I'll use t for the messages Teresa sent, e for messages Eric sent, and r for messages Ryan sent.
Therefore we have, t+e+r=99.
From the text we also know:
e=3r ; r=t+6
If we substitute in the original equation we get:
t+3(t+6)+t+6=99; By simplifying it we get
5t=75 , therefore t=75/5=15.
Since Teresa send 15 messages,Ryan sent 6 more then here, so he send 21. Eric sent three times the
messages Ryan sent so he sent 63 messages. If we add them together 15+21+63, we get the total of 99 messages.
A statement that follows with little or no proof required from an already proven statement. For example, it is a theorem<span> in geometry that the angles opposite two congruent sides of a triangle are also congruent. A </span>corollary<span> to that statement is that an equilateral triangle is also equiangular</span>
Answer:
30 miles²
Step-by-step explanation:
To solve the area of the prism we have to multiply the area of the base * the height of the prism. The base of the prism is a right triangle.
<em>(b*h)÷2 = Area of a triangle</em>
<em />
<em>Base = 4</em>
<em>Height = 3</em>
<em>Now:</em>
<em>(4*3)/2 = 6 miles²</em>
<em />
<em>Now we have to multiply 6 miles² by 5 as our height.</em>
<em />
<em>We get 30 miles² as the volume of the figure.</em>
These are vertical angles so they are equal so
6a + 11 = 2a + 83
now solve for a