We may draw a vertical that bisects the vertex angle and the shorter side of the triangle, to form a right-triangle with the measurements:
hypotenuse = 8
length = 1.5
We may then apply:
sin(∅) = P / H
sin(∅) = 1.5 / 8
∅ = 10.8 ≈ 11°
This is half of the vertex angle, so the vertex angle is:
11 * 2 = 22°
Answer:
> 1
Step-by-step explanation:
A scale factor greater than 1 will produce an enlargement
A scale factor less than 1 will produce a reduction
Since the image is larger than the pre- image the scale factor > 1
Answer:
Step-by-step explanation:
<u><em>b).</em></u>
2x² - 9x - 5 = ( x - 5 )( 2x + 1 )
3x² - 15x = 3x ( x - 5 )
=
A. 38
Let X = seventh graders
6th graders are twice the number of 7th graders; therefore, 6th graders will be 2X.
The total number of students is 57.
2X + X = 57
3X = 57
X = 57 / 3
X = 19
IF X represents the 7th graders; there are 19 seventh graders present.
Since 6th graders are represented by 2X; Then, 2 * 19 = 38 is the number of 6th graders present.
Add both numbers to check: 19 + 38 = 57.