Answer: 28 feet.
Step-by-step explanation:
Given: During the winter months, freshwater fish sense the water getting colder and swim to the bottom of lakes and rivers to find warmer water.
The total depth of the lake = 32 feet
Since, fish swims 7/8 of the depth, then the depth of lake to which the fish swim=
Since,
therefore,
Hence, the fish swim 28 feet in lake.
The correct pair is option E, which is:
FH ≅ FH - reflexive property
ΔGFH ≅ ΔEFH - SAS theorem
<h3>What is the SAS Congruence Theorem?</h3>The SAS theorems states that two triangles are congruent if they have two pairs of congruent sides and a pair of congruent included angles.
<h3>What is the Reflexive Property?</h3>The reflexive property of geometry states that an angle or line will always be congruent to itself.
In the two column-proof, since FH = FH using the reflexive property, then both triangles are congruent to each other by the SAS congruence theorem.
The missing pair of reasons that completes the proof are:
FH ≅ FH - reflexive property
ΔGFH ≅ ΔEFH - SAS theorem
Learn more about the SAS theorem on:
#SPJ1
The value of t is:
t=48.8889
<h2>Step-by-step explanation:</h2>We are asked to solve the linear equation in terms of variable t.
The equation is given by:
Firstly we will solve the parentheses term in the left and right hand side of the equality as follows:
Now we combine the like terms on the left side of equality by:
Now we subtract both side of the equation by 5 to get:
Now on dividing both side of the equation by 0.90 we get:
Hence, the value of t is: 48.8889