 is the simplest form of 85% .

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1 year ago

Read 2 more answers

The measure of an exterior angle at n measures 99�. m�l � __1 3 x� and m�m � __2 3 x�. find m�l, m�m, and m�lnm.

kirill [66]

You should ask your parent/guardian
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3 years ago

A local citizen wants to fence a rectangular community gardenn. The length of the garden should be at least 110ft,and the distan

Arte-miy333 [17]

The question is incorrect
the correct question is
A local citizen wants to fence a rectangular community garden. The length of the garden should be at least 110 ft,and the distance around should be no more than 380 ft. Write a system of inequality that model the possible dimensions of he garden. Graph the system to show all possible solutions

let
x---------------> the length of the garden
y---------------> the wide of the garden

we know that
x>=110
2x+2y <=380---------------> x+y <= 190

Part A) Write a system of inequality that model the possible dimensions of he garden

the answer part A) is
x>=110
x+y <= 190

Part B) Graph the system to show all possible solutions

using a graph tool
see the attached figure
the solution is the triangle show in the figure

the possible solutions of y (wide) would be between 0 and 80 ft
the possible solutions of x (length) would be between 110 ft and 190 ft

5 0

2 years ago

Put the following equation of a line into slope-intercept form, reducing all fractions. 6x+2y=8

djyliett [7]

6x+2y=8
2y=-6x +8
y=-3x+4

4 0

2 years ago

Hugo recurved $100 for his birthday.He then saves 20$ per week until he had a total of $460 to buy a printer. Use a. Equation to

SashulF [63]

Answer:

18 weeks

Step-by-step explanation:

In this question, we are asked to use an equation to show the number of weeks it took Hugo who received a certain amount in his birthday and continually saved a certain amount before he could gather a certain amount of money.

In this question, we understand that Hugo wants to buy a printer that costs $460. Fortunately, he had his birthday and he received $100 bucks. Now, let’s say the number of weeks he had to save for is w and he saves 20 per week. This means the total amount he hit from his savings would be 20w

Mathematically, we can use the equation below to model this scenario;

100 + 20(w) = 460

20w = 460 - 100

20w = 360

w = 360/20

w = 18 weeks

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2 years ago