A frog sitting on a stump 4 feet high hops off and lands on the ground. During her leap, the frog's height h in feet is given by
1 answer:
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Answer:
5.5 yards.
Step-by-step explanation:
We have been given that Mimi needs eleven 18-inch pieces of rhinestone ribbon. She purchased 5 yards of the ribbon. We are asked to find the total amount of ribbon that Mimi needs.
First of all, we will multiply 11 by 18 to find amount of ribbon needed in inches as:
We know that 1 yard equal to 36 inches. To convert 198 inches into yards, we will divide 198 by 36 as:
Therefore, the total amount of ribbon that Mimi needs is 5.5 yards.
From the chord theorem we know that:
so:
Answer C.
For a two column proof, we want to start with the given information. From there, we will use various definitions, postulates, and theorems to fill in the rest.
Our two sets of given information are that Plane <em>M </em>bisects Line <em>AB </em>and that Line <em>PA</em> is congruent to Line <em>PB</em>.
We know from the definition of a bisector that it splits a line in two equal parts. Therefore, Line <em>AO</em> must be congruent to Line <em>BO</em>.
Now, we have two sides of a triangle that we have proved to be congruent to each other. From the image given in the original problem, we see that both triangles share Line <em>OP. </em>Line <em>OP</em> is congruent to Line <em>OP</em> through the reflexive property.
We now have proven that all three sides of the one triangle are congruent to the corresponding sides on the other triangle. Therefore, the triangles are congruent through the SSS theorem.
Our two sets of given information are that Plane <em>M </em>bisects Line <em>AB </em>and that Line <em>PA</em> is congruent to Line <em>PB</em>.
We know from the definition of a bisector that it splits a line in two equal parts. Therefore, Line <em>AO</em> must be congruent to Line <em>BO</em>.
Now, we have two sides of a triangle that we have proved to be congruent to each other. From the image given in the original problem, we see that both triangles share Line <em>OP. </em>Line <em>OP</em> is congruent to Line <em>OP</em> through the reflexive property.
We now have proven that all three sides of the one triangle are congruent to the corresponding sides on the other triangle. Therefore, the triangles are congruent through the SSS theorem.