Answer: SAS similarity Theorem.
Explanation:
1) SAS stands for Side-Angle-Side
2) SAS Theorem postulates that when two sides of a triangle are proportional to two sides of other triangle and one angle of one triangle is congruent to one angle of other triangle then the two triangles are similar.
3) In this case you can verify the SAS theorem and conclude that the triangles are similar by:
3.1) proportionality of sides:
6 3
--- = ----
4 2
3.2) angle congruency
at point M the angles are opposite by the vertex, which means that the angles are congruent.
So, you have shown that the two triangles are similar in virtue of SAS Theorem.
Answer:
x is 5
Step-by-step explanation:
First we should write the equation like slope point form (y=mx+b)
3y-4x+5=0
3y=4x-5
y=4/3x-5/3
Slope is 4/3
Hope it helps
Please give brainliest
Answer:
624.5 feet
Step-by-step explanation:
Calculation to determine how many feet from the boat is the parasailor
Based on the information given we would make use of Pythagorean theorem to determine how many feet from the boat is the parasailor using this formula
a²+b²=c²
First step is to plug in the formula by substituting the given value
500²+b²=800²
Second step is to evaluate the exponent
250,000+b²=640,000
Third step is to substract 250,000 from both side and simplify
250,000+b²-250,000=640,000-250,000
b²=390,000
Now let determine how many feet from the boat is the parasailor
Parasailor feet=√b²
Parasailor feet=√390,000
Parasailor feet=b=624.49
Parasailor feet=b=624.5 feet (Approximately)
Therefore how many feet from the boat is the parasailor will be 624.5 feet
Answer:
135
Step-by-step explanation:
x×1=45×3
cross multiply
x=135