Answer:
1. 8.4 2. 15
Step-by-step explanation:
1. 4x + 8y = 40
when y = 0.8
4x + 8 × 0.8 = 40
4x = 40 - 8 × 0.8
4x = 40 - 6.4 = 33.6
....x = 33.6 / 4 = 8.4
2. 3a + b = 54
when b = 9
3a + 9 = 54
3a = 54 - 9
3a = 45
.....a = 45 / 3 = 15
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Answer:
Angle x = angle 115°.
Step-by-step explanation:
Given: We have two parallel lines intersected by a transversal.
To find: The value of x.
Solution: Since two parallel lines are intersected by a transversal, corresponding angles, which are a pair lying on the same side of the transversal—one being on the interior and the other on the exterior—are equal.
Thus, angle x = angle 115, being corresponding angles.
Therefore, angle x = angle 115.
you are right. it is skewed to the left because the peak has more dots on that side.
Answer:
A. △ABC ~ △DEC
B. ∠B ≅ ∠E
D. 3DE = 2AB
Step-by-step explanation:
Transformation includes modifying the shape or size of a figure, using techniques such as reflection, dilation, rotation, and translation.
In this scenario, triangle ABC undergoes reflection and dilation to create triangle DEC. Each side of triangle DEC measures two-thirds the length of its corresponding side in triangle ABC. Thus, the following statements about the triangles are true:
i. △ABC ~ △DEC
ii. ∠B ≅ ∠E
iii. 3DE = 2AB