All categories

3 years ago

Can you please help me

Mathematics

2 answers:

STALIN [3.7K]3 years ago

7 0

Answer:

5. 69 degrees

6. 115 degrees

7. 118 degrees

8. 108 degrees

9. 66 degrees

10. 86 degrees

Step-by-step explanation:

Archy [21]3 years ago

5 0

Step-by-step explanation:

5) angle 5 = 69°

than, angle 10 = 69° ( alternate interior angle )

6) angle 6 = 115° ( alternate interior angle )

7) angle 7 = 118° ( alternate interior angle )

8) angle 11 = angle 4 - 180

→ 72 - 180 = 108°

therefore, angle 11 = 108°

9) angle 14 = 114° - 180

→ angle 14 = 66°

10) angle 12 = 86° ( alternate interior angle)

hope this answer helps you dear...take care!

You might be interested in

The perimeter of a rectangle is 46 in and the diagonal is 17 in. Find the area of the rectangle.

OlgaM077 [116]

P=2*(L+l)=46
L+l=46:2
L+l=23
(L+l)^2=529
(L^2+l^2)+2l*L=529

D= V L^2+l^2= 17
L^2+l^2=289

so 289+2l*L=529
2l*L=529-289=240
l*L=240:2
A=120

5 0

3 years ago

How do i find the greatest common factor of two numbers

melamori03 [73]

Answer:

1)you find the least prime factors of each number

2)Multiply those factors both numbers have in common. If there are no common prime factors, the GCF is 1

5 0

3 years ago

Trevor is painting a mural on a 1-square-meter section of a wall. He has completed a rectangular part of the mural that is 34 me

goblinko [34]

Hmm i think it’s about 21 this doesn’t help at all btw don’t use this i just need some points fam

7 0

3 years ago

Simplify, 5(2x + 3y) - 4(3x - 5y)

borishaifa [10]

5(2x + 3y) - 4(3x - 5y)

5(2x) + 5(3y) - 4(3x) + 4(5y)

(10x + 15y) + (-12x + 20y)

(10x - 12x) + (15y + 20y)

-2x + 35y

5 0

4 years ago

Determine all prime numbers a, b and c for which the expression a ^ 2 + b ^ 2 + c ^ 2 - 1 is a perfect square .

kogti [31]

Answer:

The family of all prime numbers such that $a^{2} + b^{2} + c^{2} -1$ is a perfect square is represented by the following solution:

$a$ is an arbitrary prime number. (1)

$b = \sqrt{1 + 2\cdot a \cdot c}$ (2)

$c$ is another arbitrary prime number. (3)

Step-by-step explanation:

From Algebra we know that a second order polynomial is a perfect square if and only if $(x+y)^{2} = x^{2} + 2\cdot x\cdot y + y^{2}$ . From statement, we must fulfill the following identity:

$a^{2} + b^{2} + c^{2} - 1 = x^{2} + 2\cdot x\cdot y + y^{2}$

By Associative and Commutative properties, we can reorganize the expression as follows:

$a^{2} + (b^{2}-1) + c^{2} = x^{2} + 2\cdot x \cdot y + y^{2}$ (1)

Then, we have the following system of equations:

$x = a$ (2)

$(b^{2}-1) = 2\cdot x\cdot y$ (3)

$y = c$ (4)

By (2) and (4) in (3), we have the following expression:

$(b^{2} - 1) = 2\cdot a \cdot c$

$b^{2} = 1 + 2\cdot a \cdot c$

$b = \sqrt{1 + 2\cdot a\cdot c}$

From Number Theory, we remember that a number is prime if and only if is divisible both by 1 and by itself. Then, $a, b, c > 1$ . If $a$ , $b$ and $c$ are prime numbers, then $2\cdot a\cdot c$ must be an even composite number, which means that $a$ and $c$ can be either both odd numbers or a even number and a odd number. In the family of prime numbers, the only even number is 2.