Answer:
All angles are 113 or 67. See below for each angle measure.
Step-by-step explanation:
Parallel lines cut by a transversal have several angle relationships which can be used to find an unknown angle measure:
• Alternate Interior Angles are angles across the transversal between pairs of parallel lines. These angles are congruent. Example: 8 and 4 are congruent and are pairs of alternate interior angles. 7 and 3 are another set.
• Alternate Exterior Angles are angles across the transversal outside of the parallel lines. These angles are congruent. Example 1 & 5 are congruent alternate exterior angles. 2 and 6 are another set.
• Supplementary angles are angles which form a line and add to 180. If angle 1 + angle 2 = 180 and angle 1 = 113, then 113 + Angle 2 =180. Angle 2 must be 67 degrees.
• Vertical angles are angles across a vertex. They are congruent. Example: Angle 2 and Angle 8 are both 67.
Using these relationships, the following angles have the following measures:
Angle 1 = 113
Angle 2 = 67
Angle 3 = 113
Angle 4 = 567
Angle 5 =113
Angle 6 = 67
Angle 7 = 113
Angle 8 = 67
Answer: 405 students
Step-by-step explanation:
From the question, Banneker Middle School has 750 students and we are told that Lynn surveys a random sample of 50 students and finds that 27 have pet dogs. The number of students at the school that are likely to have pet dogs goes thus:
Since out of 50 students surveyed, 27 have pet dogs, this means we multiply the fraction by 750. This can be mathematically written as:
= 27/50 × 750
= 27 × 15
= 405
This means 405 students are expecting to have pet dogs.
The area of the trapezoid can be calculated through the equation,
A = (b₁ + b₂)h / 2
where b₁ and b₂ are the bases and h is the height. Substituting the known values from the given,
A = (25mm + 32mm)(15 mm) / 2
A = 427.5 mm²
Since there are two trapezoids in the necklace, the area calculated is to be multiplied by two to get the total area.
total area = (427.5 mm²)(2)
<em>total area = 855 mm²</em>
Answer: = 32
Step-by-step explanation:
40 x 80 / 100 = 32
Answer:
44 or 45
Step-by-step explanation:
400 divided by nine