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iVinArrow [24]
3 years ago
10

The equation is =360

Mathematics
1 answer:
frosja888 [35]3 years ago
3 0

Given:

Angles of the quadrilateral are 100°, 120°, 100° and x°.

To find:

The value of x.

Solution:

The sum of the angle measures of the quadrilateral is 360°.

\Rightarrow 100^\circ+120^\circ+100^\circ+x^\circ=360^\circ

\Rightarrow 320^\circ+x^\circ=360^\circ

Subtract 320° from both sides.

\Rightarrow 320^\circ+x^\circ-320^\circ=360^\circ-320^\circ

\Rightarrow x^\circ=40^\circ

The equation of 320 + x = 360.

The value of x is 40.

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3 years ago
If p q r is prime numbers such that pq+r=73, what is the least possible value of p+q+r
Jobisdone [24]
The answer to this question would be: p+q+r = 2 + 17 + 39= 58

In this question, p q r is a prime number. Most of the prime number is an odd number. If p q r all odd number, it wouldn't be possible to get 73 since
odd x odd + odd= odd + odd = even
Since 73 is an odd number, it is clear that one of the p q r needs to be an even number. 

There is only one odd prime number which is 2. If you put 2 in the r the result would be:
pq+2= 73
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There will be no solution for pq since 71 is prime number. That mean 2 must be either p or q. Let say that 2 is p, then the equation would be: 2q + r= 73

The least possible value of p+q+r would be achieved by founding the highest q since its coefficient is 2 times r. Maximum q would be 73/2= 36.5 so you can try backward from that. Since q= 31, q=29, q=23 and q=19 wouldn't result in a prime number r, the least result would be q=17
r= 73-2q
r= 73- 2(17)
r= 73-34=39

p+q+r = 2 + 17 + 39= 58
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3 years ago
Read 2 more answers
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Answer:

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Step-by-step explanation:

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3 years ago
1. An airplane moves at a constant speed of 120 miles per hour for 3 hours. How far does it go?d=rt Time Distance 1 hour 120 mil
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1 year ago
What expression is equivalent to -3+2/3y-4-1/3y
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Answer:

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Step-by-step explanation:

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Now to simplify the given expression, perform operations on LIKE TERMS:

We get:

-3 + (\frac{2}{3}) y - 4 - (\frac{1}{3})y  =( -3  - 4)  + [(\frac{2}{3}) y- (\frac{1}{3})y]\\= - 7  + [(\frac{2}{3}) -(\frac{1}{3})]y  = -7 + [\frac{2-1}{3}]y\\ = -7 + (\frac{1}{3})y\\ \implies -3 + (\frac{2}{3}) y - 4 - (\frac{1}{3})y =   -7 + (\frac{1}{3})y

Hence the simplified form of the given expression is -7 + (\frac{1}{3})y

6 0
3 years ago
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