Answer:
Angle PQW is equal to 35 degrees
Step-by-step explanation:
Angle PQW = 36x - 1
Angle WQR = 134x
Angle PQR = 169 degrees
To find angle PQW, Set Angles PQR and WQR to PQW. The equation should look like this:
PQR - WQR = PQW
Substitute in the values
169 - 134x = 36x - 1
Now add 134x to both sides and add 1 to both sides.
170 = 170x
Now divide 170 from both sides
x = 1
Plug x into angle PQW
36(1) - 1 = 35
Answer:
Option B is right answer.
Step-by-step explanation:
Yes, it is true hat the rectangle EFGH is a result of dilation of rectangle ABCD with a center of dilation at the origin.
Also according to the given image, we can see that the scale factor of the dilation is greater than one as the new image is bigger than the pre-image.
Also, we can see is that ∠A=∠B=∠C=∠D=∠E=∠F=∠G=∠H=90°
So, we can say that option B is true - Yes, because both figures are rectangles and all rectangles are similar.
Answer:
3 positions to the right.
Step-by-step explanation:
1000 * 6.093
= 6093.
Full question:
Heng was trying to factor 10x²+5x. She found that the greatest common factor of these terms was 5x and made an area model: What is the width of Heng's area model?
Answer:
The width of the area model is 2x + 1
Step-by-step explanation:
Given
Expression: 10x² + 5x
Factor: 5x
Required
Width of the Area Model
To solve this, I'll assume the area model is Length * Width
Provided that we're to solve for the width of the model.
This implies that; Length = 5x
Area = Length * Width
And
Area = 10x² + 5x
Equate these two
Length * Width = 10x² + 5x
Factorize express on the right hand side
Length * Width = 5x(2x + 1)
Substitute 5x for Length
5x * Width = 5x(2x + 1)
Divide both sides by 5x
Width = 2x + 1
Hence, the width of the area model is 2x + 1
