Answer:
-12.75
Step-by-step explanation:
Find the product of 51 and -2.5. Use the distributive property to rewrite and solve.
The next step using Distributive property is to expand the brackets
5.1 × 2.5
Step 1: Distributive property
51(-2.0) + 51(-0.5)
Step 2: Expand the brackets
-10.2 + -2.55
Step 3
- 12.75
<u>Solution-</u>
Given that,
In the parallelogram PQRS has PQ=RS=8 cm and diagonal QS= 10 cm.
Then considering ΔPQT and ΔSTF,
1- ∠FTS ≅ ∠PTQ ( ∵ These two are vertical angles)
2- ∠TFS ≅ ∠TPQ ( ∵ These two are alternate interior angles)
3- ∠TSF ≅ ∠TQP ( ∵ These two are also alternate interior angles)
<em>If the corresponding angles of two triangles are congruent, then they are said to be similar and the corresponding sides are in proportion.</em>
∴ ΔFTS ∼ ΔPTQ, so corresponding side lengths are in proportion.

As QS = TQ + TS = 10 (given)
If TS is x, then TQ will be 10-x. Then putting these values in the equation



∴ So TS = 3.85 cm and TQ is 10-3.85 = 6.15 cm
The given statement is true.
Step-by-step explanation:
Given sets are:
D = {x|x is a whole number}
E = {x|x is a perfect square between 1 and 9}
F = {x|x is an even number greater than or equal to 2 and less than 9}
as the sets are given in set builder notation,, we will first write the sets in set notation.
So,
D = {0,1,2,3,4,...}
E = {4,9}
F = {2,4,6,8}
Now,
EUF = {4,9} U {2,4,6,8}
= {2,4,6,8}
Hence,
The given statement is true.
Keywords: Union,sets
Learn more about sets at:
#LearnwithBrainly
Answer:
a
Step-by-step explanation:
Answer:
600 centimeters. 1 meter is equal to 100 centimeters