Answer:
The length of the diagonal is closest to 51 cm.
Step-by-step explanation:
Given:
TV screen is 41 cm long and 31 cm high.
Now, to find the length of the diagonal.
By using pythagorean theorem:
leg 1 = 41 cm, leg 2 = 31 cm.
Let the hypotenuse be 
.
(leg 1)² + (leg 2)² = hypotenuse²
⇒
⇒
<em>Using square root on both sides we get:</em>
⇒
<u><em>So, the length of the diagonal = 51.40 cm. </em></u>
<u><em>By rounding off of 51.40cm it becomes 51 cm.</em></u>
Therefore, the length of the diagonal is closest to 51 cm.
Answer -
Step-by-step explanation:
Answer:
-18.75 is a rational number. A rational number is any number that has either a repeating decimal or one that ends. It doesn’t no go on, so it is considered rational. Hopefully this helps! Feel free to mark brainliest!
Answer:
0.8p or p - 0.2p
Step-by-step explanation:
You can find the price for any house minus the down payment by writing an expression with a variable. Let p be the price of the house. If you pay 20% then the price will be lowered by 20%. You will pay as your mortgage 80% of the price. You can write it as either the expression 0.8p or p - 0.2p.
Answer:
See explanation
Step-by-step explanation:
If 
then triangle PXY is isosceles triangle. Angles adjacent to the base XY of an isosceles triangle PXY are congruent, so
and
Angles 1 and 3 are supplementary, so
Angles 2 and 4 are supplementary, so
By substitution property,
Hence,
Consider triangles APX and BPY. In these triangles:
- given;
- given;- - proven,
so 
by ASA postulate.
Congruent triangles have congruent corresponding sides, then
Therefore, triangle APB is isosceles triangle (by definition).
