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4 years ago

Find the measure of each angle

Mathematics

1 answer:

erica [24]4 years ago

6 0

Answer:

y = 51

x = 129

z = 129

Step-by-step explanation:

y and 51 are vertically opposite angles, and therefore are equal.

51 x 2 = 102

360 - 102 = 258

258 / 2 = 129

x and z are also vertically opposite, and therefore equal.

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A fruit basket contains 11 red apples and 7 green apples. What is the ratio of the number of red apples to the number of green a

Maurinko [17]

The ratio is 11 : 7. I.e the number of red apples are 11 and that of green are 7

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3 years ago

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The line 3x-8y=k cuts the x-axis and y- axis at the point A and B respectively. If the area of ∆AOB =12sq.units, find the value

Sladkaya [172]

Given:

The equation is:

$3x-8y=k$

It cuts the x-axis and y- axis at the point A and B respectively.

The area of ∆AOB =12 sq.units.

To find:

The value of <em>k</em>.

Solution:

We have,

$3x-8y=k$

Substituting $x=0$ to find the y-intercept.

$3(0)-8y=k$

$0-8y=k$

$y=\dfrac{k}{-8}$

$y=-\dfrac{k}{8}$

Substituting $y=0$ to find the x-intercept.

$3x-8(0)=k$

$3x-0=k$

$x=\dfrac{k}{3}$

Area of a triangle is:

$A=\dfrac{1}{2}\times base\times height$

The height of the ∆AOB is $OB=\dfrac{k}{8}$ because distance cannot be negative and the base of the ∆AOB is $OA=\dfrac{k}{3}$ . So, the area of the ∆AOB is:

$A=\dfrac{1}{2}\times \dfrac{k}{8}\times \dfrac{k}{3}$

$A=\dfrac{k^2}{48}$

It is given that, the area of ∆AOB = 12 sq.units.

$\dfrac{k^2}{48}=12$

$k^2=576$

$k=\pm \sqrt{576}$

$k=\pm 24$

Therefore, the value of k is either 24 or -24.

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3 years ago

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Answer:

Step-by-step explanation:

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So all you have to do is:

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which gives you an answer of 3.

Thus the post-discount amount is $3.

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3 years ago

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UkoKoshka [18]

Answer:

d=r*t

Step-by-step explanation:

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4 years ago

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Como hacer esta ecuacion. ax+7=3

Alexus [3.1K]

Good morning ☕️

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Answer:

If a≠0, x= $\frac{-4}{a}$

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Step-by-step explanation:

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3 years ago