Answer:
240 students
Step-by-step explanation:
Grade 7 : Grade 8 = 5 : 3
Number of seventh grade students = 5x
Number of Eighth grade students = 3x
3x = 90
x = 90÷3
x = 30
Total students = 5x + 3x = 8x = 8 * 30 = 240
The slant height, x, is 7.5 mm because you use the pythagorean formula and solve for c, since the you're solving for the hypotenuse which is the longest side.
The answer is that she had 48. Set it up as an equation with x as the amount of money she started with. x - 30 = 3/8x. That says, in words, "the amount of money she started with minus 30 for the dress left her with 3/8 of the money she started with. Solve for x by adding 30 to both sides and subtracting 3/8 from 8/8x (8/8 = 1). 8/8 - 3/8 = 5/8, so 5/8x = 30, multiply both sides by 8 to get 5x=240 and x = 48.
The blanks in this two-column proof should be filled as follows:
<u>Statements Reasons</u>_______________
m∠1 = m∠3 Given
m∠CBA = m∠ABE + m∠CBD Angle Addition Postulate
m∠ABE = m∠3 + m∠2 Substitution Property of Equality
m∠CBD = m∠3 + m∠2 Substitution Property of Equality
m∠ABE ≅ m∠CBD Transitive Property of Equality
<h3>What is the Angle Addition Postulate?</h3>
In Mathematics, the Angle Addition Postulate states that the measure of an angle formed by two (2) angles that are placed side by side to each other is equal to the sum of the measures of the two (2) angles.
This ultimately implies that, the Angle Addition Postulate can be used to determine the measurement of a missing angle in a geometric figure or it can be used for calculating an angle that is formed by two (2) or more angles such as m∠CBA = m∠ABE + m∠CBD.
Read more on Angle Addition Postulate here: brainly.com/question/24746945
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Hello,
Answer A is the only finite set.