Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The angles 2 and 3 are corresponding angles. So it's choice C.
<em><u>Tip:</u></em> Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.
Answer:
b
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
P(getting blue marbles) = 7/9
so;
x/45 = 7/9
x = 35
so the number of blue marbles is 35
45 - 35 = 10 red marbles
hope it helps .
all the best
Answer:
Numbers are 5 , 7
Step-by-step explanation:
<h2>
Forming quadratic equation and solving:</h2>
Let the two consecutive odd numbers be (2x + 1) and (2x + 3)
Their product = 35
(2x + 1)(2x + 3) = 35
Use FOIL method.
2x*2x + 2x*3 + 1*2x + 1*3 = 35
4x² + 6x + 2x + 3 = 35
Combine like terms
4x² + 8x + 3 = 35
4x² + 8x + 3 - 35 = 0
4x² + 8x - 32 = 0
<h3>Quadratic equation: 4x² + 8x - 32 = 0</h3>
<u>Solving:</u>
4x² + 8x - 32 = 0
Divide the entire equation by 2
![\sf \dfrac{4}{2}x^2 +\dfrac{8}{2}x - \dfrac{32}{2}=0](https://tex.z-dn.net/?f=%5Csf%20%5Cdfrac%7B4%7D%7B2%7Dx%5E2%20%2B%5Cdfrac%7B8%7D%7B2%7Dx%20-%20%5Cdfrac%7B32%7D%7B2%7D%3D0)
2x² + 4x - 16 = 0
Sum = 4
Product = -32
Factors = 8 , (-4)
When we multiply 8*(-4) = -32 and when we add 8 + (-4) = 4.
Rewrite the middle term
2x² + 8x - 4x - 16 = 0
2x(x + 4) - 4(x + 4) = 0
(x + 4) (2x - 4) = 0
2x - 4 = 0 {Ignore x +4 = 0 as it gives negative number}
2x = 4
x = 4/2
x= 2
2x + 1 = 2*2 + 1 = 5
2x + 3 = 2*2 +3 = 7
The numbers are 5 , 7
Given:
The given term is 3x.
To find:
The like terms.
Solution:
Like terms are the terms which contain same variable and degree.
In the given term 3x, the variable is x and its degree is 1.
The variable in 4y is y and, 8 and 0.257 are constant. So, 4y, 8, 0.257 and 3x are not like terms.
On 10 has variable x and degree 1. So, 3x and 10x are like terms.
Therefore, the correct option is B.