By applying Cathetus theorem, the value of x is equal to 10 units.
<h3>How to determine the value of x?</h3>
In order to determine the value of x, we would apply Cathetus theorem (leg rule), which states that each leg of a right-angled triangle is the geometric mean that's directly proportional between the hypotenuse and the part of the hypotenuse that's directly below the leg.
In this context, we have:
x² = m × a
x² = (21 + 4) × 4
x² = 25 × 4
x² = 100
x = √100
x = 10 units.
Read more on Cathetus theorem here: brainly.com/question/11357448
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<h3>Answer:</h3>
- ABDC = 6 in²
- AABD = 8 in²
- AABC = 14 in²
<h3>Explanation:</h3>
A diagram can be helpful.
When triangles have the same altitude, their areas are proportional to their base lengths.
The altitude from D to line BC is the same for triangles BDC and EDC. The base lengths of these triangles have the ratio ...
... BC : EC = (1+5) : 5 = 6 : 5
so ABDC will be 6/5 times AEDC.
... ABDC = (6/5)×(5 in²)
... ABDC = 6 in²
_____
The altitude from B to line AC is the same for triangles BDC and BDA, so their areas are proportional to their base lengths. That is ...
... AABD : ABDC = AD : DC = 4 : 3
so AABD will be 4/3 times ABDC.
... AABD = (4/3)×(6 in²)
... AABD = 8 in²
_____
Of course, AABC is the sum of the areas of the triangles that make it up:
... AABC = AABD + ABDC = 8 in² + 6 in²
... AABC = 14 in²
Answer:
The correct answer to the following question will be "0.438".
Step-by-step explanation:
Just because Mrs. Gomes finds around 40% of students in herself high school are studying chemistry.
Although each student becomes independent of one another, we may conclude:
"x" number of the students taking chemistry seems to be binomial to p = constant probability = 0.40
Given:
Number of surveys
= 12
Exactly 4 students have taken chemistry:



On substituting the above equation, we get the probability of approximately "0.438".
So that the above would be the appropriate answer.
50.24 square inches. If the diameter is 8in, then the radius must be half the diameter, or 4. You can just plug 4 into the formula for the area of a circle [A=pi*radius^2]. When you multiply 3.14 by 4^2, you get 50.24 square inches.
The remainder is non-zero, so
is not a factor of
(or whatever the given polynomial is supposed to be)