When two lines intersect,
four angles are formed. Each opposite pair are called vertical angles and are always
congruent while each angle with the angle adjacent to it is called linear pair and may not be congruent.
Properties of vertical angles includes:
i.) <span><span><span /><span>Vertical angles are always congruent, or of equal measure.
</span></span><span>
ii.) <span>Both pairs of vertical angles (four angles altogether) always sum to a full angle (360°).</span>
</span>
<span>
Properties of linear pair includes:<span>
i.) Each pair of linear angles are
supplementary (add to 180°).</span></span><span /></span>
Answer:
28
Step-by-step explanation:
x-10+2=20
add -10 and 2 together to simplify the equation
x-8=20
add 8 to both sides to isolate x
x=28
hope this helped!
<h3>
Answer: D) 3/150</h3>
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Explanation:
With the use of a calculator, we see that,
- 11/19 = 0.57894736842106...., the decimals eventually repeat; but unfortunately my calculator ran out of room to show the repeating portion
- 4/7 = 0.5714285714285714..., the block "571428" repeats forever
- 1/3 = 0.333333.... the 3s go on forever
- 3/150 = 0.02
So 3/150 converts to the terminating decimal 0.02
The word "terminate" means "stop". In the other decimal values, the decimal digits go on forever repeating the patterns mentioned.
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A non-calculator approach will have us simplify 3/150 into 1/50 after dividing both parts by the GCF 3. Then notice how 50 has the prime factorization of 2*5*5. The fact that the denominator 50 can be factored in terms of only 2's and 5's is enough evidence to conclude that the fraction converts to a terminating decimal.
If the denominator factors into some other primes, other than 2s and 5s, then we don't have a terminating decimal. So that's why 11/19, 4/7 and 1/3 convert to non-terminating decimals.
Answer:
<h2>x²+36+2(x)(6).. is the correct answer.. </h2>
C = 2(3.14) x r
C = 6.28 x 10
C = 62.8 yards