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3 years ago

Which is correct regarding the angles of the triangle?

Mathematics

1 answer:

Valentin [98]3 years ago

4 0

Answer:

One of the properties of triangle is the opposite of the largest angle is the longest leg and the smallest angle is opposite the shortest leg.

Given the three sides of the triangle with its corresponding angle, we have:

(2m+3) = m∠X

(m-3) = m∠Y

(m+8) = m∠Z

assign value for m; let m = 6

2(6)+3 = 15 = m∠X

6 - 3 = 3 = m∠Y

6 + 8 = 14 = m∠Z

As the sides correspond to its angle, therefore, the largest angle is m∠X and the smallest is m∠Y

The correct one is m∠Y < m∠Z < m∠X

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Julio bought tables and chairs for his restaurant. He bought 16 total items and spent $1800. Each table cost $150 and each chair

uysha [10]

Answer:

He bought 6 chairs and 10 tables.

Step-by-step explanation:

x+y = 16

he spent = $1800

1 chair = $50

y chairs = $50y

1 table = $150

x chairs = $150x

so, 150x+50y = 1800

we got two equations :

x+ y = 16

150x+50y = 1800

Using. substitution method,

x+y = 16

so, x = 16-y

Now

150x+50y =1800

or, 150(16-y) + 50y = 1800

or, 2400-150y+50y = 1800

or, 2400-1800 = 150y-50y

or, 600=100y

so, y = 6

now,

x+y = 16

or, x + 6 = 16

so, x = 10

4 0

2 years ago

Whats answer giving brainliest to first CORRECTTT person

Alex_Xolod [135]

Answer:

C. 4x+12

Step-by-step explanation:

To distribute, multiply 4 and x which gives you 4x and multiply 4x3 which equals 12 and 12 is positive so the answer is 4x+12.

8 0

3 years ago

Please help me solve

Law Incorporation [45]

CL ≈ AE and HG≈ZR and ∠L≈∠E as both triangles are isosceles so CL=HL and AE=EZ
so HL≈AE≈ZR≈EZ so according to side angle side ΔCLH andΔ AZE both are congruent so side CH≈AZ

4 0

3 years ago

You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.

RUDIKE [14]

Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.

Thus, the length of fencing needed is given by

P = x + 2y

The area of the rectangle is given by xy,

i.e.

$xy = 288 \\ \\ \\ \\ \Rightarrow y= \frac{288}{x}$

Substituting for y into the equation for the length of fencing needed, we have

$P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}$

For the amount of fencing to be minimum, then

$\frac{dP}{dx} =0 \\ \\ \Rightarrow1- \frac{576}{x^2} =0 \\ \\ \Rightarrow \frac{576}{x^2} =1 \\ \\ \Rightarrow x^2=576 \\ \\ \Rightarrow x=\sqrt{576}=24$

Now, recall that

$y= \frac{288}{x} = \frac{288}{24} =12$

Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

Therefore, 48 feets of fencing is needed to enclose the garden.

8 0

3 years ago

What is the value of 1–5|?

n200080 [17]

Answer:nun ya buisness tho

Step-by-step explanation:

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3 0

3 years ago

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