If RU = TU = 56 and RS = 87, what is ST?
2 answers:
Answer:
Step-by-step explanation:
<u>Given:</u>
RU = TU
SU ⊥ TR
<u>To find:</u>
ST = ?
<u>Proof:</u>
ΔSTU ↔ ΔSRU
RU ≅ TU (Given)
∠SUT ≅ ∠SUR = 90° (Given that SU ⊥ TR)
SU ≅ SU (Common)
So, ΔSTU ≅ ΔSRU (SAS Postulate)
<u>Hence:</u>
ST ≅ RS (Corresponding sides of congruent triangles.)
So,
ST = 87 (Given that RS = 87)
Hope this helped!
<h3>~AH1807</h3>You might be interested in
Hi! I'm happy to help!
Point slope form states that y-=m(x-
). m represents your slope (rise/run) and
and
represent your first y and x points, and y and x represent your second y and x points. We already have our equation here:
y - 4 = 1/4(x- 8)
Now, let's dive into what slope-intercept form is. Slope intercept form states that y=mx+b. m represents our slope, b represents our y intercept, y represents a y point, and x represents the corresponding x point.
Since we know our m, we can solve for b, by using our other numbers. Let's use our first set of coordinates.
4=1/4(8)+b
4=2+b
2=b
Now our second set to double check:
2=1/4(0)+b
2=0+b
2=b
We know that b must equal 2, so our equation must be y=1/4x+2, which is option 3.
<u>You should pick option 3.</u>
<u>(y-intercept is where the line hits the y-axis(when x=0). We could've used our second coordinates (0,2), where x equals 0 to know that 2 is the y-intercept (b). This shortcut only works on specific problems though.)</u>
I hope this was helpful, keep learning! :D