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Julli [10]
2 years ago
6

If two lines are parallel, then the alternate exterior angles are ______.

Mathematics
2 answers:
Yanka [14]2 years ago
5 0
If two lines are parallel, then the alternate exterior angles will always be congruent.
zloy xaker [14]2 years ago
4 0
Congruent because the lines are parralel
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The event coordinator asks you to determine how many students participated in the track-and-field day. The total number of stude
kakasveta [241]
584 is the total number of students in the school.

5/8 are in seventh grade and 3/8 are in eighth grade.

4/5 of the seventh graders participated in the track meet, so there were (4/5 · 5/8) · 584 students in the seventh grade participating in the track meet.

7/8 of the eighth graders participated, so there were (7/8 · 3/8) · 584 students in the eighth grade participating in the track meet.

So, all together, there were

(4/5 · 5/8) · 584 + (7/8 · 3/8) · 584 students from the school in the track meet.

Let's simplify as you asked:

(4/5 · 5/8) · 584 + (7/8 · 3/8) · 584 = [(4/5 · 5/8) + (7/8 · 3/8)] · 584 (distributive property - factoring)

= [20/40 + 21/64] · 584 (multiply fractions)

= (1/2 + 21/64) 584 (reduce the first fraction to lowest terms)

= (32/64 + 21/64) 584 (getting a common denominator)

= (53/64) 584 (combine/add the two fractions)

= 483.625 (multiply together)

All together, there were: 483.625 students in the meet.
8 0
3 years ago
What is the answer to<br> 56 is 28% of
klio [65]
In mathematics, 'is' would be the equal sign. And 'of' would be the multiplcation sign. The missing number would be any variable.

56 is 28% of a number would be translated algebraically to:

56 = \frac{28}{100} \times x

Solving for x, we get:

56 = \frac{28}{100} \times x

Divide 28 on both sides

2 = \frac{x}{100}

Multiply 100 on both sides

x = 200

56 is 28% of 200
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