To solve for the missing steps, let's rewrite first the problem.
Given:
In a plane, line m is perpendicular to line t or m⟂t
line n is perpendicular to line t or n⟂t
Required:
Prove that line m and n are parallel lines
Solution:
We know that line t is the transversal of the lines m and n.
With reference to the figure above,
∠ 2 and ∠ 6 are right angles by definition of <u>perpendicular lines</u>. This states that if two lines are perpendicular with each other, they intersect at right angles.
So ∠ 2 ≅ ∠ 6. Since <u>corresponding</u> angles are congruent.
Therefore, line m and line n are parallel lines.
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<em>ANSWERS: perpendicular lines, corresponding</em>
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The worth of the bond is $307.50.
<h3>What is the worth of the bond?</h3>
The worth of the bond is the sum of the bond when it was bought and the interest earned on the bond.
Worth of the bond = interest rate + value when the bond was bought
Interest = 105% x $150
1.05 x $150 = $157.70
Worth of the bond = $157.70 + $150 = $307.50
To learn more about interest, please check: brainly.com/question/26164549
On Monday she made 50 throws.
On Tuesday she made 56 throws.
a) The increase is just how much more she made the next day.
56 - 50 = 6
She had an increase of 6 free throws.
b) To find the percent increase, all you do is divide the two numbers.
56/50 = 1.12
To change that into a percentage, either multiply it by 100 or move the decimal point two places to the right.
1.12 × 100 = 112
She had a 112% increase in her free throws.
The answer is:
D. 6; 112%
5x - 15 = 50
Add 15 to both sides
5x = 65
Divide both sides by 5
x = 13
Hope this helped :)
The factorization of the numbers is obtained as
(a) 36 = 2² x 3²,
(b) 60 = 2² x 3 x 5,
(c) 84 = 2² x 3 x 7,
(d) 99 = 3² x 11 and
(d) 180 = 2² x 3² x 5
<h3>Factor of the numbers</h3>
To factorize the numbers we use their factors as show below;
<h3>Factors of 36</h3>
36 = 2² x 3²
<h3>Factors of 60</h3>
60 = 2² x 3 x 5
<h3>Factors of 84</h3>
84 = 2² x 3 x 7
<h3>Factors of 99</h3>
99 = 3² x 11
<h3>Factors of 180</h3>
180 = 2² x 3² x 5
Thus, the factorization of the numbers is obtained as 36 = 2² x 3², 60 = 2² x 3 x 5, 84 = 2² x 3 x 7, 99 = 3² x 11 and 180 = 2² x 3² x 5.
Learn more about factorization here: brainly.com/question/25829061
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