C, 51 because acute angles are less than 90° but together the angles create a right triangle which is 90°.
The length of the line segment BC is 31.2 units.
<h2>Given that</h2>
Triangle ABC is shown.
Angle ABC is a right angle.
An altitude is drawn from point B to point D on side AC to form a right angle.
The length of AD is 5 and the length of BD is 12.
<h3>We have to determine</h3>
What is the length of Line segment BC?
<h3>According to the question</h3>
The altitude of the triangle is given by;
Where x is DC and y is 5 units.
Then,
The length DC is.
Squaring on both sides
Considering right triangle BDC, use the Pythagorean theorem to find BC:
Hence, the length of the line segment BC is 31.2 units.
To know more about Pythagoras Theorem click the link given below.
brainly.com/question/26252222
Answer:
45
Step-by-step explanation:
Since this is only three terms
Find the three terms and add
j=1 3(1)^2+1 = 3+1 =4
j=2 3(2)^2+1 = 3(4)+1 =13
j=3 3(9)^2+1 = 27+1 =28
The sum is 4+13+28 =45
The small number is 2.
The large number is 3.
<u>Step-by-step explanation:</u>
Let the two consecutive numbers be x and x+1.
- x be the small integer.
- x+1 be the large integer.
The sum of these two consecutive integers = small integer + large integer
The sum of these two consecutive integers is x+x+1 = (2x+1)
It is given that,
- The sum of two consecutive integers is one less than three times the smaller integer.
- This means that, (2x+1) is one less than three times the smaller integer.
- Here, the small integer is represented as x.
<u>Therefore, it can determined that :</u>
(2x+1) = 3x-1
Keeping x term on one side and constants on other side,
3x-2x = 1+1
x = 2
Therefore, the small number is 2 and the large number is x+1 = 3.
Answer:Factor by grouping.
Tap for more steps...
(
x
−
4
)
(
3
x
+
1
)
x
−
4
Reduce the expression by cancelling the common factors.
Tap for more steps...
3
x
+
1
Step-by-step explanation:
