The pythagorean theorem states that the sum of the squares of two legs of a right triangle is equivalent to the hypotenuse.
So:
35^2 + b^2 = 40^2
1225 + b^2 = 1600
b^2 = 375
b = 
b = 19.3649
<u>The missing side's length rounded to the nearest tenth is Option C, 19.4</u>
Answer:
Step-by-step explanation:
In ΔJOY and ΔLAF,
If ∠O ≅ ∠J
And 
Then ΔJOY ~ ΔLAF
By SAS property of similarity of two triangles.
(If two corresponding sides of the triangles are proportional and angles between these sides are equal)
Answer:
<h3>Q1</h3>
<u>Use slope formula</u>
- m = (y2 - y1)/(x2 - x1)
- m = (-2 - 6)/(3 - 7) = -8 / -4 = 2
- m = 2
<h3>Q2</h3>
Angles 2 and 6 are on the corresponding sides of the parallel lines, hence are corresponding angle
<u>Correct option is </u>
<h3>Q3</h3>
Congruent triangles have congruent corresponding parts
- ΔABC ≅ Δ GHI
- AB≅GH
- AB = GH = 13
<u>Correct choice is</u>
<h3>Q4</h3>
Option b is correct for any line and doesn't make the lines parallel. The rest of the options are correct for parallel lines.
<u>Correct option is the last one:</u>
Answer:
In order to begin figuring that out, we need to know about the equation.
Area of 1 exam room = 10 ft. × 10 ft. = 100 ft.²
Area of 10 exam room = 100 ft.² × 10 = 1000 ft.²
Area of waiting room = 20 ft. × 15 ft. = 300 ft.²
Area of office area = 25 ft. × 20 ft. = 500 ft.²
Now,
Total area of the hospital to be replaced = 1000 ft.² + 300 ft.² + 500 ft.² = 1800 ft.²