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Lera25 [3.4K]
1 year ago
6

two angles form a linear pair. If one angle is 7/2 larger than the other, what is the measurement of each angle.​

Mathematics
1 answer:
masha68 [24]1 year ago
5 0

The angles are 40 degrees and 140 degrees.

• In plane geometry, a figure which is created by two rays or two lines or line segments that share a common end point is known as angle.

• The two rays which are share a common point are called as sides of the angle an the common end point is called as the vertex.

• Some types of angles are acute angle, right angle, obtuse angle, straight angle and many more.

Let one angle be x

Other angle = 7/2 x

Since it is a linear pair, it’s sum will be 180 degrees.

So, x + 7/2 x = 180

9/2 x = 180

9 x = 360

X = 40

7/ 2 x = 7/2 × 40 = 140

Therefore, the angles are 40 degrees and 140 degrees.

Learn more about angles here:

brainly.com/question/25770607

#SPJ9

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Answer:

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Step-by-step explanation:

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When y is 4, p is 0.5, and m is 2, x is 2. If x varies directly with the product of p and m and inversely with y, which equation
Radda [10]
<h3><u>Question:</u></h3>

When y is 4, p is 0.5, and m is 2, x is 2. If x varies directly with the product of p and m and inversely with y, which equation models the situation?

xpmy=8

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<h3><u>Answer:</u></h3>

The equation models the situation is \frac{x y}{p m}=8

<h3><u>Solution:</u></h3>

Given that  

x is 2, y is 4, p is 0.5, and m is 2

x varies directly with the product of p and m

x varies inversely with y

\text {Product of } p \text { and } m=p \times m=p m

x varies directly with the product of p and m

=>x \propto p m ---- eqn 1

As x varies inversely with y,

=>x \propto \frac{1}{y}   ----- eqn 2

From (1) and 2, we can say that

x \propto \frac{p m}{y}

\Rightarrow x=k \frac{p m}{y}

where k is constant of proportionality

\Rightarrow \frac{x y}{p m}=k   ---- eqn 3

On substituting given values of x = 2, y = 4, p = 0.5 and m= 2 in eqn (3) we get

\frac{x y}{p m}=\frac{2 \times 4}{0.5 \times 2}=k

\begin{array}{l}{\frac{x y}{p m}=\frac{8}{1}=k} \\\\ {=>\frac{x y}{p m}=8}\end{array}

Hence correct option is second that is \frac{x y}{p m}=8

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