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2 years ago

What is the value of angle X and angle Y in the triangle diagram below?

Mathematics

1 answer:

andre [41]2 years ago

3 0

Sum of two interior angles=exterior angle

$\\ \rm\Rrightarrow 45+65=y$

$\\ \rm\Rrightarrow y=110$

Linear pairs have sum 180

$\\ \rm\Rrightarrow x+y=180$

$\\ \rm\Rrightarrow x+110=180$

$\\ \rm\Rrightarrow x=70$

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Find the slope of the line

olga55 [171]

Answer:

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Step-by-step explanation:

The slope formula is:

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-------- = -------------- = --------- = ----- = -1

x2-x1 1 - (-3) 1+3 4

So, the slope is -1 XD YAY!!

6 0

3 years ago

Read 2 more answers

Using sum or difference formulas, find the exact value of sin(165∘)

Nikitich [7]

$\bf \textit{Sum and Difference Identities}
\\ \quad \\
sin({{ \alpha}} + {{ \beta}})=sin({{ \alpha}})cos({{ \beta}}) + cos({{ \alpha}})sin({{ \beta}})
\\ \quad \\
sin({{ \alpha}} - {{ \beta}})=sin({{ \alpha}})cos({{ \beta}})- cos({{ \alpha}})sin({{ \beta}})\\\\
-------------------------------\\\\$

$\bf sin(165^o)\implies sin(120^o+45^o)
\\\\\\
sin(120^o)cos(45^o)~+~cos(120^o)sin(45^o)\implies \cfrac{\sqrt{3}}{2}\cdot \cfrac{\sqrt{2}}{2}~+~\cfrac{-1}{2}\cdot \cfrac{\sqrt{2}}{2}
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6 0

3 years ago

The perimeter of a rectangle is 300 feet. The width of the rectangle is 10 feet more than the length. What is the width of the r

gavmur [86]

300 = 2(x + x + 10)
300 = 2(2x +10)
300 = 4x + 20
4x = 280
x = 70
x + 10 = 80
width = 80ft
answer <span>D) 80 feet</span>

7 0

3 years ago

2^8+6(7-1)+4 does this equal 56

sukhopar [10]

Answer:

nope

Step-by-step explanation:

it acutally equals to 292 I am sure!

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3 years ago

You open a drink stand where you sell coffee and hot chocolate. You sell coffee for $1.80 and hot chocolate for $3.15. At the en

Usimov [2.4K]

Answer:

c = 69 and h = 51

Step-by-step explanation:

You will need two different equations here

use variable c as coffee and variable h as hot chocolate

c + h = 120

1.80c + 3.15h = 284.40

By moving variables, you can alter the first equation

h = 120 - c

Now insert this into the second equation

1.80c + 3.15(120 - c) = 284.40

Multiply

1.80c + 378 - 3.15c = 284.40

Subtract the c

-1.35c + 378 = 284.40

Subtract 378 from both sides

-1.35c = -93.6

Divide both sides by -1.35

c = 69

Then plug into the first equation

69 + h = 120

Subtract 69

h = 51

7 0

3 years ago