Answer:
Step-by-step explanation:
Given: ∠PTQ ≅ ∠STR and TP, TQ, TR and TS are radii of the circle.
If two angle are equal, then they are equal in size and their measurements are equal.
IF ∠PTQ ≅ ∠STR then they are also equal in their measurements.
Now, In ΔPTQ and ΔSTR
∠PTQ ≅ ∠STR (vertically opposite angle)
(Radius of the circle are equal and congruent in length)
(Radius of the circle)
∴ ΔPTQ ≅ ΔSTR (SAS postulate)
∴ 
(corresponding sides of congruent triangle are equal and congruent).
Answer:
y=−x+573, x+y=573
Step-by-step explanation:
Answer:
Option B. 60300
Step-by-step explanation:
The given expression 
represents an arithmetic sequence. [3, 6, 9, 12,..............]
In this sequence first term a = 3
common difference d = 3
and number of terms n = 200
We have to find the sum of first 200 terms of this sequence.
Formula of the sum of an arithmetic sequence is ![=\frac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Now we put the values in the formula
![\sum_{n=1}^{200}(3n)=\frac{200}{2}[2(3)+(200-1)(3)]](https://tex.z-dn.net/?f=%5Csum_%7Bn%3D1%7D%5E%7B200%7D%283n%29%3D%5Cfrac%7B200%7D%7B2%7D%5B2%283%29%2B%28200-1%29%283%29%5D)
= ![100[6+(199)(3)]=100[6+597]](https://tex.z-dn.net/?f=100%5B6%2B%28199%29%283%29%5D%3D100%5B6%2B597%5D)
= 
= 60300
Therefore option B. 60300 is the answer.
Well, to figure this out, you would have to divide 28 by 4, since there are four sections. That is 7. 7 divided by 2 is 3.5, so you would have completed 3.5 feet of the fence.
Answer is 9x - 4
<u>Step-by-step explanation:</u>
Step 1:
Divide 18x² - 8x by 2x. Divide each term in the numerator by the denominator.
⇒ 18x² - 8x/2x
= 18x²/2x - 8x/2x
= 9x - 4
