The theorems that matches each respective description are:
- Vertical Angles Theorem - 1
- Triangle Sum Theorem - 2
- Corresponding Angles Postulate - 5
- Same-Side Interior Angles Theorem - 8
- Isosceles Triangle Theorem - 3
- Alternate Exterior Angles Theorem - 7
- Triangle Midsegment Theorem - 4
- Alternate Interior Angles Theorem - 6
<h3>What is the Vertical Angles Theorem?</h3>
- This theorem states that a pair of vertical angles that are formed will always be congruent.
- Number 1 description matches this theorem.
<h3>What is the Triangle Sum Theorem?</h3>
- This states that all three interior angles of a triangle equals 180 degrees.
- Number 2 description matches this theorem.
<h3>What is the Corresponding Angles Postulate?</h3>
- This states that the corresponding angles formed, when a transversal cuts two parallel lines, are congruent.
- Number 5 description matches this theorem.
<h3>What is the Same-Side Interior Angles Theorem?</h3>
- This states that the same-side interior angles formed, when a transversal cuts two parallel lines, are congruent.
- Number 8 description matches this theorem.
<h3>What is the Isosceles Triangle Theorem?</h3>
- This states that the the two equal sides of an isosceles triangle are directly opposite the two congruent angles of the triangle.
- Number 3 description matches this theorem.
<h3>What is the Alternate Exterior Angles Theorem?</h3>
- This states that the alternate exterior angles formed, when a transversal cuts two parallel lines, are congruent.
- Number 7 description matches this theorem.
<h3>What is the Triangle Midsegment Theorem?</h3>
- This states that the midsegment of a triangle is always half the length of the third side it is parallel to.
- Number 4 description matches this theorem.
<h3>What is the Alternate Interior Angles Theorem?</h3>
- This states that the alternate interior angles formed, when a transversal cuts two parallel lines, are congruent.
- Number 6 description matches this theorem.
Learn more about Angles Theorem on:
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Answer:
Number of ovens must be manufactured in a given week to generate a profit of $1610 is 70
Step-by-step explanation:
We are given
A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given by the formula
provided that 0 ≤ x ≤ 200
We are given
profit is $1610
so, we can set P=1610
and then we can solve for x
Multiply both sides by 10
now, we can factor it
we can solve for x
and we get
Since, x=230 does not lie on 0 ≤ x ≤ 200
So, we will consider only x=70
So,
Number of ovens must be manufactured in a given week to generate a profit of $1610 is 70
Answer:
you can get 6 blue paper and 3 gold paper
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
25% = 0.25
200 * 0.25 = 50
Best of Luck!
