Answer:
(2)
Step-by-step explanation:
One property of a parallelogram is
• opposite angles are congruent, hence
∠L = ∠N and ∠M = ∠P
Using ∠L = ∠N, then
8x - 41 = 6x + 3 ( subtract 6x from both sides )
2x - 41 = 3 ( add 41 to both sides )
2x = 44 ( divide both sides by 2 )
x = 22
-------------
∠M = 2x + 1 = (2 × 22) + 1 = 44 + 1 = 45°
∠P = ∠M = 45° → (2)
Answer:
she read 165 words per minute
Step-by-step explanation:
if you tell us that Gillian read 3135 words in 19 minutes we can represent it as follows
19 m = 3135w
so now we have to find out how much I read in 1 minute, for this we have to divide both parts of equality by 19
19m = 3135w
19m/19 = 3135w/19
1m = 165w
she read 165 words per minute
This is about understanding rigid transformations.
<u><em>Option 4 is not a rigid transformation.</em></u>
- In mathematics, transformation could be;
Rigid Transformation; This includes reflection, rotation, translation.
Non - Rigid Transformation; This includes dilation and shear.
- Now, a transformation is said to be a rigid transformation when the newly transformed image retains the same shape and size as it was before it was transformed. Although it can change position.
Whereas, it is termed non - rigid transformation if the shape or size changes.
Let us look at the triangles in the option;
- Option 1; In this option, we see that the two triangles maintain the same shape and size and thus the transformation is rigid.
- Option 2; In this option, we see that the two triangles maintain the same shape and size and thus the transformation is rigid.
- Option 3; Similar to options 1 & 2, we see that the two triangles maintain the same shape and size and thus the transformation is rigid.
- Option 4; We see that one of the triangles is bigger than the other. Since the transformed triangle is not the same size as it was before transformation, then it is not a rigid transformation.
Read more at; brainly.com/question/16979384
Answer:
$150 = 4 hours,
So, in a ratio, 4 : 150
=> 150 * 4.5 : 4 * 4.5
=> 675 : 18 hours
Therefore to earn $675 at the rate of $150 for 4 hours, Fatima will need to work for 18 hours to earn $675
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