Answer:
a. 7
Step-by-step explanation:
So a triangle a two sides that will always sum up to be greater than the third side.
Meaning:
a + b > c
a + c > b
b + c > a
So here, we're given a and b:
8 + 5 > c
8 + c > 5
5 + c > 8
Plug in the values:
13 > 7
15 > 5
12 > 8
These are all true, so it's probably 7.
13 > 2
10 > 5
7 > 8 This one is not true, so not 2.
13 > 13 This is not true, so not 13.
If not 13, we can't go any higher and so it can't be 15.
Answer:
Step-by-step explanation:
1). In ΔTPW and ΔGHD,
Triangles will be congruent by the properties of congruence,
1). SSS - (Sides - Side - Side) property of congruence
2). SAS - (Side - Angle - Side) property of congruence
3). ASA - (Angle - Side - Angle) property of congruence
2). ΔABE ≅ ΔMNP
∠A ≅ ∠M
∠B ≅ ∠N
∠E ≅ ∠P
Side AB ≅ Side MN
Side AE ≅ Side MP
Side BE ≅ Side NP
Another way to write the congruency statement → ΔAEB ≅ ΔMPN
3). ΔQRY ≅ ΔJLS
∠Q ≅ ∠J
∠R ≅ ∠L
∠Y ≅ ∠S
Side QR ≅ Side JL
Side RY ≅ Side LS
Side QY ≅ Side JS
Anthe way to write the congruency statement → ΔQYR ≅ ΔJSL
Answer. x>1
Explanation. when “x” is greater than one. We use the greater than symbol and use “x” as the variable.
Note that
- 12=2·2·<u>3</u>;
- 20=2·2·5;
- 36=2·2·<u>3</u>·3.
The common factors of these three numbers are 2, 2. Also numbers 12 and 36 have one more common factor <u>3</u>, then the least common multiple is
LCM(12,20,36)=2·2·<u>3</u>·5·3=180 sec=3 min (here first you write all common factors between all three numbers, then between two numbers and at last all remaining factors).
Answer: all three experiments will need to be checked after 3 minutes passed, then after 6 minutes passed, then after 9 minutes passed and so on.
