Answer:
(7 , 5)
Step-by-step explanation:
Add all the x-axis then divide by 3
7 + 3 + 11 = 21
21/3 = 7
Add all the y-axis then divide by 3
9 + 3 + 3 = 15
15/3 = 5
So answer will be (7,5)
Answer:
<u>TO FIND :-</u>
- Length of all missing sides.
<u>FORMULAES TO KNOW BEFORE SOLVING :-</u>
<u>SOLUTION :-</u>
1) θ = 16°
Length of side opposite to θ = 7
Hypotenuse = x
≈ 25.3
2) θ = 29°
Length of side opposite to θ = 6
Hypotenuse = x
≈ 12.3
3) θ = 30°
Length of side opposite to θ = x
Hypotenuse = 11
4) θ = 43°
Length of side adjacent to θ = x
Hypotenuse = 12
≈ 8.8
5) θ = 55°
Length of side adjacent to θ = x
Hypotenuse = 6
≈ 3.4
6) θ = 73°
Length of side adjacent to θ = 8
Hypotenuse = x
≈ 27.3
7) θ = 69°
Length of side opposite to θ = 12
Length of side adjacent to θ = x
≈ 4.6
8) θ = 20°
Length of side opposite to θ = 11
Length of side adjacent to θ = x
≈ 30.2
Step-by-step explanation:
<h2><u>➤ </u><u>Solution :-</u></h2><h2>a)</h2>
Given monomials are 21 xy³ and 24x²y²
21 xy³ = 3×7×x×y×y×y
24x²y² = 3×8×x×x×y×y
HCF of 21xy³ and 24x²y²
=> 3×x×y×y
=> 3xy²
HCF of 21xy³ and 24x²y² = 3xy²
<h2>b)</h2>
Given monomials are 18 ab and 36abc
18 ab = 18×a×b
36abc = 2×18×a×b×c
HCF of 18 ab and 36abc
=> 18×a×b
=> 18ab
HCF of 18 ab and 36abc = 18ab
<h2>c)</h2>
Given monomials are 4p³q²r , -12pqr² and 16p²q²r²
4p³q²r = 4×p×p×p×q×q×r
-12pqr² = -3×4×p×q×r×r
16p²q²r² = 4×4×p×p×q×q×r×r
HCF of 4p³q²r , -12pqr² and 16p²q²r²
=> 4×p×q×r
=> 4pqr
HCF of 4p³q²r , -12pqr² and 16p²q²r² = 4pqr
<h2><u>Used Concept :-</u></h2>
→ The HCF of two or more numbers is the highest Common factor
→ The product of least common factors is the HCF of the numbers
1st part: you do 180 - 110 = 70
Why you subtract 180 from 110 is linear adds up to 180, so 70 + 110 would get 180 if that makes sense.
2nd part: 180 - 115 = 65
This is similar concept to what I explained with the first part.
3rd part: Triangle sum theorem is 180
4th part: To get angle 7 I believe you just subtract
180 - 70 - 65 = 45
5th part: 7 and 6 I believe are vertical angles and vertical angles are congruent which would make 6 = 7
6 would also = 45
Although I cannot see the options for each of the question(s) choices, I hope this can help you. :)
Answer:
Step-by-step explanation:
8x - 16 = 40
8x = 56
x = 7
I hope I helped you.
